|
Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)
Question 241472: Find an equation of variation if the following conditions exist.
Suppose that y varies directly as z and y = 43 when z = 387.
Answer by stanbon(26297)   (Show Source):
You can put this solution on YOUR website!Find an equation of variation if the following conditions exist.
Suppose that y varies directly as z and y = 43 when z = 387.
-----------------------------------
y = kz
--------------------
43 = k*387
k = 43/387
k = 1/9
-------------------
Equation:
y = (1/9)/z
y = 1/(9z)
=========================
Cheers,
Stan H.
Question 241436: The director of a summer day camp estimates that 100 children will join if the camp fee is $250, but for each $20 decrease in the fee, ten more children will enroll. A.)Determine the linear equation that will represent the number of children who will enroll at a given fee. B.)Approximately how many students will enroll if the camp fee is $180? Round to the nearest child. C.) How many students will enrol if the camp is free? Round to the nearest child.
Answer by stanbon(26297) (Show Source):
You can put this solution on YOUR website! The director of a summer day camp estimates that 100 children will join if the camp fee is $250, but for each $20 decrease in the fee, ten more children will enroll.
A.)Determine the linear equation that will represent the number of children who will enroll at a given fee.
N(x) = 100+10(250-x)/20
-----------------------------------------------------
B.)Approximately how many students will enroll if the camp fee is $180? Round to the nearest child.
N(180) = 100+10(250-180)/20
N(180) = 100 + 10(7/2)
N(180) = 135
------------------------------
C.) How many students will enroll if the camp is free? Round to the nearest child.
N(0) = 100 + 10(250-0)/20
N(0) = 100 + 10(12.5)
N(0) = 100 + 125
N(0) = 225
=====================
Cheers,
Stan H.
Question 241428: Perform the indicated operation. Write the answer in scientific notation.
20x10^4/5x10^2
Answer by user_dude2008(716) (Show Source):
Question 241369: The sum of two numbers is 70. The second is 10 more than 3 times the first. Find the numbers. Choose the answer with the correct equations used to solve this problem.
Answer by stanbon(26297) (Show Source):
You can put this solution on YOUR website!The sum of two numbers is 70. The second is 10 more than 3 times the first. Find the numbers. Choose the answer with the correct equations used to solve this problem.
----------------
Equations:
x + y = 70
y = 3x+10
------------------
Subsitute for "y" and solve for "x":
x + (3x+10) = 70
4x = 60
x = 15 (1st number)
y = 3x+10, so y = 45*10 = 55 (2nd number)
==========================================
Cheers,
Stan H.
Question 241138: The semester average is computed by taking 1/3 of the midterm exam score plus 2/3 of t he final exam score. To get a C, Stacy must have a semester average between 70 and 79 inclusive. If Stacy scored only 48 on the midterm, then for what range of scores on the final exam will Stacy get a C?
Answer by ankor@dixie-net.com(6693)  (Show Source):
You can put this solution on YOUR website!The semester average is computed by taking 1/3 of the midterm exam score plus 2/3 of the final exam score.
To get a C, Stacy must have a semester average between 70 and 79 inclusive.
If Stacy scored only 48 on the midterm, then for what range of scores on the final exam will Stacy get a C?
:
Let x = final exam score
Since it counts twice as much as the midterm, write
 > 70
48 + 2x > 3(70)
48 + 2x > 210
2x > 210 - 48
2x > 162
x > 
x > 81 to get an over 70 average
:
You can find the upper limit the same way; just solve
< 79
Question 240358: Translate into an equation:
f varies directly as the square of b
Answer by College Student(217)  (Show Source):
Question 241021: what is the minimum product of two numbers that differ by 7? what are the numbers?
Answer by checkley77(7072) (Show Source):
Question 240603: In three years, Lacey will be twice as old as Jennifer will be. At presemt, twice Lacey's age is the same as the product of Rachel's and Jennifer's ages. If Rachel is now twice as old as Jennifer, find the ages of all three girls.
I started out with let L be Lacey's age, J be Jennifer's age and R be Rachel's age. The first equation I came up with was (L+3)=2(J+3). The second was 2L=RJ. The 3rd was R=2J...
Answer by ankor@dixie-net.com(6693) (Show Source):
You can put this solution on YOUR website!In three years, Lacey will be twice as old as Jennifer will be.
At present, twice Lacey's age is the same as the product of Rachel's and Jennifer's ages.
If Rachel is now twice as old as Jennifer, find the ages of all three girls.
:
Your equations are OK, just simplify the 1st one
:
The first equation I came up with was
(L+3)=2(J+3)
L + 3 = 2J + 6
L = 2J + 6 - 3
L = 2J + 3
:
The second was
2L = RJ
:
The 3rd was
R = 2J
:
Refer to the 1st equation, replace L in the 2nd equation with (2J+3)
2L = RJ
2(2J+3) = R*J
4J + 6 = R*J
:
Refer to the 3rd equation, replace R with 2J in the above equation
4J + 6 = 2J*J
4J + 6 = 2J^2
we can arrange this as a quadratic equation and solve
0 = 2J^2 - 4J - 6
Simplify divide by 2
0 = J^2 - 2J - 3
Factor this
(J-3)(J+1) = 0
The positive solution only
J = 3 yrs old is Jennifer's age
:
We can use your 3rd equation to find R
R = 2(3)
R = 6 yrs is Rachel's age
:
Find L using your 1st equation
L = 2J+3
L = 2(3) + 3
L = 9 yrs is Lacey's age
;
:
Check solution in the statement:
"In three years, Lacey will be twice as old as Jennifer will be."
9 + 3 = 2(3+3)
:
Also
"twice Lacey's age is the same as the product of Rachel's and Jennifer's ages"
2(9) = 6 * 3
;
Could you follow this OK? You made a good start.
Question 240624: Amy is making chocolate tea bread and a special oatmeal bread to sell at a bake sale. A batch of chocolate tea bread requires 2 eggs and 2 cups of flour. The oatmeal bread requies 3 cups of flour and 1 egg. Amy has 12 cups of flour and 8 eggs on hand. She makes a profit of $2 on both kinds of bread. Write a set of constraints that cold be used to graph the feasible region.
Answer by solver91311(5072)  (Show Source):
Question 240474: Please help me write out and solve this equation:
A store owener sells two pairs of running shoes for each pair of high tops. He plans to order 144 pairs of shoes. How many pairs should be high tops?
Found 2 solutions by scott8148, unlockmath:
Answer by scott8148(3385)  (Show Source):
You can put this solution on YOUR website!"A store owener sells two pairs of running shoes for each pair of high tops" ___ r = 2h
"He plans to order 144 pairs of shoes" ___ r + h = 144
two unknowns (r and h) and two equations
substituting ___ (2h) + h = 144 ___ h = 48
substituting ___ r = 2(48) = 96
Answer by unlockmath(121)  (Show Source):
You can put this solution on YOUR website!Hello,
Let's first set up where x will show the number of high tops. 2x will represent the number of running shoes. Now we can set up and equation:
x+2x=144 Combine like terms
3x=144 Divide both sides by 3
x=48
This shoes us that 48 high tops will be sold and 96 Running shoes will be sold.
RJ Toftness
www.math-unlock.com
Question 240475: Please help me write out and solve this equation:
At the Shake Shack two orders of fries and four shakes costs $5.90. How much is an order of fries.
Answer by scott8148(3385) (Show Source):
Question 239288: Find the equation through the point (2,4) with slope 4
Answer by anantha(74) (Show Source):
You can put this solution on YOUR website!sol:
equation of the line passing through (x1,y1) and slope m is
y-y1=m(x-x1)
in this problem the coordinates (x1,y1)=(2,4) means x1=2 and y1=4 and slope m=4
substitute these values in the above formula
y-4=4(x-2)
y-4=4x-8
transpose L.H.S part to R.H.S
4x-8-y+4=0
4x-y-4=0
which is the requried equation passing through (2,4) and slope 4
Question 239287: One number is five times another number. Their sum is twelve more than the smaller number. Find the two numbers.
Answer by stanbon(26297) (Show Source):
You can put this solution on YOUR website!One number is five times another number. Their sum is twelve more than the smaller number. Find the two numbers.
---------------------------------------
Equations:
x = 5y
That means y is the smaller number.
x+y = y+12
-------------------
x = 12
y = (12/5)= 2.4
--------------------------
Cheers,
Stan H.
