2. Karen was cutting out some fabric
2 answers:
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Answer: FALSE.
Step-by-step explanation:
Given the following equation provided in the exercise:
You need to solve for the variable "x".
In order to solve for "x" you can folllow the steps shown below:
1. You must apply the Addition property of equality and add 13 to both sides of the equation. Then:
2. Finally you need to apply the Subtraction property of equality and subtract "x" from both sides of the equation. So you get:
Therefore, as you can observe, the given equation has no solutions.
Answer:
Only the second and third statements are correct:
Doubling <em>r</em> quadruples the volume.
Doubling <em>h</em> doubles the volume.
Step-by-step explanation:
The volume of a cylinder is given by:
We can go through each statement and examine its validity.
Statement 1)
If the radius is doubled, our new radius is now 2<em>r</em>. Hence, our volume is:
So, compared to the old volume, the new volume is quadrupled the original volume.
Statement 1 is not correct.
Statement 2)
Using the previous reasonsing, Statement 2 is correct.
Statement 3)
If the height is doubled, our new height is now 2<em>h</em>. Hence, our volume is:
So, compared to the old volume, the new volume has been doubled.
Statement 3 is correct.
Statement 4)
Statement 4 is not correct using the previous reasonsing.
Statement 5)
Doubling the radius results in 2<em>r</em> and doubling the height results in 2<em>h</em>. Hence, the new volume is:
So, compared to the old volume, the new volume is increased by eight-fold.
Statement 5 is not correct.