Which of the following will result in a rational answer? multiplying pi by a fraction adding the square root of a non perfect square to a whole number adding the square root of a perfect square to pi multiplying a fraction by a repeating decimal

The rational number is:

Multiplying a fraction by a repeating decimal.

Step-by-step explanation:

We are asked to find which will result in a rational number:

1)

multiplying pi by a fraction.

As we know that π is an irrational number.

Hence if we multiply any fraction i.e. rational number to an irrational number (π) we will always obtain an irrational number.

Hence, option 1 is false.

2)

adding the square root of a non perfect square to a whole number .

If we take square root of some non perfect square than it always result to an irrational number.

and hence adding a whole number i.e. a rational number to it will again be an irrational number.

Hence, option 2 is false.

3)

adding the square root of a perfect square to pi

We know that square root of a perfect square is an rational number and adding π to it which is an irrational number will again result out an irrational number.

Hence, option 3 is false.

4)

multiplying a fraction by a repeating decimal.

We know that a repeating decimal is an rational number and multiplying a fraction to it which is again a rational number will result in an rational number.

Hence, option 4 is true.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3