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vfiekz [6]
3 years ago
8

16) A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by E'(x) =

10x + 11, where x is the number of days since the start of the job. Find the expenditure if the job takes 5 days. A) $61 B) $6100 C) $180 D) $18,000
Mathematics
1 answer:
erastova [34]3 years ago
3 0

Answer:

$61

Step-by-step explanation:

Given

Number of days, x = 5

Expenditure per day, E'(x) = 10x + 11

Required

Determine the expenditure per day (E'(x))

From the question, we have that

E'(x) = 10x + 11

Substitute 5 for x

E'(5) = 10 * 5 + 11

E'(5) = 50 + 11

E'(5) = 61

Hence, the expenditure for 5 days is $61

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Cheryl paid $37.20 for 12 gallons of ice cream for a school picnic. How much would 1 quart of ice cream cost?
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First, you need to get to one gallon, which is 37.20 divided by 12. (3.1)
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Hope that helped.
7 0
3 years ago
Read 2 more answers
The same number of people live on the islands Beautiful Sunrise and Gorgeous
aev [14]

Using the percentage concept, it is found that 75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

P = \frac{a}{b} \times 100\%

In this problem, we have that:

  • We consider that the population of both Beautiful Sunrise and Gorgeous Sunset islands is of x.
  • There is a fiesta at Beautiful Sunrise, and a number a of people from Gorgeous Sunset are coming, hence, there will be x + a people at Beautiful Sunrise and x - a people t Gorgeous Sunset.

The percentage of people from Gorgeous Sunset is on Beautiful Sunrise now is:

P = \frac{a}{x} \times 100\%

Now the number of people on Beautiful Sunrise is seven times the number of people on Gorgeous Sunset, hence:

\frac{x + a}{x - a} = 7

We can find a <u>as a function of x</u> to find the percentage:

\frac{x + a}{x - a} = 7

7(x - a) = x + a

7x - 7a = x + a

8a = 6x

a = \frac{3x}{4}

Then, the percentage is:

P = \frac{a}{x} \times 100\%

P = \frac{\frac{3x}{4}}{x} \times 100\%

P = \frac{3}{4} \times 100\%

P = 75\%

75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.

You can learn more about the percentage concept at brainly.com/question/10491646

7 0
2 years ago
The graph shows the dilation of quadrilateral MNOP with the origin as its center. Which rule describes this transformation?
lana66690 [7]

Answer:

D) (x, y) → (1/3x , 1/3 y)

Step-by-step explanation:

A dilation is a change of size, if the dilation factor is greater than 1, then the figure is enlarged.  If the dilation factor is smaller than 1, the figure is shrinked.  In both cases, the coordinates are MULTIPLIED by the dilation factor.

Among the 4 choices, only 2 are dilations.  One is with a dilation factor of 3 (A), which means the shape was enlarged.  And the other is with  dilation factor of 1/3, meaning the shape was shrinked.

Since we went from MNOP (LARGE one) to M'N'O'P' (small one), the dilation factor was < 1... so 1/3 is the answer.

Answers B and  C show a translation/movement of the shape, not a dilation.

8 0
3 years ago
Whats the answer i need help
julia-pushkina [17]
Answer)3.5
1)minus 17.5-14=3.5
2)14+3.5=17.5
3)keep adding 3.5
6 0
3 years ago
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