Answer:
Step-by-step explanation:
From the question, we are informed that Michael and Tyler both ran a half marathon and that Michael finished in 1 hour, 42 minutes and 13 seconds while Tyler finished in 97 minutes and 49 seconds.
First, we should know that 60 minutes makes 1 hour, therefore we need to change Tyler's time taken to finish the marathon appropriately. Since Tyler finished in 97 minutes and 49 seconds, this will be converted to 97 minutes equals 1 hour 37 minutes. Therefore, Tyler used 1 hour, 37 minutes and 49 seconds.
Since Michael finished in 1 hour, 42 minutes and 13 seconds while Tyler finished in 1 hour, 37 minutes and 49 seconds. We can see that Tyler is faster than Michael.
To know how much faster Tyler was, we subtract Tyler's time from Michael's. This will be:
= (1 hour, 42 minutes 13 seconds) - (1 hour, 37 minutes, 49 seconds)
= 4 minutes, 24 seconds.
Tyler was faster by 4 minutes, 24 seconds.
11/44 reduces to 1/4
1/4 of the trout caught were tagged.
185 trout were tagged
185 / 1/4 = 740
There are 740 total trout.
Answer:
(17 + 4)/4
Step-by-step explanation:
"of the sum of 17 and 4" = 17 + 4
"1/4 of"... = 1/4
Put the two expressions together:
1/4 * (17 + 4)
(17 + 4)/4 is your answer.
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To calculate the sum of the first thirteen terms of the geometric series, we use the formula below.
Formula:
- S₁₃ = a(rⁿ-1)/(r-1).............. Equation 1
Where:
- S₁₃ = Sum of the first thirteen terms of the geometric series.
- a = First term of the series
- r = Common ratio
Given:
Substitute these values into equation 1
- S₁₃ = -10(3¹³-1)/(3-1)
- S₁₃ = -7971615