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Scilla [17]
3 years ago
5

A cookie company packages its cookies in rectangular prism boxes designed with square bases that have both a length and width of

4 inches less than the height of the box. Find the dimensions of the box if its volume is 128 cubic inches.
Mathematics
1 answer:
Verdich [7]3 years ago
7 0

Answer:

length and width=4

height=8

Step-by-step explanation:

Hello to solve this problem we must propose a system of equations of 3x3, that is to say 3 variables and 3 equations.

Ecuation 1

Leght=Width

.L=W

Ecuation 2

To raise the second equation we consider that the length and width of 4 inches less than the height of the box

H-4=W

Ecuation 3

To establish equation number 3, we find the volume of a prism that is the result of multiplying length, width, and height

LxWxH=128

From ecuation 1(w=h)

HW^2=128

solving for  H

H=\frac{128}{W^2}

<em />

<em>Using ecuation 2</em>

H-4=W

\frac{128}{W^2}-4=W\\W^3+4W^2-128=0

Now we find the roots of the equation, 2 of them are imaginary, and only one results in 4

W=4in

L=4in

to find  the height we use the ecuation 2

H-4=W

H=4+W

H=4+4=8

H=8IN

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A rectangle school banner has a length of 44 inches, a perimeter of 156 inches , and an area of 1496 square inches. The cheerlea
Andrej [43]
Based on the lengths, the cheerleaders' banner is scaled down by a factor of 4.

So, 44 ÷ 4 = 11.

For the perimeter, 156 ÷ 4 is 39.

For the area, you have to do A=bh
(Area = base × height)

The base (length) is 11 inches, multiply that by two to get 22 inches which is the amount for both lengths. If the total perimeter is 39, you have to subtract 22 from that to get the remaining inches which is 17.
17÷2= 8.5 inches. The height is 8.5.

Now you can plug them in
A=bh
A=(11)(8.5)
A=93.5 in^2

The final answer is:
Area = 93.5 in^2
Length = 11 in
Perimeter = 39 in

I hope that helps!
7 0
3 years ago
You bought a boat for $10,000. You have owned it for one year, and it is now worth $8,500. What is the percent decrease in your
Ede4ka [16]

Answer:

15%

Step-by-step explanation:

You find it by taking 10,000 and subtracting 8,500 and get $1,500. Now take $1500 and divide by the actual amount 10,000 and get 15%

5 0
3 years ago
Two numbers are randomly selected from integers 1 through 9. What is the probability that only one of the integers is odd given
Stells [14]

Another one where there's a danger of overthinking it !

The sum of ANY two integers is odd only if one is even and one is odd.

If they're both odd OR both even, then their sum is even.

So if their sum is odd, then one is odd and the other is even.

The probability is ' 1 ' (100%) .

4 0
3 years ago
Tamiami turned in 6 homework assignments. if she turned in 75 percent of the homework assignments that were due how many homewor
vivado [14]
Percemt means parts out of 100
75%=75/100=15/20=3/4

turned in 6
if she turned in 3/4 of total assignments due then how many total?
6=3/4 times total
multily both sides by 4/3 to clear fraction
24/3=total
8=total
answer is 8 homeworks were assigned
5 0
3 years ago
Solve for x: |x − 2| + 10 = 12 (1 point)
True [87]

Answer:

I think that would be 1

Step-by-step explanation:

Do everything in the lines before anything else. -2 becomes a 2 and then you add that with the 12 and divide 12 on both sides to get one.

6 0
1 year ago
Read 2 more answers
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