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30% of 60% is 18%

10% of 40% is 4%

18%+4%=22%

22/100

11/50

I have a maybe simpler method:

Add the amount of people with cool parents(27) and subtract the number of people with both(9) to get 18 people with cool parents and 12 people have no cool parents

The largest 2-digit integer, both distinct, which divides both its digits = 48

You can't prove CAD is a right triangle because CD is not the diameter.

30 set of parents

9 sets of both cool dads and cool moms

12 have cool dads

     --  subtract out the 9 that also have cool moms and you get 3 cool dads that aren't married to cool

            moms

15 have cool moms

     -- subtract out the 9 that also have cool dads and you get 6 cool moms that aren't married to cool dads

9 have both cool dads and cool moms

3 have cool dads but uncool moms

6 have cool moms but uncool dads

This leaves 30 - 9 - 3 - 6  =  12 that have both uncool moms and uncool dads

The formula for the area of a circle is  A  =  pi · r²   

10-inch pizza:  A  =  pi · 10²  =  100pi  =  314.159  (approximately)

12-inch pizza:  A  =  pi · 12²  =  144pi

Increase in size:  144pi - 100pi  =  44pi  =  138.230  (approximately)

Percent increase:  amount of increase divided by original amount (the 10-inch pizza) times 100

     =     138.230 / 314.159 x 100  =  44%

Let  c  be the cost of renting 1 chair.

Let  t  be the cost of renting 1 table.

     2c + 5t  =  45.00   --->  multiply by 4     --->   8c + 20t  =  180.00

     8c + 3t  =  44.00   --->   multiply by -1   --->  -8c  -   3t  =  -44.00

Add down the columns:                                               17t  =  136.00

Divide by 17:                                                                   t  =  8.00

Substitute this value into  2c + 5t  =  45.00   --->   2c + 5(8.00)  =  45.00

                                                                                 2c + 40.00  =  45.00

                                                                                              2c  =  5.00

                                                                                                c  =  2.50

Thanks so much for your answers

But I will really appreciate if you can explain how you got the answers, so that I can understand where I went wrong.

THANKS

With Much Love

-C

An appropriate formula is:  A  =  P·(1 + r)ⁿ

where  A  =  final amount                       =  $15,000.00

            P  =  principal  =  initial amount  =  $7500.00

            r  =  yearly rate, as a decimal     =  0.07

            n  =  number of years                 = 

--->                  15,000  =  7500(1 + 0.07)ⁿ 

--->                           2  =  1.07ⁿ                      (divide both sides by 7500)

--->                    log(2)  =  log(1.07ⁿ)               (because the unknown is in the numerator, take the log of

                                                                               both sides)

--->                    log(2)  =  n·log(1.07)              (property of logs)

--->   log(2) / log(1.07)  =  n                             (divide both sides by log(1.07))

If you finish this, you will have your answer.

Let  t  be the ten's digit of the original number and  u  be the unit's digit of the original number.

This means that the original number is  10·t + u.

Reversing the digits, the new number is  10·u + t

Adding these numbers together, we get a sum of 77:  (10t + u) + (10u + t)  =  77

Simplifying:                                                                                    11t + 11u  =  77

Dividiing each term by 11:                                                                     t + u  =  7

Subtracting these numbers, we get a difference of 45:  (10t + u) - (10u + t)  =  45

Simplifying:                                                                                         9t - 9u  =  45

Dividing each term by 9:                                                                         t - u  =  5

Combining these two equations:            t + u  =  7

                                                                t - u  =  5

Adding down the columns:                         2t  =  12

Divide by 2:                                                  t  =  6

Substituting back into the equation  t + u  =  7   --->   6 + u  =  7   --->   u  =  1

You'll need to write the two numbers ...

Let           x  =  pounds of the coffee worth $1.92 per pound

then  30 - x  =  pounds of the coffee worth $2.72 per pound

   cost x amount  +  cost x amount  =  final cost x final amount

                  1.92·x  +  2.72·(30 - x)  =  2.24·(30)

                    1.92x + 81.60 - 2.72x  =  67.20

                                 81.60 - 0.80x  =  67.20

                                            -0.80x  =  -14.40

                                                    x  =  18 pounds of coffee worth $1.92 per pound

Now, you will need to find the number of poiunds of he coffee worth $2.72 per pound.

Amount earned  =  hours x dollars per hour.

You:        (t - 6)(2t - 5)  =  2t² - 17t + 30

Andrew:  (2t - 8)(t - 5)  =  2t² - 18t + 40

Since the two of you earned the same amount, set these equations equal to each other:

                                            2t² - 17t + 30  =  2t² - 18t + 40

Subtract 2t² from both sides:     -17t + 30  =  -18t + 40

and, continue solving ...

You can draw AC and AD, which gives you a right triangle.  The radius of the circle is then sqrt(26).

Those aren't consecutive!

Numbers that digits sum to 8: 8, 17, 26, 35, 44, 53, 62, 71, 80.

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96

The answer is 71 and 72.

Hope this helps, 

~Mosspelt6 

You are missing some numbers...

XD

Ohhh! Thank you I never though of that way!! Ha you did very gud! Ur gunna eventually have tons of likes!

The quesion is not clear, so I cannot help you.

44, 56

Those answers were incorrect. Do you have any other methods?

1. By power of a point, the radius is 3*sqrt(2).

2. By power of a point, CM = 4*sqrt(3).