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Ivenika [448]
2 years ago
5

I need help with number 3 please and thank you

Mathematics
1 answer:
murzikaleks [220]2 years ago
3 0
So here we're dealing with equivalent fractions.
It's really simple to find the answer, so I'll try to explain the best I can.

2 dogs / 5 cats is really just 2/5.
If we want to find an equivalent fraction, we have to multiply the numerator and the denominator by the same number.

Currently the number of cats is 5, and we need it to be 140. What we need to do is find the number it has to be multiplied by to equal 140, which is 140 divided by 5. 140 divided by 5 is 28, so 5 x 28 = 140!

We need to multiply the denominator (5) by 28, so that we can get 140. What we have now is ?/140.

Like I said, to find an equivalent fraction, we need to multiply the numerator by the same number as we did the denominator, which is 28!

2 x 28 = 56.

So 2/5 is the same as 56/140.

The answer is D) 56 Dogs/140 Cats.

Hope this helps!
If you're confused about anything leave me a reply and I'll try to explain the best that I can!
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3 years ago
There are four boys and eight girls in a class. The teacher randomly selects three different students to answer questions. The f
umka21 [38]

The probability of the given condition is 28/165.

Given that, there are four boys and eight girls in a class.

We need to find the probability of the given question.

<h3>What is probability?</h3>

The probability is defined as the chances of happening of any random event or the possibility of happening of any event is called the probability.

The teacher randomly selects three different students to answer questions.

The first is the student is a girl, the second student is a boy, and the third student is a girl.

The total number of students=12, the number of boys=4 and the number of girls=8.

Now,

Step 1: The first student is a girl=8/12

Step 2: The second student is a boy=4/11

Step 3: The third student is a girl=7/10

In the first step, you select one of 8 girls among 12 students.

In the second step, you select one of 4 boys among the remaining 11 students.

In the third step, you select one of the remaining 7 girls among the remaining 10 students.

Thus, probability=(8/12)×(4/11)×(7/10)=28/165

Therefore, the probability of the given condition is 28/165.

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<h3>Quadratic equation</h3>

Given the following expressions as shown

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Equate to zero

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x^3-4x^2+6x-9 = 0

Factorize

On factorizing the value of x = 3

Hence the value of x such that f(x) = g(x) is x = 3

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