Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)

Question 614692: Mel paid $84.00 including 12% tax, for a camera. How much was the camera cost before taxes?

Answer by rfer(10943)

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84/1.12=$75

Question 614494: When graphing y < -6 should the region below the line y = -6 be should the region above the line y = -6 be shaded?
Answer by solver91311(13359)

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Choose any point you like in the coordinate plane that is NOT on the boundary line. Substitute the coordinates of that point into the inequality. If the result is a true statement, shade in the side of the line that CONTAINS the point you selected. If the result is a false statement, shade in the side of the line that DOES NOT CONTAIN the selected point.

Hint: If the boundary line does not pass through the origin, then the origin is an excellent choice for a test point since that generally makes the arithmetic so much easier.

John

My calculator said it, I believe it, that settles it

The Out Campaign: Scarlet Letter of Atheism

Question 614492: find the numbers whose sum is 15, if twice the first number minus the second number equals 6.
I have:
2x-y=6 anything close?
Answer by richwmiller(8279)

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good start
but you left out the rest
x+y=15
2x-y=6
now you have two equations with two unknowns.
solve both for y
y=15-x
2x-6=y
15-x=2x-6
21=3x
7=x
y=8
check
2x-y=6
14-8=6
ok

Question 614387: A concert hall divided into two sections has its seating arranged in rows. The inner section, called 'Dress Circle" has seats arranged in rows of 40 and tickets in this section cost $150 each. The outer section. called "Bleachers" has seats arranged in rows of 70 and tickets cost $60. There are 10 more rows in the 'Dress Circle' than the 'Bleachers' The seating capacity at the concert hall is 7000
A) Develop equations to represent the seating capacity given for the concert hall.
b)Using both the Elimination and Substitution method of Simultaneous Equations, give an algebraic solution the the number of seating in the bleachers and dress circle of the Concert Hall
d) If every ticket is sold to a concert at this hall what will the total receipts for the concert amount to?
Thank You :3

Answer by scott8148(6462)

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A) d = rows in "Dress Circle" ; b = rows in bleachers
___ d = b + 10
___ 40d + 70b = 7000 ___4d + 7b = 700

b) substituting ___ 4(b + 10) + 7b = 700 ___ 11b = 660 ___ b = 60
___ substituting ___ d = (60) + 10 = 70

d seats = 40 * 70 = 2800
b seats = 60 * 70 = 4200

d) total receipts = 2800($150) + 4200($60)

Question 614318: Find two numbers with a sum of 20 and a difference of 14.

Answer by rfer(10943)

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x+x-14=20
2x=34
x=17
x-14=3

Question 614214: a rectangle is 2x feet long and x+5 feet widw. the area is 600 square feet. what are the dimensions of the rectangle
Answer by scott8148(6462)

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2x(x + 5) = 600

2x^2 + 10x = 600 ___ x^2 + 5x = 300 ___ x^2 + 5x - 300 = 0

factoring ___ (x + 20)(x - 15) = 0

x + 20 = 0 ___ x = -20 ___ negative value not realistic

x - 15 = 0 ___ x = 15

Question 613980: the difference of squares of two numbers is 88.If the larger number is 5 less than twicw the smaller one ,then find the two nubers?

Answer by mathslover(135)

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Let the smaller number be x
Now the larger number = 5 less thann 2 times the smaller number
= 2x -5
Difference of the sqaures of the 2 numbers is 88
%282x-5%29%5E2+-+x%5E2

=88
=>

=88
=>

=0 Grouping the common terms together
=> x=+%28-%28-20%29%2B-+sqrt%28400+-+4%2A3%2A+-63%29%29%2F%282%2A3%29

and

and

Therefore the smaller number is 9 and the bigger number is 2*9-5= 13
Ignoring the negative -7/3 as 2 times this number - 5 that is (-14/3 -5 =-29/5),gives a smaller number and not a larger number as in the problem statement

