I have two math question and was wondering if someone can help me?

Question

1. If arizona is 114,000 square miles, which accounts for 3.07% of the United States. How big is the united states? How did you do this?

2. If a computer cost $1750.00 and the tax was 8.05% how much is the tax?

Answer 1

You start by setting up the following equation:

114,000 = 3.07%*x, where x is the area of the U.S.

3.07% can be rewritten as .0307, so now your equation is
114,000=0.0307*x.

Solving for x (dividing both sides by 0.0307) yields:
x = 3,713,355 square miles.

2. You want to find 8.05% of $1750. In this case, the equation is
x = 0.0805*1750

x = 140.875, so your tax is $140.88

I hope this was helpful.

Answer 2

Find out how many times 3.07 goes into 100, and then multiply that number by the 114,000, I think.

And number two.
Move the decimal to the left two places on the 8.05%.
This gives you .0805
Multiply that by $1750.00.

Answer 3

Think of it like this:
The USA = 100%
Arizona = 3.07%
These two can be expressed as:
Arizona x 100% = The USA x 3.07%
OR: Arizona x 100% divided by 3.07% = The USA
The USA = 114,000 times 1 divided by 0.0307

The second question is even easier:
$1750 times 0.0805 = your answer.

Answer 4

1. 114,000 = 3.07%(x)
114,000 = .0307x
114,000/.0307 = x
x = 3,713,355 square miles

2. To find the tax amount, multiply the cost by the tax percent. So,

$1750 x 8.05% =
$1750 x .0805 = 140.875, or $140.88

Answer 5

Hi,

Problem 1.

Okay, so we know that 3.07% is equal to .0307. Now, some number times .0307 is equal to 114,000.

or

x ·.0307 = 114,000

Now we just divide each side by .0307 to get x:

x = 114000 / .0307 = 3713355.049

So, our answer is 3,713,355.049 square miles.

Problem 2:

I assume here that price of the computer is $1750, and you want to know how much tax you have to pay.

$1750.00 X .0805 = $140.87

Answer 6

1. Solve this with ratios. Arizona / US = 3.07% = 3.07/100

So US = Arizona * 100/3.07

2. Total price = price plus tax = price + (price * 8.05%)= price *(1+ 8.05/100)

Now just solve for the price.

Answer 7

1) It's just translation. The verb "accounts for" is the =, and "of" is always multiplication:

114000 accounts for 3.07% of US
114000 .... = ........... 3.07% x U
114000 = 0.0307 U
114000 / 0.0307 = U
3,713,355 = U



2) tax is 8.05% of 1750
T = 0.0805 x 1750
T = 140.88

Answer 8

Let x = area of USA
then 114000 = .0307x
x = 11400/.0307 = 3,713,355.049 miles^2

1750*.0805 = =$140.88