Step-by-step explanation:
x = the total money she had first.
x - x×1/4 - (x - x×1/4)×1/2 = 15
you see, first we needed to deduct 1/4 of x from x. that left us with (x - x×1/4). and from that we need to deduct 1/2.
now, we can simplify :
(x - x×1/4) = (x×4/4 - x×1/4) = x×3/4
x×3/4 - x×3/4 × 1/2 = 15
x×3/4 - x×3/8 = 15
we multiply both sides by 8 (4 is a factor of 8, so this handled both fractions perfectly) :
x×3×2 - x×3 = 120
6x - 3x = 120
3x = 120
x = $40
she had $40 at the beginning.
Use the equation 300⇒5x to find how much tim made each day on average.
x⇒60 so, Day 1: $60, Day 2: $70 etc.. so the equation 300=5x+10 suffices the problem. 300⇒5x+10 ⇒ 290=5x
x=58
So, Tim earned $58 his first day. Hope this helped.
Answer:
C(-4,-2), D(3,-7)

Step-by-step explanation:
we procced to identify points:
A(-4,-7), B(3,-2)
for being the sides of a rectangle parallel to the axes, we find the other two vertices (VIEW GRAPH)
C(-4,-2), D(3,-7); Area of the rectangle Ar=b*h, where

So Ar=(3-(-4))*(-2-(-7)) = (3+4)*(-2+7)=7*5=
She began with 20.
If she bought 7 more books and ended up with 17, that means she had ten beforehand. If she had half remaining, we simply double it, thus getting 20.
Answer:
~ fati235's answer ~
Regular participation in sports keeps your body in good shape. Even running can benefit your body. When you play sports, your heart stays healthy and it flows more blood through your body. Exercising/Playing sports regularly can also benefit your lungs. Your body sweats, which is great for your skin.
Hope this helps!