Question 613864: How to solve:
In 2000 the cost of a compact car averaged $12,500. In 2003, the cost of a compact car averaged $14,450. Assume that the relationship between time and cost is linear.
a) Develop a formula for predicting the average cost of a compact car in the future, in the for of C(x)= mx + b, where x represent the number of years after 2000.
Answer by josmiceli(7367)

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+C%28x%29+=+m%2Ax+%2B+b+

given:

+C%280%29+=+12500%0D%0A%7B%7B%7B+C%280%29+=+m%2A0+%2B+b+

and

-----------
+C%28x%29+=+650x+%2B+12500+

Here's a plot where +C%28x%29+

is in thousands of dollars
+graph%28+400%2C+400%2C+-1%2C+10%2C+-5%2C+20%2C+.65x+%2B+12.5+%29+

Question 613842: Please help me solve this word problem:
How many gallons of a 12% indicator solution must be mixed with a 20% indicator solution to get 10 gal of a 14% solution?
I do not even know where to begin working on this problem! Any help is greatly appreciated, thank you!
Answer by scott8148(6462)

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(12%)x + (20%)(10 - x) = (14%)(10)

Question 613804: Please help me solve this problem:
China earned a total of 100 medals at the 2008 Beijing Summer Olympics. The number of gold medals earned was 23 more than the number of bronze medals. The number of bronze medals earned was 7 more than the number of silver medals. How many of each kind of medal did China earn?
So far I set up my equation as 100= x+23+x+7 (x counting as the medals). I'm very confused from this point. Thanks!
Answer by scott8148(6462)

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"total of 100 medals" ___ g + s + b = 100

"The number of gold medals earned was 23 more than the number of bronze medals" ___ g = b + 23

"The number of bronze medals earned was 7 more than the number of silver medals" ___ b = s + 7 ___ s = b - 7

substituting ___ (b + 23) + (b - 7) + b = 100 ___ 3b + 16 = 100

solve for b; then substitute back to find g and s

Question 613584: 2/3 of a number is 20 less than the original number.find the number
Answer by radh(63)

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It would be impossible to know without knowing either "a number" or the original number.

Question 612917: While a vacation, Lisa Carr traveled a total distance of 425 miles. Her trip took 8.5 hours. What was her average speed?
Answer by Alan3354(23885)

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While a vacation, Lisa Carr traveled a total distance of 425 miles. Her trip took 8.5 hours. What was her average speed?
-----------
d = r*t
r = d/t

Question 612881: a car is traveling with negative velocity and positive acceleration, is the car speeding up or slowing down? explain
Answer by richwmiller(8279)

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negative velocity positive acceleration could mean going faster in reverse.

Question 612803: 8 boys and 12 girls can finish the work in 10 days, while 6 boys and 8 girls can finish it in 14 days. Find the time taken by 1 boy alone and 1 girl alone to finish the work.
Answer by ewatrrr(7340)

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Hi, 

8 boys and 12 girls can finish the work in 10 days, while 6 boys and 8 girls can finish it in 14 days

Note: work PER Day KEY

Let x and y represent work done per day by boy and girl respectively:

 8x + 12y = 1/10     

 6x  + 8y = 1/14    |multiplying thru by -3/2 to  eliminate the y variable



 8x + 12y = 1/10     

-9x  -12y = -3/28    |result of multiplying thru by -3/2 to  eliminate the y variable

     x = 1/140  and y = 1/280, work PER Day by each

time taken by 1 boy alonedays and 1 girl alonedays to finish the work.

Question 612835: In 1993, the life expency of males in a certain country was 62.7 years. In 2000 it was 65.5 years. what will the life expency be in 2009?
Answer by stanbon(50471)   (Show Source):
You can put this solution on YOUR website!
In 1993, the life expectancy of males in a certain country was 62.7 years. In 2000 it was 65.5 years. what will the life expectanncy be in 2009?
-----
You have 2 points:(0,62.7) and (7,65.5) where the x-value is
# of years after 1993.
-----
slope = (65.5-63.7)/7 = 0.2571
-------
Equation:
life exect = 0.2571(yrs after 1993) + 62.7
-----------------------
le = 0.2571(16) + 62.7
le = 66.81 yrs
====================
cheers,
Stan H.

