Answer: Both trains would meet at 1 pm
Step-by-step explanation:
Let t represent the time at which both trains will pass each other.
The distance between the cities is 360 miles. This means that by the time both trains meet, the total distance covered would be 360 miles.
Distance = speed × time
The freight train is travelling at 50 mph. Distance covered by the freight train in t hours is 50t.
The passenger train is travelling at 70 mph. Distance covered by the passenger train in t hours is 70t.
Since the total distance covered is 360 miles, it means that
50t + 70t = 360
120t = 360
t = 360/120
t = 3 hours
Both trains would meet at 1 pm
So 52 weeks in a year so
13,644.8/52=262.4 per week
53.8 is deducted from 262.4
so the deduction is 53.8 then the answer is
262.4-53.8=208.6
the 10% and 15% part is of the yearly income and 53.8 is 15% of 262.4 so that part doesn't matter
the answer of net pay is 208.6 dollars
Answer:
a. false
b. true
c. true
d. true
e. false
Step-by-step explanation:
a. False. The "unit rate" is 19.75 gallons per minute. The "unit" of a "unit rate" is in the denominator. Here, the denominator of the rate is 1 minute.
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b. True. A graph of a proportional relationship is a straight line through the origin.
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c. True. In 5 minutes, the water in the pool will increase by 98.75 gallons, about 100 gallons.
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d. True. The ratio of a y-value to an x-value will always be 19.75. That is the meaning of this proportional relationship.
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e. False. The points (8, 158) or (7.5949, 150) will be on the graph. The point (8, 150) will not.
2s+14=12
2s=-14+12
2s=-2
s=-2÷2
s=-1
The square root of 700 is about 26.45, so it lies between 26 and 27
