Answer:
11.9 miles
Step-by-step explanation:
The length of the track is ...
C = 2πr = 2π(200 ft) = 400π ft
Then the length of 50 laps will be ...
50C = 50·(400π ft) = 20,000π ft ≈ 62,831.9 ft
The number of miles (m) this is can be found from ...
m(5280 ft) = 62,831.9 ft
m = 62,831.9/5280 ≈ 11.90 . . . . miles
50 laps is about 11.9 miles.
Answer:
The second boat will catch up in 8.5 hours, and they will be 187 km from their port.
Step-by-step explanation:
Since the system of equations are d=18t+34 and d=22t, you first rewrite d=18t+34 as an equation. 18t+34=22 and that equals to 8.5=t. Then you solve the next one d=22t and the answer you got from the other equation, you substitute d=22(8.5) and that equals to 187.
Answer:
24 :)
Step-by-step explanation:
2 / 3 x 36 = ?
First of all, note that 36 is the same as 36/1 since 36 divided by 1 is 36. Therefore, start by setting up the problem like this:
36 / 1 x 2 / 3
Multiply the numerators together (36 x 2 = 72) and multiply the denominators together (1 x 3 = 3) and make it into one fraction like so:
72 / 3
The greatest common factor of 72 and 3 is 3. Minimize the fraction by dividing the numerator and the denominator by its greatest common factor to get:
24 / 1
Convert the improper fraction above to a whole number to get the answer:
24
Hope this helps :)
The given proportion is expressed as
y/5 = 7/8
If we crossmultiply, it becomes
y * 8 = 7 * 5
8y = 35
y = 35/8
y = 4.375
Rounding to the nearest tenth,
y = 4.4
1) 5.3 (repeating)
2) 7.1
3) 27.6
4) 2.76
5) 5 4/7
6) 5 13/25
7) 2 1/4
8) 1 5/9
I hope this helps you :3