To answer the question above, divide the total amount raised (T) during fundraising by the number of future exhibits (n). The amount of money (m) each exhibit will receive,
m = T / n = ($1664) / 8 = $208
Thus, each exhibit will receive $208.
Let 1 number equal x
<span>Let the other number equal 1/2x + 6
x + (1/2x + 6) =21
1 & 1/2 x + 6 =21
1 & 1/2 x =15
</span>
Area = 1/2 bh
96 = 1/2 x b x 8 = 4b
b = 96/4 = 24 inches
Perimeter = 3b [since the other sides are equal to the base]
P = 3 x 24 = 72 inches.
<h2><em>y
2
+
6
y
−
16
=
(
y
+
8
)
(
y
−
2
)
</em></h2><h2 /><h2><em>Explanation:
</em></h2><h2><em>Note that in general:
</em></h2><h2 /><h2><em>(
y
+
a
)
(y
−
b
)
=
y
2
+
(
a
−
b
)
y
−
a
b
</em></h2><h2 /><h2><em>So we want to find a pair of factors a and b of 16 which differ by 6
. </em></h2><h2><em>The pair 8
,
2 works in that 8−
2
=
6 and 8
⋅
2=
16
.
</em></h2><h2 /><h2><em>Hence:
</em></h2><h2><em>
y
2
+
6
y
−
16
=
(
y+
8
)
(
y
−
2
)</em></h2><h2><em>y=2,-8</em></h2>
