Answer:
He put 19 cards into each pile.
Step-by-step explanation:
76 cards in total
piles are qbs, wide receivers, tackles, and line backers = 4 piles
"use division"
so 76 divided by 4 equals 19.
5(x + 2/3) = 3x - 2/3.....distribute the 5 through the parenthesis
5x + 10/3 = 3x - 2/3 ....subtract 3x from both sides
5x - 3x + 10/3 = 3x - 3x - 2/3...combine like terms
2x + 10/3 = - 2/3 ....subtract 10/3 from both sides
2x + 10/3 - 10/3 = -2/3 - 10/3...simplify
2x = - 12/3....reduce
2x = - 4....divide both sides by 2
x = -4/2....reduces to -2
or this way...
5(x + 2/3) = 3x - 2/3.....distribute
5x + 10/3 = 3x - 2/3....multiply by lowest common denominator of 3
15x + 10 = 9x - 2 ....subtract 9x from both sides
15x - 9x + 10 = -2 ...subtract 10 from both sides
6x + 10 - 10 = -2 - 10...simplify
6x = -12.....divide both sides by 6
x = -12/6 reduces to -2
Answer:
A score of 95 she must obtain on the fifth exam to have an average of 90 or better for the five exams
Step-by-step explanation:
average = sum of all terms / number of terms
average = 94 + 83 + 92 + 86 + x / 5
90 = 355 + x / 5
multiply both sides by 5,
90 * 5 = 355 + x / 5 * 5
450 = 355 + x
subtract 355 from both sides to get x alone
450 - 355 = 355 + x - 355
95 = x
