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Tutors Answer Your Questions about Evaluation Word Problems (FREE)
Question 170702: The sum of two numbers is 175. The larger number is three more than three times the smaller number. Write a system of equations, and solve the system to find the numbers.: The sum of two numbers is 175. The larger number is three more than three times the smaller number. Write a system of equations, and solve the system to find the numbers.
Answer by jojo14344(888)  (Show Source): |
Question 170401: 2. As you are leaving the community, you notice another new community just down the street. Because you are in the area, you decide to inquire about it.
a) The sales representative here tells you they also have two floor plans available, but they only have 38 homes available. Write an equation that illustrates the situation. Use x and y to denote floor plan #1 and floor plan #2 respectively.
b) The representative tells you that floor plan #1 sells for $175,000 and floor plan #2 sells for $200,000. She also mentions that all the available houses combined are worth $7,200,000. Write an equation that illustrates this situation. Use the same variables you used in part a.
c) Use elimination to determine how many houses with each floor plan are available. Explain how you arrived at your answer.
: 2. As you are leaving the community, you notice another new community just down the street. Because you are in the area, you decide to inquire about it.
a) The sales representative here tells you they also have two floor plans available, but they only have 38 homes available. Write an equation that illustrates the situation. Use x and y to denote floor plan #1 and floor plan #2 respectively.
b) The representative tells you that floor plan #1 sells for $175,000 and floor plan #2 sells for $200,000. She also mentions that all the available houses combined are worth $7,200,000. Write an equation that illustrates this situation. Use the same variables you used in part a.
c) Use elimination to determine how many houses with each floor plan are available. Explain how you arrived at your answer.
Answer by Mathtut(563) (Show Source):
You can put this solution on YOUR website!lets call the number of floor plan 1, x and the number of floor plan 2, y.
:
x+y=38............eq 1
175000x+200000y=7200000...eq 2
:
 plan 1 houses  plan 2 houses
:
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Question 170229: evaluate {3(7 - 9) + 16}^3 ÷ (-5) - 2^4: evaluate {3(7 - 9) + 16}^3 ÷ (-5) - 2^4
Answer by Alan3354(1449) (Show Source):
You can put this solution on YOUR website! evaluate {3(7 - 9) + 16}^3 ÷ (-5) - 2^4
----------------
{3(7 - 9) + 16}^3 ÷ (-5) - 2^4
= (3(-2 + 16)^3/((-5) - 16) \\\ It's not clear what's meant to be in the denominator. Use more parentheses.
= (3*14)^3/(-21)
= 42^3/(-21)
= 42*42^2/(-21) A shortcut
= -2*42^2
= -3528
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Question 169619: I could really use help on the below problem. If any one can help me I would appreciate it very much. It has to do with forming two equations and solving the system of equations either by elimination or substitution method.
Q. You recently started the paperwork to purchase your new home, and you were just notified that you can move into the house in 2 weeks. You decide to hire a moving company, but are unsure which company to choose. You search online and are interested in contacting two companies, Heavy Lifters and Quick Move, to discuss their rates. Heavy Lifting charges an $80 fee plus $35 per hour. Quick Move charges $55 per hour with no additional fees.
a) Which mover provides a better deal for 2 hours of work? How did you arrive at your answer?
b) Which mover provides a better deal for 15 hours of work? How did you arrive at your answer?
c) For what values h (hours) does Quick Move offer the better deal? Express your answer as an inequality. Explain how you reached your answer.
: I could really use help on the below problem. If any one can help me I would appreciate it very much. It has to do with forming two equations and solving the system of equations either by elimination or substitution method.
Q. You recently started the paperwork to purchase your new home, and you were just notified that you can move into the house in 2 weeks. You decide to hire a moving company, but are unsure which company to choose. You search online and are interested in contacting two companies, Heavy Lifters and Quick Move, to discuss their rates. Heavy Lifting charges an $80 fee plus $35 per hour. Quick Move charges $55 per hour with no additional fees.
a) Which mover provides a better deal for 2 hours of work? How did you arrive at your answer?
b) Which mover provides a better deal for 15 hours of work? How did you arrive at your answer?
c) For what values h (hours) does Quick Move offer the better deal? Express your answer as an inequality. Explain how you reached your answer.
Answer by Mathtut(563) (Show Source):
You can put this solution on YOUR website!so lets come up with a formula using h for hours on each company:
:
heavy lifters, lets say HL, would be 80+35h
:
quick movers,lets say QM ,would be 55h
:
so for 2 hours ...HL would be 
...for 2 hours....QM would be 
:
for 15 hours....HL would be 
for 15 hours....QM would be 
:
now you want  because you want it to be a better deal
:
so 55h<80+35h.....subtract 35h
:
20h<80...divide by 20
:
 meaning anything less than 4 hours and QM has the better deal. at 4 hours the costs will be equal and anything above 4 hours and HL is the better deal
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Question 169032: John is twice as old as Tom. In three years Tom will be 11 years old. How old will John be in three years?: John is twice as old as Tom. In three years Tom will be 11 years old. How old will John be in three years?
