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denis-greek [22]
3 years ago
7

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)
Mathematics
1 answer:
bija089 [108]3 years ago
4 0
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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2 kitchen assistants can prepare 10 kg of vegetables in 60 minutes. How long would it take 20 assistants to prepare the same amo
Hatshy [7]
2 times 60 is at least 120 minutes. So, if 20 assistants prepare the same amount. We would have to divide 120 minutes to 20 assistants. So the answer would be 6 minutes.
6 0
4 years ago
What is the quotient 5/8 + 1/5?
Brums [2.3K]

Answer:

33/40

Step-by-step explanation:

cross multiply

5 x 5 = 25

8 x 1 = 8

25 + 8 = 33 (our numerator)

8 x 5 = 40 (our least common denominator)

6 0
3 years ago
Question is on the picture
aleksklad [387]

Answer:

12/5

Step-by-step explanation:

tan A = opp/adj

For angle theta, 12 is the opposite leg.

13 is the hypotenuse.

We were not given the length of the adjacent leg, but we can use the Pythagorean theorem to find it.

a^2 + b^2 = c^2

a^2 + 12^2 = 13^2

a^2 + 144 = 169

a^2 = 25

a = 25

The adjacent leg has a length of 5.

tan theta = opp/adj

tan theta = 12/5

Answer: 12/5

4 0
3 years ago
A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How m
Pie

Answer:

No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to call the numbers x and y.

A number is equal to twice a smaller number plus 3.

Greater number is x, and smaller is y. So

x = 2y + 3

The same number is equal to twice the sum of the smaller number and 1.

This means that x = 2y + 1

Equaling the values for x:

2y + 3 = 2y + 1

0y = -2

y = -\frac{2}{0}

Since division by 0 does not exist, it means that there is no solution for the system.

5 0
3 years ago
Base 72; percentage 12
iVinArrow [24]

Answer:

16.67

Step-by-step explanation:

12 is what percent of 72? = 16.67

4 0
3 years ago
Read 2 more answers
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