PLS HELP ILL GIVE BRAINLIEST Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 30. How old is each sister?
(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.

Kim's age is twice of that of her sister. We'll let k2 = Kim and k = Kim's sister.

So, k2. When you add Kim's age to her sister age you get 30.

Because Kim is twice the age of her sister k2. And because it said 'add' then we put a + sign. k2 + s = 30. Now let's solve it.  

k2 + k = 30 < Given

3k = 30 < Combine like terms

k = 10 < Divide both sides by 3

We know Kim's sister is 10 y/o but what about Kim herself? Earlier we assigned Kim to k2. Substitute 10 for k and you get 10(2) = 20

Kim's sister is 10 y/o and Kim is 20 y/o

Step-by-step explanation:

sites:

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi