S (3, -5), T (0, -2), U (-3, -5) scale factor = 4 S' = T' = U'=

The distance Train A travels is represented by d = 67t, where d is the distance in kilometers and t is the time in hours. The di

Thepotemich [5.8K]

Answer:

Train A's unit rate is 67 km per hour.

Train B's unit rate is 75 km per hour.

Train B is faster than Train A

Step-by-step explanation:

Train A

Distance traveled by Train A is represented by :

$d=67t$

where $d$ represents distance traveled in kilometers and $t$ is the time in hours.

To find the unit rate of Train A, we will plugin $t=1$ and get the distance traveled by Train A in 1 hour which will be the unit rate of Train A in km/hr.

$d=67(1)$

$d=67$

So, distance traveled by Train A in 1 hour = 67 km

∴ Train A's unit rate is 67 km per hour.

Train B

For Train B, we are given the table for the time in hours and distance traveled in that duration.

Taking time =2 hours the distance traveled by Train B= 75 km

To find distance traveled in 1 hour we apply unitary method.

$2\ hr = 150\ km$

So $1\ hr = \frac{150}{2}\ km = 75\ km$

So, distance traveled by Train B in 1 hour = 75 km

∴ Train B's unit rate is 75 km per hour.

Difference in units rates = $75-67=8\ km/hr$

On comparing their unit rate i.e. the speed of the trains we find out that Train B is faster than Train A by 8 km/hr

3 0

3 years ago

Make r the subject of the formula t= r

Evgen [1.6K]

I hope this helps you

t=r/r-3

t. (r-3)=r

t.r-3t=r

t.r-r=3t

r (t-1)=3t

r=3t/t-1

3 0

3 years ago

A study was done by a social media company to determine the rate at which users used its website. A graph of the data that was c

Sergeeva-Olga [200]

Answer:

The range represents the number of users each month for 24 months

Step-by-step explanation:

The range depends on the y axis. Looking at the y axis we see the number of users for each month. Looking at the x axis we see that it's 24 months not 20 months

8 0

3 years ago

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ted pays $2 for every mile, m, that he travels in a cab. He also has pay $2.50 as a one time charge, just to get in and start. W

VashaNatasha [74]

Answer:

n=2m+2.50

Step-by-step explanation:

I used n cause it didint list the other variable

6 0

3 years ago

Read 2 more answers

5 Helga signs up to coach hockey. She

lianna [129]

Answer: 12 practice sessions

Step-by-step explanation:

You can represent the word problem in this equation: 200+50x<775 OR 200+50x=775

If you subtract 200 from 775, you’ll be left with: 50x=575

Count by fifties until you get to 575. You’ll notice that 50 doesn’t go into 575 evenly! However, this won’t matter, because Helga wants to make AT LEAST 775. So you can round up to 12 practices instead of 11, which will equal 800 dollars instead of 750.

4 0

3 years ago

Read 2 more answers