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Ugo [173]
4 years ago
7

Answer the following 3 question(s) using the information from the scenario below.

Mathematics
1 answer:
finlep [7]4 years ago
6 0

Answer:

Answer 1: a. Moonlight: C=75n+1000

Riverside: C=50n+1500

Answer 2: c. The solution coordinates are c. (20, 2500)

Answer 3: c. When there are 20 guests attending the price is $2500.

Step-by-step explanation:

Moonlight Hall:

Fixed cost = $1000

Cost per guest = $75

Cost of <em>'n' </em>guests = 75 \times n

Total cost of moonlight hall = Fixed cost + Cost of 'n' guests

\Rightarrow 1000 + 75 \times n

Riverside Hall:

Fixed cost = $1500

Cost per guest = $50

Cost of <em>'n' </em>guests = 50 \times n

Total cost of moonlight hall = Fixed cost + Cost of 'n' guests

\Rightarrow 1500 + 50 \times n

Hence, Answer 1:

a. Moonlight: C=75n+1000

Riverside: C=50n+1500

Answer 2: Coordinates of solution:

Option c. (20,2500) satisfies both the equation.

When there are 20 number of guests, the cost of both moonlight and riverside hall comes out to be 2500.

Moonlight Hall cost

75 \times 20 + 1000\\\Rightarrow \$2500

Riverside Hall cost

50 \times 20 + 1500\\\Rightarrow \$2500

Answer 3: c. When there are 20 guests attending the price is $2500.

The solution is done in Answer 2.

So,

Answer 1: a. Moonlight: C=75n+1000

Riverside: C=50n+1500

Answer 2: c. The solution coordinates are c. (20, 2500)

Answer 3: c. When there are 20 guests attending the price is $2500.

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We need to find the larest of the fractions. Changing all of them to equal denominators
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5 0
4 years ago
You need a 90% alcohol solution. On hand, you have a 55 mL of a 45% alcohol mixture. You also have 95% alcohol mixture. How much
Molodets [167]

Answer:

495 milliliters of the 95% mixture are needed.

Step-by-step explanation:

Given that I need a 90% alcohol solution, and on hand I have a 55 ml of a 45% alcohol mixture, and I also have 95% alcohol mixture, to determine how much of the 95% mixture will I need to add to obtain the desired solution, the following calculation must be performed:

55 x 0.45 + 45 x 0.95 = 67.5

25 x 0.45 + 75 x 0.95 = 82.5

15 x 0.45 + 85 x 0.95 = 87.5

10 x 0.45 + 90 x 0.95 = 90

10 = 55

90 = X

90 x 55/10 = X

4,950 / 10 = X

495 = X

Thus, 495 milliliters of the 95% mixture are needed.

5 0
3 years ago
1. Is the relation a function? Why or why not?<br> {(-3,-2),(-1,0), (1, 0), (5,-2)}
34kurt

Answer:

yes, the given relation is a function.

Step-by-step explanation:

The given relation is

{(–3, –2), (–1, 0), (1, 0), (5, –2)}

A relation is called function if each element of the domain is paired with exactly one element of the range.

It means for each value of x there exist a unique value of y.

In the given relation for each value of x there exist a unique value of y.

Therefore the required solution is yes and this relation is a function.

5 0
3 years ago
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Answer: 35 dogs

Step-by-step explanation:

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Let the unknown number of dogs for last week be Z

Thus, 49/28 = Z/20

To get the value of Z, cross multiply

49 x 20 = 28 x Z

980 = 28Z

Divide both sides by 28

980Z/28 = 28/28

Z = 35

Thus, there were 35 dogs in the animal shelter during the last week

4 0
3 years ago
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Answer:

I was wondering if we could do something simpler

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3 years ago
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