There are 60 children in the day care center. If 1/5 of the children are preschoolers, 2/3 of the children are toddlers, and the rest are Infants, find the number of children in each age group.

find common denominator

1/5

2/3

common denominator is 15

convert 2/3 into a fraction with a denominator of 15

1/5 —> 3/15

2/3 —> multipky numerator and denominator by 5 —> 10/15 (toddlers)

infants = total - toddlers - preschoolers

infants = 15/15 - 10/15 - 3/15 = 2/15

multipky the fractions by 60 (the total number of students) to find for the number in each age group

(10/15)*60 = 40

(3/15)*60 = 12

(2/15)*60 = 8

the correct answer is option c.   3

step-by-step explanation:

points to remember

equation of the line with coordinates (x₁, y₁) and (x₂, y₂) is given by,

slope m = (y₂ - y₁)/(x₂ - x₁)

from the figure we can see a line with two coordinates given

to find the slope of given line

here   (x₁, y₁)   = (-1, -1 ) and (x₂, y₂) = (1, 5)

slope m = (y₂ - y₁)/(x₂ - x₁)

  = (5 - -1)/(1 - -1)

  = (5 + 1)/(1 + 1)

  = 6/2 = 3

therefore the correct answer is option c.   3

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.