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andrey2020 [161]
3 years ago
5

Colton is painting a set of figurines a solid color. It takes him 15 minutes and 5 milliliters of paint to finish a small figuri

ne. It takes him 30 minutes and 8 milliliters of paint to complete a large figurine. Colton plans to paint for at least 360 minutes, and he can use a maximum of 100 milliliters of paint.
(20 points) This graph and system of inequalities represent this situation, where x represents the number of completed small figurines and y represents the number of completed large figurines.

15x + 30 ≥ 360
5x + 8y ≤ 100

Mathematics
2 answers:
Pepsi [2]3 years ago
8 0

Answer:

4,10

Step-by-step explanation:

We want where they both overlap

X must be greater than 0

We cannot have parts of figures so we must have whole numbers

(6,9) is too large

nika2105 [10]3 years ago
7 0

Answer:

A

Step-by-step explanation:

The solution set is the purple region. The intersection lies at (4,10)

The region is towards left of x=4 so it can't be D

x and y have to be non-negatve integers. So it can't be B or C

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Answer:

0.2122\text{ ft per min}

Step-by-step explanation:

Let r be the radius ( in feet ) of the cone,

So, the diameter of the cone = 2 × radius = 2r feet,

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If h represents the height of the cone,

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∵ Volume of a cone,

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Differentiating with respect to t ( time )

\frac{dV}{dt}=\frac{9}{4}\pi h^2\frac{dh}{dt}

We have,

\frac{dV}{dt}=6\text{ cubic ft per min},h=2\text{ feet}

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6=9\pi \frac{dh}{dt}

\implies \frac{dh}{dt}=\frac{6}{9\pi }\approx 0.2122\text{ ft per min}

4 0
3 years ago
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