Solved by an expert
BRAINLIST Yesterday, Ali had x baseball cards. Today, he got 17 more. Using x, write
BRAINLIST
Yesterday, Ali had x baseball cards. Today, he got 17 more. Using x, write an expression for the total number of baseball cards he has now.
Show Answers
x + 17
explanation:
again, an expression doesn’t have an equal sign. if he started off with x cards and got 17 more, this is telling us to add.
1/x + 1/(x+2) = 9/40 > don't forget parentheses)
Multiply both sides by 40x(x+2)
40x(x+2) (1/x + 1/(x+2)) = 40x(x+2) * 9/40
40(x+2) + 40x = 9x(x+2)
40x + 80 + 40x = 9x² + 18x
9x² + 18x = 80x + 80
9x² − 62x − 80 = 0
(9x + 10) (x − 8) = 0
x = −10/9, x = 8
Since x is an integer, then x = 8, and the two consecutive even integers are 8 and 10
Check:
1/8 + 1/10 = 5/40 + 4/40 = 9/40 ---> ok