Give the equation of the line with a slope is 2/3 and whose y-intercept is -1. Change decimal to fraction.
Change decimal to fraction.
To convert a decimal into a fraction, divide the decimal by 1:
Multiply the numerator and denominator by 10 for every digit after the decimal point. Since there are four digits after the decimal point, multiply both the numerator and denominator by 10⁴ = 10,000.
Reduce the fraction by dividing the numerator and denominator by their HCF (Highest Common Factor):
Hence, 0.009500 in fraction = 19/2,000
the answer is there are 225 children in the feeding program.
step by step solution:
to compute for the total number of children at the feeding program, allow x to be the number of children at the feeding program. then, 2/3x will represent those that are 8 years old, 2/5 (x - 2/3x) will represent those that are 9 nine years old. if there are 45 children who are ten years old then, 2/3x + 2/5 (x - 2/3x) + 45 = x. simplify the equation by distributing 2/5 to x - 2/3x thus, 2/3x + 2/5x - 4/15x + 45 = x. combine all the similar terms making it 2/3x + 2/5x - 4/15x - x = -45. find the least common denominator for 1, 3, 5, and 15 thus, 2(5)x + 2(3)x - 4x - 15x/15 = -45. then, 10x + 6x - 4x - 15x/15 = -45. 16x - 19x/15 = -45. multiply both sides of the equation by 15 to eliminate the denominator. 15[-3x/15 = -45]15. -3x = -675. divide both sides of the equation to solve for the value of x then, x = 225. if there were 225 children at the feeding program. 2/3(225) = 450/3 = 150, there are 150 children who are 8 years old. since the number of ten year old kids is given, we can now compute for the number of the 9 year old kids thus, 225 - 150 + 45 = 225 - 195 = 30. therefore, there are 30 children aged 9 at the feeding program.
72x3 = 216