Answer: Leanna ran 39.96 miles before she was passed by Irina.
Step-by-step explanation:
When Irina would pass Leanna, they would have ran the same distance.
Let t represent the time that Leanna ran before she was passed by Irina.
Distance = speed × time
Leanna started in group E and ran at a rate of 4.8 miles per hour. The distance ran by Leanna before she was passed by Irina is
4.8 × t = 4.8t
During the race she was passed by Irina who ran at a rate of 5 miles per hour and started in group H, 20 minutes(20/60 = 0.333 hour) after Leanna started. The time spent by Irina in running this distance is
t - 0.333
Distance ran by Irina is
5(t - 0.333) = 5t - 1.665
Since they ran the same distance, then
4.8t = 5t - 1.665
5t - 4.8t = 1.665
0.2t = 1.665
t = 1.665/0.2 = 8.325 hours
Therefore, the distance that Leanna ran before she was passed by Irina is
4.8 × 8.325 = 39.96 miles
The answer to 12.92 * 2.5 is 32.3
<h3>
Answer:</h3>
For each birdhouse built, the total cost increases by $3.50.
<h3>
Step-by-step explanation:</h3>
Let's try some of the answers and see if they work.
The "initial cost" will be the cost when 0 birdhouses are built.
... f(0) = 3.5·0 +24 = 24 . . . . . clearly, not $3.50
Then increasing the number of birdhouses by 1, the cost is ...
... f(1) = 3.5·1 +24 = 27.5 . . . . . the cost has gone up (not down) by $3.50
Clearly the total cost to build 1 birdhouse is not $3.50. (It is $27.50.)
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Our exploration of the formula leads us to conclude ...
... For each birdhouse built, the total cost increases by $3.50.
Answer:
1a: f(-2) means substituting -2 for x
1b: 65
I don't know the second one
The answer is C.) 2002
The graph shows that the previous years have been under that, the number of markets is shown on the y axis