The dimensions in inches of a shipping box at We Ship 4 You can be expressed as width x, length x + 5, and height 3x – 1. The volume is about 7.6 ft3. Find the dimensions of the box in inches. Round to the nearest inch.

Answers

Answer 1
Answer: If you would like to find the dimensions of the box in inches, you can calculate this using the following steps:

width ... x inches
length ... (x + 5) inches
height ... (3 * x - 1) inches

volume ... 7.6 ft³
1 foot = 12 inches
7.6 ft³ = 13132.80 in³

volume = width * length * height
13133 = x * (x + 5) * (3 * x - 1)
13133 = (x^2 + 5 * x) * (3 * x - 1)
13133 = 3 * x^3 - x^2 + 15 * x^2 - 5 * x
13133 = 3 * x^3 + 14 * x^2 - 5 * x
0 = 3 * x^3 + 14 * x^2 - 5 * x - 13133
1. x ≈ 14.972 ≈ 15
2.x ≈ -9.820 + 13.998 * i
3. x ≈ -9.820 - 13.998 * i

width ... x inches = 15 inches
length ... (x + 5) inches = 15 + 5 = 20 inches
height ... (3 * x - 1) inches = 3 * 15 - 1 = 45 - 1 = 44 inches

The dimensions of the box are 15 inches, 20 inches and 44 inches.

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Step-by-step explanation:

Pressure head of 120 inches of water produces _______ psi of pressure

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4.335275019289474 this is water column by the way.

A circular hall has a hemispherical roof . The greatest height is equal tothe inner diameter.find area of the floor , given capacity of hall is 48510 metre cube.

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Please see the attached file for your answer

PLEASE ANSWER QUICKLYThe sum of three different positive integers is 12. Show that one of them must be greater than 4

Answers

Average of these numbers are 12/3=4. So If we choose them same, they will be 4, 4 and 4. But They must different. This situation causes one of them should 5 (lowest greater number).

Santino bought a book for $23.54. The price of the book was $22. What was the sales-tax rate?

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We first find value of tax in dollars.

The difference between the two prices  is: 23. 54 - 22 = 1.54

Therefore the sales tax in dollars is 1.54

The tax % will be  (amount of tax / original cost price ) × 100

(1.54 / 22) × 100 → (0.07) × 100 =  7

So the tax rate is 7%

We can double check the answer.

7 % of 22  → (7/100) × 22 → 0.07 × 22 = 1.54

22 + 1.54 = 23.54

E volume of the​ object, when you reduce the length of your ruler by a factor of 8​, the number of volume elements increases by a factor of 512 what's the dimension

Answers

Answer:

D=3.88

Step-by-step explanation:

We can use this equation:

N=R^(D)

Where:

  • N is the increase factor (N=512)
  • R is the reduce factor (R=8)
  • D is the dimension

512=5^(D)

We just need to solve it for D

D=log(512)/log(5)

D=3.88

Therefore the dimension will be 3

I hope it helps you!

Answer:

The dimension is 4

Step-by-step explanation:

Using the equation

N = R^d

Where,

N is the increase factor = 512

R is the reduce factor = 8

d is the dimension

512 = 5^d

Solving by logarithm

1log 512 = d log 5

D = log 512 ÷ log 5

= 3.87

Approximately 4