Question 612823: . Select the set of equations that represents the following situation: Mary invested one amount at 5% simple interest, and a second amount at 4% interest, earning $21.32 in one year. If she had switched the amounts, she would have earned $25.84. What were the two amounts?
0.05x + 0.04y = 25.84; 0.05x + 0.04y = 21.32
5x + 4y = 21.32; 5y + 4x = 25.84
0.05x + 0.04y = 21.32; 0.05y + 0.04x = 25.84
5x + 4y = 25.84; 5x + 4y = 21.32
Answer by Theo(3065)   (Show Source):
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your original equation is .05x + .04y = 21.32
your switched equation is .05y + .04x = 25.84
you can change your switched equation around to read .04x + .05y = 25.84 and it will mean the same thing.
you have 2 equations to solve simultaneously.
they are:
.05x + .04y = 21.32
.04x + .05y = 25.84
multiply the first equation by 4 and multiply the second equation by 5 to get:
.2x + .16y = 85.28
.2x + .25y = 129.2
subtract the first equation from he second equation to get:
.09y = 43.92
divide both sides of this equation by .09 to get:
y = 488
substitute for y in either equation to get:
x = 36
you have x = 36 and y = 488
from your first original equation, you get:
.05(36) + .04(488) = 1.8 + 19.52 = 21.32
from your second original equation, you get:
.04(36) + .05(488) = 1.44 + 24.4 = 25.84
it checks out so your answer is:
x = 36
y = 488

Question 612808: a two digit number is 5 times the sum of its digits and is also equal to 5 more than the product of its digit find the number

Answer by Theo(3065)   (Show Source):
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the number, as far as i can tell, is 50.
the first digit is 5.
the second digit is 0.
it can't be 05 because that's a one digit number of 5.
when the most significant digit is 5 and the least significant digit is 0, you get:
5+0=5
5*0+5=5
the sum of the digits is equal to the product of the digits plus 5.
the equation is generated and solved for as follows:
let x equal 1 of the digits and y equal the other digit.
you get:
xy+5=x+y
subtract x and subtract 5 from both sides of this equation to get:
xy-x=y-5
factor out the x on the left side of the equation to get:
x(y-1) = (y-5)
divide both sides of the equation by (y-1) to get:
x = (y-5)/(y-1)
since x or y have to be single digits from 0 to 9, it's then a matter of substituting a single digit from 0 to 9 for y and seeing what the value of x becomes.
you get:

y x 0 5 1 undefined 2 -3 3 -1 4 -.3333... 5 0 6 .2 7 .3333... 8 .42857... 9 .5

you can see that the only digits that come out to be intergers in the interval of from 0 to 9 are when x = 0 and y = 5 or when x = 5 and y = 0.
if x is the most significant digit, then the solution is x = 5 and y = 0.
if x is the least significant digit, then the solution is x = 0 and y = 5.

Question 612620: the sum of a 2 digit number and number formed by reversing the digits is 88 if the digits differ by 2. find the no.

Found 2 solutions by MathTherapy, richard1234:
Answer by MathTherapy(647)   (Show Source):
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the sum of a 2 digit number and number formed by reversing the digits is 88 if the digits differ by 2. find the no.

Let the tens digit be T, and the units digit, U
Then: 10T + U + 10U + T = 88

11T + 11U = 88
11(T + U) = 11(8)
T + U = 8
T = 8 - U
|T – U| = 2, since it’s not known which digit is larger

|8 – U – U| = 2 ----- Substituting 8 – U for T

|8 – 2U| = 2

8 – 2U = 2 OR 8 – 2U = - 2

– 2U = 2 – 8 OR – 2U = - 10

- 2U = - 6 OR U = - 10/- 2

U = OR U =

U, or units digit = 3 or 5

This means that the original number could be either or

Send comments and “thank-yous” to “D” at MathMadEzy@aol.com

Answer by richard1234(5244)   (Show Source):
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Two ways to do it:

Let the number be 10a+b, where a and b are digits. The "reversed" number is 10b+a, and

Therefore 17,26,35,44,53,62,71 are the only possible integers. 35 and 53 are the only ones that differ by two, so the answer is {35,53}.

