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DiKsa [7]
3 years ago
14

Hans is on his way home in his car. He has driven 8 miles so far, which is one-fourth of the way home. What is the total length

of his drive?
Mathematics
1 answer:
icang [17]3 years ago
6 0
8x4= 32miles

Hope you are satisfied 
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Write an equation of the given line that passes through the given point and has the given slope m
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Answer:

y = 2x - 9

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Use slope intercept form, y = mx + b

Plug in the slope, x, and y, then solve for b:

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Answer: 3\ min\ 12\ s

Step-by-step explanation:

The complete exercise is: "Tomos is a skier he completed a ski race in 2 min 6 seconds the race was 525 m in length. Tomos assumes that his average speed is the same for each race. using this assumption, work out how long tomos should take to complete an 800 m race give your answer in minutes and seconds"

For this exercise you can use the following formula to find the average speed :

V=\frac{d}{t}

Where "d" is the distance and "t" is the time.

In this case, based on the information given in the exercise, you can identify that:

d=525\ m

Since  he completed a ski race in 2 min 6 seconds, and 1 minute has 60 seconds, you ge that this time in seconds is:

t=120\ s+6\ s=126\ s

Substitute these values into the formula to find the average speed:

V=\frac{525\ m}{126\ s} \\\\V=\frac{25}{6\ }\frac{m}{s}

The formula for the time is:

t=\frac{d}{V}

Knowing that Tomos assumes that his average speed is the same for each race, for the  800 meters race you can identify that:

V=\frac{25}{6\ }\frac{m}{s}\\\\d=800\ m

So, substituting values into the formula and evaluating, you get that the time it takes him to complete this race is:

t=\frac{800\ m}{ \frac{25}{6\ }\frac{m}{s}}\\\\t=192\ s

Convert from seconds to minutes:

(192\ s)(\frac{1\ min}{60\ s} )=3.2\ min

Converting 0.2 minutes to seconds, you get:

(0.2\ min)(\frac{60\ s}{1\ min} )=12\ s

Therefore:

t=3\ min\ 12\ s

8 0
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