Question 238824: Soybean meal is 12% protien; cornmeal is 6% protein. How many pounds of each should be mixed together in order to get 240 lb mixture that is 10% protein
How many pounds of the cornmeal should be in the mixture?____lb
How many pounds of the soybean meal should be in the mixture?____lb
Answer by stanbon(26297) (Show Source):
You can put this solution on YOUR website!Soybean meal is 12% protien; cornmeal is 6% protein. How many pounds of each should be mixed together in order to get 240 lb mixture that is 10% protein
How many pounds of the cornmeal should be in the mixture?____lb
How many pounds of the soybean meal should be in the mixture?____lb
-------------------
Equation:
protein + protein = protein
0.12x + 0.06*(240-x) = 0.10*240
Multiply thru by 100 to get:
12x + 6*240 - 6x = 10*240
6x = 4*240
x = 160 lb (amount of cornmeal needed in the mixture)
240-x = 80 lb (amount of soybean meal needed in the mixture)
================================================================
Cheers,
Stan H.
Question 238782: The surface area "S" of a right prism is given by s=2b+ph where "b" is the area of the base. P is the perimeter of base and "h" is the height of the prism. Solve for P
Answer by stanbon(26297) (Show Source):
You can put this solution on YOUR website!The surface area "S" of a right prism is given by s=2b+ph where "b" is the area of the base. P is the perimeter of base and "h" is the height of the prism. Solve for P
-----------------------
s = 2b + ph
ph = s-2b
p = (s-2b)/h
==================
Cheers,
Stan H.
Question 238780: A small publishing company has a one time product cost for editing and printing of 56,430.00. Variable cost per book is $8.25. Publishe is selling the book to the store for $21.75. How many books must the publisher print and sell so that the production cost will equal the money obtained from sells.
Answer by stanbon(26297) (Show Source):
You can put this solution on YOUR website!A small publishing company has a one time product cost for editing and printing of 56,430.00. Variable cost per book is $8.25. Publisher is selling the book to the store for $21.75. How many books must the publisher print and sell so that the production cost will equal the money obtained from sales.
----------------
Let "x" be the number of books they have to sell.
---
Income = 21.75x dollars
Production cost = 56,430 +8.25x
-----------------------
Breakeven equation:
21.75x = 56430 + 8.25x
13.50x = 56430
x = 4180 books
---
==============================
Cheers,
Stan H.
Question 238682:
Amy paid $63.36 for a pair of running shoes during a 15% off sale. What was the regular price?
Train A and B are traveling in the same direction on parallel tracks. Tran A is traveling at 100 miles per hour and train B is traveling at 125 miles per hour. Train A passes a station at 1:25p.m If train B passes the same station at 1:37p.m., at what time will train B catch up to train A?
Answer by checkley77(7072) (Show Source):
You can put this solution on YOUR website!63.36=(1-.15)x
63.36=.85x
x=63.36/.85
x=$74.54 was the original price.
======================================
D=RT
SEEING AS THE DISTANCES ARE EQUAL THEN:
100T=125(T-.2)
100T=125T-25
100T-125T=-25
-25T=-25
T=-25/-25
T=1 HOUR THEY WILL MEET.
Question 238711: In college there are 15 times as many students as professors. if together the students and professors number 40,000, how students are there in college?
Answer by College Student(217) (Show Source):
You can put this solution on YOUR website!The problem tells us there are 15 times more students than professors, so we can say:
x = professors
15x = students
Now, their addition equals 40,000. So our equation would be:
Now solve for x to find out how many professors ther are.
.
Now plug this figure in 15x to determine how many students there are.
.
There are 2,500 professors and 37,500 students.
.
Check:
Question 238733: The car costs $12590 and is 20% off. What was the original price?
answer $15737.50
no comprendo. please explain!
Answer by JimboP1977(76)  (Show Source):
You can put this solution on YOUR website!Ok do you understand what 20% off something means?
It means that 20% of that price is taken away from its original price.
So we are saying that the original price minus 20% of its original price equals its new price.
A good rule to remember is to find a percentage of something: find 1% first and then multiply by the percentage you want to find.
For example if you want to find 20% of the original price you would divide the original price by 100 to get 1% and then multliply by 20 to get 20%
Mathematically:
x = original price
y = new price
x-(20/100)*x = y
So in the question we know y but do not know x. So we need to rearrange to find x.
Take the common factor out of x
x(1-20/100) = y
x(4/5) = y
x = y/(4/5)
x = 12590/(4/5)
x = 15737.5
Another way to think about is is that the original price multiplied by 80% (100%-20%) equals the reduced price?
Does that help? Or is it more confusing? Please get back to me.
Question 238683: Find the slope and the y-intercept
f(x)= -9-8
what is the slope?
what is the y-intercept?
Found 2 solutions by Alan3354, solver91311:
Answer by Alan3354(6097)  (Show Source):
Answer by solver91311(5072) (Show Source):
Question 238368: How do I solve this question?