The other way to do it is let the number be 10a + (a+2); switching the digits gives 10(a+2) + a. Do the same method as shown above.

Question 612605: one number is 2 more than the another number.their sum is 64.what is the number

Answer by mananth(11019)   (Show Source):
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let one number be x
the other number be y
x=y+2
x-y=2---------(1)
x+y=64---------(2)
add equation (1) & (2)
2x= 66
/2
x=33
y =33-2
y=31
the numbers are 31 & 33

Question 612296: To watch the summer sport competition, a student ticket cost T dollars. An adult ticket cost $5 more than a student's ticket.
Write down in term of t
(a) the cost of an adult ticket
(b)the total cost ticket, in the simplest form, for a family of two adult and three students.
Answer by josmiceli(7367)   (Show Source):
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A student's ticket costs dollars
(a)
An adults ticket costs dollars
(b)
2 adult tickets cost
3 student tickets cost
Cost for family is

dollars

Question 611940: Suppose a market research company finds that at a price of p = $50, they would sell x = 60 tiles each month. If they lower the price to p = $45, then more people would purchase the tile, and they can expect to sell x = 75 tiles in a month's time. Find the equation of the line using p = mx+b Please help! Thank you.
Answer by stanbon(50471)   (Show Source):
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Suppose a market research company finds that at a price of p = $50, they would sell x = 60 tiles each month. If they lower the price to p = $45, then more people would purchase the tile, and they can expect to sell x = 75 tiles in a month's time. Find the equation of the line using p = mx+b
------------------
You have 2 points: (60,50) and (75,45)
---
Slope = (45-50)/(75-60) = -5/15 = -1/3
-------
p = mx + b
Solve for "b":
50 = (-1/3)60 + b
30 = b
-----
Equation:
p = (-1/3)x + 30
==========================
Cheers,
Stan H.
======================

Question 611370: It takes Edward 8 minutes to chop a pound of garlic and it takes Bella 5 minutes to do the same.how long would it take them to chop one pound of garlic if they were to work together?
Answer by josmiceli(7367)   (Show Source):
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Add their rates of working to get
their rate working together
Edwin's rate: ( 1 pound chopped ) / ( 8 min )
Bella's rate: ( 1 pound chopped ) / (5 min )
Let = the time in minutes

Multiply both sides by

It will take them 3 hrs and 4.6 minutes working together

Question 611205: Translate the problem situation to a system of equations. Do not solve. The difference between two numbers is 1. Three times the smaller number plus the larger number is 29. What are the numbers?
Answer by SwiftAlbatross(12)   (Show Source):
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Let x = larger number
Let y = smaller number
x - y = 1
3y + x = 29
To solve:
x - y = 1
x = y + 1
Substitute:
3y + x = 29
3y + y + 1 = 29
4y + 1 = 29
4y = 28
y = 7
x = 8

Question 611192: having trouble setting this up. The volume of a 5in tall cone varies as the square of the radius the volume is 14.1in^3 when the radius is 1.5in. find the volume when the radius is 3in.
Answer by scott8148(6462)   (Show Source):
You can put this solution on YOUR website!
"The volume of a 5in tall cone varies as the square of the radius"
___ the radius is multiplied by 2, so the volume is multiplied by 2^2

Question 611248: A petroleum company has two different sources of crude oil. The first source provides crude oil that is 25% hydrocarbons, and the second one provides crude oil that is 75% hydrocarbons. In order to obtain 50 gallons of crude oil that is 55% hydrocarbons, how many gallons of crude oil must be used from each of the two sources?

