It takes 0.15625 minutes to paint 1 square feet
<em><u>Solution:</u></em>
Given that, I can paint 96 sq ft in 15 minutes
To find: Time taken to paint 1 square feet
From given,
96 square feet is painted in 15 minutes
Let "x" be the time taken to paint 1 square feet
Then, we can say,
96 square feet = 15 minutes
1 square feet = x minutes
This forms a proportion and we can solve the sum by cross multiplying
Thus it takes 0.15625 minutes to paint 1 square feet
The 24th term is 152
Step-by-step explanation:
The formula of the nth term of an arithmetic sequence is:
, where
The third term means n = 3
∵
∴
∵ = 5
- Equate the right hand sides of the third term
∴ a + 2d = 5 ⇒ (1)
The fifth term means n = 5
∵
∴
∵ = 19
- Equate the right hand sides of the fifth term
∴ a + 4d = 19 ⇒ (2)
Now we have a system of equations to solve it
Subtract equation (1) from equation (2) to eliminate a
∴ 2d = 14
- Divide both sides by 2
∴ d = 7
- Substitute the value of d in equation (1) to find a
∵ a + 2(7) = 5
∴ a + 14 = 5
- Subtract 14 from both sides
∴ a = -9
The twenty fourth term means n = 24
∵ a = -9 and d = 7
- Substitute the values of a and d in the formula of the nth term
∴
∴
∴
∴
The 24th term is 152
Learn more:
You can learn more about the arithmetic sequence in brainly.com/question/7221312
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