Answer:constant of variation(k) is, 250.
Step-by-step explanation:
The inverse variation says that:
then, the equation is in the form of :
....[1] where, k is the constant of variation
As per the statement:
Suppose that y varies inversely with x.
then,
by definition of inverse variation we have;
When x = 2.5 and y = 100 then
Substitute these in [1] we have;
Multiply 2.5 both sides we have;
or
k = 250
⇒
Therefore, the constant of variation is, 250 and the equation we get
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Step-by-step explanation:
CARD #1: Use the number 0 to represent the yellow marbles and 1 through 9 to represent the other marbles.
Since we are only allotting one out of the 10 numbers for the yellow marbles, then we should also find a set of marbles wherein the ratio of the yellow marbles to the total marbles is 1/10. Out of the options, the situation with 30 red marbles, 40 blue marbles, 20 green marbles, and 10 yellow marbles match the ratio.
CARD #2: Use the numbers 0 through 4 to represent the yellow marbles and 5 through 9 to represent the other marbles.
We will follow the same logic as the previous pair. Since we used 5 numbers out of the 10 for yellow marbles, then we should find a situation wherein the ratio of the yellow marbles to the total marbles is 1/2. From the options, the situation with 16 red marbles, 32 blue marbles, 32 green marbles, and 80 yellow marbles satisfy the ratio.
CARD #3: Use the numbers 0 through 2 to represent the yellow marbles and 3 through 9 to represent the other marbles.
For this card, 3 out of the 10 numbers are allotted for the yellow marbles. Thus, the ratio of the yellow marbles to the total marbles should be 3/10. We can see that the only situation that satisfies this is the one with 60 red marbles, 120 blue marbles, 30 green marbles, and 90 yellow marbles.
CARD #4: Use the numbers 0 through 3 to represent the yellow marbles and 4 through 9 to represent the other marbles.
Lastly, we will apply the same logic for this card. The 4 numbers allotted for yellow marbles will tell us that the ratio of the yellow marbles to the total marbles should be 2/5. The only situation that satisfies this would be the one with 20 red marbles, 30 blue marbles, 10 green marbles, and 40 yellow marbles.
Answer:
x=4
Step-by-step explanation:
First you add the values with x and theese without x:
(3x+8x+7x)+(9-6-2)=73
18x+1=73
Then you subtract (-1) from both sides:
18x=72
And then you divide by 18:
x=72:18=4
Answer:
y+29103.83045673370361328125
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Four and fifteen thousandths using base ten numerals is <span>4.015</span>
