Okay so, togo flies 30 miles in 3/5 of an hour with the wind.togo flies 30 miles in 5/6 of an hour against the wind. his rate of speed with the wind was 30 / (3/5) = 30*5/3 = 150/3 = 50 mph.his rate of speed against the wind was 30 / (5/6) = 30*6/5 = 6*6 = 36 mph.3/5 of an hour times 50 mph = 30 miles.
5/6 of an hour times 36 mph = 30 miles.mph looks good.
going he was with the wind.
his rate of speed then was the airplane speed plus the wind speed.coming back he was against the wind.his rate of speed then was the airplane speed minus the wind speed.-----50 mph = A + W36 mph = A - W-----looks like A + W - (A - W) should equal 50 - 36.removing parentheses, equation becomesA + W - A + W = 14.
combining like terms, the equation becomes2*W = 14.dividing both sides by 2, equation becomesW = 7.if W = 7, then A can be found as follows:50 = A + 7A = 43.likewise,36 = A - 7A = 43.since the airplane speed is the same, it looks like the answer is good.solving in the original equations, we get3/5 * (43 + 7) = 303/5 * 50- = 3030 = 30good.-----5/6 * (43 - 7) = 305/6 * 36 = 3030 = 30good.
answer is W = 7 and A = 43.
Answer:
the numerator is 31 and the bottom is 8
Step-by-step explanation:
Leah, she ran farther by 1/21
How you get the answer:
5/7
Multiply 7x3 to get the denominator and do the same to the numerator 5x3! Which is 15/21
To get 21 from 2/3 is to multiply 3x7 (denominator) and 2x7 (numerator) to get 14/21
15/21 > 14/21 so Leah ran farther by 1/21
Answer:
(S+7)/4 = T
Step-by-step explanation:
S=4T-7
We want to solve to T
Add 7 to each side
S+7=4T-7+7
S+7 = 4T
Divide each side by 4
(S+7)/4 = 4T/4
(S+7)/4 = T
Answer:
p : q : r = 10 : 4 : 3
Step-by-step explanation:
Expressing the ratio in fractional form
=
( cross- multiply )
4r = 3q ( divide both sides by 4 )
r =
q =
× 2 = 
Then
p : q : r
= 5 : 2 :
( multiply all parts by 2 )
= 10 : 4 : 3