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zysi [14]
3 years ago
8

Arnie decides to make 3 cups of dark orange paint and 3 cups of light orange paint.

Mathematics
1 answer:
dimulka [17.4K]3 years ago
5 0

The question is an illustration of equivalent ratios.

  • 3 cups of dark orange require 3 ounces of yellow  paint
  • 3 cups of light orange require 19.5 ounces of yellow paint

1 cup of dark orange requires

Red = 7oz

Yellow =1oz

To make 3 cups, we simply multiply by 3, because 3 \times 1 = 3

So, we have:

Red = 7oz \times 3 = 21oz

Yellow =1oz \times 3 = 3oz

2 cups of light orange require

Red =3oz

Yellow =13

To make 3 cups, we simply multiply by 1.5, because 2 \times 1.5 = 3

So, we have:

Red = 3oz \times 1.5 = 4.5oz

Yellow = 13oz \times 1.5 = 19.5oz

Hence:

  • 3 cups of dark orange require 3 ounces of yellow  paint
  • 3 cups of light orange require 19.5 ounces of yellow paint

Read more about equivalent ratios at:

brainly.com/question/18441891

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You invest $1000 in an accound that pays 7.9% interest, compounded monthly. How much money is in the account at the end of three
faust18 [17]

Answer:I hope the following example will help you

Step-by-step explanation:

Ex1: If $1000 is invested now with simple interest of 8% per year. Find the new amount after two years.

P = $1000, t = 2 years, r = 0.08.

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Elena is paid a constant rate for each hour she works. The table shows the amounts of money that Elena earned for various amount
Nikolay [14]

Constant rates are used to illustrate linear functions.

  • The average rate of change is $9.0 per hour
  • The function that models the table is: \mathbf{f(x) = 9x }
  • The amount earned in 7.5 hours is $67.5

<u>(a) The average rate of change</u>

This is calculated using:

\mathbf{Rate = \frac{y_2 -y_1}{x_2 -x_1}}

So, we have:

\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}

\mathbf{Rate = \frac{9}{1.0}}

\mathbf{Rate = 9.0}

Hence, the average rate of change is $9.0 per hour

<u>(b) A function that models the table of values</u>

Let x represent hours, and y represent the earnings.

So, we have:

\mathbf{y =m (x - x_1) + y_1}

Where:

m =Rate = 9.0

So, we have:

\mathbf{y = 9(x - 2.5) + 22.5}

Expand

\mathbf{y = 9x - 22.5 + 22.5}

\mathbf{y = 9x }

Represent as a function

\mathbf{f(x) = 9x }

Hence, the function that models the table is: \mathbf{f(x) = 9x }

<u>(c) Amount earned for 7.5 hours</u>

This means that x = 7.5

So, we have:

\mathbf{f(7.5) = 9 \times 7.5 }

\mathbf{f(7.5) = 67.5}

Hence, the amount earned in 7.5 hours is $67.5

Read more about constant rates at:

brainly.com/question/23184115

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g100num [7]
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Answer:

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Step-by-step explanation:

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