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3 years ago

What is X over 8 =9

Mathematics

1 answer:

Liula [17]3 years ago

4 0

Answer: x = 72

Step-by-step explanation: Although the problem is saying "X over 8", this really signifies that the <em>x</em> is being divided by 8 which is what a fraction is, numerator divided by a denominator.

Let's first undo what has been done. Since our variable is being divided by 8, we'll undo that by multiplying by 8 on both sides. It's important to remember, whatever you do on one side,

you <u><em>must</em></u> do to the other side.

If you look now, the 8 in the numerator and the 8 in the denominator will divide out and it will leave us with our variable which is <em>x</em>. Working on the other side now, 9 x 8 is equal to 72 so <em>x = 72</em> is our answer.

We can check our answer by plugging a 72 back into the original equation. So we have 72/8 = 9 which is a true statement

so our answer is correct.

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Use the net to determine the total surface area

disa [49]

Answer:

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Step-by-step explanation:

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3 years ago

A city has a population of 220,000 people. Suppose that each year the population grows by 7.25%. What will the population be aft

Archy [21]

Answer:

427,350

Step-by-step explanation:

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3 years ago

Penny has $50 to buy tickets to the state fair for her family she will buy an equal number of child and adult tickets the inequa

Katen [24]

Answer:

n < 3

Step-by-step explanation:

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4 0

3 years ago

Solve the equation.<br> 5x + 12 = -13

spin [16.1K]

Answer:

Simplifying

5x + 12 = -13

Reorder the terms:

12 + 5x = -13

Solving

12 + 5x = -13

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12' to each side of the equation.

12 + -12 + 5x = -13 + -12

Combine like terms: 12 + -12 = 0

0 + 5x = -13 + -12

5x = -13 + -12

Combine like terms: -13 + -12 = -25

5x = -25

Divide each side by '5'.

x = -5

Simplifying

x = -5

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Integration questions .

dlinn [17]

$\\\\\ \textbf{a)}\\\\~~~\displaystyle \int (6x- \sin 3x) ~ dx\\\\=6\displaystyle \int x ~ dx - \displaystyle \int \sin 3x ~ dx\\\\=6 \cdot \dfrac{x^2}2 - \dfrac 13 (- \cos 3x) +C~~~~~~~~~~~;\left[\displaystyle \int x^n~ dx = \dfrac{x^{n+1}}{n+1}+C,~~~n \neq -1\right]\\\\ =3x^2 +\dfrac{\cos 3x}3 +C~~~~~~~~~~~~~~~~~~~~;\left[\displaystyle \int \sin (mx) ~dx = -\dfrac 1m ~ (\cos mx)+C \right]\\$

$\textbf{b)}\\\\~~~~\displaystyle \int(3e^{-2x} +\cos (0.5 x)) dx\\\\=3\displaystyle \int e^{-2x} ~dx+ \displaystyle \int \cos(0.5 x) ~dx\\\\\\=-\dfrac 32 e^{-2x} + \dfrac 1{0.5} \sin (0.5 x) +C~~~~~~~~~~~~~~;\left[\displaystyle \int e^{mx}~dx = \dfrac 1m e^{mx} +C \right]\\\\\\=-\dfrac 32 e^{-2x} + 2 \sin(0.5 x) +C~~~~~~~~~~~~~~~~~;\left[\displaystyle \int \cos(mx)~ dx = \dfrac 1m \sin(mx) +C\right]\\\\\\=-1.5e^{-2x} +2\sin(0.5x) +C$

$\textbf{a)}\\\\y = \displaystyle \int \cos(x+5) ~ dx\\\\\text{Let,}\\\\~~~~~~~u = x+5\\\\\implies \dfrac{du}{dx} = 1+0~~~~~~;[\text{Differentiate both sides.}]\\\\\implies \dfrac{du}{dx} = 1\\\\\implies du = dx\\\\\text{Now,}\\\\y= \displaystyle \int \cos u ~ du\\\\~~~= \sin u +C\\\\~~~=\sin(x+5) + C$

$\textbf{b)}\\\\y = \displaystyle \int 2(5x-3)^4 dx\\\\\text{Let,}\\~~~~~~~~u = 5x-3\\\\\implies \dfrac{du}{dx} = 5~~~~~~~~~~;[\text{Differentiate both sides}]\\\\\implies dx = \dfrac{du}5\\\\\text{Now,}\\\\y = 2\cdot \dfrac 1 5 \displaystyle \int u^4 ~ du\\\\\\~~=\dfrac 25 \cdot \dfrac{u^{4+1}}{4+1} +C\\\\\\~~=\dfrac 25 \cdot \dfrac{u^5}5+C\\\\\\~~=\dfrac{2u^5}{25}+C\\\\\\~~=\dfrac{2(5x-3)^5}{25}+C$

$\textbf{a)}\\\\y = \displaystyle \int xe^{3x} dx\\\\\text{We know that,}\\\\ \displaystyle \int (uv) ~dx = u \displaystyle \int v ~ dx - \displaystyle \int \left[ \dfrac{du}{dx} \displaystyle \int ~ v ~ dx \right]~ dx\\\\\text{Let}, u =x~ \text{and}~ v=e^{3x} .\\\\y= \displaystyle \int xe^{3x} ~dx\\\\\\~~= x\displaystyle \int e^{3x} ~ dx - \displaystyle \int \left[\dfrac{d}{dx}(x) \displaystyle \int e^{3x}~ dx \right]~ dx\\\\\\$

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8 0

2 years ago