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Blababa [14]
2 years ago
10

Two trains 150 miles apart are traveling toward each other along the same track. The first train goes 60 miles per hour; the sec

ond train rushes along at 90 miles per hour. A fly is hovering just above the nose of the first train. It buzzes from the first train to the second train, turns around immediately, flies back to the first train, and turns around again. It goes on flying back and forth between the two trains until they collide. If the fly's speed is 120 miles per hour, how far will it travel?
Mathematics
1 answer:
Nataly_w [17]2 years ago
3 0

Answer:

120 miles

Step-by-step explanation:

Distance = 150 miles

train 1 = 60 mph

train 2 = 90 mph

directions of trains = towards each other

Time to meet = 150/(60+90) = 150 miles / 150 mph = 1 hour

Speed of fly = 120 mph

Since fly has been flying for one hour, it travelled 120 miles.

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The function f(x) = 300(0.5)x/100 models the amount in pounds of a particular radioactive material stored in a concrete vault, w
allsm [11]

The amount of the radioactive material in the vault after 140 years is 210 pounds

<h3>How to determine the amount</h3>

We have that the function is given as a model;

f(x) = 300(0.5)x/100

Where

  • x = number of years of the vault = 140 years
  • f(x) is the amount  in pounds

Let's substitute the value of 'x' in the model

f(x) = 300(0.5)x/100

f(x) = \frac{300(0.5) * 140}{100}

f(x) =\frac{21000}{100}

f(140) = 210 pounds

This mean that the function of 149 years would give an amount of 210 pounds rounded up to the nearest whole number.

Thus, the amount of the radioactive material in the vault after 140 years is 210 pounds

Learn more amount radioactive decay here:

brainly.com/question/11117468

#SPJ1

5 0
1 year ago
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