Answer by ankor@dixie-net.com(4538) (Show Source):
You can put this solution on YOUR website!Let J = John's age now
Let T = Tom's age now
:
Write an equation for each statement:
:
"John is twice as old as Tom"
J = 2T
:
" In three years Tom will be 11 years old."
T + 3 = 11
T = 11 - 3
T = 8 yrs old now
:
How old will John be in three years?
:
Find J's age now:
J = 2T, therefore:
J = 2(8)
J = 16 yrs old now
:
In 3 yrs, John would be 19 yrs old, obviously
;
:
That's pretty simple, right?
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Question 168932: The weight of an object varies inversely with the square of the distance from earth's center (3,960 miles). A man weighs 250 lbs on the surface of the earth. How much would he weigh in an airplane flying at 30,000 ft?: The weight of an object varies inversely with the square of the distance from earth's center (3,960 miles). A man weighs 250 lbs on the surface of the earth. How much would he weigh in an airplane flying at 30,000 ft?
Answer by vleith(1174) (Show Source):
You can put this solution on YOUR website!Given that weogh vaores with square of distance from center. Given 250 pounds at 3960 miles.
 where W is weight, D is distance to center of earth in miles and C is some constant.
Let X be the weight in the airplane and Y be the distance from the center of the earth to the airplane.
 Need to convert 30000 feet into miles. 5280feet in a mile.
 miles
So
You can crunch the numbers from here
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Question 168393: A pastry chef created a 50 ounce sugar solution that was 34% sugar from a 20% sugar solution and a 40% sugar solution. How much of the 20% sugar solution and how much of the 40% sugar solution were used?: A pastry chef created a 50 ounce sugar solution that was 34% sugar from a 20% sugar solution and a 40% sugar solution. How much of the 20% sugar solution and how much of the 40% sugar solution were used?
Answer by Mathtut(563) (Show Source):
You can put this solution on YOUR website!let x = the number of oz in the 20% solution and y= the number of oz in the 40% solution
:
x+y=50...........eq 1
.2x+.4y=.34(50)..eq 2
from eq 1 we get y=50-x and we subtitute that value into eq 2
.2x+.4(50-x)=17
.2x+20-.4x=17
.2x=3
 oz of the 20% solution
 oz of the 40% solution
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Question 168015: liza sells candies and chocolates. she had already 25 chocolates which costs 2.25 pesos each and a number of candies which costs 1.75 pesos each. all in all, she gained an amount of 87.75 pesos. how many candies did liza sell?: liza sells candies and chocolates. she had already 25 chocolates which costs 2.25 pesos each and a number of candies which costs 1.75 pesos each. all in all, she gained an amount of 87.75 pesos. how many candies did liza sell?
Answer by jojo14344(888) (Show Source): |
Question 167534: In order to achieve maximum results from aerobic exercise, one should maintain ones heart rate at a certain level. A 45 year old woman with a resting heart rate of 85 beats per minute should keep her heart rate between 139 and 157 beats per minute while exercising. She checks her pulse for 10 sec while exercising. What should the number of beats be? : In order to achieve maximum results from aerobic exercise, one should maintain ones heart rate at a certain level. A 45 year old woman with a resting heart rate of 85 beats per minute should keep her heart rate between 139 and 157 beats per minute while exercising. She checks her pulse for 10 sec while exercising. What should the number of beats be?
Answer by Mathtut(563) (Show Source):
You can put this solution on YOUR website!if the rate needs to be  while exercising...... since this is only a 10 second count , we need to divide each limit by 6 (60/10), in order to have the right pulse limits for 10 seconds. 139/6=23.16 and 157/6=26.16 ------------------------------------------------------------------>so pulse needs to be between  beats for a 10 second count
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Question 167258: Pam is playing with red and black marbles. the number of red marbles she has is three more than twice the number of black marbles she has. she 42 marbles in all. how many red marbles does pam have?: Pam is playing with red and black marbles. the number of red marbles she has is three more than twice the number of black marbles she has. she 42 marbles in all. how many red marbles does pam have?
Answer by checkley77(3654) (Show Source):
You can put this solution on YOUR website!R=2B+3
R+B=42
(2B+3)+B=42
3B+3=42
3B=42-3
3B=39
B=39/3
B=13 NUMBER OF BLACK MARBLES.
R=2*13+3
R=26+3
R=29 RED MARBLES.
PROOF:
13+29=42
42=42
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Question 167252: arielle has a collection of grasshoppers and crikets.she has 561 insects in all. the number of grasshoppers is twice the number of crickets.find the number of each type of insect that she has: arielle has a collection of grasshoppers and crikets.she has 561 insects in all. the number of grasshoppers is twice the number of crickets.find the number of each type of insect that she has
Answer by Mathtut(563) (Show Source):
You can put this solution on YOUR website!grasshoppers will call g and crickets c
g+c=561
g=2c
take g's value in 2nd equation and plug it into the 1st equation.
 ---->  
so g=2(187)=374
so 374 grasshoppers and 187 crickets
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Question 166729: I really need some help solving this word problem. I have answered parts a & b but not sure if the answers I gave are correct. Part c. I do not understand how to do. Would someone mind please helping me out on this one...I would so appreciate it lots!!! Thank you!
