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omeli [17]
2 years ago
5

Show your work 4(2x - 6) = 10x - 6

Mathematics
2 answers:
IRISSAK [1]2 years ago
8 0

Answer: x = -9

Step-by-step explanation:

Simplifying

4(2x + -6) = 10x + -6

Reorder the terms:

4(-6 + 2x) = 10x + -6

(-6 * 4 + 2x * 4) = 10x + -6

(-24 + 8x) = 10x + -6

Reorder the terms:

-24 + 8x = -6 + 10x

Solve

-24 + 8x = -6 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.

-24 + 8x + -10x = -6 + 10x + -10x

Combine like terms: 8x + -10x = -2x

-24 + -2x = -6 + 10x + -10x

Combine like terms: 10x + -10x = 0

-24 + -2x = -6 + 0

-24 + -2x = -6

Add '24' to each side of the equation.

-24 + 24 + -2x = -6 + 24

Combine like terms: -24 + 24 = 0

0 + -2x = -6 + 24

-2x = -6 + 24

Combine like terms: -6 + 24 = 18

-2x = 18

Divide each side by '-2'.

x = -9

Simplifying

x = -9

Answer: x = -9

Elden [556K]2 years ago
4 0

4.(2x - 6) = 10x - 6

4.2x - 4.6 = 10x - 6

8x - 24 = 10x - 6

-24 + 6 = 10x - 8x

-18 = 2x

x = -9

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The dimensions of the rectangle are length 156 m and a width of 65m, and a perimeter P = 442m

<h3>How to find the dimensions of the rectangle?</h3>

For a rectangle of length L and width W, the diagonal is:

D = \sqrt{L^2 + W^2}

Here we know that the diagonal is 169m.

And the ratio of the length to the width is 12:5

This means that:

W = (5/12)*L

Replacing all that in the diagonal equation:

169 = \sqrt{((5/12)^2*L^2 + L^2} \\\\169^2 = (25/144)*L^2 + L^2 = ( 25/144 + 1)*L^2\\\\\frac{169}{\sqrt{25/144 + 1} } = L = 156

So the length is 156 meters, and the width is:

W = (5/12)*156 m = 65m

Finally, the perimeter is:

P = 2*(L + W) = 2*(156 m + 65m) = 442m

If you want to learn more about rectangles:

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1 year ago
A local university wanted to understand what students prefer to eat during finals. They asked 1000 students, "Do you prefer chic
olga55 [171]

Answer:

P(\text{Pizza}\ |\ \text{Female})=0.225

Step-by-step explanation:

The two-way frequency table is attached below.

We have to calculate the probability of, a person chosen at random prefers pizza given that they are female, i.e P(\text{Pizza}\ |\ \text{female})

This is a conditional probability.

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From the table,

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P(\text{Pizza}\ |\ \text{Female})=\dfrac{P(\text{Pizza}\ \cap\ \text{Female)}}{P({\text{Female}})}=\dfrac{\frac{119}{1000}}{\frac{530}{1000}}=0.225

8 0
2 years ago
Which expression is equivalent to -1/2 (3- 2/5) ?
Pani-rosa [81]

Answer: The answer is -3 1/2 - 1/5

so it's C.

Step-by-step explanation:

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Each sister in the Johnson family owns one of these fish tanks. Each tank is shaped like a rectangular prism. They want to combi
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Answer:

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Step-by-step explanation:

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Since we are COMBINING the fish tanks, we add the volumes.

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In a Black Friday sale, if you buy 5 video games for $ 39.99 each, you get 1 free. After the offer, how much does each video gam
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