MATHEMATICS
MIDDLE SCHOOL

Answer: B=s-15 b=boots, s=shoes

2b+3s=120

2(s-15)+3s=120

2s+3s-30=120

5s=150

s=30$. b=s-15

b=15$

2b+3s=120

2(s-15)+3s=120

2s+3s-30=120

5s=150

s=30$. b=s-15

b=15$

MIDDLE SCHOOL

In your notebook, set up the following addition using a vertical format and find the sum of the given polynomials. 7b + 3, -4b + 5, and -3b + 2

Answer:

10

Step-by-step explanation:

Let's write the given polynomials in vertical form and add them.

7b + 3

-4b + 5

-3b + 2

------------ [ 7b - 4b - 3b = 7b - 7b [-3b - 4b = -7b]

0b + 10 = 0b]

3 + 5 + 2 = 10

Therefore, the sum of the polynomial is 10.

Thank you.

Wouldn’t it be b+10 ?

HIGH SCHOOL

Five friends are going to the theater. They have purchased a row of five seats with an aisle on either end. James doesn't want to sit next to Jill Betty and Herb are dating and want to sit next to each other Bob must sit on an aisle Provide a seating order that conforms to the above rules. An example of an invalid seating order is: James, Betty, Herb, Bob, Jill The above arrangement is invalid because: Bob is not sitting on an aisle. Specify the seating order as the names separated by s (as in the above example). Please be sure to spell the names correctly, including capitalization.

Answer:

Bob, Jill, Betty, Herb, James

MIDDLE SCHOOL

How to simplify 40 over 2

Just like simplifying any other fraction.

Divide the top number and bottom number

by their greatest common factor.

The greatest common factor of 40 and 2 is 2 .

Divide the top number and bottom number

by their greatest common factor.

The greatest common factor of 40 and 2 is 2 .

COLLEGE

Solve each quadratic equation. Show your work. 14. (2x – 1)(x + 7) = 0 15. x^2 + 3x = 10 16. 4x2 = 100

14.)

2x(x + 7) -1(x + 7) = 2x² + 14x - x - 7 = 2x² + 13x - 7 ...//Ans ...

15.)

x² + 3x - 10 = x² + 5x - 2x - 10 = x(x + 5) -2(x + 5) = (x - 2) (x + 5) ...//Ans ...

16.)

4x² = 100

x² = 100 ÷ 4 = 25

x = √25 = 5 ...//Ans ...

2x(x + 7) -1(x + 7) = 2x² + 14x - x - 7 = 2x² + 13x - 7 ...//Ans ...

15.)

x² + 3x - 10 = x² + 5x - 2x - 10 = x(x + 5) -2(x + 5) = (x - 2) (x + 5) ...//Ans ...

16.)

4x² = 100

x² = 100 ÷ 4 = 25

x = √25 = 5 ...//Ans ...