****I answered part a. as ....x+y(3)=56 and part b. as ....x+y=56
not sure if these are the correct answers but these answers are needed in order to answer part c. and part d*****
1. Suppose you are in the market for a new home and are interested in a new housing community under construction in a different city
a) The sales representative informs you that there are two floor plans still available, and that there are a total of 56 houses available. Use x to represent floor plan #1 and y to represent floor plan #2. Write an equation that illustrates the situation.
b) The sales representative later indicates that there are 3 times as many homes available with the second floor plan than the first. Write an equation that illustrates this situation. Use the same variables you used in part a.
c) Use the equations from part a and b of this exercise as a system of equations. Use substitution to determine how many of each type of floor plan is available. Describe the steps you used to solve the problem.
d) What are the intercepts of the equation from part a of this problem? What are the intercepts from part b of this problem? Where would the lines intersect if you solved the system by graphing?
: I really need some help solving this word problem. I have answered parts a & b but not sure if the answers I gave are correct. Part c. I do not understand how to do. Would someone mind please helping me out on this one...I would so appreciate it lots!!! Thank you!
****I answered part a. as ....x+y(3)=56 and part b. as ....x+y=56
not sure if these are the correct answers but these answers are needed in order to answer part c. and part d*****
1. Suppose you are in the market for a new home and are interested in a new housing community under construction in a different city
a) The sales representative informs you that there are two floor plans still available, and that there are a total of 56 houses available. Use x to represent floor plan #1 and y to represent floor plan #2. Write an equation that illustrates the situation.
b) The sales representative later indicates that there are 3 times as many homes available with the second floor plan than the first. Write an equation that illustrates this situation. Use the same variables you used in part a.
c) Use the equations from part a and b of this exercise as a system of equations. Use substitution to determine how many of each type of floor plan is available. Describe the steps you used to solve the problem.
d) What are the intercepts of the equation from part a of this problem? What are the intercepts from part b of this problem? Where would the lines intersect if you solved the system by graphing?
Answer by vleith(1174) (Show Source): |
Question 165788: Hello, I'm trying to help my 5th grader with a word problem, it's below, will much appreciate it , if you would help, got your site from google. This problem is due tom. morning.Thank you
Ivan, Zoe, Denys and Ethan wanted to divided up a big old pickle 30 feet long.
Denys wants twice as much as Ivan does. Zoe wants twice as much as Denys does, but half as much as Ethan does.
How should they divide the pickle?
: Hello, I'm trying to help my 5th grader with a word problem, it's below, will much appreciate it , if you would help, got your site from google. This problem is due tom. morning.Thank you
Ivan, Zoe, Denys and Ethan wanted to divided up a big old pickle 30 feet long.
Denys wants twice as much as Ivan does. Zoe wants twice as much as Denys does, but half as much as Ethan does.
How should they divide the pickle?
Answer by Edwin McCravy(2087) (Show Source):
You can put this solution on YOUR website!Edwin's solution:
Ivan, Zoe, Denys and Ethan wanted to divided
up a big old pickle 30 feet long. So,
Denys wants twice as much as Ivan does. So,
Zoe wants twice as much as Denys does
Zoe wants...half as much as Ethan does.
So we have these equations:
Let's see if we can get equations for
I, D, and E in terms of Z. Then we'll substitute
them in the first equation.
From
, by multiplying both sides by 2,
So we have something to substitute for
 in terms of Z, namely  .
From
, by multiplying both sides by  ,
So we have something to substitute for
 in terms of Z, namely  .
From
 , by mutiplying both sides by ,
 . Then we can substitute
for in that, and get
 which is the same as
So we have something to substitute for
 in terms of Z, namely  .
So let's substitute all those in
, leaving  as it is:
Then we can multiply everything by  and get
Then we can divide both sides by  and get
Then we can get E from
Then we can get D from
Finally we can get I from
So
Ivan gets 2 inches, Zoe gets 8 inches,
Denys gets 4 inches, and Ethan gets 16 inches
Edwin
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Question 165788: Hello, I'm trying to help my 5th grader with a word problem, it's below, will much appreciate it , if you would help, got your site from google. This problem is due tom. morning.Thank you
Ivan, Zoe, Denys and Ethan wanted to divided up a big old pickle 30 feet long.
Denys wants twice as much as Ivan does. Zoe wants twice as much as Denys does, but half as much as Ethan does.
How should they divide the pickle?
: Hello, I'm trying to help my 5th grader with a word problem, it's below, will much appreciate it , if you would help, got your site from google. This problem is due tom. morning.Thank you
Ivan, Zoe, Denys and Ethan wanted to divided up a big old pickle 30 feet long.
Denys wants twice as much as Ivan does. Zoe wants twice as much as Denys does, but half as much as Ethan does.
How should they divide the pickle?
Answer by Fombitz(1756) (Show Source):
You can put this solution on YOUR website!Let's name everyone's cut length after the first letter of their name.
All their lengths together equal 30.
1. 
"Denys wants twice as much as Ivan does"
2. 
"Zoe wants twice as much as Denys does"
3. 
"Zoe wants half as much as Ethan does"
4. 
.
.
.
Since 3 and 4 both equal Z, set them equal to each other,
5. 
