Tutor profile: Alyssa K.

The circumference of a circle is 30pi. What is its area?

To find the circumference of a circle we use the formula C=2piR. We know C is equal to 30pi. This means 30pi=2piR. If we divide both sides by 2pi, 2 pi is eliminated on the right, and the left simplifies to 15. This means 15=R. We now know the radius (R) is 15. Finally, we can find the area using A=piR^2. We plug R in, and square it (15*15) to get area=225pi

(3/4)+(8/3)=?

In order to add fractions, it is easier to find a common denominator (which is the number on the bottom of the fraction). To do this we multiply the number to produce the same denominator. In this problem, 3 and 4 can go into the number 12. If we multiply (3/4) by (3/3) we get (9/12). If we multiply (8/3) by (4/4) we get (32/12). Add: (9/12)+(32/12)=(41/12)

3(3x-8)=12

First distribute the three into the parenthesis. This means you should multiply the three by three, and the eight by three. This results in the equation: 9x-24=12 Then we want to get the value of x by itself. To do this, we add 24 to both sides of the equation. When we add 24 on the left side of the equals sign, the negative 24 goes away. When we add 24 on the right side of the equals sign, we get 36: 9x=36 Finally, to get the value of x we divide by 9 on both sides. 9 divided by 9 is 1. 36 divided by 9 is 4. As a result, we find x=4.