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tangare [24]
3 years ago
12

In a restaurant, Chad tracked the number of children and adults that came in over an hour. During that time, 16 children and 40

adults came in the restaurant. What is the ratio of adults to children that came into the restaurant?
a. 2:7
b. 5:3
c. 5:7
d. 5:2
Mathematics
1 answer:
Pepsi [2]3 years ago
4 0
You have 40/16
simplified by 8 and you have 5:2
so the answer is d. 5:2
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Answer:

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Step-by-step explanation:

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Part A:

You may choose the two lines connecting the origin and points A and B, and choose the portion of the space between them.

The line between the origin and A is

y = 3x

We want everything below this line (line included), so the first inequality is

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The line between the origin and B is

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We want everything above this line (line included), so the second inequality is

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Part B:

To verify the solutions, we can plug the coordinates of A and B in this system and check that we get something true: the coordinates of point A are (1,3), while the coordinates of point B are (3,1). The system becomes:

A:\begin{cases}3 \leq 3\cdot 1\\3 \geq \frac{1}{3}\cdot 1\end{cases},\quad B:\begin{cases}1 \leq 3\cdot 3\\1 \geq \frac{1}{3}\cdot 3\end{cases}

Which means

A:\begin{cases}3 \leq 3\\3 \geq \frac{1}{3}\end{cases},\quad B:\begin{cases}1 \leq 9\\1 \geq 1\end{cases}

And these are all true. So, the system is satisfied, which means that the points belong to the shaded area.

Part C

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B:\ 1

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C.Quadrilateral is the answer for the following because rhombus, trapezoid, isosceles trapezoid have parallel sides.

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