.
.
.
Now you can form an equation with only "I" as the variable, using substitutions from equations 2,3,and 5.
1.
.
.
.
Now go back and substitute this value in each of the equations,
2. 
3. 
5. 
.
.
.
Ivan gets 2 feet, Zoe gets 8 feet, Denys gets 4 feet and Ethan gets 16 feet.
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Question 165788: Hello, I'm trying to help my 5th grader with a word problem, it's below, will much appreciate it , if you would help, got your site from google. This problem is due tom. morning.Thank you
Ivan, Zoe, Denys and Ethan wanted to divided up a big old pickle 30 feet long.
Denys wants twice as much as Ivan does. Zoe wants twice as much as Denys does, but half as much as Ethan does.
How should they divide the pickle?
: Hello, I'm trying to help my 5th grader with a word problem, it's below, will much appreciate it , if you would help, got your site from google. This problem is due tom. morning.Thank you
Ivan, Zoe, Denys and Ethan wanted to divided up a big old pickle 30 feet long.
Denys wants twice as much as Ivan does. Zoe wants twice as much as Denys does, but half as much as Ethan does.
How should they divide the pickle?
Answer by vleith(1174) (Show Source):
You can put this solution on YOUR website!Let I be the amount Ivan wants.
Denys wants
Zoe wants 
Zoe also wants  so  and 
Added up, they use the whole pickle
If Ivan gets 2, then Denys gets 2*2 = 4
Zoe wants 4*I = 4*2 = 8
Ethan gets 8I (Ethan is a big pickle eater) - so E get 8*2 = 16
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Question 165237: Please help with:
Use substitution to determine whether -4, 2, and 1 are zeros of f(x)=x^3+3x^2-4x
Thanks.: Please help with:
Use substitution to determine whether -4, 2, and 1 are zeros of f(x)=x^3+3x^2-4x
Thanks.
Answer by themathprof(21) (Show Source):
You can put this solution on YOUR website!f(-4)=(-4)^3+3(-4)^2-4(-4)
f(-4)=-64+3(16)+16
f(-4)=64+48+16
f(-4)=128 -4 is not a zero
f(2)=2^3+3(2)^2-4(2)
f(2)=8+3(4)-8
f(2)=8+12-8= 12 2 is not a zero
f(1)=1^3+3(1)^2-4(1)
f(1)=1+3(1)-4
f(1)=4-4=0 1 is a zero !!
visit www.math911.com.
download,install, activate math911 (all free!)
it has hundreds of problems like this worked
out step by step
tell your classmates and teacher
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Question 165098: Johnny uses 80m of fencing materials to enclose three sides of a rectangular garden. The side if his house will make up the fourth. Find the garden of the area is 700 square meters.: Johnny uses 80m of fencing materials to enclose three sides of a rectangular garden. The side if his house will make up the fourth. Find the garden of the area is 700 square meters.
Answer by checkley77(3654) (Show Source):
You can put this solution on YOUR website!Let x be 2 of the sides & y be the third side.
2x+y=80
y=80-2x
xy=700
x(80-2x)=700
80x-2x^2-700=0
2x^2-80x+700=0
2(x^2-40x+350)=0
x=(40+-sqrt[-40^2-4*1*350])/2*1
x=(-40+-sqrt[1600-1400])/2
x=(40+-sqrt200)/2
x=(40+-14.142)/2
x=(40+14.142)/2
x=54.142/2
x=27.07
y=80-2*27.07
y=80-54.14
y=25.86
x=(40-14.142)/2
x=25.858/2
x=12.929
y=80-2*12.929
y=80-25.858
y=54.142
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Question 165098: Johnny uses 80m of fencing materials to enclose three sides of a rectangular garden. The side if his house will make up the fourth. Find the garden of the area is 700 square meters.: Johnny uses 80m of fencing materials to enclose three sides of a rectangular garden. The side if his house will make up the fourth. Find the garden of the area is 700 square meters.
Answer by Alan3354(1449) (Show Source):
You can put this solution on YOUR website!Johnny uses 80m of fencing materials to enclose three sides of a rectangular garden. The side if his house will make up the fourth. Find the garden of the area is 700 square meters.
----------------
Find what?
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Question 165097: A circular flower bed is surrounded by a ring of grass with an Area of 314 square yards. Find the width of the ring of grass. : A circular flower bed is surrounded by a ring of grass with an Area of 314 square yards. Find the width of the ring of grass.
Answer by jim_thompson5910(9392) (Show Source):
You can put this solution on YOUR website!Are you sure that you don't want find the "radius" (instead of the "width")? Or do you want to find the diameter?
 Start with the area of a circle formula
 Plug in  and replace  with  (this is an approximation)
 Divide both sides by 3.14
 Divide
 Rearrange the equation.
 Take the square root of both sides (only the positive square root is considered).
So the radius of the circle is about 10 yards which means that the diameter is about 20 yards (which is twice the radius)
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Question 165097: A circular flower bed is surrounded by a ring of grass with an Area of 314 square yards. Find the width of the ring of grass. : A circular flower bed is surrounded by a ring of grass with an Area of 314 square yards. Find the width of the ring of grass.
