8x-12=36
Let's solve your equation step-by-step.
<span><span><span>8x</span>−12</span>=36
</span>Step 1: Add 12 to both sides.
<span><span><span><span>8x</span>−12</span>+12</span>=<span>36+12
</span></span><span><span>8x</span>=48
</span>Step 2: Divide both sides by 8.
<span><span><span>8x/</span>8</span>=<span>48/8
</span></span><span>x=6
</span>Answer: x=6
9 + 6u = 7u
u = 9 (Subtract "6u" from both sides)
Answer:
![[6\frac{1}{6},6\frac{1}{3},6\frac{1}{2},6\frac{2}{3},6\frac{5}{6}]](https://tex.z-dn.net/?f=%5B6%5Cfrac%7B1%7D%7B6%7D%2C6%5Cfrac%7B1%7D%7B3%7D%2C6%5Cfrac%7B1%7D%7B2%7D%2C6%5Cfrac%7B2%7D%7B3%7D%2C6%5Cfrac%7B5%7D%7B6%7D%5D)
Step-by-step explanation:
we have the compound inequality

where
x is a mixed number
so
The solution for the compound inequality are the numbers
![[6\frac{1}{6},6\frac{2}{6},6\frac{3}{6},6\frac{4}{6},6\frac{5}{6}]](https://tex.z-dn.net/?f=%5B6%5Cfrac%7B1%7D%7B6%7D%2C6%5Cfrac%7B2%7D%7B6%7D%2C6%5Cfrac%7B3%7D%7B6%7D%2C6%5Cfrac%7B4%7D%7B6%7D%2C6%5Cfrac%7B5%7D%7B6%7D%5D)
Simplify the numbers
![[6\frac{1}{6},6\frac{1}{3},6\frac{1}{2},6\frac{2}{3},6\frac{5}{6}]](https://tex.z-dn.net/?f=%5B6%5Cfrac%7B1%7D%7B6%7D%2C6%5Cfrac%7B1%7D%7B3%7D%2C6%5Cfrac%7B1%7D%7B2%7D%2C6%5Cfrac%7B2%7D%7B3%7D%2C6%5Cfrac%7B5%7D%7B6%7D%5D)
Answer:
20 meters
Step-by-step explanation:
Firstly we need to know that distance = speed * time
In this particular question, we have the time and the speed, we are only told to find the distance.
Now as we can see, the units are not consistent. While the average speed is 30mph, the time is not in hours but minutes. So practically, we have to convert the time to hours.
Since there are 60 minutes in an hour, the number of hours in 40 minutes would be 40/60 = 2/3 hours.
Now we can proceed to find the distance. We simply multiply the average speed with the time.
Hence, that is 30 * 2/3 = 20 meters
height or altitude for a parallelogram means the perpendicular distance from one parallel side to the other. Check the picture below.