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qaws [65]
3 years ago
8

The ratio of the number of cups of red paint to the number of cups of yellow paint that Garcia mixed to make a shade of orange p

aint is 4:1.
Part A: Write a sentence to describe the number of cups of red paint that Garcia mixed with each cup of yellow paint. (4 points)

Part B: How many cups of yellow paint should Garcia add to each cup of red paint to make the shade of orange? Explain your reasoning. (4 points)

Part C: If Garcia purchased 6 cups of red paint for $42, what is the unit price per cup of red paint? (2 points)
Mathematics
1 answer:
frez [133]3 years ago
6 0

A.  Garcia mixed four cups of yellow paint with one cup of red paint. So, each red paint would be four yellow paints.

B. Garcia should put four cups of red paint for each red paint. I say this because if the ratio is 4:1 that means its four yellow paints to one red paint. 

C. The unit price would be $7, because if you divide 42 by 6, it's 7.

Hope this is right :)

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Find the angle between the given vectors to the nearest tenth of a degree. u = (8, 4), v = (9, -9)
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Step-by-step explanation:

The formula for calculating the angle between two vectors is expressed as;

u.v = |u||v|cos theta

u.v = (8, 4).(9, -9)

u.v = 8(9)+4(-9)

u.v = 72-36

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|u| = √64+16

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|v| = √9²+(-9)²

|v| = √81+81

|v| = √162

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cos theta = 36/113.84

cos theta = 36/113.84

cos theta = 0.3162

theta = arccos (0.3162)

<em>theta = 71.6 degrees </em>

<em>Hence the angle between the given vectors is 71.6 degrees </em>

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