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Vikki [24]
3 years ago
12

A pound of popcorn is popped for a class party. The popped corn is put into small popcorn boxes that each hold 130 popped kernel

s. There are 1,450 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 box? Please explain how you get the answer
Mathematics
2 answers:
natita [175]3 years ago
4 0
12 boxes are needed and 20 will be in the last box.

1450/130 is 11.15 so You round up and need 12 boxes (because you can’t have .15 of a box) so you get the 11 boxes and multiply by how much it can hold (130) and get 1430 which is 20 short of 1450 so 20 would be in the last box .
cricket20 [7]3 years ago
3 0
<h2>Answer: </h2>

12 boxes are needed  in all.

Last box will contain only 20 kernels.

<h2>Step-by-step explanation:</h2>

Given is :

The popped corn is put into small popcorn boxes that each hold 130 popped kernels.

There are 1450 kernels in a pound of un popped popcorn.

If all the boxes are filled except for the last box, then how many boxes are needed?

Number of boxes  = Total number of kernels/Number of kernel in each box

=> \frac{1450}{130}= 11.15

Therefore, a total of 11+1 = 12 boxes are needed as 11.15 is more than 11.

And the last box will contain = 1450-1430=20 kernels.

Therefore, the last box will have 20 kernels.

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a regular rectangular pyramid has a base and lateral faces that are congruent equilateral triangles. it has a lateral surface ar
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A pyramid is regular if its base is a regular polygon, that is a polygon with equal sides and angle measures.
(and the lateral edges of the pyramid are also equal to each other)

Thus a regular rectangular pyramid is a regular pyramid with a square base, of side length say x.

The lateral faces are equilateral triangles of side length x.

The lateral surface area is 72 cm^2, thus the area of one face is 72/4=36/2=18  cm^2.

now we need to find x. Consider the picture attached, showing one lateral face of the pyramid.

by the Pythagorean theorem: 

h= \sqrt{ x^{2} - (x/2)^{2}}= \sqrt{ x^{2}- x^{2}/4}= \sqrt{3x^2/4}= \frac{ \sqrt{3} }{2}x

thus, 

Area_{triangle}= \frac{1}{2}\cdot base \cdot height\\\\18= \frac{1}{2}\cdot x \cdot \frac{ \sqrt{3} }{2}x\\\\ \frac{18 \cdot 4}{ \sqrt{3}}=x^2

thus:

x^2 =\frac{18 \cdot 4}{ \sqrt{3}}= \frac{18 \cdot 4 \cdot\  \sqrt{3} }{3}=24 \sqrt{3}       (cm^2)

but x^{2} is exactly the base area, since the base is a square of sidelength = x cm.


So, the total surface area = base area + lateral area =  24 \sqrt{3}+72   cm^2


Answer: 24 \sqrt{3}+72   cm^2

4 0
2 years ago
I need help with this question
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4 times 3.14 times 8 squared
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7 0
3 years ago
What whole number most closely estimates to <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B50%7D%20" id="TexFormula1" title=
zepelin [54]

Answer:

7

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6 0
3 years ago
Divide.
algol13

Answer:

Answer in simplified form is - 10 1/2 .

Step-by-step explanation:

We have given,

(5 1/4) ÷ (- 2 1/2)

This can be simplified as :

(5 1/4) ÷ ( -2 1/2)

Since 5 1/4 = 21/4  and -2 1/ 2 = -5/2

So we can write,

(5 1/4) ÷ ( -2 1/2) = 21/4 ÷ ( - 5/2)

or (21/4) / (-5/2)

or ( 21/4) * (-2/5)

or -42/20

or -21/10

or - 10 1/2 , this is the answer

Hence we get answer in simplified form as -10 1/2

7 0
3 years ago
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Answer:

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Step-by-step explanation:

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2)  Those who had negative experience are more likely to write a review than those who had not.

4 0
3 years ago
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