Answer by Alan3354(1449) (Show Source): |
Question 165101: A baseball is hit at a point 3 ft above the ground at a velocity of 100ft/s and at an angle of 45 degrees with respect of the ground. The path of the baseball is given by the function f(x) = -0.0032x2 + x +3 where f(x) is the height of the baseball (in feet) and x is the horizontal distance from home plate (in feet). What's the maximum hieght reached by the baseball?: A baseball is hit at a point 3 ft above the ground at a velocity of 100ft/s and at an angle of 45 degrees with respect of the ground. The path of the baseball is given by the function f(x) = -0.0032x2 + x +3 where f(x) is the height of the baseball (in feet) and x is the horizontal distance from home plate (in feet). What's the maximum hieght reached by the baseball?
Answer by jim_thompson5910(9392) (Show Source):
You can put this solution on YOUR website!Remember, the max height occurs at the vertex. So if we find the y-coordinate of the vertex, we find the max height.
Note: the same applies to the min height (if there exists a min height)
In order to find the vertex, we first need to find the x-coordinate of the vertex.
To find the x-coordinate of the vertex, use this formula:  .
Start with the given formula.
From  , we can see that  ,  , and  .
 Plug in  and .
 Multiply.
 Divide
So the x-coordinate of the vertex is .
Now that we know the x-coordinate of the vertex, we can use it to find the y-coordinate of the vertex.
Start with the given equation.
 Plug in .
 Square  to get  .
 Multiply
 Combine like terms.
So the y-coordinate of the vertex is .
So the vertex is (156.25,81.125).
Since the y-coordinate is , this means that the max height is 81.125 ft.
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Question 165093: A 10m by 34m garden is surrounded by a walkway of uniform width (call it "x"). The total area of the garden and walkway is 640 square meters. what is the width of the walkway?: A 10m by 34m garden is surrounded by a walkway of uniform width (call it "x"). The total area of the garden and walkway is 640 square meters. what is the width of the walkway?
Answer by jim_thompson5910(9392) (Show Source):
You can put this solution on YOUR website!Let x = width of the path
With these type of problems, it helps to draw a picture. So draw two rectangles, one inside of the other, and label the inside rectangle's dimensions:
Now the label the width of the path "x" (denoted in red)
Since there are 2 "x" lengths per side, this means that you need to add "2x" to both the length and width of the inner rectangle to get the length and width of the outer rectangle. If this makes no sense at all, here's a visual:
So the length and width of the outer rectangle is  and  respectively. This means that for the outer rectangle  (the given area of both the walkway and the garden),  and 
Remember, the area of any rectangle is 
Start with the area of a rectangle formula
 Plug in , and
 FOIL
 Subtract 640 from both sides.
 Combine like terms.
Notice we have a quadratic equation in the form of  where  ,  , and 
Let's use the quadratic formula to solve for x.
 Start with the quadratic formula
 Plug in , , and
 Square  to get  .
 Multiply  to get 
 Rewrite  as 
 Add to  to get 
 Multiply  and to get  .
 Take the square root of to get  .
 or  Break up the expression.
 or  Combine like terms.
 or  Simplify.
So the possible answers are or
However, since a negative width is not possible, this means that is NOT a solution.
==================================================
Answer:
So the solution is which means that the width of the path is 3 meters.
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Question 165099: the perimeter of a rectangle is 88cm. Find the maximum area possible for a rectangle with this perimeter.: the perimeter of a rectangle is 88cm. Find the maximum area possible for a rectangle with this perimeter.
Answer by Alan3354(1449) (Show Source):
You can put this solution on YOUR website!the perimeter of a rectangle is 88cm. Find the maximum area possible for a rectangle with this perimeter.
------------------
L = Length
W = Width
perimeter = 2L + 2W = 88
Area =L*W
----------
2L + 2W = 88
L+W = 44
L = 44-W
Substitute into eqn for Area
A = (44-W)*W
88 = 44W - W^2
W^2 - 44W + 88 = 0
Set the 1st derivative = 0
2W - 44 = 0
W = 22
Maximum area (for a rectangle) is a square.
Each side is 22 cm
The area is 22x22 = 484 sq cm
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Question 164605: The product of the two-digit number and its tens digit is 54. Find the number if the sum of the digits when added to the number gives a result of 36?: The product of the two-digit number and its tens digit is 54. Find the number if the sum of the digits when added to the number gives a result of 36?
Answer by vleith(1174) (Show Source):
You can put this solution on YOUR website!Using the factors that evenly divided into 54, we can see that there are three sets of number that are "possible" answers. That is, they contain one factor that are two digits
1*54
2*26
3*18
The only one that fits is 2*26 (first digit doesn't match in the others)
Now make sure the second part still works. Is 26 + 8 = 36?
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Question 164570: What is three more than twice a certain number is seven less than three times the number?: What is three more than twice a certain number is seven less than three times the number?
