By rewriting the equation from step 1 substituting the value of k into it, the value of x is 22.5
A direct variation is a type of variation that has two types of variables in which a variable can be expressed in terms of the other with its constant.
For example;
If x varies directly as y
<h3>Step 1:</h3>
Then
- x
y - x = ky ; where k is constant
<h3>Step 2:</h3>
The original question says:
- if x varies directly as y, and x = 9 when y = 6, find x when y = 15
∴
x = ky
9 = k × (6)
k = 9/6
k = 1.5
<h3>Step 3:</h3>
Now, we can rewrite the equation from step 1 substituting the value of k into it:
∴
x = ky
The value of (x) will be:
x = 1.5 (15)
x = 22.5
Learn more about Direct variation here:
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Answer:
18 + 81 = 9(x² + 6x + 9) 11 = (x + 3)²
Explanation:
because This is the value that completes the square. However, since the entire square is multiplied by 9, this value must be multiplied by 9 before we can add it across the equals:
18 + 9 (9) = 9 (x² + 6x + 9)
18 + 81 = 9 (x² + 6x + 9)
99 = 9 (x² + 6x + 9)
Dividing both sides by 9, we have:
11 = x² + 6x + 9
11 = (x + 3) ²
Answer: copper > chalk > flour > talcum powder > dry beans.
Explanation:
Density is the compactness of given object.
Basically, it is mass per volume.
copper has the most density
chalk has lesser density than copper.
flour has lesser density than copper and chalk.
talcum powder has lesser density than copper, chalk and flour.
dry beans have lesser density than copper, chalk, and flour.
So, it becomes,
copper > chalk > flour > talcum powder > dry beans.
Answer: 1.08(99.95x) + 5 total nights
Explanation: