Answer:
$4000
Step-by-step explanation:
Assuming a = money invested at 9%
Assuming b = money invested at 8%
then we can form am equation from the question given
1) a + b = $10000, also
0.09a + 0.08b = $860 -> multiply by 100
2) 9a + 8b = $86000
Next we try to solve both equations simultaneously. We multiply both the left hand side and the right hand side of the first equation by 8. We have
3) 8a + 8b = $80000, now we subtract 3 from 2
9a + 8b = $86000
-8a - 8b = -$80000
a = $6000.
Then, we plug this in any of the first 2 equations, to get b
9 * $6000 + 8b = $86000
$54000 + 8b = $86000
8b = $86000 - $54000
8b = $32000
b = $32000/8
b = $4000.
Therefore, he invested $4000 at 8%
A parallelogram is correct because the two pairs of same sides is the only one that makes sense. rhombus and square both have 4 sides that are the same size, and a trapezoid has only one pair of equal sides
48-31 = 17 yds from the goal line
They lose 3, 5, 7, and 4 yds on the next plays. Add them together and add to 17 to get total distance from goal line:
(3+5+7+4) = 19
19 + 17 = 36
The distance from the ball to the goal line is 36 yards.
The mathematical equation for this word problem would be . . .
3/4 / 8
This equation also equals . . .
3/4 * 1/8
Then you would multiply the numerators together and the denominators together . . .
3 * 1/4 * 8
This simplifies to . . .
3/32
So, each student can get 3/32 of the cake.
Answer: 3/32 of the cake