Answer:
The dimensions are 25 * 50 feet.
Step-by-step explanation:
The 3 sides of the pen will measure (2x + y) feet where x is the width and y is the length.
2x + y = 100
y = 100 - 2x
The area A = xy = x(100 - 2x) ft^2.
Finding the maximum area.
A = x(100 - 2x)
A = 100x - 2x^2 Finding the derivative:
A' = 100 - 4x
For maximum value of A this equals zero:
100 - 4x = 0
4x = 100
x = 25 ft, so this is the width.
The length is 100 - 2(25) = 50 ft.
If x=-1 => y-2=5=> y=7,x=-1
If x=0=> y+0=5=> y=5,x=0
If x=3=> y+6=5=> y=-1,x=3
Answer: Digit Place Value
7 Tens
5 Ones
.
7 Tenths
3 Hundredths
3 Thousandths
Step-by-step explanation: this should help its not the answer but it's support
Answer:
The answer to this is 4 and 9 over 16.
Step-by-step explanation:
The expression is 3 + (2 + 8)^2 ÷ 4 × 1 over 2 to the power of 4 . it can be represented mathematically as
3 + (2 + 8)^2 ÷ 4 × (1/2)^4
using PEMDAS
parenthesis come first
3 + 10^2 ÷ 4 × (1/2)^4
exponential comes next
3 + 100 ÷ 4 × 1/16
3 + 25 × 1/16
3 + 25/16
(48 + 25)/16
73/16
4 9/16
Answer:
3 hours
Step-by-step explanation:
First we can find how much money you had to pay for keeping the skates for the additional hours:
$7.70-$3.95=$3.75
Now we find how many hours you kept the skates...
$3.75/$1.25 per hour=3 hours
