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kirill115 [55]
3 years ago
8

The number of candies consumed varies inversely with the number of children present. When 12 children are present,140 pieces of

candy are consumed. Therefore, when 8 children are present,___pieces of candy are consumed
Mathematics
2 answers:
irinina [24]3 years ago
5 0
Loosely, "varies inversely" means that as one quantity increases, the other decreases. Specifically, if x and y vary inversely, then y = k/x where k is some constant (a particular number).

Another way to write that relationship is xy = k.  To find the value of k for this problem, you need a numbers for x and y that go together.

Suppose x = number of children and y = number of candies (it doesn't matter what order these go in as long as you keep track!).

"When 12 children are present, 140 pieces of candy are consumed."  So when x = 12, the value of y = 140.

xy = k
(12)(140) = k
1680 = k

Now, when x = 8 children,

8y = 1680
y = 210

Ierofanga [76]3 years ago
4 0
Blank Is :
8y = 1,680
y = 210
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15.87% probability that the car travels more than 53 miles per gallon.

Step-by-step explanation:

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5 0
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so, the "common difference" is then -7, and our first term is 7, now, who's -175?  let's check.

\bf a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
d=-7\\
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\end{cases}
\\\\\\
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\\\\\\
7n=14+175\implies 7n=189\implies n=\cfrac{189}{7}\implies n=\stackrel{terms}{27}
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