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klio [65]
2 years ago
10

Two artists are mixing up green paint for a mural. The first artist, Shane, mixes 3 parts blue and 2 parts yellow to make a shad

e of green. The second artist, Nora, mixes 5 parts blue and 3 parts yellow to make another shade of green. After Nora mixes her paint, she has 72 ounces of green paint. How many ounces of yellow and blue paint did she use in her mixture? Explain your reasoning and upload a copy of your ratio table.
Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
5 0

Answer:

We would start by breaking down this problem. We want to know how much paint Shane used, so Nora isn't even relevant, we can just throw her out of the equation. Now we know that 2 parts of yellow paint was 24 ounces. We need to determine how much paint is in 1 part:

24/2 = 12

there is 12 ounces of paint in 1 part of paint.

Now what we need to figure out is how much blue paint was used. We know Shane used 3 parts of blue paint, and we know that 1 part = 12 ounces:

3*12 = 36

Shane used 36 ounces of blue paint

Step-by-step explanation:

Hope this helps:)

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The annual birth rate for a population of a given country is represented by the function y= 918397(0.9763)^t where “t” represent
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Answer:

<em>The initial number of annual births in 2018 is 918,397</em>

<em>The percent decrease in birth rates is 2.37%</em>

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Step-by-step explanation:

<u>Exponential Decay Function</u>

The exponential function is frequently used to model natural decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function is expressed as:

C(t)=C_o\cdot(1-r)^t

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r is the decaying rate, expressed in decimal

We are given the function that models the annual birth rate for a population of a given country:

y= 918,397(0.9763)^t

Where t represents the number of years since 2018.

a.) We can identify the variables with the actual model by comparing with the general equation, thus: Co=918,397 and 1-r=0.9763.

Solving for r we have r=1-0.9763=0.0237.

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y = 834,379

The expected number of births in 2021 is 834,379

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3 years ago
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