Answer:
Let the speed of the train be x km/h.
Case 1:
Distance = 288 km
Speed = x km/h
Time = Distance/Speed
= 288/x h
Case 2:
Distance = 288 km
Speed = (x+4) km/h
Time = 288/x + 4 h
Since 288/x > 288/x + 4
288/x - 288/x+4 = 1
288[1/x - 1/x+4 ] = 1
[ x + 4 - x / x(x + 4) ] = 1/288
[4 / x^2 + 4x ] = 1/288
x^2 + 4x = 1152
x^2 + 4x - 1152 = 0
x^2 + 36x - 32x - 1152 = 0
x(x + 36) - 32(x + 36) = 0
(x + 36)(x - 32) = 0
x + 36 = 0 , x - 32 = 0
x = -36 , x = 32
x = -36 , rejected since speed cannot be negative.
Therefore , speed of the train = 32 km/h
Answer:
21 glasses of water.
Step-by-step explanation:
You can do a proportion.
or
1 glass/1/6 of a bottle.
x glasses/3.5 bottles.
You can cross multiply.
1/6 times x is 1/6x
1 times 3.5 is 3.5/
1/6x=3.5.
do the reciprocal of 1/6 which is 6.
So, 6 times 3.5 is 21.
Therefore, you have 21 glasses of water.
K=y•x
Inverse means 1/variable
y=k•1/x
y=k/x
k=y•x
x=5
y=2.4
k=2.4 • 5
k=12
Answer is:
y=12/x
Good luck.
Answer:
The slope of the line is 5 because anything that has an x is the slope of the equation
Step-by-step explanation:
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