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Irina18 [472]
3 years ago
8

What is the unit rate if there are 258 purple polka-dot pencils in 3 purple polka-dot purses?

Mathematics
1 answer:
stiks02 [169]3 years ago
4 0
Unit rate means one. So the best way to solve this is using a proportion over one. If there are 258 pencils in 3 purses 258/3 then how many are in one purses x/1. Cross multiply next. 258/3 * x/1. You get 3x and 258. To get the x alone, divide both sides by three. Your answer is 86 pencils in one purse.
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An artist mixes paint to make new colors.
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Answer:

The artist can make six batches of orange paint and it remains one cup of yellow paint

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of red paint for one batch of orange paint = 1/3 of a cup

Amount of yellow paint for one batch of orange paint= 1/3 of a cup

Amount of red paint available = 2 cups

Amount of yellow paint available = 3 cups

2. How many batches of orange paint can she make?

2 cups of red paint = 6/3 = 6 batches of orange paint

3 cups of yellow paint = 9/3 = 6 batches and it remains one cup of yellow paint

The artist can make six batches of orange paint and it remains one cup of yellow paint

Step-by-step explanation:

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Wilson hires a financial analyst to analyse costs and profits for his cereal production business. The analyst determines that Wi
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If Wilson produces only one 1 bag, then his profit starts decreasing

<h3>How to determine the point</h3>

Given the function;

Let  f ( x ) = 2x^4 - 4x^3 + 7

Where;

x is  the number of bags of cereal produced

f'x = 2x^4 - 4x^3 + 7

f'(x) = 8x^3 - 12x^2

Factorize the expression

f'(x) = 4x^2(2x - 3)

If the value of x is decreasing, we have;

f ′ ( x ) ≤ 0

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If x² ≥ 0, then;

2x - 3  ≤ 0

x ≤ 3/ 2

With x as the number of bags

x ∈ N

x = 1 is the only possibility

Thus, if Wilson produces only one 1 bag, then his profit starts decreasing

Learn more about functions here:

brainly.com/question/2456547

#SPJ1

The complete question:

Wilson hires a financial analyst to analyse costs and profits for his cereal production business. The analyst determines that Wilson’s eventual profit function is given as: pi = 2x ^ 4 - 4x ^ 3 + 7,  where x is the number of bags of cereal produced. At what point or number of bags of cereal will Wilson’s profit start decreasing

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2 years ago
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