Angelica had 8 more pairs of shoes than her mom. Together they have 30 pairs of shoes. How many pair of shoes does each one have

The answer to your question is Angelica 19, her mom = 11

Step-by-step explanation:

Data

Angelica has 8 more than her mother

total number of shoes = 30 pairs

The Number of pairs Angelica has = a = ?

The Number of pairs her mother has = m = ?

Process

1.- Write two equation that help to solve this problem

        a = m + 8                    Equation l

        a + m = 30                  Equation ll

2.- Solve the system of equations by substitution

Substitute equation l in equation ll

       (m + 8) + m = 30

-Solve for m

        m + 8 + m = 30

        2m = 30 - 8

        2m = 22

          m = 22/2

          m = 11

3.- Find a

          a = 11 + 8

          a = 19

4.- Conclusion

 Angelica has 19 pairs of shoes and her mom has 11

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

step-by-step explanation:

bob the banana