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Nataly [62]
3 years ago
12

Taylor is comparing the prices of two mattress cleaning companies. Company A charges $30 per mattress and an additional $15 as s

ervice charges. Company B charges $28 per mattress and an additional $21 as service charges. Part A: write equations to represent company A’s and Company B’s total mattress cleaning charges for a certain number of mattresses. Define the variable used in the equations. Part B: which company would charge less for cleaning 6 mattresses? Justify your answer. Part C: How much money is saved by using the services of Company B instead of Company A to clean 3 mattresses?
Mathematics
1 answer:
Rus_ich [418]3 years ago
4 0

Company A: y= 30x +15 Company B: y= 28x +21



Company B will be cheaper for cleaning 6 mattresses. y= 30 (6) +15 -> y= 180+15

y=195.    B: y= 28(6) +21 -> y= 168+21 -> y= 189


C: $6 are saved for using company B.

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Kurt says factors and multiples are
maxonik [38]

<u>Step-by-step Explanation:</u>

<em>Before heading towards the solution, you need to make sure how multiple and factors are related to each other.</em>

<em>The multiple of a number could be obtained by multiply it with another number. </em>

For example, the first five multiples of 12 are 12, 24, 36, 48 and 60

  • 1 X 12 = 12
  • 2 X 12 = 24
  • 3 X 12 = 36
  • 4 X 12 = 48
  • 5 X 12 = 60

<em>Factors are the numbers that are multiplied to get a given number.</em>

For example,

  • 1 X 12 = 12
  • 2 X 12 = 24
  • 3 X 12 = 36

The factors of 12 are 1, 2, 3, 4, 6 and 12.

As division and multiplication can be used to find factors and multiples.

For example a whole number is a multiple of its factors.

Let w = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20} be the set of even wholes numbers from 2 to 20.

As 2 is a factor of 20 because 20 ÷ 2 = 4

20 is a multiple of 2 because 2 X 10 = 20

So, in the same way, the equation 8 X 5 = 40 can be used to determine how factors and multiples are related.

Let the equation be

                                    8 X 5 = 40

8 is a factor of 40 because 8 X 5 = 40

40 is a multiple of 8 because 40 ÷ 5 = 8

<em>So, this is how factors and multiples are related to each other.</em>

<em />

<em>Keywords: factors, multiples, division, multiplication</em>

<em> Learn more about factors and multiples from brainly.com/question/596356</em>

<em> #learnwithBrainly</em>

4 0
3 years ago
if a birthdat cake is cut into 12 pieces and five children each eat one piece, what fraction of the cake is gone?
klio [65]

Answer:

5/12

Step-by-step explanation:

12 pieces of cake is the original amount and 5 kids ate it 5 pieces that means 5/12 of the cake it gone.

4 0
3 years ago
There are 12 colored blocks of equal size in a bag . 4 of these blocks are blue , 5 are green , and 3 are red . if a block is re
o-na [289]
Probability = amount of blue/ amount of all
Probability = 4/12
Probability = 1/3
4 0
2 years ago
If Amelia wants to make the maximum amount of money working only 22 hours per week, which company should she work for? Explain y
guapka [62]

Answer:company b

Step-by-step explanation:

8 0
3 years ago
What is the first step to this equation 4(2m+3)+1=21
Charra [1.4K]

Answer:

TAKE WHAT IS IN PERENTHISES AND TIMES IT BY THE 4 IN FRONT OF IT

Step-by-step explanation:

5 0
3 years ago
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