Answer:
k=13
Step-by-step explanation:
3k+6+4k-7+90=180
7k+89=180
k=180-89/7
k=13
Answer:60 inches squared
Step-by-step explanation:
Answer:
x=1
Step-by-step explanation:
4x-6= -2
+6=+6
<u>4x</u>=<u>4</u>
4 = 4
x= 1
Answer:
![a = 145\ cm](https://tex.z-dn.net/?f=a%20%3D%20145%5C%20cm)
Step-by-step explanation:
Given
![a + b + c = 445](https://tex.z-dn.net/?f=a%20%2B%20b%20%2B%20c%20%3D%20445)
![a = 45 + b](https://tex.z-dn.net/?f=a%20%3D%2045%20%2B%20b)
![b = \frac{1}{2}c](https://tex.z-dn.net/?f=b%20%3D%20%5Cfrac%7B1%7D%7B2%7Dc)
Required
Determine the length of a
Solve for c in ![b = \frac{1}{2}c](https://tex.z-dn.net/?f=b%20%3D%20%5Cfrac%7B1%7D%7B2%7Dc)
![2 * b = \frac{1}{2}c * 2](https://tex.z-dn.net/?f=2%20%2A%20b%20%3D%20%5Cfrac%7B1%7D%7B2%7Dc%20%2A%202)
![2b = c](https://tex.z-dn.net/?f=2b%20%20%3D%20c)
![c = 2b](https://tex.z-dn.net/?f=c%20%3D%202b)
Substitute
and
in ![a + b + c = 445](https://tex.z-dn.net/?f=a%20%2B%20b%20%2B%20c%20%3D%20445)
![a + b + c = 445](https://tex.z-dn.net/?f=a%20%2B%20b%20%2B%20c%20%3D%20445)
![45 + b + b + 2b = 445](https://tex.z-dn.net/?f=45%20%2B%20b%20%2B%20b%20%2B%202b%20%3D%20445)
![45 + 4b = 445](https://tex.z-dn.net/?f=45%20%2B%204b%20%3D%20445)
Solve for 4b
![4b = 445 - 45](https://tex.z-dn.net/?f=4b%20%3D%20445%20-%2045)
![4b = 400](https://tex.z-dn.net/?f=4b%20%3D%20400)
Solve for b
![b = 400/4](https://tex.z-dn.net/?f=b%20%3D%20400%2F4)
![b = 100](https://tex.z-dn.net/?f=b%20%3D%20100)
Recall that: ![a = 45 + b](https://tex.z-dn.net/?f=a%20%3D%2045%20%2B%20b)
![a=45+100](https://tex.z-dn.net/?f=a%3D45%2B100)
![a = 145\ cm](https://tex.z-dn.net/?f=a%20%3D%20145%5C%20cm)
The speed of this:
70 miles per hour
1 hour = 60 minutes
70/60 = 7/6
around 1 1/6 mile per minute
hope this helps