Given that, the time (t) taken to complete a journey varies directly as the distance (d) and inversely as the average speed (s).
Hence, we can set an equation as following:
t = k\frac{d}{s}
Other information is that it takes 3 hours to complete a 280km trip at 80km/h.
So, plug in t = 3, d = 280 and s = 80 in the above equation to get the value of k. Therefore,
Divide each sides by 3.5.
k = 0.857142857
So, k = 0.857
Now we need to find the time when d= 546 and s = 65. So, plug in these values in the above equation to get the value of t. Hence,
t = 0.857*\frac{546}{65}
= 0.857 * 8.4
= 7.1988
= 7 hours ( Rounded to nearest integer).
So, it will take 7 hours.
Hope this helps you!
Step-by-step explanation:
4x-3x/2+1)-10(2x+1/4x-3)=3
4x-3x/2+1-20x+5/2x-3=3
collect like terms
4x-20x-3x/2+5x/2=3-1+3
-17x=5
-17x/17=5/-17=-0.3
Answer: D
Step-by-step explanation:
(x-9)² = x-3
(x-9) (x-9)= x-3
x² - 9x-9x +81 = x-3
x² -18x+81 =x-3
x²-19x+84 =0
(x-12)(x-7)=0
x=12 or 7
Answer:
8.25
Step-by-step explanation:
9514 1404 393
Answer:
y -4 = -2(x -3)
Step-by-step explanation:
The point-slope form of an equation for a line through point (h, k) with slope m is ...
y -k = m(x -h)
You have (h, k) = (3, 4) and m = -2, so your equation is ...
y -4 = -2(x -3)