Mr. Alexander was traveling home from a business
trip. A taxi driver took him from his hotel room to a
bus station that was 18 miles away. The taxi traveled at an average rate of 60 miles an hour.
Mr. Alexander waited 15 minutes at the bus station
before leaving on a 178-mile bus ride.
Mr. Alexander's trip took a total of 5 hours from the time he left the hotel to the time the bus arrived at its destination. At
what average rate did the bus travel? Explain or show calculations to support the answer.

Answers

Answer 1

Using the relation between velocity, distance and time, it is found that the bus traveled at a rate of 40 miles per hour.

What is the relation between velocity, distance and time?

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

The taxi took 18 minutes(60 miles per hour = 1 mile per minute), while he waited for 15 minutes at the station. Thus, the 178-mile bus trip took 4 hours and 27 minutes, so t is given by:

[tex]t = 4 + \frac{27}{60} = 4.45[/tex]

Hence, the velocity is given by:

[tex]v = \frac{d}{t} = \frac{178}{4.45} = 40[/tex]

The bus traveled at a rate of 40 miles per hour.

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569


Related Questions

What is the value of the expression? Show your work.

Answers

69420 would be the answer of this due to the sirvalsbejejeb big ol 69420

Answer:

343

Step-by-step explanation:

Given :

[tex]\frac{7^{12}*7^{9} }{(7^{6})^{3} }[/tex]

Numerator

7¹² × 7⁹7²¹

Denominator

(7⁶)³7¹⁸

Fraction

Numerator/Denominator7²¹/7¹⁸7³343

Which of the states in the table below has the least area?
State Population in 2020 Population Density (people/mi?) Indiana 6,785,528 186.32 Mississippi 2,961,279 61.14 Iowa 3,190,369 56.69 Arizona 7,151,502 62.74

Indiana
Mississippi
Iowa
Arizona

Answers

According to the information in the table, it can be inferred that the state with the least area is Mississippi, with an area of 61.14 square miles.

How to read the table?

The table shows the population density of some states in which the number of people and the area of that state are mentioned.

Based on this information, it can be inferred that the state with the fewest number of miles is the one with the smallest area. So Mississippi is the one with the least area.

On the other hand, the one with the largest area would be Indiana which is 186.32 square miles in area.

Learn more about area in: https://brainly.com/question/11952845

The graph below shows the cost, in
dollars, per notebook at the school store.
Which equation represents the total cost, T, per n notebooks?

Answers

Answer:

t = 2.4n

Step-by-step explanation:

y = mx + c

t = mn + c

c = y-intercept (where the graph line crosses the cost line)

c = 0

mx/mn= gradient ( rise/run, up/across)

mn= 12/5 ( you could have picked any point in the graph )

mn= 2.4

the m is unnecessary now so we discard it

t = 2.4n + 0

T= 2.4n + 0

Did this for a test and that is what I put

Describe the outlier boundaries for the data set.


16, 18, 19, 16, 20, 18, 24, 22

Answers

Answer:

Any value less than 16 or greater than 24 is an outlier. :)

Step-by-step explanation:

In the data set, the smallest value is 16 and the largest value is 24 so that is why I think any value less than 16 or greater than 24 is an outlier. :)

Have an amazing day!!

Please rate and mark brainliest!!

Jon invests $4,100 into an account that pays 5 percent simple interest each year. What is the total balance in the account after 3 years?
$615.00
$3,485.00
$4,305.00
$4,715.00

Answers

what is 5% off 4,100?

once you get that number you should have it..

hi there :>

your answer is $4,715.00

have an amazing day <3

(please tell me if this is incorrect.)

Jerome's favorite Harry Potter book has 222222 chapters, 500500500 pages, and approximately 100{,}000100,000100, comma, 000 words. He's curious how many of the words are "made up" words or names that don't exist in the dictionary.

He wants to take a systematic random sample of about 500500500 words to estimate what percent of the words in the book are made up.

Which of these strategies will accomplish his intended design?

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

Randomly select one of the first 202020 words and every 20^\text{th}20

th

20, start superscript, start text, t, h, end text, end superscript word thereafter for the sample.


