Answer:
10 miles per hour.
Step-by-step explanation:
Let x represent athlete's walking speed.
We have been given that her jogging rate is 5 mph faster than her walking rate, so athlete's jogging speed would be 
miles per hour.
10 minutes = 1/6 hour.
20 minutes = 1/3 hour
While walking, we will get 
While jogging, we will get 
Since athlete is covering same distance while walking and jogging, so we can equate both expressions as:
Cross multiply:
Therefore, athlete's walking speed is 5 miles per hour.
Jogging speed: 
Therefore, athlete's jogging speed is 10 miles per hour.
Answer:
See below for answer
Step-by-step explanation:
The radius of the sphere is 5 inches. Correct?
Formula for the volume of a sphere is 4/3πr³
V = 4/3 · π · r³
V = 4/3 · π · 5³
V = 4/3 · π · 125
V = 4/3 · 125 · π
V = 500 /3 · π
V = 523.3 cubic inches Using π = 3.14
if using π on the calculator then V = 500/3 ·π = 523.6cubic inches
Answer:
The measure of DC is 20ft.
Step-by-step explanation:
Because the problem states that BA=AC, AD becomes the bisector of angle BAC. This means that BD and DC must be the same length.
In five quarts, we have 2 quarts of acid and 3 quarts of water
total = (2 + 3) = 5 quarts
concentration = 2 / 5
We want a 30% concentration
total volume = 2 + x
.30 = 2 / (2+x)
.6 + .30 x = 2
.30x = 1.4
x = 4.66666 gallons of water
(or we need to add 1.666666 gallons of water)
Double Check:
acid concentration = 2 / (2 + 4.666666)
acid concentration = .30
