Pls help The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and I bus with 54 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.

Step-by-step explanation:

If we let v and b represent the seating capacity of vans and buses, respectively, then the two trips can be described by ...

  8v +8b = 240

  4v +b = 54

Dividing the first equation by 8 gives ...

  v +b = 30

Subtracting that from the second equation gives ...

  3v = 24

  v = 8 . . . . . . . . . . . divide by 3

  b = 30 -8 = 22

The number of students in each van is 8; the number in each bus is 22.

the answer would be 44.79

plz mark brainliest

step-by-step explanation:

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt