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3 years ago

15 - 5 x = 10 x + 45

Mathematics

2 answers:

Tomtit [17]3 years ago

6 0

Answer:

x=-2

Step-by-step explanation:

add 5x , then subtract 45, then divide by 15

Mrac [35]3 years ago

3 0

Answer:

x = -2

Step-by-step explanation:

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

zalisa [80]

Answer:

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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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Step-by-step explanation:

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2 years ago

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Which ratio correctly compares 150 mm to 60 cm?

deff fn [24]

1 to 4
150mm is the same as 15cm
15cm:60cm
both divisible by 15
1cm:4cm

1 to 4

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Step-by-step explanation:

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bogdanovich [222]

Answer:

3x^2y

Step-by-step explanation:

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