Manufacturing a company is designing a new rectangular shipping box that must have a

volume of 24 cubic inches. The company has created a box with a width that is 2 inches less

than its length. The height is 5 inches greater than the length. What are the dimensions?

Answers

Answer 1

Answer:

3in by 1in by 8in

Step-by-step explanation:

Volume of the box = Length × Width × Height

Given

Volume = 24in³

If the width is 2inhes less than the length

W = L-2... 2

Also if the height is 5 inches greater than the length, then;

H = L+5 ... 3

Substitite 2 and 3 into the formula.

V= LBH

24 = L(L+5)(L-2)

24 = L(L²+3L-10)

24 = L³+3L²-10L

L³+3L²-10L-24 =0

Factorize

The factored form is

(L+2)(L²+L−12) = 0

L²+L-12 = 0

L²+4L-3L-12 = 0

L(L+4)-3(L+4) = 0

(L+4) = 0 and L-3 = 0

L = 3in

W = L-2

W = 3-2

L = 1in

H = L+5

H=3+5

H = 8in

Hence the dimension is 3in by 1in by 8in


Related Questions

find the unknown factor 12/16 and ?/4

Answers

Answer:

3

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

If

16 ÷ 4 = 4

Then it is true that

12 ÷ x = 4

Solving for x

x = 12 ÷ 4

x = 3

1/2y=25
Help please

Answers

Answer:

=> 25 x 2 = 50

Step-by-step explanation:

3^4x-5 = (1/27)^2x+10

Answers

Answer:

x = 10935/59048 = 0.185

Step-by-step explanation:

27 = 3^3

(27)^2 = (33)^2 = 36

What type of angle is show​

Answers

A right angle is 90 degrees, an obtuse angle is larger than 90 degrees and an acute angle is less than 90 Degrees.

The angle shown is smaller than 90 degrees so it is c. Acute

6x^{2} + 19 + 9x^{2} - 8
With Explanation

Answers

Answer:

I'mnot sure if you're asking for its roots..but here you go :)

Step-by-step explanation:

[tex] = 6 {x}^{2} + 19 + 9 {x}^{2} - 8 \\ = (6 {x}^{2} + 9 {x}^{2} ) + (19 - 8) \\ = 15 {x}^{2} + 8 \\ 15 {x}^{2} = - 8 \\ {x}^{2} = - \frac{8}{15} \\ \sqrt{ {x}^{2} } = \sqrt{ - \frac{8}{15} } \\ x = \sqrt{ \frac{8}{15}} \times \sqrt{ - 1} \\ x = \sqrt{ \frac{8}{15} } \times i \\ x1 = 0.7302i \\ x2 = - 0.7302i[/tex]

Pls help, Will give brainliest

Use the diagram to answer the question.



corresponds to which line segment?

CD
BC
DE
CE
none of the above

Answers

Answer:

Step-by-step explanation:

AB is opposite <ACB         Given from the diagram

<ACB = <DCE                     Vertically opposite angles.

DE will be in proportion to AB because both are opposite the two vertically opposite angles.

Answer:

I think its believe its DE

-5 (-3y - 3/4y - 5) + 5y PLEASE HELP

Answers

Answer:

23.75y+25

Step-by-step explanation:

multiply everything turn the fraction into a decimal add them together add the 5y at the end

An 18 foot ladder is leaning against a building. The base of the ladder is 6 feet from the base of the
building. What angle does the ladder make with the ground?

Answers

Answer:

right trianlge i think

Step-by-step explanation:

120-120= i need help please

Answers

The answer is 0 because any number - itself is equal to 0

Jada is solving the equation shown below.

Negative one-half (x + 4) = 6

Which is a possible first step to begin to simplify the equation? Select two options.
Divide both sides of the equation by –2.
Subtract 4 from both sides of the equation.
Multiply both sides of the equation by –2.
Distribute –2 over (x + 4).
Distribute Negative one-half over (x + 4).

Answers

i believe the two correct answers would be

multiply both sides of the equation by -2

and

distribute the -1/2 over (x+4)

Time Remaining
15:48
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Thomas has constant speeds for both running and walking. When a down-escalator is moving. Thomas can
run down it in 15 seconds or walk down it in 30 seconds. One day, when the escalator was broken (and
stationary), it took Thomas 20 seconds to run down it.
How long, in seconds, would it take Thomas to walk down the broken escalator?
30
40
45
50
60

Answers

Thomas walks down the stopped escalator in 30 seconds

Two sides of an acute triangle measure 5 inches and 8 inches. The length of the longest side is unknown.
What is the greatest possible whole-number length of the unknown side?
O 8 inches
O 9 inches
O 12 inches
O 13 inches

Answers

Answer:

9

Step-by-step explanation:

(-0.75X – 8) – (3.5X +5.4)

Answers

Answer:

− 4.25 X  −  13.4

Step-by-step explanation:

The graph shows a proportional relationship between the number of books sold at a yard sale and the amount of
money collected from book sales.
Book Sales Revenue
30 12
27
24
21
18
Revenue in dollars
15
12
3
4 8 12 16 20 24 28 x
Number of books sold
Save and Exit
SA
Mark this and totum

Answers

Answer:

4 8 12 16 20 24 28 32 36 40 44

3( x + 4y + 6) - 2(x + 8y + 3).​

Answers

Answer:

x-4y+12

Step-by-step explanation:

a machine at a graphic design studio produces paper labels for juice bottles. This graph represents the number of labels produced over time.


Based on the graph, how many labels are produced per minute?

50 labels/minute
75 labels/minute
100 labels/minute
150 labels/minute​

Answers

Answer:

150 labels/ minute

Step-by-step explanation:

As you can see on the graph there is a point on (1,1 1/2)=150/1

Also 150*2=300 so it all makes sence

!!help!!
Which of the following is the product of the rational expressions shown below? 3x/x+2/x-5• 8x/x+2

Answers

Answer:

3x

x

+

2

x

(5)(8)x

x

+2

=

−35x+2

x

Step-by-step explanation:

What is 2x-3(3x-11)=-2

Answers

The answer is x=5. The steps are in the pic

Answer:

x=5

Step-by-step explanation:

2x-3(3x-11)= -2

2x-9x+33= -2

-7x-33= -2

-7x= -33-2

-7x= -35

÷ -7= ÷ -7

x= 5

can someone please help me? it would mean so much to me. thanks a lot!

Answers

Answer:

Maybe  -3

Step-by-step explanation:

I am not 100% sure but it is better than nothing,

since 3+3=6 I think after 3 is 6, and after 6 is 9. I think that because the more right the line goes you add  3 to every move. So therefore, 3-3=0, and 0-3= -3

Hope this helps. Also, I hope I gave you the correct answer.

A flower pot’s base has six sides that are all the same length. Each side measures x−6 units. The base’s perimeter is 78 units.

What is the value of x?

Enter your answer in the box. PLEASE HELP AS SOON AS POSSIBLE

Answers

The answer is in the picture below

Which of the following represents the distributive property?

2x+3 = 2(x+3)
2(x +3) = 2x +6
2x+3 = 3(x+2)
2(x+3) = x +6

Answers

Answer:

2(x+3)=2x+6

Step-by-step explanation:

Because You multiply 2*x and 2*3.

The X is a variable and it actually equals to 1. so it's basically 2*1

After you multiply 2*x and 2*3 you will get 2x+6

B. 2(x+3)=2x+6

Have a nice day!

group of friends wants to go to the amusement park. They have $366.50 to spend parking and admission. Parking is $19, and tickets cost $34.75 per person, cluding tax. How many people can go to the amusement park?

Answers

Step 1:
Subtract $19 from total
366.50 - 19 = 347.5

Step 2:
Divide this total by the ticket price
347.50 / 34.75 = 10

Step 3:
You have your answer
10 people can go to the amusement park

Convert 52km to miles

Answers

32.311 miles........

Below is a set of data about temperatures. The range of a set of data is the distance between the lowest and highest value in the set. What is the range of these temperatures?
9°C, -3°C, 22°C, -5°C, 11°C, 15°C

Answers

Answer:

22-(-5)= 27

Step-by-step explanation:

22 is the highest temp. -5 is the lowest.

The range of the given temperatures is 27.

What is the range of the data set?

"It the difference between the highest and lowest value of the data set."

For given example,

a set of data about temperatures is,

9°C, -3°C, 22°C, -5°C, 11°C, 15°C

First, we arrange the data values in ascending order.

-5°C, -3°C, 9°C, 11°C, 15°C, 22°C

Here, the lowest temperature = -5°C

the highest temperature = 22°C

So, the range of the data set would be,

R = highest temperature value - lowest temperature value

R = 22 - (-5)

R = 22 + 5

R = 27

Therefore, the range of the given temperatures is 27.

Learn more about the range of the data set here:

https://brainly.com/question/20607770

#SPJ2

ACFG is a parallelogram, If AG = 2x + 10 and CF = 5x – 2, find CF.

Answers

Answer:

d. 18

Step-by-step explanation:

Lengths AG and CF of the parallelogram are equal.

i.e AG = CF

where AG = 2x + 10

          CF = 5x -2

→ 2x + 10 = 5x-2

(collecting like terms): 5x - 2x = 10 + 2

→ 3x = 12

x=12÷3 = 4

∴ CF = 5x -2 = 5(4) -2 = 20 - 2 = 18

CF = 18 (answer)

Paula is making apple pies. Thirteen medium apples yield 2 apple pies. How many medium apples does she need to make 10 apple pies?
medium apples

Answers

Answer:

she needs 65 medium apples

6. Ray Rodriguez will be eligible for retirement benefits in 72 months. How many years remain before Ray
can retire?

Answers

6 calandre years hope y get it correct and mark me brainliest plsssss

Solve for x. Will mark brainliest for the correct answer.

Answers

Answer:

x= 100 degrees

Because the angles are vertical

Round the fraction to the nearest whole number. 3 1/2

Answers

Answer:

4

Step-by-step explanation:

3 1/2= 3.5

5 rounds up, so it'll be 4

Answer:

4 hope this helps

nestor fills a jar with marbles.each marble weighs 1/25 pound .the total weighs of all marbles is 3/5 pound how many marbles are in the jar

Answers

Answer:

Total number of jars will be 15.          

Step-by-step explanation:

Given

The weight of each marble = 1/25 pound

The weight of all marbles = 3/5 pound

To determine

How many marbles are in the jar?

Let 'n' be the total number of jars

The total number of jars can be calculated by dividing the weight of all marbles by the weight of each marble.

Thus,

The total number of jars n = [weight of all marbles] / [weight of each marble]

                                           = [3/5] / [1/25]

                                           = [3 × 25] / [5 × 1]

                                           = 75 / 5

                                           = 15

Thus, total number of jars will be: n = 15                    

Answer:

15 marbles :) hope it helped a bit!

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