Answer:
8:02 AM
Step-by-step explanation:
Find out how many minutes it takes to travel one mile:
60 divided by 45= 1.333334 minutes
It takes 1.333334 minutes to travel 1 mile, how long will it take to travel 100 miles:
1.333 times 100 = 133.3334
133.3334 rounds to 133 minutes
Add 15 minutes because you want to arrive early
133+15=148
Divide it by 60
148 divided by 60 = 2.466667
or do
148-120 (2 hours) = 28 minutes
It will take 2 hours and 28 minutes to get there
10:30-2:28= 8:02
First, you have to find what 80% of 15 is. In order to do that you have to change 80% percent to decimal, which would be .80. Then, multiply .80 and 15 to get 12. Subtract 12 from 15 and your answer is 3.
Since
are in arithmetic progression,




and since
are in geometric progression,




Recall that


It follows that

so the left side is

Also recall that

so that the right side is

Solve for
.

Now, the numerator increases more slowly than the denominator, since


and for
,

This means we only need to check if the claim is true for any
.
doesn't work, since that makes
.
If
, then

If
, then

If
, then

There is only one value for which the claim is true,
.
Answer:
61.2
Step-by-step explanation:
Distribute the figure into three shapes. Triangle, and two rectangles.
Find the area.
Answer
30
Step-by-step explanation:
the answer is :
90 - 60 = 30