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storchak [24]
3 years ago
8

A 400 gallon swimming pool is being drained. After three hours, 250 gallons have been drained. If the rate of drainage continues

, how long will it take to drain the pool?
A.1.875 hours
B. 4.8 hours
C. 5.2 Hours
D. 33,333.33 hours
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
8 0
If you would like to know how long will it take to drain the pool, you can calculate this using the following steps:

3 hours ... 250 gallons
x hours = ? ... 150 gallons (= 400 - 250)

3 * 150 = 250 * x
x = 3 * 150 / 250 
x = 1.8 hours

3 hours + 1.8 hours = 4.8 hours

The correct result would be B. 4.8 hours.
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What is the sum of the arithmetic sequence 3, 9, 15…, If there are 34 terms?
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Answer:

first we find the common difference.....do this by subtracting the first term from the second term. (9 - 3 = 6)...so basically, ur adding 6 to every number to find the next number.

we will be using 2 formulas....first, we need to find the 34th term (because we need this term for the sum formula)

an = a1 + (n-1) * d

n = the term we want to find = 34

a1 = first term = 3

d = common difference = 6

now we sub

a34 = 3 + (34-1) * 6

a34 = 3 + (33 * 6)

a34 = 3 + 198

a34 = 201

now we use the sum formula

Sn = (n (a1 + an)) / 2

S34 = (34(3 + 201))/2

s34 = (34(204)) / 2

s34 = 6936/2

s34 = 3468 <=== the sum of the first 34 terms:

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This question has a L=10, B= 6 and H=4 .

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