Looking at the permutation formula, we have n!/(n-r)!. n is the number of objects to select from and r is how many are to be picked at once. And 1 means multiply from there down basically. 5!/(5-4)!= 5*4*3*2*1/1. 5 times 4 is 20 times 3 is 60 times 2 is 120 times 1 is 1 so 120/1 is 120. There are 120 total combinations to be made from P, Q, R, S and T.
The answer is 6 with a remainder of 4
The number of orders Michael, Rafael and Amanda served are 16.8, 33.6, and 41.6 servings
respectively.
<h3>Equation</h3>
- Michael = x
- Rafael = 2x
- Amanda = 2x + 8
- Total servings = 92 orders
x + 2x + (2x + 8) = 92
3x + 2x + 8 = 92
5x = 92 - 8
5x = 84
x = 84/5
x = 16.8 servings
Therefore,
Michael = x
= 16.8 servings
Rafael = 2x
= 2(16.8)
= 33.6 servings
Amanda = 2x + 8
= 33.6 + 8
= 41.6 servings
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Area of the circle
A = πr²,
r is a radius of the circle.
Formula of the circle is
(x - h)² + (y - k)² = r²,
h,k are coordinates of a center of a circle.
(x - 2)² + (y - 3)² = 24
For this circle r² = 24.
A = πr², -------> A=24π is the exact value of the area.
A=24π≈ 75.40 is the approximate value of the area.
Answer:
Step-by-step explanation:
We see the two of the dimensions remain as is, therefore the number of wipes affects the height of the carton.
<u>We will use the ratios to find the required value of h:</u>
- 70/100 = 2/h
- h = 2*100/70
- h = 2.9 inches (rounded)
