Answer:
t= 2.52 hours
Step-by-step explanation:
It is given that for first 30 km, the speed of bicyclist is v km/hour
time taken to cover first 30 km is given by
(
)
for next 17 km the speed of bicyclist is 2 km/hour greater than his original speed
so the speed to cover next 17 km = v+2
time taken to cover next 17 km is given by
![t_{2} =\frac{17}{v+2}](https://tex.z-dn.net/?f=t_%7B2%7D%20%3D%5Cfrac%7B17%7D%7Bv%2B2%7D)
now total time t spent by the bicyclist to cover entire trip is given by
![t=t_{1} +t_{2}](https://tex.z-dn.net/?f=t%3Dt_%7B1%7D%20%2Bt_%7B2%7D)
![t=\frac{30}{v} +\frac{17}{v+2}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B30%7D%7Bv%7D%20%2B%5Cfrac%7B17%7D%7Bv%2B2%7D)
now if v=18 , we have
![t=\frac{30}{18} +\frac{17}{20}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B30%7D%7B18%7D%20%2B%5Cfrac%7B17%7D%7B20%7D)
now to add fractions we make the denominator same
Hence we will find the LCM of 18 and 20
LCM of 18 and 20 = 180
now we need to make both the denominator equal to 180
![t=\frac{30(10)}{18(10)} +\frac{17(9)}{20(9)}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B30%2810%29%7D%7B18%2810%29%7D%20%2B%5Cfrac%7B17%289%29%7D%7B20%289%29%7D)
![t=\frac{300}{180} +\frac{153}{180} =\frac{300+153}{180}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B300%7D%7B180%7D%20%2B%5Cfrac%7B153%7D%7B180%7D%20%3D%5Cfrac%7B300%2B153%7D%7B180%7D)
hours (approx)
Answer:
-32
Step-by-step explanation:
-32/-4 = 32/4 = 8
8 - 5 = 3
Answer:
incorrect
Step-by-step explanation:
the volume of a cube = s³ ( where s is the length of the side )
to find s take the cube root
s =
= 3
since 3 × 3 × 3 = 27
Answer:
all real numbers less than or equal to –3
Step-by-step explanation:
Look at the y-values that the graph shows. There are none greater than -3. Any value of -3 or less is possible.