Answer:32 1/4 cup servings
Step-by-step explanation: Divide 1/4 by eight to find how many 1/4 cup servings there are.
Answer:
see explanation
Step-by-step explanation:
4x + 10 = 2y - 4x ( add 4x to both sides )
8x + 10 = 2y , that is
2y = 8x + 10 ( divide through by 2 )
y = 4x + 5
then
x = 2 : y = 4(2) + 5 = 8 + 5 = 13
x = 4 : y = 4(4) + 5 = 16 + 5 = 21
x = - 1 : y = 4(- 1) + 5 = 1
so table is
x y
-----------
2 13
4 21
- 1 1
9514 1404 393
Answer:
D) 45 and 1.2
Step-by-step explanation:
The "varies inversely" relationship is described by the equation ...
y = k/x . . . . . . y varies inversely with x (and vice versa)
The value of k can be found from known values of x and y:
xy = k . . . . . . multiply the above equation by x
(10)(6) = k = 60 . . . . using the given values
__
To check if a given pair of numbers satisfies ...
y = 60/x
you can multiply them together to see if the product is 60.
(A) 12×5 = 60
(B) 15×4 = 60
(C) 25×2.4 = 60
(D) 45×1.2 = 54 . . . . . not a possible pair of corresponding values.
45 and 1.2 are not a possible solution for x and y.
The perimeter in this case is:
y + 2x = 5000
The area is:
A = x * y
We rewrite the area:
A = x * (5000-2x)
A = 5000x-2x ^ 2
We derive:
A '= 5000-4x
We equal zero and clear x:
0 = 5000-4x
4x = 5000
x = 5000/4
x = 1250
We look for the other dimension:
y = 5000-2x
y = 5000-2 (1250)
y = 5000-2500
y = 2500
Then, the area will be:
A = (2500) * (1250)
A = 3125000 m ^ 2
Answer:
The largest area that can be enclosed is:
A = 3125000 m ^ 2
Slope is 2 and the y intercept is 4