Slope formula:
M= y2-y1
———
X2-x1
Answer:
1 1/8 ga / 13.5 mi = .0833 ga / mi
1 / .0833 ga/mi = 12 mi / ga
or .0833 ga/mi * 13.5 mi = 1.25 ga
<h3>
Answer:</h3>
c. 150 miles
<h3>
Step-by-step explanation:</h3>
You want to find the number of miles (m) that make the charges equal.
... 40 +0.25m = 25 + 0.35m
... 15 = 0.10 m . . . . . . add -25-0.25m
... 150 = m . . . . . . . . . divide by the coefficient of m
For 150 miles, the rental cost will be the same for both companies.
The top question is B. 30, because you have to set 7y-30 equal to 4y+60 since both lengths are the same.
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
