Question:- Alana biked 12 miles in 48 minutes. What is Alana's speed in miles per minute?
Answer:-
Set up a proportion.
12/48 = 1/x
Cross multiply.
12*x = 12x
48*1 = 48
12x = 48
12x/12 = 48/12
x= 48/12
x= 4
Now, we have our final answer. x = 4
Final answer:- Alana bikes 4 miles per minute.
Answer:
1/2
Step-by-step explanation:
Just divide 7 by 18.
7/18 = 0.38888888889
The inequality is t < 55
<em><u>Solution</u></em><em><u>:</u></em>
Given that, To qualify for the championship a runner must complete the race in less than 55 minutes
Let "t" represent the time in minutes of a runner who qualifies for the championship
Here it is given that the value of t is less than 55 minutes
Therefore, "t" must be less than 55, so that the runner qualifies the championship
<em><u>This is represented by inequality:</u></em>

The above inequality means, that time taken to complete the race must be less than 55 for a runner to qualify
Hence the required inequality is t < 55
Answer:
bigger angle is 117°
Step-by-step explanation:
x+x+54= 180 (when two angles are complementary it means that their sum is 180 degrees)
2x+54=180
2x= 180-54
2x=128
x=126/2
x= 63
x1= smaller angle
x1= 63
x2= bigger angle
x2= 63+54
x2=117