geno3141

-20 / (-8/3)    =   -20 x 3/-8    -60 / -8    = 15 / 2    or   7.5

When dividing by a fraction, multiply using the reciprocal.

Function notation uses 'f(x)' in place of 'y'.

First solve the equation for y and then replace the 'y' with 'f(x)'.

For this problem:

Solve for y:      2x - 8y = -8

Remove the 2x from the left side by subtracting 2x from both sides:

                       2x - 2x - 8y = -8 - 2x

                                  - 8y = -8 - 2x

Remove the -8 from the left side by dividing both sides by -8:

                                -8y / -8y = (-8 - 2x) / -8

                                           y = (-8 - 2x) / -8

Then replace the 'y' with 'f(x)':

                                          f(x) = (-8 - 2x) / -8

This can be simplified:  ( -8 - 2x ) / -8    =   -8 / -8 - 2x / -8    1 + ¼x

                                         f(x) =  ¼x + 1   

If th problem is to enter parantheses, try this:

2*(4-1)^2 -10

which evaluates to: 2*(3)^2 - 10

                             2*(9) - 10

                             18 - 10 = 8

3 x 10^18 % = 3 * 10 ^ 16 (as a decimal)     ≈    10 ^ 16 

8 x 10^29   ≈    10^30

(10 ^ 30) ^ 10 000 000 ≈ 10 ^ 300 000 000 

(10 ^ 16) * (10 ^ 300 000 000)  =  10 ^ 300 000 016    ≈   10 ^ 300 000 000

A ratio can be expressed as a fraction.

Using 'g' to represent the number of girls and 'b' to represent the number of boys, the ration of boys to girls is b / g.

The ratio of boys to girls is 2:7 becomes:     b / g = 2 / 7

Since there are 250 more girls than boys:     g = 250 + b

Substituting the second equation into the first:     b / (250 + b) = 2 / 7

Cross multiply:      b · 7 = 2 · (250 + b)

Multiply out:          7b = 500 + 2b

Subtract:              5b = 500

Divide:                   b = 100             --->    g = 250 + b     --> g = 250 + 100     --->   g = 350

Check:      b / g = 2 / 7     --->     100 / 350  does reduce to 2 / 7.

You can calculate how much money the car lot took in ($31,137 + $10,507). 

However, how much it "made", after deducting what it originally paid for the cars plus all the other expenses can't be calculated from the problem.

Multiplying by 10^8 results in moving the decimal point 8 places to the right.

Since you already have 3 decimal places, you will need to add another 5 places, thus append 5 zeroes.

Therefore, the answer is 149600000.

Counting from the left side, the first 4 digits are 1265.

Check to see if the last digit should be a 5 or a 6.

Since the next digit is a 5, round the previous 5 up to 6.

The correct answer is 12.66.

There are 10! (10 factorial which is 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) ways to choose ten items.

Only one of these ways is alphabetical, all the others aren't, so there are 10! - 1 ways that are not alphabetical.

(OK, one of these ways is reverse alphabetical, so do you want to count that as alphabetical also? )

This answer assumes that no names are duplicated.