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Novay_Z [31]
3 years ago
7

There are 412 students and 20 teachers taking buses on a trip to a museum. Each bus can seat a maximum of 48. Which inequality g

ives the least number of buses, b, needed for the trip? A) b ≥ 12 B) b ≥ 9 C) b ≤ 9 D) b ≤ 12
Mathematics
2 answers:
Vlad1618 [11]3 years ago
6 0

Answer:

Option B. b\geq 9

Step-by-step explanation:

Let

b------> the number of buses

we know that

48b\geq (412+20) -----> inequality that represent the situation

Solve for b

48b\geq 432

b\geq 432/48

b\geq 9

s344n2d4d5 [400]3 years ago
5 0

Answer:

The Answer is B.) b ≥ 9

Step-by-step explanation:

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A football is selling for 1/4 off the original price. The sales price is $24 . What I was the original of the football
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$96

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Need to solve this problem in steps 5(2x+6)=-4(-5-2x)+3x
Dovator [93]

Answer:

Simplifying

5(2x + 6) = -4(-5 + -2x) + 3x

Reorder the terms:

5(6 + 2x) = -4(-5 + -2x) + 3x

(6 * 5 + 2x * 5) = -4(-5 + -2x) + 3x

(30 + 10x) = -4(-5 + -2x) + 3x

30 + 10x = (-5 * -4 + -2x * -4) + 3x

30 + 10x = (20 + 8x) + 3x

Combine like terms: 8x + 3x = 11x

30 + 10x = 20 + 11x

Solving

30 + 10x = 20 + 11x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-11x' to each side of the equation.

30 + 10x + -11x = 20 + 11x + -11x

Combine like terms: 10x + -11x = -1x

30 + -1x = 20 + 11x + -11x

Combine like terms: 11x + -11x = 0

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30 + -1x = 20

Add '-30' to each side of the equation.

30 + -30 + -1x = 20 + -30

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5 0
3 years ago
2x - 2y = 6 3x + 2y = 9 Solve the system of equations. A) x = 0, y = 3 B) x = 3, y = 0 C) x = 1, y = -2 D) x = -2, y = 1 E) x =
son4ous [18]
<h2>Answer:</h2>

There are 2 ways to solve this system: by elimination or by graphing. I will solve it by elimination. First will solve for x.

2x - 2y = 6\\3x + 2y = 9\\\\5x = 15\\\\x = 3\\

Now we will solve for y using what we got for x.

2(3) - 2y = 6\\\\6 - 2y = 6\\\\-2y = 0\\\\y = 0

Solution:

A: (0, 3)

3 0
2 years ago
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