Candidate a and candidate b are running for mayor

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

Please help me with this

Darina [25.2K]

The picture is blank for me. Please take clearer pictures leveled with the question! :)

3 0

3 years ago

Simplify (2*4)−1.

EastWind [94]

The simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.

<h3>What is an integer exponent?</h3>

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The number expression is:

= (2⁴)⁻¹

Using the properties of the integer exponent:

= 1/2⁴

The above number is one over two raised to the fourth power

Thus, the simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.

Learn more about the integer exponent here:

brainly.com/question/4533599

#SPJ1

6 0

2 years ago

3x + 9b + 5ax + 15ab

Irina-Kira [14]

Answer:

(x + 3b)(3 + 5a)

Step-by-step explanation:

Assuming you require the expression factorised.

Given

3x + 9b + 5ax + 15ab ( factor the first/second and third/fourth terms )

= 3(x + 3b) + 5a(x + 3b) ← factor out (x + 3b) from each term

= (x + 3b)(3 + 5a) ← in factored form

7 0

3 years ago

c. Write an expression to represent the length of a string in yards in terms of the string's length, x, in inches

jeka57 [31]

Answer:

Answer:

y = \frac{x}{36}y=

36

x

Step-by-step explanation:

Given

Length of string = x inches

Required

Determine the length in yards

Represent the equivalent length with y

Such that

y = x\ inchesy=x inches

Divide x by 36 to get equivalent in yards

y = \frac{1}{36} * xy=

36

1

∗x

y = \frac{x}{36}y=

36

x

Hence, the equivalent in yards is \frac{x}{36}

36

x

8 0

3 years ago