Justice earned $36 for mowing 3 lawns in his neighborhood. Write the equation that would represent this situation. Use x to represent the number of lawns mowed and y to represent the amount of money Justice earned.

Answers

Answer 1

Answer:

To solve this problem, you need to set up the equations.

First, choose variables.

Let x = number of hours mowing lawns

Let y = number of hours working clothing store

Money from both jobs must be at least $350

(350 or more)

12x + 10y ≥ 350

Solve for y in order to graph

y ≥ -12/10x +35

Minimum of 10 hours at the store

y ≥ 10

No more than 35 hours a week

x + y ≤ 35

Solve for y to graph

y ≤ -x + 35

Making the graph: Number x and the y-axis from 0 to 35

First equation: y ≥ -12/10x + 35

y-intercept is 35

slope: a solid line starting at 35 on the y-axis, go down 12, over 10

The shade above solid line

Second equation:

y≥ 10

Make a solid horizontal line at y=10

The shade above the line for greater than.

Third equation:

y ≤ -x +35

Starting at y-intercept (0,35)

Solid line, Count slope down 1 and over 1

Shade underline

The overlapping area on the graph will look like a narrow triangle: above the horizontal line, under the line from the third equation, and above the line of the first equation.

The shaded area of the graph represents all the possible combinations of hours for mowing lawns and working in the clothing store that meets the requirements based on the pay and time.

Step-by-step explanation:

hope this helps...


Related Questions

Larrie and Lester went shopping. They both went with equal amount of money. Larrie spent $120.00 and Lester spent $150.00. At the end of the shopping Lester had 2/3 of what Larrie had left. How much mone did Latrine have after shopping?

Answers

Answer:

$90.00

Step-by-step explanation:

Larrie and Lester went shopping. They both went with equal amount of money.

Let initial amount = x

Larrie = Lester = x

Larrie spent $120.00 and Lester spent $150.00.

Amount left (Larrie) = x - $120.00

Amount left (Lester) = x - $150.00

At the end of the shopping Lester had 2/3 of what Larrie had left.

Amount left (Lester) = 2 / 3 (Amount left (Larrie)

x - 150 = 2/3 (x - 120)

solving for x;

3 (x - 150) = 2 (x - 120)

3x - 450 = 2x - 240

3x - 2x = -240 + 450

x = 210

How much money did Latrine have after shopping?

Amount left (Larrie) = x - $120.00

Amount left (Larrie) = $210.00 - $120.00

Amount left (Larrie) = $90.00

Integers! Please help

Answers

Answer:

a). -23,   b). +250,    c). +8,800  d). -18,  e). -30

Step-by-step explanation:

Words like owe and below usually are negative integers.

Words like earn, altitude (above), are positive integers.

how do you convert percentages into decimals??

Answers

Answer:

Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal.

Example: 10% becomes 10/100 = 0.10.

Example: 67.5% becomes 67.5/100 = 0.675.

Step-by-step explanation:

Hopes this helps

Answer:

Step-by-step explanation:

Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal.

Example: 10% becomes 10/100 = 0.10.

Example: 67.5% becomes 67.5/100 = 0.675.

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what is the volume of the following rectangular prism?

Answers

Answer:

33 cubic unit

Step-by-step explanation:

Volume of the prism = base area * height

                                  = 9 * 3 2/3            {Change improper to proper fraction}

                                  [tex]= 9*\frac{11}{3}\\\\= 3* 11\\\\= 33 unit^{3}[/tex]

17 times the measure of its complimentary angle

Answers

1,530!

Ex.
A comp angle equals to 90 degrees. So you would multiply 17 and 90 and get 1,530.

Answer:

1241

Step-by-step explanation:

There were 203 tickets sold for a wrestling
match. For activity card holders the price was
$1.25 and for non-card holders the price was
$2.00. The total amount of money collected was
$310. How many of each type of tickets were
sold?

Answers

Answer:

the number of activity card holders is 128 and non-card holders is 75 respectively

Step-by-step explanation:

Let us assume the activity card holders be x

And, the non-card holders be y

Now as per the given situation

x + y = 203

x = 203 - y

1.25x + 2y = 310

Now put the value of x in the above equation

1.25(203 - y) + 2y = 310

253.75 - 1.25y + 2y = 310

0.75y = 56.25

y = 75

And,

x = 203 - 75

= 128

Hence, the number of activity card holders is 128 and non-card holders is 75 respectively

1. Simplify: -7a²b-2a2b
A. -9
B. -9a²b
C. -5a2b
D. -5

Answers

Answer:

D IS YOUR FINAL AWNSER BECAUSE U HAVE TO MULTIPLY THE NU<BER TO THE AWNSER

Step-by-step explanation:

Write an equation that represents the line.
Use exact numbers. Help quick plz

Answers

Answer:

y = 7/5x + 7

Step-by-step explanation:

Answer:

y−4= 7/5(x+2)

Step-by-step explanation:

Marcus ate one-half of a pizza with a radius
of 7 inches. If the pizza has 180 calories per 15
square inches, how many calories did he eat?

