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4 years ago

If x2 +8x-4=x2+8, then 2x-3+?

Mathematics

1 answer:

DanielleElmas [232]4 years ago

3 0

Answer: The number 0

x^2 + 8x - 4 = x^2 + 8

8x - 4 = 8 ... subtract x^2 from both sides

8x = 12 .... add 4 to both sides

x = 12/8 .... divide both sides by 8

x = 3/2 ... reduce

x = 1.5 .... convert to decimal form

Now plug x = 1.5 into the expression 2x-3 and simplify

2x-3 = 2*1.5-3 = 3-3 = 0 which is the answer

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Answer choices:

A. a car

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D. a stapler

The answer is C. a rolling pin

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4 years ago

What expressions are equivalent to 7^3 * 7^x

solong [7]

Answer:

The question = (7^3)*(7^x)

When multiplying two exponents with the same base, all you do is add the exponents together and keep the same base

Therefore,

(7^3)*(7^x) = 7^(3+x)

Step-by-step explanation:

7^3+x is the answer

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3 years ago

A storage tank will have a circular base of radius r and a height of r. The tank can be either cylindrical or hemispherical (ha

Neko [114]

Answer:

Volume: $\frac{2}{3}\pi r^3$

Ratio: $\frac{2}{9}r$

Step-by-step explanation:

First of all, we need to find the volume of the hemispherical tank.

The volume of a sphere is given by:

$V=\frac{4}{3}\pi r^3$

where

r is the radius of the sphere

V is the volume

Here, we have a hemispherical tank: a hemisphere is exactly a sphere cut in a half, so its volume is half that of the sphere:

$V'=\frac{V}{2}=\frac{\frac{4}{3}\pi r^3}{2}=\frac{2}{3}\pi r^3$

Now we want to find the ratio between the volume of the hemisphere and its surface area.

The surface area of a sphere is

$A=4 \pi r^2$

For a hemisphere, the area of the curved part of the surface is therefore half of this value, so $2\pi r^2$ . Moreover, we have to add the surface of the base, which is $\pi r^2$ . So the total surface area of the hemispherical tank is

$A'=2\pi r^2 + \pi r^2 = 3 \pi r^2$

Therefore, the ratio betwen the volume and the surface area of the hemisphere is

$\frac{V'}{A'}=\frac{\frac{2}{3}\pi r^3}{3\pi r^2}=\frac{2}{9}r$

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3 years ago

At the Hip-Hop Shop each salesperson receives an 8.5% comission on sales. what would a salesperson earn if she sold $250 in good

Leokris [45]

Answer:

I believe the answer is 21.25

Step-by-step explanation:

8.5% of $250

5 0

3 years ago

Read 2 more answers

You ride an express bus from the center of town to your street. You have two payment options. Option A is to buy a monthly pass

34kurt

Answer:

Step-by-step explanation:

Let x represent the number of miles after which the cost of both options will be the same.

You have two payment options. Option A is to buy a monthly pass for $30 and pay $0.80 per ride. This means that the total amount that you would pay for x miles if you use this option is

0.8x + 30

Option B is to pay $2.30 per ride. This means that the total amount that you would pay for x miles if you use this option is

2.3x

An equation to show after how many rides the cost will be the same would be

0.8x + 30 = 2.3x

2.3x - 0.8x = 30

1.5x = 30

7 0

4 years ago