You have a roll of string that is 60 meters long. Which BEST approximates the number of yards of string on the roll? (1 yd = 0.9144 meter)
A) 50 yards
B) 60 yards
C) 66 yards
D) 98 yards

66 yards

Step-by-step explanation:

Given

1 yard = 0.9144 meter

60meters = ?

Therefore

1 yard = 0.9144 meter

y = 60 meters

Cross multiply

60 x 1 = y x 0.9144

60 = 0.9144y

Divide both sides by 0.9144

60/0.9144 = 0.9144y/0.9144

65.62 = y

y = 66 yards

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 .