Answer:
O The value of x is less than 16.
Step-by-step explanation:
Do the actual work: solve for x:
Divide both sides by 107.06:
16
x < -------------- = 0.149 This does not agree well with any of your answer
107.06 choices. If I had to choose one answer, it'd be the
first one, since "the value of x is less than 16" is
certainly true.
The volume of the original prism is given by:
V1 = (10) * (2) * (h)
rewriting:
V1 = 20h
Where,
h: height
The volume of the second prism is given by:
V2 = (5) * (w) * (h)
We know that the height is the same.
As the volume is the same then:
(5) * (w) * (h) = 20h
Clearing w we have:
w = (20/5) = 4 cm
Answer:
The width, in centimeters, of the new prism is:
w = 4cm
Answer:
28 < x < 114
Step-by-step explanation:
- x cannot be larger than or even equal to 71 + 43 = 114. So it must be less than 114.
- But there are limits on the other end as well. 43 +x > 71, otherwise you won't have a triangle. so you have to solve that inequality as well
- 43 + x > 71 Subtract 43 from both sides.
- 43-43 + x > 71 - 43
- x > 28
- To put this in the form of the answer you need it looks like this.
- 28 < x < 114
Answer:
16 minutes
Step-by-step explanation:
Because the tank already holds 5 gallons of water, you only need to find the number of minutes to fill 4 gallons of water.
Because it fills at a rate of 1/4 gallons a minute, it takes 4 minutes per gallon of water.
Since we are dealing with 4 gallons of water to be filled, we multiply 4 · 4 to get the number of minutes.
4 · 4 = 16
16 minutes
