Answer:
24
Step-by-step explanation:
Let the number of mangoes owned by Tulsa be T and that by Julie be J
If Tulsa has 4 times as many mangoes as Julie then
T = 4J
Tulsa bought 6 more mangoes. She now has 5 time as many mangoes as Julie
T + 6 = 5J
Solve both equations simultaneously by substitution
4J + 6 = 5J
Collect like terms
6 = 5J- 4J
J = 6
Since
T = 4J
T = 4 * 6
= 24
Hence Tulsa had 24 mangoes at first
Answer:

Step-by-step explanation:
Let the time flown by the flying carpet be
. Then, we have that
.
We multiply both sides of the equation by
to get
.
We subtract
from both sides to get
.
We divide both sides of the equation by
.
We know that the speed of the flying carpet in still wind is the average of the rates of the speed of the flying carpet with the wind and against the wind.
The speed with wind is
mph.
The speed against wind is
mph.
The speed in still wind is
.
Therefore, the answer is
and we're done!
Answer:
25/64
Step-by-step explanation:
ratio of perimeters = 15/24 = 5/8
ratio of areas = square of ratio of perimeters
ratio of areas = (5/8)^2 = 25/64