If 2k + 3y = k and 4x =7y, which of the following represents the value of y in terms of k?
Answer by stanbon(26297) (Show Source):
Question 237587: A site licensing fee for a computer program is $1500. Paying this fee allows the company to use the program at any computer terminal within the company. Alternatively, the company can choose to pay $200 for each individual computer it has. How many individual computers must a company have for the site license to be more economical for the company?
These are word problems for Inequalities
Answer by Theo(675)  (Show Source):
You can put this solution on YOUR website!site license fee = $1500.
without the site license fee, the cost per computer is $200.
1500/200 = 7.5
The site license fee will pay for itself if the company has more than 7 computers at the site.
7 computers costs $1400.
8 computers costs $1600.
$1500 is the break even point.
Question 237612: If greeting cards cost $2.50 for a box 12., $1.25 for a packet of three, or 50 cents each, then the greatest number of cards that can be purchased for $17.25 is
A. 73 B. 72 C. 77 D. 78 E. none of these
Found 2 solutions by nyc_function, College Student:
Answer by nyc_function(260)  (Show Source):
Answer by College Student(217) (Show Source):
You can put this solution on YOUR website!$2.50 x 6 = $15.00
$1.25 x 1 = $ 1.25
$0.50 x 2 = $ 1.00 ... total: $17.25
==========================================
Now...
6 x 12 cards = 72 cards
3 x 1 card = 3 cards
2 x 2 cards = 4 cards ... total: 79 cards
==========================================
Answer: E. none of the above
Question 237485: How would I write the equation for:
Bill has $11.55 in dimes and quarters. He has 8 times as many dimes as quarters. How many dimes does he have?
Answer by stanbon(26297) (Show Source):
You can put this solution on YOUR website!Bill has $11.55 in dimes and quarters. He has 8 times as many dimes as quarters. How many dimes does he have?
-----------------------------------
Value Equation: 10d + 25q = 1155 cents
Quantity Eq.:::: d = 8q
--------------------------------
Substitute for "d" and solve for "Q":
10(8q) + 25q = 1155
105q = 1155
q = 11 (# of quarters)
----------------
Then d = 8q = 8*11 = 88 (# of dimes)
======================================
Cheers,
Stan H.
Question 237437: There are two plans for joining the steve math club. In the first you pay $250 for an annual membership and $8 per meeting. In the second plan you just pay $13 per meeting. After how many meetings are the plans the same cost? Set up an algebraic equation and solve.
Answer by stanbon(26297) (Show Source):
You can put this solution on YOUR website!A team is to design a cover a box to hold a jigsaw puzzle. The design will use 525 square cm. The cardboard is precut to 29 cm x 33 cm. The depth of the box (x) can vary to fit the needs of your cover design. How deep should the box be in order to allow the area of 525 cm for your design?
------------------
Draw the picture of a 29 by 33 rectangle
Cut squares that are x by x out of each corner of the rectangle.
Fold the 4 sides of the rectable up to form the depth of the cover.
--------------------------
The base of the rectangle must be 525 cm^2.
-------------
The dimensions of the base are 29-2x by 33-2x
----------------------------------------------------
Solve (29-2x)(33-2x) = 525
957 -58x - 66x + 4x^2 = 525
4x^2 -124x + 432 = 0
Simplify:
x^2 - 31x + 108 = 0
(x-4)(x-27) = 0
Reasonable solution;
x = 4 cm (depth of the box cover)
=====================================
Cheers,
Stan H.
Question 237364: a manufacturer produces three products, A, B, and C. The products are made in two different departments. Department I and II.
Find the number of units of A, B, and C which could be made if department I has 75 hours available and department II has 65 hours available. It is necessary that all of the available hours are used.
Answer by ankor@dixie-net.com(6693) (Show Source):
Question 237015: An express train and a local train leave Grays Lake at 3:00 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local and arrivies 1 hour ahead of the local. Find the speed of each train algebraically and show work. I believe the speed of the trains is 40 and 20 miles per hour respectivelly.. I'm having trouble formulating the equations
Thanks
Found 2 solutions by solver91311, stanbon:
Answer by solver91311(5072) (Show Source):
Answer by stanbon(26297) (Show Source):
You can put this solution on YOUR website!An express train and a local train leave Grays Lake at 3:00 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local and arrivies 1 hour ahead of the local. Find the speed of each train algebraically and show work. I believe the speed of the trains is 40 and 20 miles per hour respectivelly.. I'm having trouble formulating the equations
-----------------------------------------------------
Express train DATA
rate = 2x mph ; distance = 50 miles ; time = d/r = 50/2x hrs
------------------------
Local train DATA:
rate = x mph ; distance = 50 miles ; time = 50/x hrs
------------------------
Equation:
local time - express time = 1 hr
50/x - 50/2x = 1
50/x - 25/x = 1
Multiply thru by "x":
50 - 25 = x
x = 25 mph (speed of the local train)
2x = 50 mph (speed of the express train)
========================================
Cheers,
Stan H.