(Choice B)

B

Randomly select one of the first 200200200 words and every 200^\text{th}200

th

200, start superscript, start text, t, h, end text, end superscript word thereafter for the sample.


(Choice C)

C

Randomly select 232323 words from each chapter.


(Choice D)

D

Randomly select 111 word from each page.


(Choice E)

E

Assign every word a number and use a computer to randomly select 500500500 numbers with no repeats

Answers

Using sampling concepts, it is found that a systematic sampling of 500 words would be achieved as follows:

B. Randomly select one of the first 200 words and then every 200th word thereafter for the sample.

How are samples classified?

Samples may be classified as:

Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.

In this problem, he wants a systematic sampling, hence he should choose every kth word, which means that the answer is between options a and b.

He will choose 500 words out of 100,000, hence the value of k is given by:

k = 100000/500 = 200.

Which means that option B is correct.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Answer:

B

Step-by-step explanation:

khan

Albert had a goal of saving $80. He saved 115% of his goal. How much money did Albert save

Answers

Answer:

$92

Step-by-step explanation:

Solve for x show work
3(2x-5)=4x+33

Answers

[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]

[tex] \large \purple { \rm{Let's \: solve→}} \\ [/tex]

[tex] \rm{3(2x-5)=4x+33} \\ \\ \rm {solving \: bracket} \\ \\ \rm{6x - 15= 4x + 33} \\ \\ \rm{arranging \: terms} \\ \\ \rm{6x - 4x = 33 + 15} \\ \\ \rm{2x = 48} \\ \\ \rm{x = \frac{48}{2} } \\ \\ \rm{x = \cancel \frac{48}{2} } \\ \\ \rm{x = 24}[/tex]

[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Answer:

[tex]\fbox{X = 24}[/tex]

Solution:

Given expression ➟ 3(2x-5) = 4x + 33,

using distributive property open the above bracket,

➳ 3×2x - 3×5 = 4x + 33

Using BODMAS solve the L.H.S,

➳ 6x - 15 = 4x + 33

now arrange the like terms aside,

➳ 6x - 4x = 33 + 15

➳ 2x = 48

➳ x = 48/2

➳ x = 24

the given expression is true for x = 24

Thanks for joining brainly community!

Which of the following numbers CANNOT represent the probability of an event?

A. -0.5
B. 1
C. 0
D. 0.675

Answers

Answer : -0.5
Explanation: because it’s a negative number and is less than 0 is it cannot represent a probability of an event.

The number that can not represent the probability of an event is -0.5.

Option A is the correct answer.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

The probability of an event always lies between 0 and 1 (inclusive), where 0 represents an impossible event and 1 represents a certain event.

Therefore, any number outside this range cannot represent the probability of an event.

Probabilities are always non-negative values between 0 and 1 (inclusive). The value 0 represents an impossible event, meaning that the event cannot occur.

The value 1 represents a certain event, meaning that the event will definitely occur. Any value between 0 and 1 represents the likelihood that the event will occur, where a value closer to 0 represents a low probability and a value closer to 1 represents a high probability.

Negative numbers cannot represent probabilities since probabilities are always non-negative values between 0 and 1.

Thus,

The number that can not represent the probability of an event is -0.5.

Learn more about probability here:

https://brainly.com/question/14099682

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What is the distance between the points (-1, 8) and (4.8) in the coordinate plane?

Answers

To find the distance between any points:

 ⇒ we must know the distance formula

     ⇒ Distance Formula: [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 } }[/tex]

[tex](x_{1} ,y_{1} )[/tex] --> (-1,8)[tex](x_{2} ,y_{2} )[/tex] --> (4,8)

Let's Solve:

    Distance Formula = [tex]\sqrt{(4--1)^2+(8-8)^2} =\sqrt{5^2} =\sqrt{25}[/tex] = 5

Thus the distance between the points is 5

Hope that helps!

ANSWER PLEASE LINKS , SPAM , OR WRONG ANSWER WILL BE REPORTED AND DELETED 100 POINTS TO ANSWER AND YOU WILL GET BRAINLIEST PLEASE DONT WASTE YOUR TIME AND SEND LINKS , SPAM. OR WRONG ANSWER !!!!! HAVE A BLESSED NIGHT/DAY

Answers

Answer:

42.63mm²

Step-by-step explanation:

Base times height:

8.7 times 4.9 is 42.63mm².

