Given:
Length of cloth = 9 yards
Length of pieces = 
yards each
To find:
The number of pieces of cloths after cutting.
Solution:
Let n be the number of required pieces.
Length of each piece is yards. So, the length of n pieces is 
yards.
The length of the whole cloth is 9 yards. So, yards must be equal to 9 yards.
Multiply both sides by 3.
Therefore, the Greata have 27 pieces of cloths.
To solve this conversion factor problem we are going to multiply our original quantity 800hm by conversion factors (expressed as fractions) in order to cancel units until we get centimeters:
We know that 1 hectometer= 100 meters, so our first conversion factor expressed as a fraction is
We also now that 1 meter = 100 centimeters, so our second one is
Now that we have our fractions, lets multiply our original quantity by them to get our answer in the required units:
We can conclude that 800hm are
8,000,000cm
Answer:
30 inches squared
Step-by-step explanation:
First, find the area of the entire frame using length times height. 9*6 is 54 inches squared. Then, find the area of the middle space the same way. 6*4 is 24 inches squared. Lastly, subtract the middle from the entire frame's area. 54-24 is 30 inches squared.
Answer:
31.5 square inches
Step-by-step explanation:
First, you need to enlarge each side with a scale factor of 1.5.
7 inches = 10.5 inches
2 inches = 3 inches
The new sides are 10.5 and 3 inches long. Now, you need to use these side lengths in the area formula of a rectangle.
A = Bh
A = 10.5(3)
A = 31.5 in.²
Answer:
Correct option: first one
Step-by-step explanation:
The equation f(x) = 5x + 1 is a function, because each value of x gives only one value of y.
Now let's find the inverse by switching f(x) by x and x by f'(x), then isolating f'(x):
The inverse f'(x) is also a function, because each value of x gives only one value of x.
So we have that both the equation and its inverse are function, therefore the correct answer is the first option.
