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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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In a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, Joyce has s
d1i1m1o1n [39]

Answer:

66 ≤ f ≤100

Explanation

Mean= ( Σ x ) / n

Mean= sum of scores/ number of subject she took

Now, she already too 3 subject which sum is 85+83+86=254

Now we need to know range of score for her to have (grade) a mark between 80 and 89

Now let take the lower limit mean=80

The lowest score she can get is

Mean = ( Σx) / n

80=(85+83+86+f)/4

80×4= 254+f

Therefore, f= 320-254=66

Therefore the minimum score she can have to have a B is 66.

Then, let take the upper limit mean 89. i.e the maximum she can have so that she don't have an A grade.

Mean = ( Σx) / n

89=( 83+85+86+f)/4

89×4= 254+f

f= 356-254

f=102.

Therefore this shows that she cannot have an A grade in the exam. The maximum score for the exam is 100.

There the range of score is 66 ≤ f ≤100 to have a B grade

66 ≤ f ≤100 answer

Since she cannot score 102 in the examination.

8 0
3 years ago
Write 0.06 as a percentage
zloy xaker [14]

Answer:

6 percent

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
The starting point of the graph of y=sin(x) is located at the
Sergeu [11.5K]

Answer:

Notice on the graph y = sin x, the graph passes through the origin (0,0). Then the graph crosses the x-axis at (p,0). When we make c positive, we move the graph to the left c units

Step-by-step explanation:

7 0
3 years ago
What is the probability of the complement of rolling a number less than 5 by using a six-sided die?
Inessa05 [86]
<h3><u>Answer:</u></h3>

Hence, the probability of the complement of rolling a number less than 5 by using a six-sided die is:

1/3

<h3><u>Step-by-step explanation:</u></h3>

Let A denote the event of rolling a number less than 5 in a six-sided die.

Now, we know that the Total outcomes are: 6

since, the sample space is given as: {1,2,3,4,5,6}

Also Number of favorable outcomes are: 4

since the numbers which are less than 5 are {1,2,3,4}

Now we have to find:

P(A^c)

where P denotes the probability of an event and A^c denote the complement of event A.

We know that:

P(A^c)=1-P(A)

Now,

P(A)=\dfrac{4}{6}\\\\P(A)=\dfrac{2}{3}

Hence,

P(A^c)=1-\dfrac{2}{3}\\\\P(A^c)=\dfrac{3-2}{3}\\\\P(A^c)=\dfrac{1}{3}

Hence, the probability of the complement of rolling a number less than 5 by using a six-sided die is:

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8 0
3 years ago
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Find three consecutive even integers such that the sum of the least integer and the middle integer is 3030 more than the greates
Genrish500 [490]
X = <span> least integer
x + 2 = </span><span>middle integer
x + 4 = </span><span>greatest integer

x + x + 2 - (x + 4) = 3030
2x + 2 - x - 4 = 3030
x - 2 = 3030
x = 3030 + 2  
x = 3032  </span>← least integer

middle integer = x + 2 = 3034

greatest integer = x + 4 = 3032 + 4 = 3036

Check:
3032 + 3034 = 6066
3036 + 3030 = 6066
6066 = 6066

3 0
3 years ago
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