Answer by stanbon(50471)   (Show Source):
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The first source provides crude oil that is 25% hydrocarbons, and the second one provides crude oil that is 75% hydrocarbons. In order to obtain 50 gallons of crude oil that is 55% hydrocarbons, how many gallons of crude oil must be used from each of the two sources?
-------
Equation:
hydro + hydro = hydro
0.25x + 0.75(50-x) = 0.55*50
-----
25x + 75*50 - 75*x = 55*50
-50x = -20*50
x = 20 gallons (amt. of 25% oil needed)
50-x = 30 gallons (amt. of 75% oil needed)
============================
Cheers,
Stan H.
=================

Question 611015: Sue earned $2 for each CD she sells and $2.50 for each DVD she sells. Sue earned $950 last week selling CDs and DVDs. Write an equation to represent the number of CDs (c) and DVDs (d) Sue sold last week given that she earned $950.
Found 2 solutions by ashipm01, stanbon:
Answer by ashipm01(14)   (Show Source):
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There is not much work to show here, but what needs to be done is to find the terms in the description and then use them to express what was being stated.
The three terms in this description are the number CDs sold, the number of DVDs sold, and the earnings amount. So if you represent the number of CDs sold by the variable c and the number of DVDs sold by the variable d, then you have something similar to the following:

This can also be represented as a function of two variables by gathering all terms on one side of the equation as such:

That last step is not completely necessary as the problem description is simply asking for an equation, which the first form is.
The number of CDs sold (c) is multiplied by 2 because that is how much each CD is sold for. Likewise, the number of DVDs (d) sold is multiplied by 2.5 because that is how much each of the DVDs go for. And the sum of these two values results in the total earnings.

Answer by stanbon(50471)   (Show Source):
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Sue earned $2 for each CD she sells and $2.50 for each DVD she sells. Sue earned $950 last week selling CDs and DVDs. Write an equation to represent the number of CDs (c) and DVDs (d) Sue sold last week given that she earned $950.
----------------------------
Equation:
value + value = value
2C + 2.5D = 950
-----
Cheers,
Stan H.
==============

Question 610932: sue and gwen each have large collections of CDs. sue has twice as many CDs as gwen. together the girls have no more than 96 CDs. which equation could he used to find the number of CDs, x, that gwen has?
Answer by solver91311(13359)   (Show Source):
You can put this solution on YOUR website!

The way you worded your question implies a multiple choice question. But you didn't include the multiple choice answers. HELLO!!!! is there anyone in there? If you are there, please wake up.

John

My calculator said it, I believe it, that settles it

Question 610673: Please help!
The sum of three numbers is 29. The greatest number is four times the smallest number. the remaining number is 1 more than twice the smallest number. Find the three numbers.
Answer by ankor@dixie-net.com(13506)   (Show Source):
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Three numbers: a, b, c; (a is the largest)
:
Write an equation for each statement
:
The sum of three numbers is 29.
a + b + c = 29
:
The greatest number is four times the smallest number.
a = 4c
:
the remaining number is 1 more than twice the smallest number.
b = 2c + 1
:
Find the three numbers.
using the 1st equation, replace a with 4c, replace b with (2c+1)
4c + (2c+1) + c = 29
7c + 1 = 29
7c = 29-1
c = 28/7
c = 4
then
a = 4(4) = 16
b = 2(4) + 1 = 9
:
16, 9, 4 are the three numbers
:
:
You can check the solutions by finding their sum

Question 610457: soybean meal is 18% protein; cornmeal is 9%. How many pounds of each should be mixed together in order to get 360-lb mixture that is 14% protein?
Answer by scott8148(6462)   (Show Source):
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(18%)s + (9%)c = (14%)360

s + c = 360

Question 610257: a recipe calls for 2 cups of sugar. you find that you only have 1/3 cups of sugar left. what fraction of the recipe can you make? answer must be a fraction written in simplest terms. If answer is a whole number then give answer as a fraction with 1 in the denominator.
Answer by rfer(10943)   (Show Source):
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=1/6

