Answer:
Jack is 6 and Mom is 30
Step-by-step explanation:
J = Jacks age
M = Mom's age
5J = M
In 6 years, so add 6 to the age
3(J+6) = (M+6)
We have a system of 2 equations and 2 unknowns
Lets simplify the 2nd equation
3(J+6) = (M+6)
3J + 18 = M+6
Substituting M =5J
3J + 18 = 5J +6
Subtract 3J from each side
3J-3J + 18 = 5J-3J +6
18 = 2J+6
Subtract 6 from each side
18-6 = 2J+6-6
12 = 2J
Divide each side by 2
12/2 = 2J/2
6=J
Jack is 6
We still need to find Mom's age
M = 5J
= 5*6
=30
Mom is 30
A linear pair is a pair of angles that form a line. And since they form a line, when added, they equal 180.
x = one angle....y = the other one
x + y = 180
x = y + 26
time to sub
y + 26 + y = 180
2y + 26 = 180
2y = 180 - 26
2y = 154
y = 154/2
y = 77 <=== this is one angle
x = y + 26
x = 77 + 26
x = 103 <=== and the other one
<em><u>ANSWER</u></em>
My answer is in the photo above
"Combinations" isn't really the right word, because a combination doesn't take order of elements into account, and the outcome of a race certainly does depend on order. "Permutations" would be the correct term.
If 4 students are competing, then the race has
4! = 4 • 3 • 2 • 1 = 24
possible outcomes.