geno3141

If you divide this by using long division, you will get a quotient of 3x² + 4x + 5 and a remainder of (a + 20)x + (b + 25).

Therefore a = -20  and  b  =  -25.

The appropriate formula is  n(n - 3)/2  where n is the number of sides:

--->     7(7 - 3)/2  =  7(4)/2  =  14

This is a binomial distribution: one formula for solving this problem is:

  ₁₅C₁₁·(.86)¹¹·(.14)⁴ + ₁₅C₁₀·(.86)¹⁰·(.14)⁵ + ₁₅C₉·(.86)⁹·(.14)⁶  + ... + ₁₅C₁·(.86)¹·(.14)¹⁴ + ₁₅C₀·(.86)⁰·(.14)¹⁵

I'll let you calculate this (there is a simpler way).

The parabola that has a minimum value at (2, 10)  is:  y - 10  =  2(x - 2)²

Multiplying this out:                                                       y - 10  =  2(x² - 4x + 4)

                                                                                      y - 10  =  2x² - 8x + 8

                                                                                            y  =  2x² - 8x + 18

So:  c = 18

The prime factorization of 10,000  =  5 x 5 x 5 x 2 x 2 x 2 x 1      (using 7 digits).

So the 7 digit possibilities are  5 x 5 x 5 x 2 x 2 x 2 x 1

a)  5 x 5 x 5 x 2 x 2 x 2 x 1

b)  5 x 5 x 5 x 4 x 2 x 1 x 1

c)  5 x  5 x 5 x 8 x 1 x 1 x 1

There are  7! / (3! x 3!)  =  140 ways to do part a.

There are  7! / (3! x 2!)  =  420 ways to do part b.

There are  7! / (3! x 3!)  =  140 ways to do part c.

Adding, there are 700 ways.

I'm not sure that I have interpreted your writing correctly, but:

If Gregory has 2/3 rds of an entire pizza and if he gives 1/4 th of an entire pizza to Marlene,

then he has given (1/4) / (2/3)  =  (1/4) · (3/2)  =  3/8 of his partial pizza to Marlene.

There are 5 integers.

If you solve these 5 equations, you will get the 5 integers.

1)  n - 2  =  2n

2)  n - 2  =  n/2

3)  n + 2  =  2n 

4)  n + 2  =  n/2

5)  2n  =  n/2

3)  

18 cm on a blueprint, with a scale of 3 cm to 4 ft, represents 24 ft.    (18 / 3  =  6  and 6 x 4  =  24)

The area =  pi · r².

If the diameter is 24 feet, its radius is 12 ft.

Area  =  pi · 12²  =  452.4 square feet.

The two smallest primes greater than 20 are 23 and 29.

The product of 23 and 29 is ...