Max ran a race that was 6 miles long. he ran 1/3 of a mile in 1/6 of an hour. he ran at the same pace entire time. how many hours did it take him to run the race?

It took Max 3 hours to run the race

Step-by-step explanation:

Step 1

The expression for the speed at which max runs can be given as;

S=D/t

where;

S=speed in miles per hour

D=distance traveled in miles

t=time taken

In our case;

S=unknown

D=(1/3) of a mile=1/3 miles

t=1/6 hours

replacing;

S=(1/3)÷(1/6)=(1/3)×(6/1)=2 miles per hour

The speed Max runs=2 miles per hour

Step 2

Calculate the remaining distance to complete the race as shown;

Remaining distance=Total distance-distance already covered

where;

Total distance=6 miles

distance already covered=1/3 miles

replacing;

Remaining distance=6-(1/3)=5 2/3 miles

Step 3

The expression for the total time he takes to finish the race is given as;

Time=Distance/speed

where;

Distance=6 miles

speed=2 miles per hour

replacing;

Time=6/2=3 hours

It took Max 3 hours to run the race

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.