Answer:
A. M= 20
B. r = 6
Step-by-step explanation:
M=kr³
where k is the constant
M= 160 , r 4
160= k(4)³
k = 160/4³= 2.5
A. when r= 2 , M= kr³
M= 2.5(2)³ = 20
B. when M= 540, find r
M= kr³
r³ = M/k
r³ = 540/2.5
r³= 216
r = 6
Answer:
Infinitely many
Step-by-step explanation:
Answer:
3/8
Step-by-step explanation:
Find the common factor, which is 24. To make the other fractions have a denominator of 24, multiply the denominator and numerator by a factor that will have the denominator get 24 (the multiplied number has to be the same for the top and bottom). 27/24 divided by 3 is 27/24.You will get 1/4=6/24, and 5/6=20/24. 6/24 + 20/24 = 26/24 + 1/24= 27/24. Divide by 3 since there are 3 numbers. Once you are done dividing, you will get 27/72, and 3/8 is the simplified answer.
Step-by-step explanation:

0.0666666666666
Answer:
It takes 1.68 hours to catch up to them.
Step-by-step explanation:
The speed of robber = 71 mph
The speed of police = 78 mph
The police start 10 minutes later
by that time robber would have travelled

10 minutes =0.166667 hours
then the distance = 11.8 mph
Let them meet at distance x from the bank.
time taken by police to reach x , time =
----------------------(1)
time taken by robber in the same time =
---------------(2)
Equating (1) and (2)


71x =78x - 920.4
920.4 = 78x - 71x
920.4 = 7x
x = 131.48
The distance where they catch up with the robber from the bank is 131.48 miles
speed of police = 78 mph
distance = 131.48 miles
time they catch up = 
= 1.68 hours