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2 years ago

The quotient of a number and 3, less 8, is 16. What is the number?

Mathematics

2 answers:

Katen [24]2 years ago

5 0

Answer:

The number is 72.

Step-by-step explanation:

Let x be the number.

We are given that the quotient of a number and 3, less 8, is 16.

Thus, we can write this in the form of equation as:

$\displaystyle\frac{x}{3} - 8 = 16\\\\\frac{x}{3}-8 +8 = 16 + 8\\\\\frac{x}{3} = 24\\\\x = 3\times 24 = 72$

Thus, the number is 72.

d1i1m1o1n [39]2 years ago

3 0

The way I am reading this is 16=(x/3)-8. In that case, x=72. I hope that's the right way of interpreting this :)

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Which expression is equivalent to ( 4mn / m^-2n^6)^-2

inn [45]

Here are a few rules with exponents that apply here:

Raising a power to a power: $(x^m)^n=x^{m*n}$
Dividing exponents of the same base: $\frac{x^m}{x^n}=x^{m-n}$
Converting negative exponents to positive ones: $x^{-m}=\frac{1}{x^m}\ \textsf{and}\ \frac{1}{x^{-m}}=x^m$

Firstly, solve the outer exponent:

$(\frac{4mn}{m^{-2}n^{6}})^{-2}=\frac{4^{-2}m^{-2}n^{-2}}{m^{-2*-2}n^{6*-2}}=\frac{4^{-2}m^{-2}n^{-2}}{m^4n^{-12}}$

Next, divide:

$\frac{4^{-2}m^{-2}n^{-2}}{m^4n^{-12}}=4^{-2}m^{-2-4}n^{-2-(-12)}=4^{-2}m^{-6}n^{10}$

Next, convert the negative exponents:

$4^{-2}m^{-6}n^{10}=\frac{n^{10}}{4^2m^6}=\frac{n^{10}}{16m^6}$

<u>Your final answer is n^10/16m^6 , or B.</u>

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2 years ago

Write the square of (2x+1/x)

pentagon [3]

Answer:

((2 x^2 + 1)^2)/(x^2)

Step-by-step explanation:

Simplify the following:

(2 x + 1/x)^2

Hint: | Put the fractions in 2 x + 1/x over a common denominator.

Put each term in 2 x + 1/x over the common denominator x: 2 x + 1/x = (2 x^2)/x + 1/x:

((2 x^2)/x + 1/x)^2

Hint: | Combine (2 x^2)/x + 1/x into a single fraction.

(2 x^2)/x + 1/x = (2 x^2 + 1)/x:

((2 x^2 + 1)/x)^2

Hint: | Distribute exponents over quotients in ((2 x^2 + 1)/x)^2.

Multiply each exponent in (2 x^2 + 1)/x by 2:

Answer: ((2 x^2 + 1)^2)/(x^2)

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2 years ago

What is half of 52.50

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Answer:

26.25

Step-by-step explanation:

52.50 divided by 2= 26.25

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2 years ago

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Wittaler [7]

About around 20 cupcakes

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2 years ago

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AlekseyPX

Answer:

D. 220.16 Square feet

Step-by-step explanation: The shaded area is the space in the square not filled by the circle. So we need to find the area of the circle. The formula for area of a circle is $A=\pi r^{2}$ . So we fill in this equation with the information we already know:

$A=\pi 16^{2}$

$A=3.14*16^{2}$ Simplify the exponents

$A=3.14*256$ Multiply

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2 years ago

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