Answer:
255
Step-by-step explanation:
170/16 = 10.625
10.625 x 24 = 255
Answer:
3.33 meters per second
Step-by-step explanation:
you must find the total time that Mr. B spent to complete the swim and bike.
Information:
0h 25' 10'' ---------> Swim
1h 30' 50'' ---------> Bike
![hours = 0 + 1 = 1\\minutes = 25+30 = 55\\seconds = 10+50=60\\](https://tex.z-dn.net/?f=hours%20%3D%200%20%2B%201%20%3D%201%5C%5Cminutes%20%3D%2025%2B30%20%3D%2055%5C%5Cseconds%20%3D%2010%2B50%3D60%5C%5C)
he spent 1h 55' 60'', this is 1h 56'.
now you must substract this time from the record time to find the time alloted to run:
first you convert both times into minutes:
![record \ time = 2(60) + 46 = 166 \ minutes \ \ \ \ multiply \ hours \ by \ 60 \ minutes\\time\ swim \ and \ bike = 1(60) + 56 = 116 \ minutes\\](https://tex.z-dn.net/?f=record%20%5C%20time%20%3D%202%2860%29%20%2B%2046%20%3D%20166%20%5C%20minutes%20%5C%20%5C%20%5C%20%5C%20multiply%20%5C%20hours%20%5C%20by%20%5C%2060%20%5C%20minutes%5C%5Ctime%5C%20swim%20%5C%20and%20%5C%20bike%20%3D%201%2860%29%20%2B%2056%20%3D%20116%20%5C%20minutes%5C%5C)
now substracting:
![time \ to \ run \ = record \ time \ - \ time \ swim \ and \ bike\\time \ to \ run \ = 166 - 116 = 50 \ minutes](https://tex.z-dn.net/?f=time%20%5C%20to%20%5C%20run%20%5C%20%3D%20record%20%5C%20time%20%5C%20-%20%5C%20time%20%5C%20swim%20%5C%20and%20%5C%20bike%5C%5Ctime%20%5C%20to%20%5C%20run%20%5C%20%3D%20166%20-%20116%20%3D%2050%20%5C%20minutes)
so he must travel 10 km in 50 minutes, that is:
speed = distance/time
![speed = \frac{10}{50} \frac{km}{min}](https://tex.z-dn.net/?f=speed%20%3D%20%5Cfrac%7B10%7D%7B50%7D%20%5Cfrac%7Bkm%7D%7Bmin%7D)
1 km is equal to 1000 meters and 1 minute is equal to 60 seconds.
![speed = \frac{(10)}{(50)}\frac{(1000) meters}{(60) sec}\\\\speed = \frac{(10000)}{(3000)}\frac{meters}{sec} \ \ \ \ \ \ \ \ \ multiply \\\\speed = 3.33 \ meters/sec](https://tex.z-dn.net/?f=speed%20%3D%20%5Cfrac%7B%2810%29%7D%7B%2850%29%7D%5Cfrac%7B%281000%29%20meters%7D%7B%2860%29%20sec%7D%5C%5C%5C%5Cspeed%20%3D%20%5Cfrac%7B%2810000%29%7D%7B%283000%29%7D%5Cfrac%7Bmeters%7D%7Bsec%7D%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20multiply%20%5C%5C%5C%5Cspeed%20%3D%203.33%20%5C%20meters%2Fsec)
so Mr.B's speed must be 3.33 meters/sec
Answer:
(3)(x+7)(x-1)
Step-by-step explanation:
3x^2+18x-21
Let's start by taking 3 out of the equation.
3(x^2+6x-7)
Now, when we factor, we need to find two numbers that add up to 6 and multiply to -7.
The numbers would be 7 and -1.
So the factored form of this would be:
(3)(x+7)(x-1)
Answer:
7/4
Step-by-step explanation:
use cross multiplication and you are going to end up dividing 12 by 3 to get four as your denominator
Answer:
7+ x divided by 8
Step-by-step explanation:
sum is plus and quotient is divide