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andre [41]
3 years ago
14

You ran 3 1/2 mi in 3/4 hr your friend ran 1 2/5 mi in 1/3hr which of you ran faster

Mathematics
1 answer:
notka56 [123]3 years ago
6 0
"You" ran faster. 3 1/2 mi. turn into 3 5/10 mile. 1 2/5 mi. turn into 1 4/10 mile. 3/4 of an hour is 45 min. 1/3 of an hour is 20 min. Therefore you multiply 1 4/10 times 2 to get 2 8/10 mi. in 40 min. Since your friend needs 5 more min. to be at the same time as you, you divide 20 (1/3 of an hour) by 4. Which gives you 5 minutes. Now, take the 1 2/5 of the mile. and divide that by 4. Which according to Symbolab.com gives you 1/10. Now go back to the beginning, you ran 3 5/10 mi. in 45 minutes. Your friend ran 2 8/10 in 40 min. Now that we know 5 min. equals 1/10 miles, you can add that to your friend. which means she/he ran 2 9/10 mi. in 45 min. In conclusion, you ran farther that your friend in 45 min. "You" ran faster. (:
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Hello!

To find the slope-intercept form equation of the line that passes through the two points is found by first, calculating the slope using the slope formula and substitution, and secondly, finding the y-intercept of the equation through substitution.

Remember, slope-intercept form is written as: y = mx + b, where m is the slope and b is the y-intercept.

1. Find the slope

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In this case, x_{1} and x_{1} is assigned to the ordered pair (1,3), while x_{2} and y_{2} is assigned to (3, 7). After assigning these points, you can substitute the pairs into the formula and simplify.

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The slope of these two points is 2.

2. Find the y-intercept

To find the y-intercept, you substitute an ordered pair into the slope-intercept equation with the slope that was just calculated. We can use either ordered pair because it will result in the same y-intercept.

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The y-intercept of the two points is (0, 1).

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