Choose all the expressions that are equal to 34 × 8,010.
A. 8,010 × 34
B. 34 × (801 × 102)
C. 30 × 4 × 8,010
D. 34 × (8,000 + 10)
E. (30 + 4) × 8,010

Answers

Answer 1

Answer: A. 8,010 × 34

D. 34 × (8,000 + 10)

E. (30 + 4) × 8,010

Step-by-step explanation:

First we need to calculate 34 × 8010 = 272340

A. 8,010 × 34 = 272340

This is equal to 34 × 8010.

B. 34 × (801 × 102)

= 34 × 81702

= 2777868

This is not equal to 34 × 8010.

C. 30 × 4 × 8,010

= 961200

This is not equal to 34 × 8010.

D. 34 × (8,000 + 10)

= 34 × 8010 = 272340

This is equal to 34 × 8010.

E. (30 + 4) × 8,010

= 34 × 8010 = 272340

This is equal to 34 × 8010.

Therefore, the correct options are:

A, D, E.


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Responder:

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Answers

Answer:

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Answer:

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RootIndex 3 StartRoot StartFraction x cubed Over c y Superscript 4 Baseline EndFraction EndRoot = StartFraction x Over 4 y (RootIndex 3 StartRoot y EndRoot) EndFraction

Answers

Answer:

C. c = 64

Step-by-step explanation:

The question is incomplete. Here is the complete question.

What value of c makes the equation true? Assume x greater-than 0 and y greater-than 0

RootIndex 3 StartRoot StartFraction x cubed Over c y Superscript 4 Baseline EndFraction EndRoot = StartFraction x Over 4 y (RootIndex 3 StartRoot y EndRoot) EndFraction

c = 12

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We are to find the value of c from the expression.

Step 1: Take the cube of both sides;

[tex](\sqrt[3]{\dfrac{x^3}{cy^4} } )^3= (\dfrac{x}{4y\sqrt[3]{y} })^3\\\dfrac{x^3}{cy^4} = \dfrac{x^3}{(4y)^3(\sqrt[3]{y} )^3}\\\dfrac{x^3}{cy^4} = \dfrac{x^3}{(64y^3)(y)}\\\\\dfrac{x^3}{cy^4} = \dfrac{x^3}{64y^4}\\[/tex]

Step 2: compare the denominator of both sides of the equation;

[tex]\dfrac{x^3}{cy^4} = \dfrac{x^3}{64y^4}\\\\On \ comparing;\\\\cy^4 = 64y^4\\[/tex]

Step 3: Divide both sides by y₄

[tex]\dfrac{cy^4}{y^4} = \dfrac{64y^4}{y^4}\\c = 64\\[/tex]

Hence the value of c is 64. Option C is correct

Answer:

C is the anwser

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