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dlinn [17]
3 years ago
15

Emma is training for a 10-kilometer race. She wants to beat her last 10-kilometer time, which was 1 hour 10 minutes. Emma has al

ready run for 55 minutes. Which inequality can be used to find how much longer she can run and still beat her previous time? (1 hr = 60 min)
help as fast as you can ?
Mathematics
2 answers:
mariarad [96]3 years ago
8 0
For this case, the first thing that we must take into account is the following conversion:
 1 hr = 60 min
 The time of the first race in minutes is:
 1 hour 10 minutes = 60 minutes + 10 minutes
 1 hour 10 minutes = 70 minutes
 Now we define one variable:
 x: time remaining to beat the previous time
 The inequation that models the problem is:
 x + 55 \ \textless \ 70

 Answer:
 
An inequality that can be used to find how much longer she can run and still beat her previous time is:
 
x + 55 \ \textless \ 70
STALIN [3.7K]3 years ago
7 0

Answer:

x < 15

Step-by-step explanation:

Emma's previous time was 1 hour 10 minutes.  This is equal to

60+10 = 70 minutes.

She has already run 55 minutes; this means the remaining time, x, added to 55 must be less than 70 in order to beat her previous time:

x + 55 < 70

Subtract 55 from each side:

x + 55-5 < 70-55

x < 15

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Answer: the rate at which the distance between the boats is​ increasing is 68 mph

Step-by-step explanation:

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Applying Pythagoras theorem

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Therefore

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To determine the rate at which the distances are changing, we would differentiate with respect to t. It becomes

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z = √1156

z = 34 miles

Substituting these values into equation 1, it becomes

2 × 34 × dz/dt = (2 × 16 × 32) + 2 × 30 × 60

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