Find the ratio of 6 inches to 2 feet (1 foot = 12 inches, reduced to simplest form.

The answer is the first option: 1/4

Step-by-step explanation:

The ratio between two numbers refers to a division between these two numbers.

The first number mentioned goes in the numerator and the second number mentioned goes in the denominator.

For the exercise, when the ratio of 6 inches to 2 feet is asked, it means that the division must be .

Now, take into account that these two numbers must be in the same units. As the denominator is in feet, it must be converted to inches. The problem says that . If we multiply by 2 in both sides we obtain the equivalences of 2 feet in inches.

Finally, we replace 2 feet by 24 inches to find the ratio:

Thus, after performing the division 6/24 the solution in the simplest form is the first option: 1/4

ok

step-by-step explanation:

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