The dimensions that would result to maximum area will be found as follows:
let the length be x, the width will be 32-x
thus the area will be given by:
P(x)=x(32-x)=32x-x²
At maximum area:
dP'(x)=0
from the expression:
P'(x)=32-2x=0
solving for x
32=2x
x=16 inches
thus the dimensions that will result in maximum are is length=16 inches and width=16 inches
Answer:
6d + 10p = 118.50
2d + 2p = 27.50
drink = $4.75
Step-by-step explanation:
You can solve the system of equations above by using the elimination method. This method involves using positive and negative coefficients of one variable to eliminate it from the equation and solve for the remaining variable. Since you are going to be adding the systems together, you need to multiply one of the equations by a negative factor to eliminate one of the variables.
Multiply by a factor of '-3': -3(2d + 2p = 27.50) = -6d - 6p = -82.50
Add the system: 6d + 10p = 118.50
+ <u> -6d - 6p = -82.50</u>
4p = 36 or p = $9 for popcorn
Since we are solving for the cost of a drink, we can put in the value of $9 for the variable 'p' and solve for 'd':
2d + 2(9) = 27.50 or 2d + 18 = 27.50
Subtract 18 from both sides: 2d + 18 - 18 = 27.50 - 18 or 2d = 9.50
Divide and solve for 'd': 2d/2 = 9.50/2 or d = $4.75
Answer:
10.5 cm
Step-by-step explanation:
Since we know that O lies on AB we know that:
- The distance from the midpoint of OA to O is 6 cm (12/2).
- The distance from the midpoint of OB to O is 4.5 cm (9/2).
You can add 6 to 4.5 to get 10.5 cm.
5x2 correct is the answer
5x:2x
2x=38 so to solve for x, divide both sides by 2 --> x=19
Now multiply x by 5 to find big town's score --> 5*19=95