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Nady [450]
2 years ago
15

Which of the following is NOT a rational number?

Mathematics
1 answer:
makvit [3.9K]2 years ago
5 0

Answer:

A <u>rational number</u> is a number that can be expressed as a fraction (the ratio of two integers).  

<u>Integer</u>:  A whole number that can be positive, negative, or zero.

To calculate if each radical can be expressed as a rational number, convert the decimals into rational numbers, then simplify:

\sqrt{121}=\sqrt{11^2}=11=\dfrac{11}{1} \quad \leftarrow \textsf{rational}

\sqrt{12.1}=\sqrt{\dfrac{1210}{100}}=\dfrac{\sqrt{1210}}{\sqrt{100}}=\dfrac{\sqrt{121\cdot 10}}{10}=\dfrac{\sqrt{121}\sqrt{10}}{10}=\dfrac{11\sqrt{10}}{10} \leftarrow \textsf{not rational}

\sqrt{1.21}=\sqrt{\dfrac{121}{100}}=\dfrac{\sqrt{121}}{\sqrt{100}}=\dfrac{\sqrt{11^2}}{\sqrt{10^2}}=\dfrac{11}{10} \leftarrow \textsf{rational}

\sqrt{0.0121}=\sqrt{\dfrac{121}{10000}}=\dfrac{\sqrt{121}}{\sqrt{10000}}=\dfrac{\sqrt{11^2}}{\sqrt{100^2}}=\dfrac{11}{100} \leftarrow \textsf{rational}

Therefore, \sf \sqrt{12.1} is not a rational number.

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klasskru [66]
Answer: The Millers need 15 gallons of water for 6 minutes.


Lets start by finding how much water is needed for 1 min shower. 
<span>
25 gallons of water is used for 10 min shower:

</span>10 mins = 25 gallons <span>

To find 1 min shower, we will divide the 25 gallons of water by 10. 
</span><span>
10 mins = 25 gallons            </span>← Divide by 10 on both sides<span>
÷ 10           ÷ 10
1 min = 2.5 gallons

Now that we know the Millers need 2.5 gallons for every 1 minute of shower, we can find 6 minutes of shower by multiplying by 6.

1 min = 2.5 gallons</span>         ← Multiply 6 on both sides<span>
   x6           x6
6 min = 15 gallons

-----------------------------------------------</span>---------------------------------------<span>
Answer: The Millers need 15 gallons of water for 6 minutes.
</span>--------------------------------------------------------------------------------------<span>

</span>
8 0
3 years ago
Jerome bought 8 packs of baseball cards at a garage sale each pack had 10 cards he gave his younger sister 3 cards from each pac
a_sh-v [17]
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3 0
3 years ago
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When you subtract 8from 10 what is the different​
Alinara [238K]

Answer:

2

Step-by-step explanation:

Difference = 10 - 8 = 2

Hope it helps you in your learning process.

8 0
3 years ago
Which graph represents y = [x] over the domain 2&lt;2&lt;5?
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Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178
kompoz [17]

Answer: [911,∞)


Step-by-step explanation:

Given: S be the number of cans collected by Shane.

Since,  Abha collected 178 more cans than Shane did.

Then, the number of cans collected by Abha = S+178

Also, Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling.

So, S+178+S\geq2000

\\\Rightarrow\ 2S\geq2000-178\\\Rightarrow2S\geq1822\\\Rightarrow\ S\geq911

Hence, the solution set of the inequality will be [911,∞)


4 0
3 years ago
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