Question 236826: our math class has collected $10.25 in nickels and dimes for a class breakfast. If there is a total of 15 coins how many coins of each kind are there?
Answer by checkley77(7072) (Show Source):
You can put this solution on YOUR website!IF ALL THE COINS ARE DIMES THEN .10*15=$1.50
YOU MUST HAVE MORE THEN 15 COINS (DIMES & NICKELS) TO EQUAL $10.25.
DID YOU MEAN 150 COINS?
Question 236525: repair cost exceeds 80% of a car's value, but the car sustains $12000.00 worth of damages. What is the car's value?
Answer by checkley77(7072) (Show Source):
Question 236481: Soybean meal is 16% protein; cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320lb mixture that is 10% protein?
Answer by checkley77(7072) (Show Source):
You can put this solution on YOUR website!.16s+.08(320-s)=.10*320
.16s+25.6-.08s=32
.08s=32-25.6
.08s=6.4
s=6.4/.08
s=80 pounds of soybeans are used.
320-80=240 pounds of cornmeal are used.
Proof:
.16*80+.08*240=.10*320
12.8+19.2=32
32=32
Question 236351: when four times the number is added to 7 times, the result is 55 what is the number
Answer by checkley77(7072) (Show Source):
Question 236352: when four times the number is added to 7 times, the result is 55 what is the number
Answer by JimboP1977(76) (Show Source):
Question 236322: how do you convert 4 1/8 pounds to ounces.
Answer by Theo(675) (Show Source):
You can put this solution on YOUR website!convert 4 + 1/8 pounds to ounces.
there are 16 ounces to the pound.
the ratio of ounces to pounds is 16/1.
multiply your pounds by 16/1 to get ounces.
4 + 1/8 pounds * 16 = 16*4 + 16*(1/8) = 64 + 2 = 66 ounces
to convert this back to pounds, divide by 16 to get:
66 / 16 = 4.125 pounds.
that's equal to 4 pounds plus .125 pounds.
multiply .125 * 8/8 to get 1/8.
your answer of 66 ounces is back to 4 and 1/8 pounds which confirms your answer is good.
your answer is 66 ounces.
Question 236093: Write the following as expressions (use 'x' for the unknown)-Half the product of five and a number
Also I was wondering if you could tell me if I did this one correctly-Half a number added to seven x/2+7
Answer by nyc_function(260) (Show Source):
You can put this solution on YOUR website!Write the following as expressions (use 'x' for the unknown)-Half the product of five and a number.
(1/2)(5) + x, which can also be written (5/2) + x.
Also, I was wondering if you could tell me if I did this one correctly-Half a number added to seven x/2+7.
Yes, this is right.
NOTE: (x/2) + 7 can also be written (1/2)(x) + 7.
Question 235974: A number doubled and increased by five is less than or equal to ten times the same number."
Answer by xmoo22xx(3) (Show Source):
Question 235911: Velocity of a bullet. A gun is fired straight upward. The bullet leaves the gun at 100 feet per second (time t 0). After 2 seconds the velocity of the bullet is 36 feet per second. There is a linear equation that gives the velocity v in terms of the time t. Find the equation and find the velocity after 3 seconds.
Answer by ankor@dixie-net.com(6693) (Show Source):
You can put this solution on YOUR website!Velocity of a bullet. A gun is fired straight upward. The bullet leaves the gun at 100 feet per second (time t 0). After 2 seconds the velocity of the bullet is 36 feet per second. There is a linear equation that gives the velocity v in terms of the time t. Find the equation and find the velocity after 3 seconds.
;
Assign the given values as follows
x1=0 y1=100
x2=2 y2=36
;
find the slope: m =  = -32 ft/sec
:
y - y1 = m(x-x1)
y - 100 = -32(x - 0)
y = -32x + 100;
V(t) = -32t + 100; the equation
:
after 3 sec, (t=3)
V = -32(3) + 100
V = -96 + 100
V = 4 ft/sec
Question 235909: Celsius to Fahrenheit. Water freezes at 0 degrees C or 32 degrees F and boils at 100 degrees C or 212 degrees F. There is a linear equation that expresses the number of degrees Fahrenheit (F) in terms of the number of degrees Celsius (C). Find the equation and find the Fahrenheit temperature when the Celsius temperature is 45 degrees.
