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Alex_Xolod [135]
3 years ago
14

Cube 1 has a volume of 64 cubic inches and Cube 2 has a volume of 512 cubic inches. If the ratio of the surface area of Cube 1 a

nd 2 is 1:4 what are the side lengths of Cube 1 and Cube 2? A) 4 and 26 B) 8 and 16 C) 4 and 8 D) 8 and 64​
Mathematics
1 answer:
Inga [223]3 years ago
4 0

Answer:

4 and 8

Step-by-step explanation:

You don't need the surface area to find the edge length of a cube. Length of edge = ∛volume

Cube 1:

Length of each edge = ∛64 = 4 in.

Area of each face = 4² = 16 in².

Surface area = 6×16 = 96 in².

Cube 2:

Length of each edge = ∛512 = 8 in

Area of each face = 8² = 64 in²

Surface area = 6×64 = 384 in²

So the surface area is in the ratio 1:4

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Which expression represents
Nesterboy [21]

Answer:

(40+ 19) – 38

Step-by-step explanation:

We need to find the expression for "thirty-eight less than the sum of forty and nineteen".

Sum of forty and nineteen = 40 + 19

38 less than the above is 40 + 19 - 38

Overall expression is :

(40 + 19) - 38

Hence, the correct option is (d) "(40+ 19) – 38".

7 0
3 years ago
What is -3 (x+2) = 16 -x
arsen [322]

Answer:

x = -11

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Distributive Property

<u>Algebra I</u>

Equality Properties

  1. Multiplication Property of Equality
  2. Division Property of Equality
  3. Addition Property of Equality
  4. Subtraction Property of Equality

Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

-3(x + 2) = 16 - x

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Distributive Property] Distribute -3:                                                                -3x - 6 = 16 - x
  2. [Addition Property of Equality] Add <em>x</em> on both sides:                                     -2x - 6 = 16
  3. [Addition Property of Equality] Add 6 on both sides:                                    -2x = 22
  4. [Division Property of Equality] Divide -2 on both sides:                                x = -11
5 0
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Mark purchased a Playstation on sale at a 40%
Roman55 [17]
The amount of the discount was $140.

7 0
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The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?
soldier1979 [14.2K]

Answer:

32\pi/3 cm³

Step-by-step explanation:

If the diameter is 4 cm, then the radius is 2 cm.

Use the sphere volume formula:

V = 4/3\pir³

Plug in the radius and solve:

V = 4/3\pi(2)³

V = 4/3\pi(8)

V = 32\pi/3

So, the volume of the sphere is 32\pi/3 cm³

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3 years ago
Find the matrix that represents a rotation clockwise around origin followed by reflection about x
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