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Trava [24]
3 years ago
6

Suppose that g(x) varies inversely with (x) and g(x) = 0.2 when x=0.1. What is g(x) when x=1.6?

Mathematics
2 answers:
mestny [16]3 years ago
6 0
Since g(x) varies with x, therefore:
g(x) = k/x where k is a constant.

So, first we need to get k. We are given that g(x) = 0.2 when x = 0.1
Substitute with these values to get k as follows:
g(x) = k/x
0.2 = k/0.1
k = 0.2*0.1 = 0.02

Now, the equation became:
g(x) = 0.02 / x

We need to get the g(x) when x = 1.6
Therefore, we will substitute with x in the equation and calculate the corresponding g as follows:
g(x) = 0.02 / 1.6
g(x) = 0.0125
xz_007 [3.2K]3 years ago
3 0
0.0125  "Varies Inversely" means that when one of the items is multiplied by a constant, the other item is divided by the same constant. Or in mathematical notation. xy = k  So let's calculate k. xg(x) = k 0.1 * 0.2 = k 0.02 = k  
Therefore  
g(x) = 0.02/x 
 Let's plug in the value 1.6:
 g(1.6) = 0.02/1.6
 g(1.6) = 0.0125
 
 So our answer is 0.0125

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B

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In the International Grandmaster Championship, a total of 105 games were played where each team played exactly one game with all
olga2289 [7]

Answer: 15 teams

Step-by-step explanation:

Total number of games played in the tournament = 105

Number of participating teams = p

Each team plays against every other team , then the total number of games played by each team = (p - 1) , since a team can't play itself

To obtain total number of games played =

(Number of teams × number of games played) [p × (p-1)]

However, the teams played against each other only once :

Therefore, total number of games played:

[p × (p-1)] / 2

Since we've been given the total number of games played :

[p × (p-1)] / 2 = 105

p × (p-1) = 105 × 2

p × (p-1) = 210

p^2 - p = 210

p^2 - p - 210 = 0

p^2 - 15p + 14p - 210 = 0

p(p - 15) +14(p-15) = 0

(p - 15) = 0 or (p + 14) = 0

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3 0
3 years ago
What is 18/30 reduced to
WITCHER [35]


18/30, is reduced to 9/15 then 3/5.

9/15 first, because  18 and 30 are both divisible by 2.

 18÷2=9 and 30÷2=15.

Then how  I got 3/5, was because both 9 and 15 are divisible by 3.

 9÷3=3 and 15÷3=5 so the final answer that you are looking for, is 3/5.

8 0
3 years ago
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