Answer:
35
Step-by-step explanation:
35 : 14 = 5 : 2
Answer:
<u><em>45/49</em></u>
Step-by-step explanation:
You do the inverse operation so 7/15=15/7. 15/7×3/7= 45/49. You can't simplify it any further so it is 45/49.
Answer:
x = 7.5
Step-by-step explanation:
Since we see that sides AD and DC are equal, as well as sides BE and EC, we can use this information to conclude that the value of 2x-7 is equal to double the value of DE.
2x - 7 = 4(2)
2x - 7 = 8
2x - 7 + 7 = 8 + 7
2x = 15
x = 7.5
Answer:
10 hours
Step-by-step explanation:
(150/x) + 1.5 + (450/(x+15)) = 600/x
Multiply through by x(x + 15):
150(x + 15) + 1.5x(x + 15) + 450x = 600(x + 15)
150x + 2250 + 1.5x^2 + 22.5x + 450x = 600x + 9000
150x + 2250 + 1.5x^2 + 22.5x + 450x - 600x - 9000 = 0
1.5x^2 + 22.5x - 6750 = 0
x = (-22.5 +/- sqrt(22.5^2 - 4(1.5)(-6750))) / (2*1.5)
x = (-22.5 +/- sqrt(506.25 + 40500)) / 3
x = (-22.5 +/- sqrt(41006.25)) / 3
x = (-22.5 +/- 202.5) / 3
x = 180/3 or -225/3
x = 60 or -75
But a negative number doesn't make sense, so therefore x = 60, so the journey took 600/60 = 10 hours.
