Cora, her sister, and four friends are going to share a bag of candy equally. there are 120 candies in the bag. how many candies will each person get? 20 24

20

Step-by-step explanation:

Given: It is given the total number of candies in the bag is 120, and also it is given that these candies were distributed among Cora, her sister, and four friends equally.

To find: We need to find how many candies will each person get.

Solution: In order to find the number of candies each person will get, we first need to find among how many person, the candies were shared.

It is given that the candies were distributed among Cora, her sister, and four friends equally. So, we can say the candies were distributed among 6 person.

Now, Total candies is 120.

So, each person will get candies.

Hence, each person will get 20 candies.

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .