Divide 7/8 cup by 1/6 cup.
Write 7/8. Then invert 1/6 and multiply the result:
7 6
-- * --- = 42/8 = 5 2/8 = 5 1/4. She can make her recipe 5 times and have a bit of cheese left over.
8 1
You have to leave Y by itself in one side. To do that, you need to subtract 2x from both sides. You're now left with -3y = 8-2x. Last step is that you divide 3y, 8, and -2 by -3.
Good luck :)
Answer:
1 x 10^21
Step-by-step explanation:
The initial number (2 x 10^4) is in scientific notation. Scientific notation must be written as: a X 10^n, where 0<a<10 and n is an integer. In this case, the number in scientific notation is being raised to the power of 5. When we raise a power by another power, we must multiply the power of all the terms by the additional power. In this case, we would get 2^5 x 10^20, this would be 10 x 10^20. Since the value of 'a' needs to be greater than 0 and less than 10, we need to move the decimal to the left and add another power to our 10: 1 x 10^21.
The slope of the function for pronghorn antelope is 60.78 which infers that the rate of speed of the pronghorn is 60.78 miles per hour.
7) The given function that represents the speed of the pronghorn is
y = 60.78x - 5.4
Comparing this function with the general equation of a straight line
y = mx + c we can conclude that the slope of the function is 60.78 .
So the Pronghorn's rate of speed is 60.78 miles per hour.
8) Now the speed of the cheetah is given in the form of a table.
Let us take any two points on the graph
(0.5,21.85) and (2,118.60)
Slope of the line passing through these two points
= (118.6-21.85)/(2-0.5)
=64.5
So the slope of the graph is 64.5 and the average rate of speed of the Cheetah is 64.5 miles per hour.
9) From the above two slopes and the rate of speed we can conclude that the speed of the cheetah is 64.5 mph which is greater than that of the pronghorn 's speed of 60.78 miles per hour.
To learn more about slope visit:
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Answer:
y = 2x - 5
Step-by-step explanation:
y - 3 = 2 (x - 4)
y = 2x - 8 + 3
y = 2x - 5
