To find the volume of the picnic cooler, you multiply the three dimensions together.
(2 ft)(3 ft)(1 1/2 ft)
= (2 ft)(3 ft)(3/2 ft)
= 9 ft^3
The volume of the picnic cooler is 9 ft^3~
The ratio of the amount of time spent doing homework to the amount of time spent watching TV is 1/12.
- The time spent on doing the homework is 15 minutes.
- The time spent watching television is 3 hours.
- To calculate the ratio, we must have the same units for both quantities.
- We have to convert the time spent watching television from hours to minutes.
- 1 hour is 60 minutes.
- 3 hours has 3*60 minutes.
- 3 hours have 180 minutes.
- So, the time spent watching television is 180 minutes.
- The ratio of the amount of time spent doing homework to the amount of time spent watching TV is 15/180.
- We need to simplify the fraction.
- 15/180 is equal to 1/12.
- Thus, the ratio of the amount of time spent doing homework to the amount of time spent watching TV is 1/12.
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Answer:
3) Midpoint is (-4,0.5)
Option A is correct.
4) Midpoint is (2.5,0)
Option B is correct.
5) The factors are (x+4)(x-7)
Option C is correct.
6) The factors are (x+4)(x+2)
Option A is correct.
Step-by-step explanation:
Question 3
Find midpoint of the following:
(2,-7), (-10,8)
The formula used to find midpoint is: 
We have 
Putting values and finding midpoint

So, Midpoint is (-4,0.5)
Option A is correct.
Question 4
Find midpoint of the following:
(2,-10), (3,10)
The formula used to find midpoint is: 
We have 
Putting values and finding midpoint

So, Midpoint is (2.5,0)
Option B is correct.
Question 5
Factor each completely

We will break the middle term and find factors

So, the factors are (x+4)(x-7)
Option C is correct.
Question 6
Factor each completely

We will break the middle term and find factors

So, the factors are (x+4)(x+2)
Option A is correct.