many more miles of road are left to build .
<u>Step-by-step explanation:</u>
Here we have , A construction crew must build 4 miles of road in one week. On Monday, they build 1/2 mile of road. On Tuesday, they build 1/3 mile of road. We need to find that How many more miles of road are left to build . Let's find out:
- On Monday, they build 1/2 mile of road.
- On Tuesday, they build 1/3 mile of road.
Let Miles of road left to build is x So,
⇒ ![\frac{1}{2} +\frac{1}{3} +x = 4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%2B%5Cfrac%7B1%7D%7B3%7D%20%2Bx%20%3D%204)
⇒ ![x = 4 - (\frac{1}{2} +\frac{1}{3})](https://tex.z-dn.net/?f=x%20%3D%204%20-%20%28%5Cfrac%7B1%7D%7B2%7D%20%2B%5Cfrac%7B1%7D%7B3%7D%29)
⇒ ![x = 4 - (\frac{1(3)+1(2)}{6} )](https://tex.z-dn.net/?f=x%20%3D%204%20-%20%28%5Cfrac%7B1%283%29%2B1%282%29%7D%7B6%7D%20%29)
⇒ ![x = 4 - (\frac{5}{6} )](https://tex.z-dn.net/?f=x%20%3D%204%20-%20%28%5Cfrac%7B5%7D%7B6%7D%20%29)
⇒ ![x = (\frac{4(6)-5}{6} )](https://tex.z-dn.net/?f=x%20%3D%20%20%28%5Cfrac%7B4%286%29-5%7D%7B6%7D%20%29)
⇒ ![x = \frac{24-5}{6}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B24-5%7D%7B6%7D)
⇒ ![x = \frac{19}{6}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B19%7D%7B6%7D)
Therefore,
many more miles of road are left to build .
9x squared over d
hope this helps:)
Answer:
![y-2=3(x-1)](https://tex.z-dn.net/?f=y-2%3D3%28x-1%29)
Step-by-step explanation:
The point-slope form of a line is given as:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
Where
m is the slope
is the x-coordinate of the point given (passing through the line)
is the y-coordinate of the point given (passing through the line)
Now,
Given,
Slope = m = 3
= 1
= 2
Now, we simply plug these into the formula for point-slope form of a line:
![y-y_1=m(x-x_1)\\y-2=3(x-1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29%5C%5Cy-2%3D3%28x-1%29)
This is the point-slope form.
Answer:
6cm
Step-by-step explanation:
Given data
Width= 4.6cm
Length= 9cm
Volume= 82.8cm^3
The expression for the volume is given as
V= lwh/3
82.8= 9*4.6*h/3
cross multiply
82.8*3= 9*4.6*h
248.4= 41.4h
h= 248.4/41.4
h= 6cm
Ok this one is easier than you might think. The line equals 180 degrees since it is a straight line, therefore you need to do 180-27 to get what y equals. Y=153