Which function represents the equation of the line?

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

4 years ago

12w - 27 = - 34+14w Select the equation that has the same solution as the given equation above.

Lisa [10]

Anything with a value of w=3.5 would be equivalent.

To solve this, we cannot have a variable on both sides, so we will subtract 12w from both sides:
12w - 27 - 12w = -34 + 14w - 12w
-27 = -34 + 2w

Now add 34 to both sides:
-27+34 = -34 + 2w + 34
7 = 2w

Divide both sides by 2:
7/2 = 2w/2
3.5 = w

8 0

3 years ago

Read 2 more answers

you roll a pair of six-sided dice (each can be a 1,2,3,4,5, or 6). What is the probability that the sum of your dice is greater

sasho [114]

Answer:

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected number of outcome/Total outcome

Since a pair of die with six faces is rolled, the total number of outcome will be 6^2 = 36

Expected outcome is the sum of dice greater than 10. The only time we can get a sum of the dice grater than 10 is when the following are rolled; (5,6), (6, 5) and (6, 6). The sum of the numbers will give us 11 ans 12 respectively which are values greater than 10.

The expected outcomes = 3 outcomes

The probability that the sum of my dice is greater than 10 = 3/36

<em>Hence the probability that the sum of my dice is greater than 10 is 1/12</em>

6 0

3 years ago

Directions: Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).. Th

Anuta_ua [19.1K]

Answer

Find out the The numerical value of A - B and the numerical value of B - A .

To prove

As given

The expression 113.47 - (43.72 - 26.9) represents A.

The expression 113.47 - (26.9 - 43.72) represents B .

Thus

A - B = 113.47 - (43.72 - 26.9) - ( 113.47 - (26.9 - 43.72))

First solving the bracket terms.

A - B = 113.47 - (43.72 - 26.9) - 113.47 + (26.9 - 43.72)

= 113.47 - 16.82 - 113.47 - 16.82

= 113.47 - 113.47 - 16.82 - 16.82

= -33.64

Therefore the value of A- B is -33.64 .

Thus

B - A = 113.47 - (26.9 - 43.72) - (113.47 - (43.72 - 26.9))

First solving the bracket terms.

B - A = 113.47 - (26.9 - 43.72) - 113.47 + (43.72 - 26.9)

= 113.47 + 16.82 - 113.47 + 16.82

= 33.64

Therefore the value of the A - B is -33.64 and B - A is 33.64 .

6 0

3 years ago

Read 2 more answers

Which is true for all pairs of value in this table

slava [35]

If you had a pic I could answer

3 0

3 years ago