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mixer [17]
3 years ago
7

Which of the following results in a sum or a product that is rational? Choose all that apply. (3 points)

Mathematics
1 answer:
Kazeer [188]3 years ago
3 0

Remark

It is easier in this case to state the irrational ones and then talk about the rationals.

sqrt(2) * sqrt(3) is irrational. The square root of 6 fills your calculator's window with many numbers and there is no pattern to them. Sqrt(6) cannot be expressed as a fraction or a repeating decimal which is also a fraction.

The last one is also irrational for the same reason. 3*pi cannot be expressed as either a repeating decimal or a fraction.

All the others are rational. The one you might have trouble with is the first one.

0.12 repeating is actually found by letting x = 0.12121212121212121212...Then

100 x =  12.121212121212121212 ...

<u>       x =    0.121212121212121212..</u>.     Subtract

99 x = 12

x = 12/99

So the mixed fraction you get is 3 12/99 which is 309/99

When you multiply that by 1.4 it does not change the fact that you still get a fraction. It turns out to be 721 / 165.  The method is similar to the one used to get 12 / 99. I don't think you need to know the exact answer. You need only need to know that the first one is rational.

Choice 2 is rational because 9 and 25 are  perfect squares. sqrt(9) = 3

Sqrt(25) = 5.

3*5 = 15.

Answer

One Two are four are all rational.

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3 consecutive integers for 273
a_sh-v [17]

Answer:

90, 91 and 92

Step-by-step explanation:

Given

Consecutive integers = 273

Required

Find the integers

The question seem to be incomplete. However, I'll assume we're dealing with sum.

Let the smallest integer be y.

So,

y + y + 1 + y + 2 = 273

Collect like terms.

y + y + y = 273 - 2 - 1

3y = 270

Divide both sides by 3

y = 90

Hence, the integers are 90, 91 and 92

8 0
2 years ago
Derek ran 3/8 of a race before he had to stop for a break. If the race is 6 miles long, did Derek run more than, less than, or e
krek1111 [17]
Derek ran less than 6 miles. If the race is 6 miles, and he only ran 3/8, he ran less than a half of the race. If he didn't finish the race of 6 miles, he couldn't possibly have run 6 miles. 
5 0
3 years ago
Read 2 more answers
Plz help us with this!!
Lunna [17]

Answer:

It is 4...........

Step-by-step explanation:

Hope this helps.

7 0
3 years ago
Learn with an example
lana [24]

Based on the information provided, to feed the second cat it is necessary 1 1/2 extra cans or 1.5 cans.

<h3>How much extra food is needed to feed the second cat?</h3>

This difference can be found by substracting the total cans fed with only one cat to the total fed with two cats:

  • 3 1/2 cans - 2 cans = 1 1/2 cans, which can also be expressed as 1.5 cans.

Based on this, to have a second cat implies 1.5 extra cans.

Learn more about feed in: brainly.com/question/15585750

#SPJ1

6 0
2 years ago
Which of the following are solutions to the equation below?<br><br> (4x-1)^2=11
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