P=2x+2y, y=(p-2x)/2
a=xy, using y found above in this equation gives you:
a=(px-2x^2)/2 we are told a=12 and p=16 so
12=(16x-2x^2)/2
24=16x-2x^2
2x^2-16x+24=0
2x^2-12x-4x+24=0
2x(x-6)-4(x-6)=0
(2x-4)(x-6)=0
2(x-2)(x-6)=0
So the table is 2 ft by 6 ft.
20° is the answer if you look on the other side
Answer:
57
Step-by-step explanation:
Let c represent the number of children ($1.75 each) and a represent the number of adults ( $2.00 each).
We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c
We also know that $1.75 c + $2.00 a = $609.25
By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25
Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25
Subtract $680 from both sides and combine like terms to get - $0.25 c = -
$70.75
Now, divide both sides by -$0.25 to get c = 283, the number of children.
The number of adults is 340 - c or 340 - 283 = 57
5/6......5 out of 6.......using division, it is 5 divided by 6 = 0.833