All categories

3 years ago

Is 17/2 rational or irrational?

Mathematics

2 answers:

Naya [18.7K]3 years ago

8 0

Answer:

it's a Rational number

Step-by-step explanation:

because it repeats and stops

Katyanochek1 [597]3 years ago

5 0

Hi, I'm happy to help!

A number is rational if it repeats itself, or stops. This number, both in fraction and decimal form (8.5), stops. This means that the number is rational.

I hope this was helpful, keep learning! :D

You might be interested in

Use the least common denominator to write an equivalent fraction for each fraction. 5/6 and 2/9

olchik [2.2K]

5/6 and 2/9......least common denominator is 18
so 5/6 = 15/18 and 2/9 = 4/18

1/12 and 3/8...least common denominator is 24
so 1/12 = 2/24 and 3/8 = 9/24

5/9 and 2/15...least common denominator is 45
so 5/9 = 24/45 and 2/15 = 6/45

3 0

3 years ago

89,999 rounded to the nearest hundred thousand

lys-0071 [83]

The answer is 90,000

7 0

4 years ago

Read 2 more answers

Can someone help me find the volume of this?

GalinKa [24]

To find the volume of any cube you need to know the length, width and height. The formula to find the volume multiplies the length by the width by the height. The good news for a cube is that the measure of each of these dimensions is exactly the same. Therefore, you can multiply the length of any side three times.

5 0

4 years ago

1. What is the name of a number that can be written in the form a+bi where a and b are nonzero real numbers?

Serjik [45]

Re-writing question 5:

5. Determine if the statement below is true or false. If it is false, rewrite it so it is true. Rewriting √-10 in terms of i results in −10i.

A. This statement is true.

B. This statement is false. Rewriting √-10 in terms of i results in (√10)i.

C. This statement is false. Rewriting √-10 in terms of i results in −10√i.

D. This statement is false. Rewriting √-10 in terms of i results in 10√i.

Answer:

1) C. an imaginary number

2) A. In order for a + bi to be a complex number, b must be nonzero

3) 4

4) -6

5) B. The statement is false. Rewriting √-10 in terms of i results in (√10)i

Step-by-step explanation:

1. When a number can be expressed in the form a+bi where a and b are real numbers, then the number is said to be a complex number.

For example, the following are complex numbers where i = √-1 ;

i. 3 + 5i

ii. 4 - 7i

iii. -3 - 9i

Well, even real numbers are a subset of complex numbers. For example,

=> 5 can be written as 5 + 0i

=> -12 can be written as -12 + 0i

-- But when a and b are non-zero real numbers or at least b is a non-zero real number, then the number is said to be an imaginary number.

-- If a is zero, then the number is a purely imaginary number

-- If b is zero, then the number is a purely real number

2. For a number to be called a complex number;

i. it can be written in the form a + bi where a and b are real numbers,

ii. either a or b, or both, may be zero,

iii. a is the real part of the complex number,

iv. b is the imaginary part of the complex number.

v. it could also be a real number since every real number is also a complex number.

3. Given 4 - 5i

The real part is 4

and the imaginary part is -5

4. Given 7 - 6i

The real part is 7

and the imaginary part is -6

5. Rewrite √-10 in terms of i

Remember that i = √-1

Therefore,

√-10 = √(-1 x 10) = √-1 x √10

=> √-10 = √-1 x √10

=> √-10 = i x √10

=> √-10 = (√10)i

3 0

3 years ago

A single gram of a certain metallic substance has 0.52 gram of copper and 0.26 gram of zinc. The remaining portion of the substa

blagie [28]

First off all, if we have 1 gram of a substance that has 0.52 gram of copper and 0.26 gram of zinc, the remainder will be: $1gram-(0.52gram+0.26gram)=1gram-0.78gram=0.22gram$
Since we know that the remaining portion of the substance is nickel, we have 0.22 gram of nickel.

Now, Ben estimates that 1 gram of the substance has 0.2 gram of nickel. To find how many grams of nickel are in 35 grams of the substance, we are going to multiply the grams of the substance by the gram of nickel:
 $(35)(0.2)=7$
We can conclude that according to Ben, 35 grams of the substance has 7 grams of nickel.

But we know that in 1 gram of the substance are not 0.2 gram of nickel but 0.22. So lets multiply the grams of the substance by 0.22 to find the actual grams of nickel in it:
$(35)(0.22)=7.7$
We can conclude that 35 grams of the substance has 7.7 grams of nickel.

5 0

3 years ago