Answer by jojo14344(888) (Show Source): |
Question 164275: Suppose you have 4 liters of paint that is 60 %green and 40 % white. How much green paint must you add to produce a mixture that is 80%green and 20 % white
answer: 4 liters of green are added
need a break down of how they got 4 liters of green were added: Suppose you have 4 liters of paint that is 60 %green and 40 % white. How much green paint must you add to produce a mixture that is 80%green and 20 % white
answer: 4 liters of green are added
need a break down of how they got 4 liters of green were added
Answer by Fombitz(1756) (Show Source):
You can put this solution on YOUR website!Let's call the liters of paint added G.
You start out with 4 liters of paint that is 60 %green and 40 % white.
4(60/100)=2.4 liters green
4(40/100)=1.6 liters white
.
.
.
I want the percentage of green to be 80% when I add G liters, then,
.
.
.
Liters of Green/Liters of Paint=Percent Green
.
.
.
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Question 163889: days The Montegro Flooring Company can peplave 200 square feet of carpet wiht tile in on one day.They accept a job replacing carpet with tile in an apartment that measures 977.5 square feet. How many days will it take the Montegro Flooring Company to compltet this job: days The Montegro Flooring Company can peplave 200 square feet of carpet wiht tile in on one day.They accept a job replacing carpet with tile in an apartment that measures 977.5 square feet. How many days will it take the Montegro Flooring Company to compltet this job
Answer by checkley77(3654) (Show Source): |
Question 163891: The Montegro Flooring Company can peplave 200 square feet of carpet wiht tile in on one day.They accept a job replacing carpet with tile in an apartment that measures 977.5 square feet. How many days will it take the Montegro Flooring Company to compltet this job: The Montegro Flooring Company can peplave 200 square feet of carpet wiht tile in on one day.They accept a job replacing carpet with tile in an apartment that measures 977.5 square feet. How many days will it take the Montegro Flooring Company to compltet this job
Answer by josmiceli(2035) (Show Source): |
Question 163040: The greater of two numbers is 8 more than 5 times the smaller. Their sum is 68. Find the numbers
: The greater of two numbers is 8 more than 5 times the smaller. Their sum is 68. Find the numbers
Answer by joecbaseball(34) (Show Source):
You can put this solution on YOUR website!Let the bigger number be x, and let the smaller number be y.
Then x = 8 bigger than 5 times the smaller, so x = 5y + 8, and…
x + y = 68
Substitute the value of x (5y + 8) into the x value of the second equation, and you get…
(5y + 8) + y = 68, which gives you 6y + 8 = 68.
Subtract 8 from each side to get 6y = 60, and divide both sides by 6 to get y = 10.
Now substitute this value of y into either equation, and solve for x.
This will give you an x value of 58, and those are your answers;
x= 58 and y = 10.
Good luck
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Question 162041: The Ajax Company can sell gidgets for 10.97 a piece. What does it cost the company to manifacture each gidget if it makes a profit of 8%.
i need a break down of why the answer is x=10.16;the manufactering cost is $10.16: The Ajax Company can sell gidgets for 10.97 a piece. What does it cost the company to manifacture each gidget if it makes a profit of 8%.
i need a break down of why the answer is x=10.16;the manufactering cost is $10.16
Answer by checkley77(3654) (Show Source):
You can put this solution on YOUR website!8%=8/100=.08
Cost of manufactuting the gidget=x.
x+.08x=selling price.
1.08x=selling price.
1.08x=10.97
x=10.97/1.08
x=10.16 cost of manufacturing the gidget.
--------------------------------
10.97/1.08=10.16 answer.
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Question 161986: A weight of 250g stretches a spring to a distance of 9.5 cm. If the distance stretched is directly proportional to the attached weight, what weight will stretch the spring to 5.7cm?: A weight of 250g stretches a spring to a distance of 9.5 cm. If the distance stretched is directly proportional to the attached weight, what weight will stretch the spring to 5.7cm?
Answer by Edwin McCravy(2087) (Show Source): |
Question 161984: In y=4x, what happens to y ehn x is doubled?increased by 2?decreased by 3?halved?
a) Lets double x: so x becomes 2x
y=4x
y=4(2x)
y=8x....y is doubled
b) Lets increase x by 2; so x becomes x+2
y=4x
y=4(x+2)
y=4x+8 so y increased by 8
c) Let x be decreased by 3 so x becomes x-3
y=4x
y=4(x-3)
y=4x-12....so y is decreased by 12
d) Let x be halved, so x becomes x/2
y=4x
y=4(x/2)
y=4x/2..... so y is halved: In y=4x, what happens to y ehn x is doubled?increased by 2?decreased by 3?halved?
a) Lets double x: so x becomes 2x
y=4x
y=4(2x)
y=8x....y is doubled
b) Lets increase x by 2; so x becomes x+2
y=4x
y=4(x+2)
y=4x+8 so y increased by 8
c) Let x be decreased by 3 so x becomes x-3
y=4x
y=4(x-3)
y=4x-12....so y is decreased by 12
d) Let x be halved, so x becomes x/2
y=4x
y=4(x/2)
y=4x/2..... so y is halved
Answer by eperette(63) (Show Source): |
Question 161985: In y=4x, what happens to y when x is doubled?increased by 2?decreased by 3?halved?: In y=4x, what happens to y when x is doubled?increased by 2?decreased by 3?halved?
