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QveST [7]
3 years ago
11

The senior class at high school A rented and filled 3 vans and 6 buses with 306 students. High school B rented and filled 1 van

and 3 buses wit 144 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.
Mathematics
1 answer:
musickatia [10]3 years ago
7 0

Answer:

8 students in each van ~ 22 in each bus

Step-by-step explanation:

- Equations:

8v + 8b = 240

4v + b = 54

------

- Modify:

8v + 8b = 240

8v + 2b = 108

------

- Subtract and solve for "b":

6b = 132

b = 22 (# of students in each bus)

-----

- Solve for "v":

4v + b = 54

4v + 22 = 54

4v = 32

v = 8 (# of students in each van)

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Step-by-step explanation:

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3 years ago
(36√6 + 6^5/2 / 108×12)^2=6^n , then find the value of n?
natali 33 [55]

Step-by-step explanation:

<u>Given:</u> [{36√(6) + 6^(5/2)} / (108×12)]² = 6ⁿ

<u>Asked:</u> Find the value of n = ?

<u>EXPLANATION</u><u>:</u>

Given that:

[{36√(6) + 6^(5/2)} / (108×12)]² = 6ⁿ

⇛[{(6)² * (6)^(1/2) * (6)^(5/2}/(36 * 3 * 12)]² = 6ⁿ

⇛[{6² * 6^(1/2) * 6^(5/2)}/(36 * 36)]² = 6ⁿ

⇛[{6² * 6^(1/2) * 6^(5/2)}/(6*6 * 6*6)]² = 6ⁿ

⇛[{6² * 6^(1/2) * 6^(5/2)}/(6² * 6²)]² = 6ⁿ

⇛(6³⁻²)² = 6ⁿ

⇛(6¹)² = 6ⁿ

⇛6² = 6ⁿ

When an exponential has the same base on each side, then the exponents must be equal.

Therefore, n = 2.

<u>Answer</u><u>:</u> The Value of “n” for the given problem is 2.

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2 years ago
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Answer:

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