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2 years ago

Solve the equation. Explain or show your reasoning. 1/2 x -7 = 1/3 (x-12)

Mathematics

1 answer:

Dafna11 [192]2 years ago

6 0

Answer:

x = 18

Step-by-step explanation:

1: 1/2x - 7 = 1/3x - 4

2: 3/6x - 7 = 2/6x - 4

3: 3/6x = 2/6x + 3

4: 1/6x = 3

5: x = 18

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ki77a [65]

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2 years ago

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3 years ago

Select the correct answer. Each statement describes a transformation of the graph of

Sever21 [200]

Answer:

The correct answer is d.

Step-by-step explanation:

Let's solve each answer and see which one matches.

Note that in each case, you simply add or subtract from x inside the radical to move left or right respectively. Similarly, just add or subtract to the full expression to move up or down respectively. Doing so we get:

a) $f(x) = \sqrt[3]{x + 7} + 3$

b) $f(x) = \sqrt[3]{x - 3} - 7$

c) $f(x) = \sqrt[3]{x - 3} + 7$

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So d is the correct answer.

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2 years ago

You are putting a rectangular hot tub on your back porch. It is 6 feet long, 5 feet wide, and 3 feet deep. How much will it cost

igor_vitrenko [27]

Answer:

$Cost=\$3.66234\approx \$3.67$

Step-by-step explanation:

$Height\ of\ tub=3\ feet\\\\Length\ of\ tub=6\ feet\\\\width\ of\ tub=5\ feet\\\\Volume=Length\times Width\times Height\\\\Volume=6\times 5\times 3=90\ feet^3$

$1\ feet^3=7.48052\ gallons\\\\90\ feet^3=90\times 7.48052=673.2468\ gallons$

$cost\ of\ 1000\ gallons=\$5\\\\cost\ of\ 1\ gallons=\$ \frac{5}{1000}\\\\cost\ of\ 673.2468\ gallons=\$ \frac{5}{1000}\times 673.2468=\$3.366234$

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2 years ago

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dsp73

Answer: 14.6

Step-by-step explanation:

I made a square around the triangle which I then counted the squares, found the Pythagorean theorem, and then added the missing sides together

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2 years ago