Answer:
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
For this question, we want to find out the greatest amount of area of pizza for the least amount of money:
So we have two pizzas with a 10 in. diameter. Let us take one of those pizzas.
The formula for area of a circle is

; So the area for one of these 10 in. pizzas would be

or 25

.
We have two of these pizzas, so the total area that we would get with $14 would be 25

*2 or 50

.
For the second case, we have one pizza with a 14 in. diameter.
The area of this pizza will be

or 49

.
So for $15 we can buy 49

worth of pizza.
The best deal would be to buy the two medium pizzas of 10 inch diameter, because for $14, you get 50

.
Answer:
Additive inverse : j(x) = -x + 24
Multiplicative inverse : k(x) = 1/x-24
Step-by-step explanation:
I literally have no idea how, I got this answer off of quizlet :) have a good day.
Step-by-step explanation:
∑k=150(3k+2)
First find a1 and a50 :
a1=3(1)+2=5a20=3(50)+2=152
Then find the sum:
Sk=k(a1 + ak)2S50=50(5 + 152)2=3925