Answer: 5808000 ways
Step-by-step explanation:
When it comes to selection, the combination formula is used to calculate the number of ways an item can be selected.
Using the combination formula of picking "r" items from a total of "n" items, the number of ways become:
nCr = n! /(n-r)! × r!
Hence,
to choose 3 different beverages from possible 12 = 12C3 = 220
to choose 3 different appetizers from possible 12 = 12C3 = 220
to choose 3 different deserts from possible 10 = 10C3 =120
Total number of ways to choose this meal = 220 × 220× 120 = 5808000 ways
Answer:
- 64 gallons 30%
- 96 gallons 55%
Step-by-step explanation:
The amount of each brand can be found by writing and solving an equation that makes use of the given relations.
<h3>Setup</h3>
Let x represent the quantity of 55% pure antifreeze needed in the mixture. Then the quantity of the 30% brand is (160-x). The amount of pure antifreeze in the mixture is ...
0.55x +0.30(160 -x) = 0.45(160)
<h3>Solution</h3>
Subtracting 0.30(160), we have ...
x(0.55 -0.30) = 160(0.45 -0.30)
x = 24/0.25 = 96 . . . . . simplify, divide by the coefficient of x
96 gallons of the 55% brand, and 64 gallons of the 30% brand must be used.
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Read more about mixture problems here:
brainly.com/question/26751698
One side of the square is 15 cause 15 times 15=225
Answer: 60 degrees / 360 = 1/6
the arc is (1/6)(2pi)radians
Answer:
B) (0,1)
Step-by-step explanation:
The line crosses the y-axis at (0, 1), so that makes (0, 1) the y-intercept.
Hope this helps!