Answers

Answer:

700  calories

Step-by-step explanation:

You are saving for a bicycle that cost at least 300.00. Your parents give you 120 dollars torwards the bike. If you make 12 per hour how many hours will you have to work? Write and Solve the inequality

Answers

Answer:

15 hours

Step-by-step explanation:

120 + 12x = 300

subtract 120 from each side

12x = 180

divide by 12

x = 15

7th grade math again ​

Answers

George Washington

Step-by-step explanation:

so tea

Answer:

Step-by-step explanation:

Step 1: Find the circumfrence

Circumfrence= 2πr

Diameter= 8

Radius= 1/2 of diameter = 1/2x8= 4

R=4

2xπx4= 25.13--> about 25.

Step 2: Find diameter (already known)

D=8

Step 3: Write the ratio

25:8

882.114285714 rounded to the nearest thousandths

Answers

Answer:

882.114

Step-by-step explanation:

x + 2y = 17 x- y = 2

Answers

Answer:

(13, 11)

Step-by-step explanation:

After 3 rounds, 43 students are eliminated from the freeze dance game. There are 56 students remaining. Find the number of students who started the game.

Answers

probably like 99 students when it first started

How many hairs are there in Gretchen the gorillas right armpit?

Statistical or Not statistical

Answers

Answer:

The answer is Not Statistical.

Answer:

non-statistical

Step-by-step explanation:

because you are asking about one gorilla, if there were more, than that would be non statistical

The volume of the rectangular pyramid is 840 cubic feet.

Answers

Answer:

23232

Step-by-step explanation:

323233232232

HELP FAST ITS TO RPROVE MY TEACHER WRONG

Answers

Answer

use goo    gle

Step-by-step explanation:

70 isn’t my answer I just clicked it by accident but I need help on this

Answers

Answer:

C: 26

Step-by-step explanation:

The distance between A and B is 8 and the dstance between B and C is 5. Add 8+8+5+5=26

HELP ME NO ONE WANTS TO HELP MEEE

Answers

Answer:

a . y=x+1

b. y=−x+2

c. y=2x+7

Step-by-step explanation:

Use the given value to find the value of the other variable that is not provided

6e + 3f = 18

f=2

Answers

Answer:

e = 2

Step-by-step explanation:

Plug in 2 as "f", then solve for e:

6e + 3f = 18

6e + 3(2) = 18

6e + 6 = 18

6e = 12

e = 2

So, e = 2

SSS, ASA, SAS, or AAS?

Answers

Answer:

ASA

Step-by-step explanation:

Angle side angle test

angle BAC = angle RPQ

side AC = side PQ

angle BCA = angle RQP

AAS would be the answer since there are two angles and only one side

A rectangular window is 4x inches wide and 8x inches long. What is an expression for the distance from one corner of the window to the opposite
corner? Give your answer as a simplified radical.

Answers

Answer:

Step-by-step explanation:

Pythagorean theorem

a² + b² = c²          a = 4x     b=8x

c = √(a² + b²)

c =√((4x)² + (8x)²)

  = √(16x² + 64x²)

  = √80x²

  = √(16×5)x²

  = 4x√5

Which expression is equivalent to 1/4y−1/2?

Answers

Answer:

-0. 25

Step-by-step explanation:

I looked it up with a fraction calculator

Paul was thinking of a number. Paul adds 10, then divides by 2 to get an answer of -13. What was the original number?

Answers

Answer:

-36

Step-by-step explanation:

-13= n+10/2

-13×2=n+10

-26=n+10

-26-10=n

-36=n

\angle DAC=\angle BAD∠DAC=∠BADangle, D, A, C, equals, angle, B, A, D. What is the length of \overline{AC} AC start overline, A, C, end overline? Round to one decimal place. Stuck

Answers

Answer:

AC = 4.5 units

Step-by-step explanation:

Given question is incomplete without the figure; find the figure attached.

By applying angle bisector theorem in the given triangle ABC,

(Since, AD is the angle bisector of ∠BAC)

[tex]\frac{AC}{CD}=\frac{AB}{BD}[/tex]

[tex]\frac{AC}{2.5}= \frac{6.8}{3.8}[/tex]

AC = [tex]\frac{6.8\times 2.5}{3.8}[/tex]

AC = 4.47

AC ≈ 4.5 units

Length of side AC in the given triangle = 4.5 units.

Answer: 5.9

Step-by-step explanation: Khan Academy

if a cube has a side length of 6.5 inches, which would be the cube's volume?

Answers

Answer:

Step-by-step explanation:

19.5

You will get 15 point if you answer correctly


A book has a length of (b + 2) inches and a width of b inches. Write a simplified expression for the perimeter of the book.

Answers

Answer:

b+b+2+2=b+b+4

Step-by-step explanation:

how to solve for a cone with a 4.25 height and 3.25 radius

Answers

Answer:

Rounded Answer - 47.01

Exact Answer - 47.00935

Step-by-step explanation:

see attached image below!!!

PLZZ give me brainliest

1. If the area of a circle is 81pi square feet, find its circumference.
2.If Tim had lunch at $50.50 and he gave 20% tip, how much did he spend?

Help plzzz​

Answers

Answer:

the circumference is 18 pi feet.

Step-by-step explanation:

By definition, a parallelogram is a quadrilateral in which both pairs of opposite sides are parallel. Use this definition in your proof.

Answers

Answer:

Can u send the picture clearly

Answer:

The quadrilateral is parallel

Step-by-step explanation:

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