The stemplot below shows the heights (in inches) of students in a class. 5 | 0 1 1 3 6 6 | 2 9 7 | 1 1 3 5 7 which of the following is a height of a student in the class? a. 50 inches b. 72 inches c. 29 in ches d. 57 inches

Choice A) 50 inches

Step-by-step explanation:

The stem is the value on the left side of the vertical bar (5, 6, and 7 in that first column). The leaf is a single digit on the right side that pairs up with the stem to form the whole value. In the first row, the stem of 5 pairs up with the 0 to get 50. The next value is 51 because the stem 5 pairs up with the 1 after the 0. Then the value after that is 51 again. Repeated values are allowed.

The entire first row of values is: 50, 51, 51, 53, 56

The second row is: 62, 69

The third row is: 71, 71, 73, 75, 77

We see that only 50 is listed in the four answer choices and no other value.

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 .