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lutik1710 [3]
3 years ago
6

Polly is trying to decide which company she should use to paint her house. Practically Perfect Painting charges a one-time fee o

f $125 to do the prep work and $25 per hour for the painting. She has $300 to spend. For how many hours can she hire this company?Polly is trying to decide which company she should use to paint her house. Practically Perfect Painting charges a one-time fee of $125 to do the prep work and $25 per hour for the painting. She has $300 to spend. For how many hours can she hire this company?
Mathematics
1 answer:
Keith_Richards [23]3 years ago
5 0

Answer:

5 hours

Step-by-step explanation:

First, create 2 expressions that represent the cost with each company, where x is the number of hours.

Practical Perfect Painting will be represented by 25x + 125, since it is 25 dollars per hour, plus the prep work cost.

Excellent Exteriors will be represented by 20x + 150.

Then, set these equal to each other and solve for x. This x value will be the number of hours that make the cost the same.

25x + 125 = 20x + 150

5x + 125 = 150

5x = 25

x = 5

So, it will take 5 hours for the cost of the companies to be the same

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Find the values of X and Y using the PARALLELOGRAM.
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Answer:

x = 11

y = 3

Step-by-step explanation:

In a parallelogram opposite sides are equal.

8x = 88

x = 88/8

x = 11

4y - 7 = y + 2

4y      = y + 2 + 7

    4y = y + 9

4y - y = 9

       3y =  9

         y = 9/3

        y = 3

6 0
3 years ago
Gary earns $12 an hour plus $16 an hour for every hour of overtime. Overtime hours are any hours more than 30 hours for the week
hoa [83]

Part A.

Amount of money earned = Regular rate per hour * Number of working hours

M = 12 x

 

Part B.

Amount of wages earned = Regular rate per hour * Maximum number of regular working hours + Overtime rate per hour * Excess working hours

T = 12 * 30 + 16 * y

T = 360 + 16 y

or

T = 16 y + 360

 

Part C.

Given T = 408, find y:

408 = 16 y + 360

y = 3 hrs

Therefore the total hours Gary worked that week is,

<span>x + y = 30 + 3 = 33 hrs        </span>

<span>(x = 30 since that is the maximum limit for regular working hours)</span>

7 0
3 years ago
What is the sum of 4.9x10^2 and 6.8x10^3?
motikmotik

Answer:

7,290

Step-by-step explanation:

5 0
4 years ago
I need it by tmr<br> ill give brainliest thx
Zina [86]

Answer:

21. B. Graph Z

23. A. neither function nor relation

24. D. relation only

Step-by-step explanation:

21. Graph Z is the only graph which does not pass the vertical line test

23. The graph does not pass the vertical line test, AND it is not merely given x and y points like a relation. It is graphed as a squiggly line with no given x and y points, therefore you could not make a relation from it either.

24. There is an x value of -4 twice, meaning the set does not pass the vertical line test, HOWEVER, it is a given collection of x and y values, making it a relation.

I would appreciate brainliest, have an amazing day

8 0
3 years ago
Choose the expression that represents a cubic expression.
Anna007 [38]

Answer:

10x³ - 6x² - 9x + 12 is a cubic expression ⇒ 2nd

6x + 6 is a linear expression ⇒ 1st

5x² + 9x - 1 is a quadratic expression ⇒ 2nd

Quadratic expression ⇒ 1st

Step-by-step explanation:

* Lets explain the degree of any expression

- The degree of any expression is the greatest power of the variable

- Ex:

# 3x - 3 is a first degree expression

# x² - 3x + 2  is a second degree expression

# 5x³ - 2x² + 5x - 2 is a third degree expression

- The first degree expression is called linear expression

- The second degree expression is called quadratic expression

- The third degree expression is called cubic expression

* Lets solve the problem

∵ The cubic expression is the expression with greatest power of 3

∴ 10x³ - 6x² - 9x + 12 is the cubic expression

∵ The linear expression is the expression with greatest power of 1

∴ 6x + 6 is a linear expression

∵ The quadratic expression is the expression with greatest power of 2

∴ 5x² + 9x - 1 is a quadratic expression

∵ The expression is -2x² + 11

∵ The greatest power of x is 2

∴ -2x² + 11 is a quadratic expression

3 0
3 years ago
Read 2 more answers
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