Question

rick is riding in a race the equation d=40-1/5 m where d= distance in miles and m= minutes can be used to estimate the number of miles rick has left before reaching the finish line how many minutes has rick been riding when he was 31 miles from the finish line

Answer 1

Substitute then value distance into your formula and solve for the missing variable

Answer 2

\[d = 40-\frac{ 1 }{ 5m }\] ?

Answer 3

thank you im in summer and dont know how to do most of these problems ha

Answer 4

It is alright, you can learn them in no time.
D = distance
M = minutes

So if you want to find the Minutes at Distance 31 miles then you just substitute 31 for "d" and solve for "m".

Answer 5

do i - 40 to 30?

Answer 6

31

Answer 7

Not sure what you mean?

Answer 8

Since we want to find the time (m) when d = 31 then we will have to place 31 as "d" into our equation.

Answer 9

So we now have
\[31 = 40 - \frac{ 1 }{ 5m }\]

Solve for m

Answer 10

how do we solve for m ?

Answer 11

Get m by itself by using algebra. Anything you do to the right side you must do to the left.

Answer 12

How will you get rid of 40 from the right? And then how will you get rid of -1/5?

Answer 13

i - the 40 to the 31 and then i dont know how to get rid of the -1/5

Answer 14

Alright good first start so if we do as you said,
\[31 = 40 - \frac{ 1 }{ 5m }\]

Subtracting 40 from both sides.\[31-40 = 40 - 40 - \frac{ 1 }{ 5m }\]\[-9 = -\frac{ 1 }{ 5m }\]

Answer 15

i dont know what to do after that tho

Answer 16

Now we must get rid of the -1/5 which we can do by multiplying 5 to both sides.
\[-5 \times -9 = -5 \times -\frac{ 1 }{ 5m }\]\[-5 \times -9 = \frac{ -5 }{ -5 m }\]
Since negatives and negative equals positives and 5 over 5 is 1 we have...
\[45 = \frac{ 1 }{ m }\]

You must now take the reciprocals of both sides which means flip both sides.

Answer 17

so it would be 1/m=45

Answer 18

No, you must take the reciprocals of both which means flipping both the terms.

Answer 19

i dont understand that part

Answer 20

\[45 = \frac{ 1 }{ m }\]
Which is really
\[\frac{ 45 }{ 1 } = \frac{ 1 }{ m }\]

Taking the reciprocals of both is flipping both fractions.

Answer 21

then i cross cancel

Answer 22

No, flip the fractions first and you will see your result

Answer 23

so it would be 1/45=m/1

Answer 24

whats the answer

Answer 25

Yes that is correct

Answer 26

ive been on this answer for like 40 min now ha

Answer 27

\[\frac{ 1 }{ 45 } = \frac{ m }{ 1 }\] Which is the same thing as
\[\frac{ 1 }{ 45 } = m\]

Answer 28

Assuming the original equation and the variable for d are correct

Answer 29

i just need the answer bro i am like done with this problem please