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nadya68 [22]
4 years ago
15

30 points!!!!!

Mathematics
2 answers:
schepotkina [342]4 years ago
8 0
Rational Numbers :
3 _/ 25 
_/ 256
-11/151

Irrational Numbers: 
1.1625
_/ 141

Hope this helped, comment below for any clarification // Brainliest please ;) //
Natasha_Volkova [10]4 years ago
8 0

Answer:

Rational number                  Irrational number

3√25                                                           √141  

√256

1.\overline{1625}

\dfrac{-11}{151}

Step-by-step explanation:

Since we know that

Rational number are those numbers which can be written in the form of \frac{p}{q} and it is non terminating but recurring number.

Irrational numbers are those numbers which can not be written in the form of \frac{p}{q} and it is non terminating and non recurring number.

3√25 = 3×5 = 15 is rational number.

\dfrac{-11}{151} is rational number because it is written in the form of \frac{p}{q}

1.\overline{1.625} is rational number because it is non terminating but repeating number.

√256 = 16 is rational number

√141 is irrational number.

Hence, Rational number                  Irrational number

3√25                                                           √141  

√256

1.\overline{1625}

\dfrac{-11}{151}

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A boat goes 24 miles at a constant speed in 4 hours against a river current.
Ne4ueva [31]

Answer:

8 miles per hour.

Step-by-step explanation:

24miles in 4 hours = 24/4=6 miles per hour.

24 miles in 3 hours = 24/3=8 miles per hour. The boat going with the current of the river is traveling at 8 miles per hour.

7 0
3 years ago
When 1,250 Superscript three-fourths is written in simplest radical form, which value remains under the radical?
Dvinal [7]

The value remains under the radical is 8 ⇒ last answer

Step-by-step explanation:

Let us revise how to write the exponent as a radical

  • a^{\frac{m}{n}} can be written as \sqrt[n]{a^{m}}
  • To simplify the radical factorize the base "a" to its prime factors

Example:

  • (54)^{\frac{2}{3}}=\sqrt[3]{(54)^{2}} ,
  • Factorize 54 into prime factors ⇒ 54 = 2 × 3 × 3 × 3 = 2(3)^{3}
  • \sqrt[3]{(54)^{2}}=\sqrt[3]{[2(3^{3}]^{2}}=\sqrt[3]{2^{2}*3^{6}}
  • 2² can not go out the radical because 2 is less than 3 not divisible by 3
  • 3^{6} can go out the radical because 6 is divisible by 3, then divide 6 by 3, so it will be 3² out the radical
  • \sqrt[3]{(54)^{2}}=3^{2}\sqrt[3]{2^{2}}=9\sqrt[3]{4}

Now let us solve your problem

∵ 1250^{\frac{3}{4}}=\sqrt[4]{1250^{3}}

- Factorize 1250 to its prime factors

∵ 1250 = 2 × 5 × 5 × 5 × 5

∴ 1250=2*5^{4}

∴ \sqrt[4]{(2*5^{4})^{3}}=\sqrt[4]{2^{3}*5^{12}}

∵ 2³ can not go out the radical because 3 < 4 and not divisible by it

- 5^{12} can go out the radical because 12 can divided by 4

∵ 12 ÷ 4 = 3

∴ 5^{12} can go out the radical as 5³

∴ \sqrt[4]{1250}=5^{3}\sqrt[4]{2^{3}}

∴ \sqrt[4]{1250}=125\sqrt[4]{8}

∴ The value remains under the radical = 8

The value remains under the radical is 8

Learn more:

You can learn more about the radicals in brainly.com/question/7153188

#LearnwithBrainly

8 0
3 years ago
What is the y-intercept of the line represented by y = 4x?​
Brut [27]

Answer: 0

Step-by-step explanation: In order to identify the <em>y-intercept</em> of this equation, we want to get this equation into slope-intercept form which is more commonly known as y = mx + b form.

The problem is our equation doesn't match up quite so well with the formula y = mx + b. Our slope or <em>m</em> which is represented by the coefficient of the <em>x</em> <em>term</em> is clearly +4 but what is our y-intercept or b?

Well y = 4x can be thought of as y = 4x + 0 so you can see that our b or y-intercept equals 0.

5 0
4 years ago
What is the value of x?
uranmaximum [27]

Answer:

47 degrees

Step-by-step explanation:

A shape always adds up to 180 so I added the two degrees and subtracted it from 180. You get the answer 47

3 0
3 years ago
If 8a+2b+7c=4 what is -7c–
Mandarinka [93]
8a+2b+7c=4\ \ \ \ |-7c\\\\8a+2b=4-7c\ \ \ \ |-4\\\\8a+2b-4=-7c\\\\\boxed{-7c=8a/-2b-4}
5 0
4 years ago
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