Answer by KnightOwlTutor(216) (Show Source):
You can put this solution on YOUR website!When x is doubled we write it as 2x and replace the x value with 2x
y=4(2x) y=8x The y value is also doubled 8x/4x=2
When x is increased by 2
y=4(x+2) y=4x+8 The y value is increase by 8 units
When x is decreased by 3
y=4(x-3) y=4x-12
The y value decreases by 12 units
When x is halved x/2
y=4(x/2)
y=2x The y values are also halved.
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Question 161988: The scale distance on a map varies directly as the actual distance. If the actual distance of 1500 km is represented by 5 cm on the map, what is the actual distance represented by 12 cm?: The scale distance on a map varies directly as the actual distance. If the actual distance of 1500 km is represented by 5 cm on the map, what is the actual distance represented by 12 cm?
Answer by KnightOwlTutor(216) (Show Source):
You can put this solution on YOUR website!For every 1500km actual distance it corresponds to 5cm on the map.
This is the ratio 1500km/5cm We can simplify it by dividing 1500 by 5. 300km/1cm
In order to find the actual distance represented by 12 cm. we would generate the following ratio 300km/1cm(12cm)=3,600km
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Question 161784This question is from textbook 
: jessica ran a marathon. it took her 3 hours and 2 minutes to run 26 miles. if she ran at the same rate for the whole race how many minutes did it take for her to run each mile?This question is from textbook
: jessica ran a marathon. it took her 3 hours and 2 minutes to run 26 miles. if she ran at the same rate for the whole race how many minutes did it take for her to run each mile?
Answer by checkley77(3654) (Show Source): |
Question 161731: A man rowed 10 km up ariver in 5 hours and back in 21/2 hours. Find the rate of the current and his rate of rowing in still water.: A man rowed 10 km up ariver in 5 hours and back in 21/2 hours. Find the rate of the current and his rate of rowing in still water.
Answer by josmiceli(2035) (Show Source):
You can put this solution on YOUR website!Let the rate of the current = 
Let his rate rowing in still water = 
Going upriver is against the current
Going back is with the current
This is 2 equations and 2 unknowns, so I should
be able to solve
Multiply both sides of the 1st by 
Multiply both sides of the 2nd by 
(1) 
(2) 
----------------------
(1) 
(2) 
Multiply (2) by and add equations
(1)
(2) 
 km/hr
And, since
 km/hr
His rate in still water is 3 km/hr and the rate of the
current is 1 km/hr
check:
OK
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Question 161736: a certain number, if two digits equals 4 times thew sum of its digits. the number made by reversing the order of the digits is 27 greater than the given number. what is the number?: a certain number, if two digits equals 4 times thew sum of its digits. the number made by reversing the order of the digits is 27 greater than the given number. what is the number?
Answer by Fombitz(1756) (Show Source):
You can put this solution on YOUR website!Let's call the number in the tens place A and the number in the ones place B.
The number would be AB or 10*A+B.
1. 
If the number is reversed then,
2. 
Let's simplify both equations,
1. 
1. 
and now eq. 2,
2.
2. 
Let's multiply eq. 1 by 3 and add to eq. 2,
then we can solve for A.
Now use eq. 1 to solve for B.
1.
The original number is 36, the reversed order number is 63.
Check the answer.
36+27=63
63=63.
True statement.
Good answer.
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Question 161483: I need help to solve this "Tom’s uncle owns a triangular piece of land. The perimeter fence that surrounds the land measures 378 yards. The shortest side is 30 yards longer than one-half of the longest side. The second longest side is 2 yards shorter than the longest side. What is the length of each side?" : I need help to solve this "Tom’s uncle owns a triangular piece of land. The perimeter fence that surrounds the land measures 378 yards. The shortest side is 30 yards longer than one-half of the longest side. The second longest side is 2 yards shorter than the longest side. What is the length of each side?"
Answer by checkley77(3654) (Show Source):
You can put this solution on YOUR website!SHORT=LONGEST/2+30
MIDDLE=LONGEST-2
LONGEST+(LONGEST/2+30)+LONGEST-2=378
L+L/2+30=L-2=378
2.5L=378-30+2
2.5L=350
L=350/2.5
L=140 YDS. IS THE LONGEST SIDE.
S=140/2+30=70+30=100 YDS. IS THE SHORTEST SIDE.
M=140-2=138 YDS. IS THE MIDDLE SIDE.
PROOF:
140+100+138+378
378=378
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Question 161323: A youth group with 26 members is going skiing. Each of the five chaperons will drive a van or a sedan. The vans can seat seven people, and the sedans can seat five people. How many of each type of vehicle could transport all 31 people to the ski area in one trip?
I really need help I do not understand this word problem at all please help me: A youth group with 26 members is going skiing. Each of the five chaperons will drive a van or a sedan. The vans can seat seven people, and the sedans can seat five people. How many of each type of vehicle could transport all 31 people to the ski area in one trip?
I really need help I do not understand this word problem at all please help me
Answer by vleith(1174) (Show Source):
You can put this solution on YOUR website!This is a problem that 'sort of' models a real life situation. There are many answers that work, and several that won't.
You have 26 youth and 5 chaperons. That is a total of 31 people.