Question 610261: 1/3 x ?/? = 1/5
Answer by rfer(10943)   (Show Source):
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(1/5)/(1/3)=
1/5*3/1=3/5

Question 610260: find the missing fraction in simplest terms 3/4 x ?/? = 21/32
Answer by jim_thompson5910(23765)   (Show Source):
You can put this solution on YOUR website!
(3x)/(4y) = 21/32

3x = 21 ----> x = 7

4y = 32 ----> y = 8

So the missing fraction is 7/8
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Question 610248: Jerome started with 12/14 cups of flour. If he gave 2/6 to Jane and Nick gave him 6/10 then how many cups of flour did Jerome have in the end? Fraction must be in Simplest form
I figured it to be 76/60 or 1 4/15 is this right?
Found 2 solutions by richwmiller, jim_thompson5910:
Answer by richwmiller(8279)   (Show Source):
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The question is not clear. Did he give 2/6(1/3) of a cup or 2/6 of what he had.
The 6/10 is even more vague. Why isn't 2/6 expressed in reduced form as 1/3 and the same with 6/10 for 3/5 and 12/14 as 6/7.
Assuming 3/5 cup and 1/3 cup
6/7-1/3+3/5
90/105-35/105+63/105
118/105
1 13/105

Answer by jim_thompson5910(23765)   (Show Source):
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12/14 = 6/7

2/6 = 1/3

-----------------

So subtract 1/3 from 6/7:

6/7 - 1/3 = 18/21 - 7/21 = (18-7)/21 = 11/21

then add on 6/10 = 3/5

11/21 + 3/5 = 55/105 + 63/105 = (55+63)/105 = 118/105

So the answer is 118/105 (as an improper fraction) or as a mixed number
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Question 610224: I can't figure this problem out! "Laura started with 7/10 feet of rope. If she received 9/12 from Jane and gave 5/7 to jerome, then how many feet of rope did laura have in the end?" The answer must be be a fraction in simplest terms
I keep getting 0.7357 as a decimal??? Is that right-what is that in a fraction?
Thanks for any help
Found 2 solutions by scott8148, jim_thompson5910:
Answer by scott8148(6462)   (Show Source):
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the LCD for 10, 4, and 7 is 2*5*2*7

98/140 + 105/140 - 100/140

your decimal is a correct approximation

Answer by jim_thompson5910(23765)   (Show Source):
You can put this solution on YOUR website!
Add the first two fractions:
7/10 + 9/12

(7/10)*(6/6) + 9/12

(7*6)/(10*6) + 9/12

42/60 + 9/12

42/60 + (9/12)*(5/5)

42/60 + (9*5)/(12*5)

42/60 + 45/60

(42+45)/60

87/60

So after receiving 9/12 ft of rope from Jane, she now has 87/60 ft of rope

Now subtract off 5/7 (since she's giving this amount to Jerome)

87/60 - 5/7

(87/60)*(7/7) - 5/7

(87*7)/(60*7) - 5/7

609/420 - 5/7

609/420 - (5/7)*(60/60)

609/420 - (5*60)/(7*60)

609/420 - 300/420

(609-300)/420

309/420

(3*103)/(3*140)

103/140

So she has 103/140 ft of rope in the end.

Note: 103/140 = 0.7357, which helps confirm that you were on the right track (you just needed to convert to fraction form)

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Question 610218: I have a homework problem that I can't figure out! Any help with it would be great. The question is "A company sold 75 units of product last month. This month they sold 101 units. What was the percent increase of product sold, relative to the original amount?"
Answer by jim_thompson5910(23765)   (Show Source):
You can put this solution on YOUR website!
Percent Increase = [(New - Old)/Old] * 100

Percent Increase = [(101-75)/75] * 100

Percent Increase = [26/75] * 100

Percent Increase = 0.346666666666667 * 100

Percent Increase = 34.6666666666667%
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Question 610127: Two chemicals X and Y are stored in a freezer in a laboratory at -6 degrees celsius
a. In an experiment chemical X is heated until its temperature rises by 15 degrees celsius. Find the new temperature of chemical X.
b. In another experiment chemical Y is cooled until its temperature fall by 12 degrees celsius. Find the new temperature of chemical Y.
c. Calculate the difference between the final temperature of chemical X and Y.
Please explain
Answer by ankor@dixie-net.com(13506)   (Show Source):
You can put this solution on YOUR website!
Two chemicals X and Y are stored in a freezer in a laboratory at -6 degrees Celsius
:
a. In an experiment chemical X is heated until its temperature rises by 15 degrees Celsius.
Find the new temperature of chemical X.
-6 + 15 = +9
:
b. In another experiment chemical Y is cooled until its temperature fall by 12 degrees Celsius.
Find the new temperature of chemical Y.
-6 - 12 = -18
:
c. Calculate the difference between the final temperature of chemical X and Y.
Please explain
+9 - (-18) = 9 + 18 = 27 degrees difference

Question 610110: find two numbers such that the sum of twice the first and the second is 92, and four times the first exceeds seven times the second by 2.
Answer by flame8855(413)   (Show Source):
You can put this solution on YOUR website!
2x+3y=92
4x=7y+2
-4x-6y=-184
4x-7y=2
-13y=-182
y = 14
x= 25

Question 610126: Two numbers are such that ratio between 3:5 . if each is increased by 10,the ratio between the new numbers so formed is 5:7 .find the original numbers?
Answer by flame8855(413)   (Show Source):
You can put this solution on YOUR website!
x/y= 3/5
x+10/y+10 =5/7
x=15
y=25

Question 610026: the number of minutes, m, Takashi takes to run five laps around the track varies inversely as his average speed,s, in meters per minute. If k is the constant of variation, what equation represents this situation
A. m = s + k
B. m = ks
C. m = S/k
D. m = k/s
Answer by stanbon(50471)   (Show Source):
You can put this solution on YOUR website!
the number of minutes, m, Takashi takes to run five laps around the track varies inversely as his average speed,s, in meters per minute. If k is the constant of variation, what equation represents this situation
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m = k/s
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Cheers,
Stan H.
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A. m = s + k
B. m = ks
C. m = S/k
D. m = k/s

Question 609813: to find the cost y of manufacturing x pens, a company uses the equation y=5000+2x. identify and interpret the y-intercept.
Answer by lynnlo(331)   (Show Source):
You can put this solution on YOUR website!
y intercept (0,5000)

Question 609884: I'm working on this section in my Algebra book called Elimination by Addition Method/Systems using two linear equations, and I'm stuck on this word problem.
Can somebody please help me and explain how to set it up and solve it?
Many thanks!
Suppose that we have a rectangular book cover. If the width is increased by 2 centimeters, and the length is decreased by 1 centimeter, then the area is increased by 28 square centimeters. However, if the width is decreased by 1 centimeter and the length is increased by 2 centimeters, then the area is increased by 10 square centimeters. Find the dimensions of the book cover.
This is what I tried doing
(W+2)(L-1)= 28
(W-1)(L+2)=10
I know I'm doing something wrong and I cant figure out another way to set up the equations.
Answer by stanbon(50471)   (Show Source):
You can put this solution on YOUR website!
Suppose that we have a rectangular book cover. If the width is increased by 2 centimeters, and the length is decreased by 1 centimeter, then the area is increased by 28 square centimeters. However, if the width is decreased by 1 centimeter and the length is INCREASED by 2 centimeters, then the area is increased by 10 square centimeters. Find the dimensions of the book cover.
(W+2)(L-1)= 28
(W-1)(L+2)= 38
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Note that the area was INCREASED by 10 cm.
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Cheers,
Stan H.