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3 years ago

−4 4/5 ÷ 4 A. -1 1/5 B. -4/5 C. 4/5 D. 1 1/5

Mathematics

1 answer:

kogti [31]3 years ago

7 0

Answer:

A. -1⅕

Step-by-step explanation:

$-4\frac{4}{5}\div 4 = -4,8\div 4 = -1,2 = -1 \frac{1}{5}$

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3 years ago

What is the simplified form of 12x/900x²y4z6?

zalisa [80]

Answer:

$360xy^2|xz^3|$

Step-by-step explanation:

Given expression:

$12x \sqrt{900x^2y^4z^6}$

$\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:$

$\implies 12x \sqrt{900}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}$

Replace 900 with 30² :

$\implies 12x \sqrt{30^2}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}$

$\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:$

$\implies 12x \cdot 30|x|\sqrt{y^4}\sqrt{z^6}$

$\implies 360x|x|\sqrt{y^4}\sqrt{z^6}$

(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).

$\textsf{Apply exponent rule} \quad \sqrt{a^m}=a^{\frac{m}{2}}:$

$\implies 360x|x|\cdot y^{\frac{4}{2}}\cdot z^{\frac{6}{2}}$

Simplify:

$\implies 360xy^2|xz^3|$

(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).

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2 years ago

What is 30 x 28 -100 +1000 x10

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The answer is 10,740.

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3 years ago

Calculate the quotient. If needed, draw a model. 3/4 divided by 1/5

a_sh-v [17]

Answer:

15/4, or 3.75

Step-by-step explanation: