-13 because rate of change is basically slope
y = 7 - 13x converts to y = -13x + 7 which is slope - intercept form
the slope is "married" to the x in slope - intercept form
To find the average speed in miles per hour, you will create a rate using the number of miles to the number of hours in 45 minutes.
54 miles in 0.75 hours (45 minutes)
To make this a unit rate or miles per hour, divide the number of miles by the time.
54/0.75 = 72 mph
The train traveled an average speed of 72 mph.
Answer:
the answer is C
Step-by-step explanation:
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8 - 4x - m = 5x + 30 - 2
8 - 4x - m = 5x + 28
+4x +4x
8 - m = 9x + 28
-8 -8
-m = 9x + 28
Or if you are finding the value of X
-m = 9x + 28
-28 -28
-m - 28 = 9x
Divide both sides by 9
(-m - 28) = x
9
of
is ![6\frac{1}{7}](https://tex.z-dn.net/?f=6%5Cfrac%7B1%7D%7B7%7D)
Solution:
Given
of what number is
.
Let us first convert the mixed fraction into improper fraction.
![$2\frac{2}{3}=\frac{(2\times3)+2}{3}=\frac{8}{3}](https://tex.z-dn.net/?f=%242%5Cfrac%7B2%7D%7B3%7D%3D%5Cfrac%7B%282%5Ctimes3%29%2B2%7D%7B3%7D%3D%5Cfrac%7B8%7D%7B3%7D)
![$6\frac{1}{7}=\frac{(6\times7)+1}{3}=\frac{43}{3}](https://tex.z-dn.net/?f=%246%5Cfrac%7B1%7D%7B7%7D%3D%5Cfrac%7B%286%5Ctimes7%29%2B1%7D%7B3%7D%3D%5Cfrac%7B43%7D%7B3%7D)
Now, let us take the unknown number be x.
![$2\frac{2}{3}\times x=6\frac{1}{7}](https://tex.z-dn.net/?f=%242%5Cfrac%7B2%7D%7B3%7D%5Ctimes%20x%3D6%5Cfrac%7B1%7D%7B7%7D)
![$\frac{8}{3}\times x=\frac{43}{7}](https://tex.z-dn.net/?f=%24%5Cfrac%7B8%7D%7B3%7D%5Ctimes%20x%3D%5Cfrac%7B43%7D%7B7%7D)
Do the cross multiplication.
![$ x=\frac{43}{7}\times\frac{3}{8}](https://tex.z-dn.net/?f=%24%20x%3D%5Cfrac%7B43%7D%7B7%7D%5Ctimes%5Cfrac%7B3%7D%7B8%7D)
![$ x=\frac{43\times3}{7\times8}](https://tex.z-dn.net/?f=%24%20x%3D%5Cfrac%7B43%5Ctimes3%7D%7B7%5Ctimes8%7D)
![$ x=\frac{129}{56}](https://tex.z-dn.net/?f=%24%20x%3D%5Cfrac%7B129%7D%7B56%7D)
Now, again change the improper fraction into mixed fraction.
![$ x=2\frac{17}{56}](https://tex.z-dn.net/?f=%24%20x%3D2%5Cfrac%7B17%7D%7B56%7D)
Hence
of
is
.