Answer:
120
Step-by-step explanation:
nCk or C(n, k) are ways to write the "combinations" function. That function tells you how many combinations of n things there are when they are taken k at a time.
Here, you have 10 vegetables, and you want to count the number of ways you can take 3 at a time. You are being asked to find the value of 10C3, or C(10,3). You do this by putting 10 where n is in the formula, and 3 where k is. Then do the arithmetic.
10C3 = (10!)/(3!(10-3)!) = 10·9·8/(3·2·1) = 5·3·8 = 120
120 3-vegetable plates may be made.
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Answer:
10
Step-by-step explanation:
We know there are 5 quarts.
There are 2 pints for each quart.
This can be though of as a ratio of:
2 : 1
There are 5 quarts, which is 5 times bigger than the ratio of 1.
So this means we need to mutliply both sides of the ratio by 5, to make the quarts equivelent to 5:
2*5 : 1*5
=
10 : 5
So for every 5 quarts there are 10 pints.
Hope this helps!
Answer:
$.09 per inch
Step-by-step explanation:
1 foot = 12 inches
Multiply each side by 7
7 ft = 12*7 = 84 inches
Take the cost and divide by the number of inches
$7.56 / 84 inches
$.09 per inch
This is a difference of perfect squares.
(x+10)(x-10)
Answer: the cost of Parker's tuition is $17955
Step-by-step explanation:
Let x represent the cost of Parker's tuition.
Parker was able to pay 44% of his college tuition with his scholarship. This means that the amount that he was able to pay with his scholarship would be
44/100 × x = 0.44 × x = 0.44x
The amount that is remaining for him to pay would be
x - 0.44x = 0.56x
If he paid the remaining $10,054.52 with a student loan, it means that
0.56x = 10054.52
x = 10054.52/0.56
x = 17954.5
Rounding up to the nearest whole number, it becomes
x = $17955
