Factor the expression using the GCF. 18x + 24y.

1 answer:

8 0

Answer: 6(3x + 4y)

1. Find the GCF (the largest number that goes into both 18x AND 24y). This would be 6.

2. Factor out the 6 by dividing each of the terms by the GCF
18x/6 = 3x
24y/6 = 4y

3. Write as a factored expression
6(3x + 4y)

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A coin is tossed and a die is rolled simultaneously. What is the probability of getting a tail and a number less than 3?

Reil [10]

Answer: 1/6

Step-by-step explanation:

Probability of getting heads or tail is:

P (H) = P(T) = 1/2

The probability of getting any number on the die is:

P (1) = P (2) = P(3) = P (4) = P (5) = P (6) = 1/6

The probability of getting a tail on the coin and a number less than 3 on the die is:

$P($Tails and a number less than 3$)=P($Tails$) \times P$(A number less than 3)$$\begin{aligned}&=\frac{1}{2} \times[P(1)+P(2)] \\&=\frac{1}{2} \times\left[\frac{1}{6}+\frac{1}{6}\right] \\&=\frac{1}{6}\end{aligned}$$$