Answer by rfer(2688) (Show Source):
Question 235318: Hello, I was helping my aunt with some of the problems she had with inequalities before i stumbled upon this. Its been years since I last took algebra, so please help me out with this.
1. In 2002, a one year old Acura was worth $18,249, with a depreciation of $1903 per year. A year old Subaru sedan was worth about $14,564 with a depreciation of $1225 per year.
(a) Let V be the value in $ of the Acura at t years since 2002, find an equation of a model to describe the data.
(b) Let V be the value in $ of the Subaru car at t years since 2002, find an equation of a model to describe the data.
(c) Use substitution or elimination to predict when the two cars will have the same value. What is that value.
Thanks.
Answer by scott8148(3385) (Show Source):
You can put this solution on YOUR website!(a) V = 18249 - 1903t
(b) V = 14564 - 1225t
(c) substituting ___ 18249 - 1903t = 14564 - 1225t
adding 1903t-14564 ___ 3685 = 678t
dividing by 678 ___ t = 3685 / 678 = 5.435 (approx) ___ about 5 1/2 yrs from 2002
substituting ___ V = 18249 - 1903 (3685 / 678) = 7906
Question 235258: You are ordering softballs for 2 leagues. Pony league uses a ball that costs $2.75, junior league uses a ball that costs $3.25. Total balls bought is 80 for $245. How many for each league were bought?
Answer by MathPro(14) (Show Source):
You can put this solution on YOUR website!Good evening,
Your problem:
You are ordering softballs for 2 leagues. Pony league uses a ball that costs $2.75, junior league uses a ball that costs $3.25. Total balls bought is 80 for $245. How many for each league were bought?
Call the number of balls that the pony league gets P and the number of balls that the junior league gets J. We are told that a total of 80 balls was bought. So this means that
(1) P+J=80
To digress, if you buy two items at $1.00 each the total cost is 2 x $1.00 = $2.00. Lets calculate the amount of money spent on each team. The price per ball is $2.75 for the ponies, so the total amount of money spent on this team is P x $2.75. The price per ball for the juniors is $3.25 so the total amount of money spent on this team is J x $3.25.
The total amount spent on both teams is the sum of the amount of money spent on each team:
Total amount= P x $2.75 + J x $3.25. We are given the total amount of money spent on both teams in the problem, $245, so we get
(2) 2.75P + 3.25J =245
Now we have two equations with two unknowns. Let’s solve these by substitution:
From equation (1) we get: P = 80 –J
Substitute for P in equation (2) : 2.75(80 –J) +J3.25 = 245
Simplify and solve: 220 +0.5J = 245, 0.5J = 25, J = 50
Substitute for J in equation (1) to get P + 50 = 80, P=30
Check the result by substituting for P and J in equation (2):
2.75(30) + 3.25(50)=245
The left-hand-side is equal to the right-hand-side, so the answer is correct.
Good Luck!
Selma from Rent-A-Whiz, an online tutoring and homework help website. Just visit www.rentawhiz.com to learn more. Currently, we are offering to solve one math problem for free. Just visit our website, select the homework tab, then click on the math problem submission link and quote coupon code 003 when you submit your problem.
Question 235217: A plane traveled 580 miles to Ankara and back. The trip there was with the wind. It took 5 hours. The trip back was into the wind. The trip took 10 hours. Find the speed of the plane in still air and the speed of the wind. i know this should be relatively easy, but for some reason I am having a brain block and can't seem to make any headway on this problem. Any help you can provide will be GREATLY appreciated!
Answer by scott8148(3385) (Show Source):
You can put this solution on YOUR website!rate = distance / time
p + w = 580 / 5 = 116
p - w = 580 / 10 = 58
adding the equations ___ 2p = 174 ___ p = 87
substituting ___ 87 + w = 116 ___ w = 29
Question 235209: the manager of a coffe shop has one type of coffee that sells for $6 per pound and another type that sells for $14 per pound. the manager wishes to mix 100 puonds of the $14 coffee to get a mixture that will sell for $8 per pound. how many pounds of the $6 coffee should he use?.
Answer by josmiceli(3013) (Show Source):
|
Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240
|
| |
