What Are The Answers To These Questions?

Answers and Step-by-step explanations:

1. "Five more" means + 5, "3 times a number" means 3x (where x is the number). So: 3x + 5

2. "Twice a number" means 2x (where x is the number) and "the quotient of twice a number and 7" means we divide: 2x ÷ 7

3. "10 less than" means - 10 and "than a number" means x - 10 (where x is the number)

4. "The product" means we need to multiply and "the product of -6 and a number" is -6x (where x is the number).

5. "13 more" means + 13 and "13 more than a number" is x + 13 (where x is the number).

6. "25 less than" means - 25 and "one third of a number" means 1/3x (where x is the number). So: 1/3x - 25.

7. "The sum" means we need to add, "a number squared" means (where x is the number), so: x^2 + 14.

8. This means each pound is $18, so: 18x (where x is the number of steaks).

Hope this helps!

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)