HE will need to refill his tank because on his return he will be 6 minles shrt of being back.
Answer:
Step-by-step explanation:
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The inequality
gives the least number of buses, b, needed for the trip. The least number of buses is 9
<u>Solution:</u>
Given that, There are 412 students and 20 teachers taking buses on a trip to a museum.
Each bus can seat a maximum of 48.
We have to find which inequality gives the least number of buses, b, needed for the trip?
Now, there are 412 students and 20 teachers, so in total there are 412 + 20 = 432 travelers
<em><u>The number of buses required “b” is given as:</u></em>


Number of buses required ≥ 9 buses.
But least number will be 9 from the above inequality.
Hence, the inequality
gives least count of busses and least count is 9.
Answer:
x = 28
Step-by-step explanation:
let us take three consecutive numbers be (x + 1), (x + 2) and (x + 3)
Now,
The sum of three consecutive integers is 90
i.e.,
(x + 1) + (x + 2) + (x + 3) = 90
x + 1 + x + 2 x + 3 = 90
3x + 6 = 90
3x = 90 - 6
3x = 84
x = 84/3
x = 28
x = 28Thus, The value of x is 28
<h2>
<em><u>VERIFICATION</u></em><em><u>:</u></em></h2>
(x + 1) + (x + 2) + (x + 3) = 90
(28 + 1) + (28 + 2) + (28 + 3) = 90
28 + 1 + 28 + 2 + 28 + 3 = 90
90 = 90
Replace f(x) with 0 and swith the equation around to solve for x
x^4 - 32x^2 - 144 = 0
Factor the left side:
(x+6) (x-6) (x^2+4)
so far we have x+6 = 0, x = -6
x -6 = 0, x = 6
solve x^2 +4 = 0
x^2 = -4
x = sqrt(-4)
x = 2i, -21
The answer is B) 2i, 6, -6