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Ghella [55]
3 years ago
10

Joni’s hair is 13 inches long and grows at an average rate of ⅔ in per month. Her friend Kate’s hair is 16 inches long and grows

at an average rate of ½ in per month. How many months will pass before the two friends have the same hair length?
Mathematics
1 answer:
Gelneren [198K]3 years ago
5 0
<h3>18 months will pass before the two friends have the same hair length</h3>

<em><u>Solution:</u></em>

Let "x" be the number of months

Joni’s hair is 13 inches long and grows at an average rate of ⅔ in per month

Equation : 13 + \frac{2}{3}x ------- eqn\ 1

Her friend Kate’s hair is 16 inches long and grows at an average rate of ½ in per month

Equation: 16 + \frac{1}{2}x ----- eqn\ 2

<em><u>For two friends to have the same hair length, eqn 1 must be equal to eqn 2</u></em>

13 + \frac{2x}{3} = 16 + \frac{x}{2}\\\\\frac{2x}{3} - \frac{x}{2} = 16 - 13\\\\\frac{4x}{6} - \frac{3x}{6} = 3\\\\x = 18

Thus 18 months will pass before the two friends have the same hair length

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4 years ago
Rebotar Inc.makes basketballs.Their fixed costs are $3,450.
melomori [17]

Answer:

<em>Since the profit is positive, Rebotar not only broke even, they had earnings.</em>

Step-by-step explanation:

<u>Function Modeling</u>

The costs, incomes, and profits of Rebotar Inc. can be modeled by means of the appropriate function according to known conditions of the market.

It's known their fixed costs are $3,450 and their variable costs are $12 per basketball produced and sold. Thus, the total cost of Rebotar is:

C(x) = 12x + 3,450

Where x is the number of basketballs sold.

It's also known each basketball is sold at $25, thus the revenue (income) function is:

R(x) = 25x

The profit function is the difference between the costs and revenue:

P(x) = 25x - (12x + 3,450)

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8 0
3 years ago
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Now that you know the height and the diameter of the cylinder, plug the values into the formula: A=2π(4)(20)+2π(4)^2.
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5 0
4 years ago
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spayn [35]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

4 0
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