Answer: it will take 9 hours.
Step-by-step explanation:
The rain is falling at the rate of 1.5 inches per hour. This means that the height of water in the barrel is increasing in arithmetic progression.
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 18 inches
d = 1.5 inches
The expression becomes
Tn = 18 + 1.5(n - 1)
For the number of hours it would take to collect 30 inches of rain in the barrel, Tn = 30
Therefore,
30 = 18 + 1.5(n - 1)
1.5(n - 1) = 30 - 18
1.5(n - 1) = 12
n - 1 = 12/1.5 = 8
n = 8 + 1
n = 9
Answer:
42
Step-by-step explanation:
84 divide 2
answer 42
answer =42
Answer:
10
Step-by-step explanation:
2[45/(11-8)^2]
=2[45/(3)^2]
=2[45/9]
=2[5]
=10
w + 4
------------------------
l l
l l w
l l
------------------------
Perimeter would be the sum of all the sides so: (w+4) + w + (w+4) + w
Perimeter is 60 yards according to your problem so: (w+4) + w + (w+4) + w = 60 yds
1.Simplify/combine like terms:
w + 4 + w + w + 4 + w =
4w + 8 =
Now it's a 2-step algebra equation
4w + 8 = 60
2.Subtract 8 on both sides
4w = 56
3.Divide both sides by 4
w = 14
Answer: 45%
Step-by-step explanation:
Converting the word problem into words, we have:
18= x/100*40
Solving for it, we get that x=45.