Length=l=8.7mmWidth=4.9mm=w

So

Area:-

[tex]\\ \rm\rightarrowtail lw[/tex]

[tex]\\ \rm\rightarrowtail (8.7)(4.9)[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{87}{10}\times \dfrac{49}{10}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{4963}{100}[/tex]

[tex]\\ \rm\rightarrowtail 49.63mm^2[/tex]

Is the following shape a square?, How do you know?

Answers

Answer:

C. No, because the sides aren't congruent

Step-by-step explanation:

Which expression is equivalent to 2x- 3(y- 2x

Answers

Answer:

The answer is 8x-3y hope this helps!

In the figure below, triangle B C A tilde triangle S T R. Find cos T comma sin T comma and tan T. Round your answers to the nearest hundredth.

Answers

Y=tx26 The comma and tan sin Is cos x

Enter the correct answer in the box.
If x≠0, what is the sum of 4^3vx^10 + 5x^33v8x in simplest form?

Answers

Step-by-step explanation:

Check out the attached photo. Leave a comment if something's confusing.

There are 15 students on the debate team. Four will attend the debate. How many groups of four can be selected from the 15 students?​

Answers

Answer: 1365

Step-by-step explanation:

A certain brand of laundry detergent is manufactured for $4.40 and then marked up 25% by the local store before selling. The store offers a 30% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of three bottles of detergent. (10 points)

Answers

Using proportions, it is found that the total cost of three bottles of detergent is of $11.55.

What is a proportion?

A proportion is a fraction of a total amount.

A certain brand of laundry detergent is manufactured for $4.40 and then marked up 25% by the local store before selling, hence the price of each bottle is given by:

P = 4.40 x 1.25 = $5.50.

The store offers a 30% discount with the purchase of three or more bottles of the detergent, hence the total cost is given by:

T = (3 x 5.50) x 0.7 = $11.55.

More can be learned about proportions at https://brainly.com/question/24372153

-. Find the missing part that will make the equation a perfect square
U2 + 34u +

Answers

Answer:

289

Step-by-step explanation:

using the method of completing the square

add ( half the coefficient of the u- term )² to u² + 34u

u² + 2(17)u + 17²

= u² + 34u + 289

= (u + 17)² ← a perfect square

7. Wally invests $5,000 in a CD that earns 4% per year. Eqn:​

Answers

Answer:

5000(1.04)^x, x is # of years

4. The method of completing the square was used to solve the equation 2x^2 - 12x + 6 = 0. Which equation is a
correct step when using this method?
A. (x - 3)^2 = 6
B. (x - 3)^2 = -6
C. (x - 3)^2 = 3
D. (x - 3)^2 = -3



Pls help

Answers

Answer: B

Step-by-step explanation: I hope it helps if not your welcome to get a tutor

The requried correct step when using the method of completing the square to solve the equation 2x² - 12x + 6 = 0 is A. (x - 3)² = 6.

What is simplification?

Simplifying an expression involves eliminating unnecessary variables, components, or processes using algebraic and mathematical principles. The goal is to obtain an expression that is easier to use, manipulate, or solve.

Here,
To solve the quadratic equation 2x² - 12x + 6 = 0 using the method of completing the square, we can follow these steps:

Divide both sides by the coefficient of x^2 to make the coefficient of x² equal to 1:

x² - 6x + 3 = 0

Add and subtract the square of half the coefficient of x:

x² - 6x + 9 - 9 + 3 = 0

Factor the first three terms:

(x - 3)² - 6 = 0

Add 6 to both sides:

(x - 3)² = 6

Therefore, the correct step when using the method of completing the square to solve the equation 2x² - 12x + 6 = 0 is A. (x - 3)² = 6.

Learn more about simplification here:

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Does anyone know the answer to this?

Answers

Answer:

Excuse me, Where is the question??

The population of Sheffield is 690,000 to the nearest thousand and the population of Nottingham is 730,000 to the nearest 1000.
Calculate the upper and lower bounds for the difference in population between Sheffield and Nottingham.

