Mathematics, 28.01.2020 20:58 bigmouth804

Jake is comparing the prices of two laundry service companies. company a charges $20 per load and an additional $8 as service charges. company b charges $24 per load and an additional $4 as service charges. part a: write an equation to represent each company's total charges for cleaning a certain number of loads of laundry. for both equations (one for company a and one for company b), define the variable used. (4 points) part b: which company would charge less for 5 loads of laundry? justify your answer. (3 points) part c: how much money is saved by using the services of company a instead of company b to clean 9 loads of laundry? (3 points)

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Answer from: ashleyy80

For Company A

Let $T_{A}$ be the total charges of Company A, and let be the number of loads; we also know that the additional service charge is $8. So, putting all together into an equation we get:

$T_{A}=20l+8$

For Company B

Let $T_{B}$ be the total charges of Company B, and let be the number of loads; we also know that the additional service charge is $4. So, putting all together into an equation we get:

$T_{B}=24l+4$

Answer

Equations representing the total charges for a certain number of loads of laundry:

Company A: $T_{A}=20l+8$

Company B: $T_{B}=24l+4$

Here we just need to replace with 5 in each equation and compare the totals.

For Company A

$T_{A}=20l+8$

$T_{A}=20(5)+8$

$T_{A}=100+8$

$T_{A}=108$

Company A charges $108 for 5 loads of laundry.

For Company B

$T_{B}=24l+4$

$T_{B}=24(5)+4$

$T_{B}=120+4$

$T_{B}=124$

Company B charges $124 for a 5 load laundry.

Answer

Company A charges less for 5 loads of laundry than Company B; in fact, Company A charges $16 less than Company B.

First we are going to find how much each Company charges for 9 loads of laundry; then, we are going to subtract the total charges from Company A from the total charges of Company B.

For Company A

$T_{A}=20(9)+8$

$T_{A}=180+8$

$T_{A}=188$

Company A charges $188 for a 9 load laundry.

For Company B

$T_{B}=24l+4$

$T_{B}=24(9)+4$

$T_{B}=216+4$

$T_{B}=220$

Company B charges $220 for a 9 load laundry.

Difference: $220 - $188 = $32

Answer

Company A charges $32 than Company B to clean 9 loads of laundry.

Answer from: Quest

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: