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TEA [102]
3 years ago
12

Help me please and thank you :)

Mathematics
1 answer:
Paul [167]3 years ago
4 0

Answer:

A

Step-by-step explanation:

We have the equation:

\displaystyle \frac{3}{8}y=2+x

And we want to determine whether or not this represents a direct proportion.

First, let's solve for <em>y. </em>Multiply both sides by 8/3:

\displaystyle y=\frac{16}{3}+\frac{8}{3}x

Remember that direct proportions must pass through the origin point on a graph. In other words, their <em>y-</em>intercept or constant value is zero.

Since the constant value here is not zero (it is 16/3), the equation is not direct proportion.

Our answer is A.

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Answer:

Part a) The number of boxes needed will be 4

part b) The fraction of the box that is empty is \frac{1}{2}

Part c) Are needed 2 cupcakes to fill the last box

Step-by-step explanation:

Part a) How many boxes will be needed for Polly to bring all the cupcakes to the party?

To find out the number of boxes needed, divide the total number of cupcakes by 4 (maximum number of cupcakes that fit in each box).

so

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Round up

The number of boxes needed will be 4

Part b) If the bakery completely fills as many boxes as possible, what fraction of the last box is empty?

we know that

The maximum number of cupcakes per box is 4

The first three boxes have 4 cupcakes

The last box has

14-3(4)=2\ cupcakes

The fraction of the box that is empty is equal to the number of cupcakes missing to fill the box divided by the cupcake capacity of the box

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Part c) How many more cupcakes are needed to fill this box

Subtract the number of cupcakes in the box from the cupcake capacity of the box

The last box has 2 cupcakes

The cupcake capacity of the box is 4

so

4-2=2\ cupcakes

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