You can use vans and sedans. Without any info on what the cost associated with each vehicle is, you can't ,make any desicion base don that. What you can do is figure out the combinations of sedans and vans that will work.
Each van can seat 7 people. With 5 chaperons each driving a van, you can take 35 people total. So that works. One answer is 5 vans. That would leave 4 empty seats.
Since each sedan can hold five people, every time you swap a sedan for a van, you lose the ability to take 2 people. So you can use 4 vans and 1 sedan. That combo allows you to take (4*7) + (1*5) = 33. You still have 2 empty seats.
You can use 3 vans and 2 sedans. (3*7) + (2+5) = 31. No more empty seats.
You cannot use more than 2 sedans or you'll need more than one trip.
So you have 3 possible options. In a real life setup, you would probably have some information on how expensive it is to use a van and a sedan (price of gas, maybe rental cost, etc). You would then use the one that make best 'cents' ;)
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Question 161094: Apply scientific notation to scientific models/ word problems.
1. Suppose the number of people who live in St. Jerome and pay a water bill is 1,430,000. If the average water bill per month is $80, what is the total amount of money received by the city for water yearly? (Write answer in scientific notation form.)
: Apply scientific notation to scientific models/ word problems.
1. Suppose the number of people who live in St. Jerome and pay a water bill is 1,430,000. If the average water bill per month is $80, what is the total amount of money received by the city for water yearly? (Write answer in scientific notation form.)
Answer by checkley77(3654) (Show Source): |
Question 161028: two less than one third of a number equals 3 more than fourth of the number. find the number: two less than one third of a number equals 3 more than fourth of the number. find the number
Answer by ankor@dixie-net.com(4538) (Show Source):
You can put this solution on YOUR website!two less than one third of a number equals 3 more than fourth of the number. find the number
 x - 2 =  x + 3
Add 2 to both sides:
x = x + 3 + 2
x = x + 5
Multiply equation by 12 to get rid of the denominators:
12* x = 12* x + 12(5)
Results:
4x = 3x + 60
4x - 3x = 60
x = 60
:
:
Check solution original equation:
(60) - 2 = (60) + 3
20 - 2 = 15 + 3
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Question 161029: twice the greater of two consecutive odd integers is 13 less than three times the lesser number. find the integers: twice the greater of two consecutive odd integers is 13 less than three times the lesser number. find the integers
Answer by ankor@dixie-net.com(4538) (Show Source):
You can put this solution on YOUR website!Let the two odd consecutive integers be: x, (x+2)
Write an equation for what it says:
"twice the greater of two consecutive odd integers is 13 less than three times the lesser number."
2(x+2) = 3x - 13
2x + 4 = 3x - 13
4 + 13 = 3x - 2x
17 = x
:
The two numbers, 17, 19
:
Check solution in the given statement
2(19) = 3(17) - 13
38 = 51 - 13
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Question 160902: A photograph that measures 20 cm by 35 cm is to be surrounded by a matte before framing. The
width of the matte will be equal on all four sides. If the area of the matte will be twice the area of
the photograph, determine the width of the matte.: A photograph that measures 20 cm by 35 cm is to be surrounded by a matte before framing. The
width of the matte will be equal on all four sides. If the area of the matte will be twice the area of
the photograph, determine the width of the matte.
Answer by ankor@dixie-net.com(4538) (Show Source):
You can put this solution on YOUR website!A photograph that measures 20 cm by 35 cm is to be surrounded by a matte before
framing. The width of the matte will be equal on all four sides.
If the area of the matte will be twice the area of the photograph, determine
the width of the matte.
:
Let x = width of the matte
:
20 * 35 = 700 sq cm is the area of the photo
then
2(700) = 1400 sq cm is the area of the matte
:
The dimension of the matte will be (2x+20) by (2x+35)
:
I am assuming that the matte will not be behind the photo, just around it
Therefore we can find the area using these dimensions, assuming the area will
be 2100 sq cm with 700 sq cm (which is behind the photo) not counted
giving us a matte area of 1400 sq cm
:
(2x + 20) * (2x + 35) = 2100
FOIL
4x^2 + 70x + 40x + 700 = 2100
:
4x^2 + 110x + 700 - 2100 = 0
:
4x^2 + 110x - 1400 = 0
Simplify divide by 2
2x^2 + 55x - 700 = 0
This equation requires the quadratic formula:
In this equation; a=2; b=55; c=-700
:
:
Solve this and you should get a positive solution: x = 9.4677 cm as the width
;
A rough check using a calc: 2x = 19
(20+19*)(35+19) = 2106 cm - 700 (behind the photo) = 1406 sq/cm area of the matte
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Question 159843This question is from textbook
: Two friends are renting an apartment. They pay the landlord the 1st months rent. The landlord also requires them to pay an additional half of a months rent for a security deposit. The total amount they pay landlord before moving in is $1725. What is the monthly rent?This question is from textbook
: Two friends are renting an apartment. They pay the landlord the 1st months rent. The landlord also requires them to pay an additional half of a months rent for a security deposit. The total amount they pay landlord before moving in is $1725. What is the monthly rent?
Answer by petvetizhere(5) (Show Source): |
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