Answer:
x = 1
Step-by-step explanation:
Given that y varies inversely as x then the equation relating them is
y =
← k is the constant of variation
To find k use the condition y = 5 when x = 3
k = yx = 5 × 3 = 15, thus
y =
← equation of variation
When y = 15 then
15 =
( multiply both sides by x )
15x = 15 ( divide both sides by 15 )
x = 1
Answer:
5 different numbers, 2 even
Step-by-step explanation:
Since we have 5 digits and they are non repeating we can use the permutation formula:

It gives us the amount of ways to arrange k objects out of n objects without repetition, but order does matter.
In our case the amount of 4 digit numbers that can be formed using the digits from 1 to 5 is: 
And out of those 5, only 2 are even
Answer: 100,000 pounds
multiply the mass value by 2000
50×2,000=100,000
Perimeter is 30
Area is also 30.
Add the numbers to get the perimeter and then use 1/2bh to get the area. <span />
First choice is "1 of 10 grape lollipops from 35 lollipops"
The probablity is 10/35 = 2/7
Second choice is "1 of 18 apple lollipops from 34 lollipops"
So probablity is 18/34 = 9/17
Between this is AND so you have to these probablities multiply:
P(A) = 2/7 * 9/17 = 18/119
P(A) = 18/119 * 100% = 1800/119 %
It is approximaly 15,1 %.