If the perimeter is 98 cm, the sum of the lengths of two adjacent sides is 49 cm.
... (2x -1) + (3x +5) = 49 . . . . use the given information and relation
... 5x +4 = 49 . . . . . . . . . . . simplify
... 5x = 45 . . . . . . . . . . . . . . . subtract 4
... x = 9 . . . . . . . . . . . . . . . . . divide by 5
The left side dimension is then
... 2x -1 = 2·9 -1 = 17 . . . . cm
The top dimension is
... 3x +5 = 3·9 +5 = 32 . . . . cm
The rectangle is 17 cm by 32 cm.
Um, so it's a bit awkward with this question because they actually got the x value incorrect. When they added up all the values, they got 9x - 27 = 180, but it's actually 9x + 27 = 180 because -18 + 45 is positive 27. Anyways, when you solve it correctly you get x = 17, and then you substitute it into the angles. So with 5x - 18, you are saying 5(× 17) - 18 = 67. Then with the other one you do 4(× 17) + 45 = 113. You know that x is definitely 17 because 113 + 67 = 180.
Ok,First Doing2/2=1 and After
2+1=3
Olga worked 37.5 hours last week and earned $12.50 an hour.
[ h = the number of hours y = total earnings ]
12.50h = y
12.50(37.5) = y
468.75 = y
She earned $468.75 last week
If she gets a $2.50 per hour raise:
12.50 + 2.50 = 15.00
She gets $15 per hour.
How many hours will she have to work to make $468.75?
15h = 468.75 Divide 15 on both sides to get "h" by itself
h = 31.25
She needs to work 31.25 hours
