$7.47/3=$2.49 per yard
$2.49 x 2=$4.98 for 2 more yards
3(x+5) = -4x+8
3x+15=-4x+8
3x+7=-4x
7x+7=0
x=-1
(I think this is the only solution!)
Answer:
Step-by-step explanation:
We need a series of equations to be able to sub back and forth into one another in order to get this down to one variable, s for spectators. This is what we know from the info (in algebraic expression/equation form):
.6s = men (60% of the spectators are men)
.4s = women + children (40% of the spectators are women and children)
# of children = 2/3 women
# of men = women + 252 (There are 252 more men than women) and
# women = men - 252
Those are the equations we need to solve for the number of spectators.
Start at the top with
.6s = men. We know that the number of men = women + 252, so
.6s = women + 252.
.4s = women + children. We know that the number of children is 2/3 the number of women, so
.4s = women + 2/3 women. If the number of men = women + 252, then
.4s = men - 252 + 2/3(men - 252) which simplifies to
.4s = 3/3 men - 252 + 2/3 men - 168 and
.4s = 5/3 men - 420 and
.4s = s - 420 and
-.6s = -420 so
s = 700
P starts at (-3,5)
Move to the right 2 units and you'll get to (-1,5). We add 2 to the x coordinate here.
Then shift the point up three units to get to (-1,8). We add 3 to the y coordinate.
Finally, reflect over the x axis to get the answer (-1, -8)
Note how the y coordinate flipped in sign but the x coordinate stays the same