Maria is comparing the prices of two window cleaning companies. Company A charges $6 per window and an additional $12 as service charges. Company B charges $5 per window and an additional $15 as service charges. Part A: write equations to represent Company A's and Company B's total charges for cleaning number windows. Define the variable used in the equations.

Part B: which company would charge less for cleaning 8 windows? Justify your answer.

Part C: How much money is saved by using the services of Company B instead of Company A to clean 6 windows?

Answers

Answer 1

Answer: Part A
Company A: c=6w+12
Company B: c=5w+15
c=cost w=# of windows
Part B
Company A: c=6(8)+12 c=$60
Company B: c=5(8)+15
c=$55
So Company B is the cheaper option by 5 dollars.

Answer 2

Answer: Part A:
y is how much they charge in total
x is the amount of windows
Company A is (6*x)+ 12= y
Company B is (5*x)+15=y

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How do you solve log x = 4?

Answers

x = 10,000

log x = 4

Note that the natural base is 10. Therefore,

log₁₀x = 4

10⁴ = x

x = 10×10×10×10

x = 10000

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In order to solve this, We will want to change it into an exponential form. Assuming that since we do not have a number beside log, It will be log base 10.

10^4=x

We can now solve for x.

This means that x= 10,000

Ronnie wants to buy a computer table that measures 10 feet by 17 feet. The of the table is $16 per square feet. How much will it cost Ronnie to buy the computer table for his study room?

Answers

It will cost her 1,710 dollars because 10 times 17 is 170 and 170 times 16 is $1,710
and i hope this answer helps :) :D :)

Choose the correct product of (2x − 4)2.4x2 − 16
4x2 − 16x + 16
4x2 + 16
4x2 + 16x + 16

Answers

(2x – 4)(2x –4)

For binomials, follow the rule FOIL (first, outside, inside, last.)

4x^2 + -8x + - 8x + 16

4x^2 – 16x + 16

Answer:

4x^2 – 16x + 16

Step-by-step explanation:

This question has two parts. First, answer Part A. Then, answer Part B.Part A
Fill in the blank question.
REASONING The figure shows a straight portion of the course for a city marathon. The water station W is located at the midpoint of AB .

a. What is the length of the course from point A to point W?

Part B
Select the correct choices to complete the sentence.
b. Write a paragraph proof for your answer to part a.

Answers

Final answer:

The length of the course from point A to point W can be found using the midpoint formula. To write a paragraph proof, mention the given information and use the midpoint formula to calculate the length.

Explanation:

Part A:

To find the length of the course from point A to point W, we need to determine the distance between these two points. Since W is the midpoint of segment AB, we can use the midpoint formula to find the coordinates of W. If the coordinates of A are (x1, y1) and the coordinates of B are (x2, y2), the coordinates of W would be the averages of x1 and x2, and y1 and y2.

Part B:

To write a paragraph proof for Part A, we can state the given information and use the midpoint formula to show how we calculated the length of the course from point A to point W. We can mention the formula for the midpoint and use the given information to substitute the values, then simplify the expression to find the length.

Learn more about Midpoint formula here:

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HELP!!!!!!! Terrence was filling the new fish aquariums where he works. He was able to fill 1 1/3 aquariums in 2 1/2 hours. At this rate, how long will it take him to fill 4 aquariums?

Answers

Answer:

$7(1)/(2)$ hours will it take to fill 4 aquarium

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity 1, such as 3 feet per second or 6 miles per hour, they are called unit rate

As per the statement: Terrence was filling the new fish aquariums where he works. He was able to fill $1(1)/(3)=(4)/(3)$ aquariums in $2(1)/(2) = (5)/(2)$ hours.