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zysi [14]
2 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]2 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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The answer to the question

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Find the Quetion of the line that passes through the points (1,6) and (5,2)
NemiM [27]

Answer:

y=-x+7

Step-by-step explanation:

Equation of straight line is given as

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<u>Here </u>

(x_1, y_1)=(1, 6) \ \ and \ \ (x_21, y_2) = (5, 2)

m = \frac{2 - 6}{5 - 1}\\m=\frac{- 4}{4} \\m=-1

<u>Equation of line that passes through the points (1,6) and (5,2)</u>

<u />y-6=-1(x-1)\\y=-x+7<u />

5 0
3 years ago
cos2x=____. Check all that apply. A. 1-2sin^2 x. B. 2sin^2 x-1. C. sin^2 x-cos^2 x. D. cos^2 x-sin^2 x
g100num [7]
         cos 2 x = cos² x - sin² x = 1 - sin² x - sin² x = 1 - 2 sin² x.
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7 0
2 years ago
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What is the difference of the lengths of and ? use the value = 3.14, and round the answer to two decimal places. a. 1.25 units b
natulia [17]

The difference between the length of arc BD and CE is 1.57 units

<h3>Length of an arc</h3>

length of arc = ∅ / 360 × 2πr

where

  • r = radius
  • ∅ = central angle

Therefore,

BD = 45 / 360 × 2 × 3.14 × 6 = 1695.6 / 360 = 4.71 units

CE = 45 / 360 × 2 × 3.14 × 8 = 2260.8 / 360 = 6.28 units

Therefore, the difference between the length of arc BD and CE is as follows:

6.28 - 4.71 = 1.57 units

learn more on length of arc here: brainly.com/question/3984590

#SPJ4

6 0
1 year ago
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