Answer:
He can make only one batch of cookies.
Step-by-step explanation:
Just by mental math you can say he can make maximum one batch of cookies.
Total sugar = 10 cups
sugar used for lemonade = 2 cups
leftover sugar = 8 cups
For 1 batch of cookie sugar needed = 11/2
which means 5 and 1/2 cups
And he's just left with 8 cups of sugar after lemonade
8 - 5 1/2 = 2 1/2 which is not enough for 2nd batch
That means the maximum number of cookies batches is 1.
Another way to solve it by inequality:
2+Il/2 X <u><</u> 10
11/2 X <u><</u> 8
11X <u><</u> 16
X <u><</u> 1 6/11
So he can make only one batch of cookies.
Answer:
x = 500 yd
y = 250 yd
A(max) = 125000 yd²
Step-by-step explanation:
Let´s call x the side parallel to the stream ( only one side to be fenced )
y the other side of the rectangular area
Then the perimeter of the rectangle is p = 2*x + 2* y ( but only 1 x will be fenced)
p = x + 2*y
1000 = x + 2 * y ⇒ y = (1000 - x )/ 2
And A(r) = x * y
Are as fuction of x
A(x) = x * ( 1000 - x ) / 2
A(x) = 1000*x / 2 - x² / 2
A´(x) = 500 - 2*x/2
A´(x) = 0 500 - x = 0
x = 500 yd
To find out if this value will bring function A to a maximum value we get the second derivative
C´´(x) = -1 C´´(x) < 0 then efectevly we got a maximum at x = 500
The side y = ( 1000 - x ) / 2
y = 500/ 2
y = 250 yd
A(max) = 250 * 500
A(max) = 125000 yd²
the relationship between the two angles is that they are supplementary angles because together they create a line that is 180 degrees. I might be wrong so please don't get mad if I am. I am 90 percent sure this is the answer though
Answer:
a
=
4/
1
−
|
x
|
h
=
0
Step-by-step explanation:
Answer:
8 3/4 inches
Step-by-step explanation:
Total length of the rod = 24 1/2 inches
Carlos = 8 3/4 inches
Amanda = 6 3/8 inches
length of the rod remaining = Total length - ( Carlos + Amanda)
= 24 1/2 - (8 3/4 + 6 3/8)
= 49/2 - (35/4 + 51/8)
= 49/2 - ( 75+51/8)
= 49/2 - 126/8
= 196-126/8
= 70/8
= 8 6/8 inches
= 8 3/4 inches
Length of rod remaining = 8 3/4 inches
