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masha68 [24]
3 years ago
6

you are in the research and development department at Jiffy Pop. the company is trying to come up with the new and improved popc

orn box to produce for movie theaters. The goal is to create a box with a with two in less than the length and width the height 5 in greater than the length the volume of the Box must be 24 cubic inches in order to hold enough popcorn.
Mathematics
1 answer:
Monica [59]3 years ago
7 0
Let L be the length of the box that the company aims to manufacture. With this representation, the width of the box is equal to L - 2 and the height is equal to L + 5. The volume of the box is equal to the product of the length, width, and height. That is,
                          A = L x (L - 2) x (L + 5) = 24

The value of L from the equation is 3 inches. 

The dimension of the box are as follow: 
length = L = 3 inches
width = L - 2 = 1 inch
height = L + 5 = 8 inches

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Simplify this expression.<br> 3^-3
Sphinxa [80]

Answer:

1/27 is the answer

Step-by-step explanation:

It is 1/(3^3) which is 1/27

4 0
3 years ago
A boy has only dimes and quarters in his piggy bank. if he has 70 coins worth 12 dollars and 40 cents altogether, how many quart
dlinn [17]

Let us bear in mind the equivalent value of these coins: 

One dime = $0.10 

One quarter = $0.25 

Let x = number of dimes 

        y<span> = number of quarters</span> 

Since the boy has 70 coins in total, we can say that: 

<span>x + y = </span><span>70 </span>(can be written as x = 70 – y) 

Since the boy has a total of $12.40, we can say that: 

0.10x + 0.25y = 12.40 

To solve this problem, we need to solve this system of equation. We have to substitute the value of x as written in the first equation (x = 70 –y) 

0.10(70 – y) + 0.25y = 12.40 

7 – 0.10y + 0.25y = 12.40 

0.15y = 5.40 

y = 36 

X = 70 – 36 

X = 34 

Therefore,<span> the boys </span>has<span> 34 dimes and 36 quarters. To check our answer, we just have to check if his money would total $12.40.</span> 

34 dimes = $3.40 

36 dimes = $9.00 

<span>Total           </span><span>$12.40</span>

7 0
3 years ago
Read 2 more answers
Use the table to complete Exercises 2 and 3.
sesenic [268]
Hello!

The Correct Answer's would be: 

2. Federal tax rate is 15%
<span>net weekly pay = 13644.80/52 * ( 1 - .15) - 53.60 = $169.44


3. </span>28% * 134350
<span>.28 * 134350

</span>37,618 divide by 52 = 723.42<span>
And 

4. Her refund would most likely be "</span>19566.58".


Hope this Helps! Have A Wonderful Day! :)
3 0
3 years ago
Which statement is true?
Greeley [361]

Answer:

Step-by-step explanation:

A The axis of symmetry of a parabola will always pass through the vertex.   TRUE!

B The axis of symmetry of a parabola will sometimes pass through the vertex.  FALSE!

C The axis of symmetry of a parabola will never pass through the vertex.  FALSE

4 0
3 years ago
Marking as brainliest!!!
vladimir1956 [14]
The answer would be 3.1623
3 0
3 years ago
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