Set it up as a proportion. 14.25 miles is to 90 minutes as x is to 120 minutes.
We have to solve with like units of measure, so we have to change the hours to minutes before we can set up the proportion.
60 minutes= 1 hour
120 minutes = 2 hours
x= miles in 2 hours
14.25/90 = x/120
cross multiply
(14.25 * 120)= (90 * x)
1710=90x
divide both sides by 90
19= x
You could ride 19 miles in 120 minutes, so you could ride 19 miles in 2 hours.
Did you need help on #2 also?
Hope this helps! :)
Answer:
52 degrees
Step-by-step explanation:
ANSWER
![{x}^{2} - 6x + 9](https://tex.z-dn.net/?f=%7Bx%7D%5E%7B2%7D%20%20-%206x%20%2B%209)
EXPLANATION
The outermost square tile has side length,
![l = x - 3](https://tex.z-dn.net/?f=l%20%3D%20x%20-%203)
The area of a square is given by;
![Area= {l}^{2}](https://tex.z-dn.net/?f=Area%3D%20%7Bl%7D%5E%7B2%7D%20)
We substitite the given expression for the side length into the formula to obtain,
![Area= {(x - 3)}^{2}](https://tex.z-dn.net/?f=Area%3D%20%7B%28x%20-%203%29%7D%5E%7B2%7D%20)
![Area= {(x - 3)}(x - 3)](https://tex.z-dn.net/?f=Area%3D%20%7B%28x%20-%203%29%7D%28x%20-%203%29)
We expand using the distributive property to obtain;
![Area=x {(x - 3)} - 3(x - 3)](https://tex.z-dn.net/?f=Area%3Dx%20%7B%28x%20-%203%29%7D%20-%203%28x%20-%203%29)
This gives us:
![Area= {x}^{2} - 3x - 3x + 9](https://tex.z-dn.net/?f=Area%3D%20%7Bx%7D%5E%7B2%7D%20%20-%203x%20-%203x%20%20%2B%209)
![Area= {x}^{2} - 6x + 9](https://tex.z-dn.net/?f=Area%3D%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20%2B%209)
The last choice is correct.
Answer:
the range is 13
Step-by-step explanation:
Answer:
Step-by-step explanation:
=
4
−
4
+
5
=
9
−
4