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 a certain number of windows. Define the variable used in the equations. (4 points)

Part B: Which company would charge less for cleaning 8 windows? Justify your answer. (3 points)

Part C: How much money is saved by using the services of Company B instead of Company A to clean 6 windows? (3 points)

Answers

Answer 1

Answer: Part A
y=6x+12
y=5x+15
x is the amount of windows, y is the total amount of money
Part B
y=6(8)+12 =60
y=5(8)+15 =52
Company B
Part C
y=6(6)+12 =48
y=5(6)+12 =42
$6 is saved

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Solve for x: 3(x + 1) = −2(x − 1) + 6.

Answers

3(x+1) = -2(x-1) + 6
3x + 3 = -2x + 2 + 6
5x + 3 = 8
5x = 5
x = 1

There are 5 gears connected in a row, the first one is connected to the second one, the second one is connected to the third one, and so on.If the first gear is rotating clockwise, what direction is the fifth gear turning?

Answers

Answer:

fifth gear is also rotating clockwise

The measure of central angle XYZ is 1.25 radians.

What is the area of the shaded sector?

Answers

Note that a sector is the area bounded by two radii and the included arc. When trying to calculate for the area of the sector, you’ll use the formula A=n/360 (pi)(radius)^2. Remember that the n in the formula refers to the measure of the central angle in degrees. Since the given data in the problem is in radians term, you can convert it by multiplying 1.25 to 180/pi. Then you can now input the converted value to the formula of finding the area of the sector.

Answer:

Step-by-step explanation:

6 is 12% of what number

Answers

6 is 12% 50

Change the percentage into a decimal by dividing the percentage (12) by 100:
$(12)/(100) = 0.12$

Divide 6 by the decimal (0.12):
$6 / 0.12 = 50$

When you do these problems, just divide the part value by the percentage (converted into a decimal value, of course).
6/0.12 = 50.
So 6 is 12% of 50.
Hope that helped you.

Han rolls a standard number cube once.

Whats the sample space?