Answer:
C. 1/4 lb of chicken per person
Step-by-step explanation:
Find the rate of change for the situation.
A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people.
A. 9/17lb per person
B. 4 lb per person
C. 1/4 lb per person
D. 36 people
Solution
9 lbs of chicken for 36 people
Chicken per person = Total lbs of chicken / Total number of people
= 9 lbs / 36 people
Chicken per person = 1/4 lb of chicken per person
17 lbs of chicken for 68 people
Chicken per person = Total lbs of chicken / Total number of people
= 17 lbs / 68 people
= 1/4 lb of chicken
Chicken per person = 1/4 lb of chicken per person
Therefore, the rate of change of the situation = 1/4 lb of chicken per person
Step-by-step explanation:
Find the difference
3,621 - 1,836 = 1,785
They payed $1,785 dollars in the second installment.
Answer:
5{z}^{3}-222-9{z}^{2}5z
3
−222−9z
2
Step-by-step explanation:
1 Collect like terms.
5{z}^{3}+(-224+2)-9{z}^{2}5z
3
+(−224+2)−9z
2
2 Simplify.
5{z}^{3}-222-9{z}^{2}5z
3
−222−9z
2
Done
The answer is 5.13 in²
Step 1. Calculate the diameter of the circle (d).
Step 2. Calculate the radius of the circle (r).
Step 3. Calculate the area of the circle (A1).
Step 4. Calculate the area of the square (A2).
Step 5. Calculate the difference between two areas (A1 - A2) and divide it by 4 (because there are total 4 segments) to get <span>the area of one segment formed by a square with sides of 6" inscribed in a circle.
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Step 1:
The diameter (d) of the circle is actually the diagonal (D) of the square inscribed in the circle. The diagonal (D) of the square with side a is:
D = a√2 (ratio of 1:1:√2 means side a : side a : diagonal D = 1 : 1 : √2)
If a = 6 in, then D = 6√2 in.
d = D = 6√2 in
Step 2.
The radius (r) of the circle is half of its diameter (d):
r = d/2 = 6√2 / 2 = 3√2 in
Step 3.
The area of the circle (A1) is:
A = π * r²
A = 3.14 * (3√2)² = 3.14 * 3² * (√2)² = 3.14 * 9 * 2 = 56.52 in²
Step 4.
The area of the square (A2) is:
A2 = a²
A2 = 6² = 36 in²
Step 5:
(A1 - A2)/4 = (56.52 - 36)/4 = 20.52/4 = 5.13 in²
