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Rudik [331]
3 years ago
10

How do you know if a square root of something is rational or irrational? like i know it can be represented by a fraction or a ra

tio of two integers but like how would √17 be irrational? Please explain
Mathematics
1 answer:
ra1l [238]3 years ago
5 0
The square root of a whole number will be rational if the whole number is a perfect square (i.e 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144 etc) and irrational otherwise.

Rational number is a number that can be described as m/n 

so a fraction can be a rational number, 0.8=4/5 
Irrational numbers can't be written as a fraction 

The part about the number having to be a perfect square is still correct, if it's not a prefect square than it will just keep going(a decimal that never ends) 

for example the square root of 0.64 is 0.8 
and the square root of 10 is 3.162277... 
as you can see the 0.64 one ends and is rational, whereas the 10 one just keeps going and is irrational.
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Which expression is quick to
Len [333]

Answer:

4⁰ is the answer

Step-by-step explanation:

because first you change the division sign to a multiplication sign because they are the same and then multiply the terms with same base by adding their exponent which looks like this 4⁵-⁷+²

then calculate the sum or difference and you get 4⁰ [hopefully this makes sense]

3 0
3 years ago
Linda needs 20 gallons of juice that has 75%fruit juice. she has a mixture that has 80% fruit juice and another mixtures that ha
suter [353]
Linda should use ...
  15 gallons of 80% juice
  5 gallons of 60% juice

_____
Let g represent the number of gallons of 80% juice needed. Then (20-g) is the number of gallons of 60% juice Linda will use. The amount of juice in the mixture can be written as
  0.80g +0.60(20 -g) = 0.75×20
  0.20g = 20(0.75 -0.60) = 20×0.15
  g = 20×0.15/0.20 = 15
The amount of 80% juice needed is 15 gallons, so 5 gallons of 60% juice are needed.
5 0
3 years ago
Johnny invested $1000 in savings account that yields 2% interest annually. How much will Johnny's investment be worth in 10 year
Ann [662]
Calculate the interest in a year
Multiply the annual percentage of interest by the investment to find the interest.
interest in a year = 2% × 1,000
interest in a year = 0.02 × 1,000
interest in a year = 20
The annual interest is $20

Calculate the interest after 10 years
Multiply the annual interest by 10
interest 10 years = 20 × 10
interest 10 years = 200
The sum of interest after 10 years is $200

Find total investment
investment = first investment + interest in 10 years
investment = 1,000 + 200
investment = 1,200

The investment will be worth $1,200 in 10 years
4 0
3 years ago
What’s variance and how do I figure it oit
Andreas93 [3]
<h2>Answer:</h2>

variance measures variability from the average or mean. It is calculated by taking the differences between each number in the data set and the mean.','.

5 0
2 years ago
1.6/n = 1.2/20<br> What's the correct answer?
natita [175]

Answer:

n = 26 2/3

Step-by-step explanation:

Step 1: Cross-multiply.

  • (1.2) * (n) + 1.6*20
  • 1.2n =32

Step 2: Divide both sides by 1.2

  • 1.2n/1.2 = 32/1.2
  • n = 26\frac{2}{3}

Therefore, the answer is n = 26 2/3.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

3 0
3 years ago
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