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balu736 [363]
3 years ago
9

A pound of popcorn is popped for a class party. The popped corn is put into small popcorn boxes that each hold 120 popped kernel

s. There are 1,600 kernels in a pound of unpopped popcorn. If all the boxes are filled except for the last box, how many boxes are needed and how many popped kernels are in the last partially filled box?
Mathematics
2 answers:
Aleksandr [31]3 years ago
5 0
13 of the boxes would be entirely filled, so 14 boxes would be needed in total. There would be 40 popped kernels in the last box.
Phantasy [73]3 years ago
3 0
1600 / 120 = 13.3
You will need 14 boxes.

120 x 0.3 = 36
There were 36 kernels in the partially filled box.
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Answer:

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Step-by-step explanation:

First term given to us is =  \frac{3}{4}

Second term given to us = -\frac{6}{7}

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Calculating the product of fraction is pretty simple. To calculate the product of any two fractions. We have to multiple the numerator of 1st term with numerator of 2nd which serves as the the numerator of the product. Similarly we have to multiply denominator with denominator.

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Answer:

Here we have:

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The first thing we should do here, is to define the transformations used.

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For a function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

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if N < 0, the translation is downwards.

Horizontal translation:

For a function f(x), a horizontal translation fo N units is written as:

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if N > 0, the translation is to the left

if N < 0, the translation is to the right.

Vertical dilation:

For a general function f(x), a vertical dilation of scale factor k is written as:

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We start with f(x).

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g(x) = 0.5*f(x)

if now we apply a horizontal translation of 3 units to the right, we get:

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if now we apply a vertical translation of 1 unit down, we get:

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Replacing by the actual function we get

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