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
14.
4(5.6) = 4(6.0 - 0.4) = 4(6.0) - 4(0.4) = 22.4
16.
4(6 + 7) = 4(6) + 4(7) = 52
18.
14(10 - 5) = 14(10) - 14(5) = 70
Answer:
D
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
Answer:
(9, 0)
Step-by-step explanation:
Maximum or minimum value occurs at the Corner. The points given are (0, 8), (5, 4) and (9, 0).
Substitute (0, 8) in the objective function.
We get P = 3(0) + 2(8) = 16
Now for (x , y) = (5, 4)
P = 3(5) + 2(4) = 15 + 8 = 23
At (9, 0) we get P = 3(9) + 2(0) = 27.
Clearly, we have the maximum value at (9, 0).
And the maximum value is 27.
