B = block p = park
2b + p = 10 min 2 runs around the block takes 10 minutes
2b + 3p = 22 min 2 runs around the block plus 3 runs around the park takes 22 minutes
To solve, I will use substitution. First, I will divide the first equation by 2 to get b by itself and subtract p from both sides to get b by itself. Then, substitute 5 - 1/2p in for b in the second equation because they have equal values. Then, subtract 10 from both sides to eliminate it. Divide by 2 to both sides to get 'p' by itself.
2b + p = 10 min ---------→b + 1/2p = 5 ----------→ b = 5 - 1/2p
2(5 - 1/2p) + 3p = 22 ---------→ 10 -p + 3p = 22 --------→ 10 + 2p = 22
10 + 3p = 22 ----------→ 2p = 12
2p = 12 -------------→ p = 6
It takes 6 minutes to jog around the park
Hope this helps!
Answer:
# of 20cent stamps = 8
Step-by-step explanation:
Let the number 20cent stamps be = x
Let the number 60 cents stamps be = y
Total number of stamps => 20 = x + y ----------- ( 1 )
Total cost of the stamps = 8.80
That is, 0.20x + 0.60y = 8.80 ------------- ( 2 )
( 2 ) => 20x + 60y = 880
=> x + 3y = 44
=> x = 44 - 3y
Substitute x in ( 1 ) => x + y = 20
44 - 3y + y = 20
- 2y = 20 - 44
- 2y = - 24
2y = 24
y = 12
Substitute y = 12 in ( 1 ) => x + y = 20
x + 12 = 20
x = 8
8a + a - 3 = 6a - 2a - 3
1. Add the a's on both sides:
9a - 3 = 4a - 3
2. Shift 4a to the left and -3 to the right of the equals sign (this changes their signs):
9a - 4a = -3 + 3
3. Simplify:
5a = 0
So a = 0
Answer:
i almost feel bad-
Step-by-step explanation:
Hello from MrBillDoesMath!
Answer:
(g o f)(0) cannot be evaluated
Discussion:
(g o f)(0) = g ( f(0)) if it exists but f(0) is not defined (as division by zero is not defined) so
(g o f)(0) cannot be evaluated
Thank you,
MrB
