Answer:
3
Step-by-step explanation:
Darian's plans are 3 feet long, and they're for a table 9 feet long. The scale factor is 9/3 = 3. That is, he must multiply the plan size by 3 to get the actual size.
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A scale factor is usually expressed as a fraction: (model size)/(real size). Here, it looks like you want a dilation factor that is (real size)/(model size).
The rate of change is also known as the slope. The formula to find the slope of a line is (y2 - y1) / (x2 - x1).
You can use any two points, as long as both are on the line.
Point 1 = (2, 55)
Point 2 = (8, 220)
slope = (220 - 55) / (8 - 2)
slope = 165 / 6
slope = 55 / 2 = 27.5 / 1
Lavaughn earns $27.50 for working one hour.
Hope this helps!
175 * .8915 = 156.0125 American Dollars.
You would receive $156.01
The greatest common factor (GCF) of 49 and 63 is: 7
To find the GCF, you simply gather up the factors for both of the numbers, but make sure you only write out the factors that are less or equal to 49, since you shouldn't go over the minimum number.
Factors of 49: 1, 7, 49
Factors of 63: 1, 3, 7, 9, 21
Now that we know the factors of both of the numbers, we should find the most common between them. Which numbers are common between the two numbers? The common factors of them are 1 and 7, but we are looking for the greatest common factor. Now, which is the greatest of 1 and 7? It is 7, since 7 is a higher number than 1.
Answer: See steps and explanation below. The value 5 makes the equation true.
9(3x - 16) + 15 = 6x - 24 Distributive Property
27x - 144 + 15 = 6x - 24 Combine like terms
27x - 129 = 6x - 24 Subtract 6x from both sides
21x - 129 = -24 Add 129 to both sides
21x = 105 Divide both sides by 21
x = 5 Answer!
