<span>The least common multiple of x² – 8x + 12 and x² – x – 2.
by factoring:
∴ </span><span>x² – 8x + 12 = (x-2)(x-6)
</span><span>x² – x – 2 = (x-2)(x+1)
note: the factor (x-2) is common between them take it one time
∴ LCM = (x-2)(x-6)(x+1)
</span>
after 6 hours Al and Ben will be 180 miles apart.
(22 * x) + (8 * x) = 180
x = 6 hours
<span>rectangle
A = L * W
1.7 = 3.4 * z
z = 1.7 / 3.4
z = 0.5
answer
</span><span>z=0.5</span>
Answer:
Option E is correct.
12 pairs of socks and 15 pairs of shorts did team buy each year.
Step-by-step explanation:
Let the number of pairs of socks be x and the number pairs of shorts be y.
As per the statement:
Last year, the volleyball team paid $5 pair for socks and $17 per pair for shorts on a total purchase of $315.
⇒
.....[1]
It is also given that: This year they spent $342 to buy the same number of socks and shorts, because the socks now cost $6 a pair and the shorts cost $18.
⇒
.....[2]
Multiply equation [1] by 6 both sides we get;
.......[3]
Multiply equation [2] by 5 both sides we get;
.....[4]
Subtract equation [4] from [3] we get;

Divide both sides by 168 we get;
y = 15
Substitute the given values of y =15 in [1] we get;
5x+17(15) = 315
5x + 255 = 315
Subtract 255 from both sides we get;
5x = 60
Divide both sides by 5 we get;
x = 12
Therefore, 12 pairs of socks and 15 pairs of shorts did team buy each year.