Answer:
He should serve 2 chocolate bars and 2 granola bars
Step-by-step explanation:
Let's define
x: amount of chocolate bar
y: amount of granola bar
We are asked to solve the following optimization problem:
maximize 7*x + 2*y
subject to
50*x + 25*y ≤ 150
5*x + 15*y ≥ 40
x ≥ 0
y ≥ 0
In the figure attached, the feasible region is shown. The solution is one of the vertex
vertex objective function
(0, 2.667) 7*0 + 2*2.667 = 5.334
(2, 2) 7*2 + 2*2 = 18
(0, 6) 7*0 + 2*6 = 12
Answer:
a) 49
b) 84
c) (B) -- always odd
Step-by-step explanation:
We observe that the number of square tiles is the square of the pattern number. The number of circular tiles is 1 more than the pattern number on each side of the square.
square tiles = n²
circular tiles = 4(n +1)
__
<h3>a) </h3>
7² = 49 square tiles are needed for pattern number 7.
__
<h3>b)</h3>
4(20+1) = 84 circular tiles are needed for pattern number 20.
__
<h3>c) </h3>
The parity of the number of square tiles matches the parity of the pattern number. (The square of a number has the same parity as the number.) Since 4 is a factor in the number of circular tiles, its parity is always even. The parity of the total number of tiles will match the parity of the pattern number.
When the pattern number is odd, the total number of tiles will always be odd. (B)
Answer:
Each friend will receive 
rolls of ribbon.
Step-by-step explanation:
We are asked to divide 5 rolls of ribbon equally among 6 friends and determine the amount of ribbon received by each person.
To find the amount of ribbon received by each person, we will divide total amount of ribbon by 6 as:
Therefore, each friend will receive rolls of ribbon.
80=x+4x
80=5x
x=16
The two parts are 16 and 64
Answer:
It should be 10 raised to power 2 which is a hundred.
