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katen-ka-za [31]
2 years ago
15

A train leaves a train station at 1 p.m. it travels at an average rate of 60 mi/hr. a high-speed train leaves the same station a

n hour later. it travels at an average rate of 96 mi/hr. the second train follows the same route as the first train on a track parallel to the first. in how many hours will the second train catch up with the first train?
Mathematics
1 answer:
aleksklad [387]2 years ago
7 0
The second train will catch up with the first train in 1.6 hours
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HELP ASAP ITS SO HARD! Kelsey did the following division problem. Her teacher says that the quotient she found is wrong. −2 5/6
SpyIntel [72]

Part A

Her steps were

-2 \frac{5}{6} \div 1 \frac{1}{3}\\\\-\frac{17}{6} \div \frac{4}{3}\\\\-\frac{6}{17} \times \frac{3}{4}\\\\-\frac{6\times 3}{17\times4}\\\\-\frac{18}{68}\\\\-\frac{9}{34}\\\\

Kelsey made a mistake on line 3. Note how the 17/6 flips to 6/17. This is not correct. You keep the first fraction the same, but you do flip the second fraction. This only applies when you divide two fractions.

The third step should look like -\frac{17}{6}\times \frac{3}{4}

=======================================================

Part B

Here's what she should have written

-2 \frac{5}{6} \div 1 \frac{1}{3}\\\\-\frac{17}{6} \div \frac{4}{3}\\\\-\frac{17}{6} \times \frac{3}{4}\\\\-\frac{17\times 3}{6\times 4}\\\\-\frac{51}{24}\\\\-\frac{17}{8}\\\\

If you want to convert that improper fraction to a mixed number, then you could do something like this

-\frac{17}{8} = -\frac{16+1}{8}\\\\-\frac{17}{8} = -\frac{16}{8}-\frac{1}{8}\\\\-\frac{17}{8} = -2 \frac{1}{8}\\\\

Or you could divide 17 over 8 using long division to get 2 remainder 1. The 2 is the quotient that goes to the left of the 1/8. The remainder of 1 is the numerator of 1/8.

4 0
3 years ago
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PLEASE HELP! FUNCTIONS
satela [25.4K]

Answer: 7

Step-by-step explanation:

5 0
2 years ago
Which ordered pair could be removed from the graph to create a set of ordered pairs that represents a function
geniusboy [140]

Answer:

(1,3) is the answer if this is question because you haven't given graph.

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3 years ago
What is the final amount if 1548 is increased by 5% followed by a further 6% increase?
stiv31 [10]

Answer:

1,718.28

Step-by-step explanation:

1,548, percentage increased by 11% (percent) of its value = 1,718.28

3 0
3 years ago
If 3x – 10 = 17, what is the value of 6x + 20 ?
IceJOKER [234]
3x-10=17\ \ \ \ /+10\\\\3x-10+10=17+10\\\\3x=27\ \ \ \ /:3\\\\3x:3=27:3\\\\x=9\\\\\\\\6x+20=6\cdot9+20=54+20=74



3x-10=17\ \ \ /\cdot2\\\\2\cdot3x-2\cdot10=2\cdot17\\\\6x-20=34\ \ \ \ /+40\\\\6x-20+40=34+40\\\\6x+20=74
3 0
3 years ago
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