+309 Chris puts one tenth of each paycheck into savings. Her current paycheck is $200. She decides to also put into savings, any amount she earns over $200. The expression below represents the percent of her paycheck that Chris saves when she makes x dollars more than her current paycheck.
100(x+20)x+200
Drag and drop the expressions into the boxes to identify their meaning.
Simplify. Enter your answer in the box.
+130071 First one
Original ratio of saved to total money per paycheck = 20 / 200
Final ratio of saved to total money per paycheck = (x + 20) / (x + 200)
Final amount saved per paycheck = x + 20
+130071 Second one
Note that what we really have is just this
4x 6x
_____ ÷ ______
5 + x x + 2
So.....just like "normal" fractions....we just invert the second and multiply
4x x + 2
_____ x ______ =
5 + x 6x
4x x + 2
__ x _____
6x x + 5
4 x + 2
_ x ____
6 x + 5
2 x + 2
__ x ____
3 x + 5
2x + 4
_____
3x + 15
+130071 Last one
Factor x^2 + 4x + 3 = (x + 3) ( x + 1)
Factor x^2+ x = x ( x + 1)
Factor 2x^2 -3x + 1 = (2x - 1) (x - 1)
So......just like the last one.....we really have
( x + 3) ( x + 1) (2x - 1) ( x - 1)
____________ x ______________
2x - 1 x ( x + 1)
"Cancel" the ( x + 1) and 2x - 1 factors and we have
( x + 3) ( x - 1)
___________
x
