Answer:
4.43 inches
Step-by-step explanation:
The volume of the hot tub is
V = l*w*h
We are given the volume in gallons which we need to convert to cubic inches
1 gallon = 231 in^3
350 gallons *231 in ^3/1 gallon = 80850 in ^3
Substituting in what we know, we can find the height of the tub
80850 = 76*60 *h
17.76026316 is the height of the tub
If the tub is 1/4 full
We take 1/4 of the height
1/4 * 17.76 = 4.432565789
The approximate height of the water is 4.43 inches
Answer:
5 and 25
Step-by-step explanation:
let the son's age be x then the father's age is x + 20
In 5 years
son = x + 5 and father = x + 20 + 5 = x + 25
Then
x + 25 = 3(x + 5) ← father is three times as old as son
x + 25 = 3x + 15 ( subtract x from both sides )
25 = 2x + 15 ( subtract 15 from both sides )
10 = 2x ( divide both sides by 2 )
5 = x and x + 20 = 5 + 20 = 25
si=on is 5 and father is 25
Let's assume that Kirby walks with a speed

for a time

, and that he runs with a speed

for a time

.
The total time available for Kirby to catch the train is:

and this must be equal to the sum of the two times t1 and t2:
The distance Kirby should cover is

and this should be equal to the sum of the distances covered by walking and by running:

So we have a system of 2 equations:


If we solve the system, we find:


So, Kirby needs to run at least for 8 minutes in order to catch the train.
Answer:
y>0
Step-by-step explanation:
This is because no matter what x-value you enter, the fact that it's an even exponent will make the y-value always positive. And regardless of the 4 in the exponent, you can still have values less than 4 (but still positive).
The answere is 24 ways ( 4 × 3 × 2)