Algebra Help! I appreciate any assistance.

Mathematics

2 answers:

katrin [286]3 years ago

7 0

Hello!

Given the integer in form of fraction, we should know the denominator. We know the denominator n is 3^x * 5^y.

We should know the greatest divisor of 90.

You have to prime factorize 90.

90|2
45|3
15|3
5|5
1

So 90 = 2 × 3^2 × 5^1

We take the greatest numbers with highest exponents.

That means 3^2 × 5 = 45 <- answer

Kruka [31]3 years ago

4 0

90 = 2 · 3 · 3 · 5 = 2 · 3² · 5¹

If n has the form $3^x5^y$ and $\frac{90}{n}$ is an integer, then greatest possible value of n = 3² · 5¹ = 45

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Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pian

Sergio039 [100]

The answer is 0.24

To calculate this, a multiplication rule is used. The multiplication rule calculates the probability that both of two events will occur. In this method, the probabilities of each event are multiplied. Here we have two events:

1. The probability that the pianist will be a boy,

2. The probability that the alternate will be a girl.

So, let's calculate these probabilities:

There are in total 5 children:

2 boys + 3 girls = 5 children.

1. The probability that the pianist will be a boy is 2 boys out of 5 children, which is 2/5.

2. The probability that the alternate will be a girl is 3 girls out of 5 children, which is 3/5.

The probability that the pianist will be a boy and the alternate will be a girl is:

2/5 × 3/5 = 6/25

6/25 × 4/4 = 24/100 = 0.24

3 0

3 years ago