Please answer with clear instructions so that i can apply this to other questions

Answers

Answers:

lower bound = 39001

upper bound = 40999

========================================================

Explanation:

You'll have to think backwards to find what values round to 690,000 when rounding to the nearest thousand.

It turns out that if x is on the interval [tex]689,500 \le x \le 690,499[/tex], then x will round to 690,000 when rounding to the nearest thousand. The x refers to the population of Sheffield, so it's some integer in that range.

Through similar logic, if y is on the interval [tex]729,500\le y \le 730,499[/tex] then it will round to 730,000 when rounding to the nearest thousand. This represents the population of Nottingham.

-------------------

Now let's say we go for the smallest possible value of x (689500) and the largest possible value of y (730499). This guarantees the two populations are the most spread out or distant from one another. Subtract those two values:

730,499 - 689,500 = 40,999

This is the largest difference possible of the two populations. It represents the upper bound, i.e. it's the ceiling.

---------------------

On the other hand, let's now say x is as big as possible (690499) and y will be as small as possible (729500). Subtract those values:

729,500 - 690,499 = 39,001

This is the lower bound. It's the smallest the difference can be. It's considered the floor.

----------------------

Let d be the difference in the populations. In other words, d = y-x

We found that the lower bound was 39,001 and the upper bound was 40,999

Meaning that

[tex]39,001 \le y-x \le 40,999[/tex]

or

[tex]39,001 \le d \le 40,999[/tex]

pls help on math pla​

Answers

Answer:

Slope: -1/2
y-intercept: 7

Step-by-step explanation:

The slope is the interger/number in front of x in a linear equation.

y-intercept is the constant after the slope, 7, which is the value of y when x is 0.

Answer:

equation: y=mx+b

b=y intercept

the y intercept is 7

the slope is -1/2

math help please it is overdue​

Answers

Answer:

X = 20

Y = 10√3 or 17.32 or 17.3

Steps given below in the image,

I hope my answer helps you.

Answer:

x = 20

y = 17.32

Step-by-step explanation:

[tex]10 = x \cos 60 \degree \\ \\ \implies \: 10 = x \times \frac{1}{2} \\ \\ \implies \: 10 \times 2= x \\ \\ \implies \: \huge{ \boxed{x = 20}} \\ \\ y = 10 \tan \: 60 \degree \\ \\ \implies \: y = 10 \times \sqrt{3} \\ \\\implies \: y = 10 \times 1.732 \\ \\\implies \: \huge{ \boxed{ y = 17.32}}[/tex]

I need help ty-math-

Answers

Answer:

1,2,2,2,2,2,2,3,3,4,5,5,6

Step-by-step explanation:

Oh, math! One of my absolute favorite subjects. I'd be happy to help.

From least to greatest, here's the list-

1, 2, 2, 2, 2, 2, 2, 3, 3, 4, 5, 5, 6, 10

I hope this answers your question.

-Toremi

Both circles have the same center. What is the area of the shaded region.
D=48 km
11km
Use 3.14 for pie

Answers

Answer: the answer  50.22

Step-by-step explanation:

Pat was in fishing competition at lake Pisces

Answers

Answer:

Hello! Your Question seems to be Incomplete but if you didn't mean to make it that way. I will be Happy to answer it If you repost It. Thanks !

Step-by-step explanation:

Have a good day!

5 What is the perimeter? use 3,14
(4pts.)
for pi.
bun
Ilin
What is the total area? use 3.14 for pi.

Show ur work 30 points

Answers

Answer:

I don't understand the instructions, but I'll answer the question in the picture.

The angle next to 52 is vertical to y, so,  90-52=y.

Thus, y=38

Describing the Graph of a Polynomial Function 2.) Use the function: f(x) = (x + 2)(x - 1)(x - 2) a) Find the zeros of the function. b) Find the y-intercept of the function. c) Describe the end behavior of the graph.

Answers

Answer:

The end behavoir is no solution

Step-by-step explanation:

The reason for this is because if you solve the graph the graph will show no end point

This image shows the explanation ⬇️

Which expression is a prime polynomial?
O A 8.37 - 9 + 12-2
OB. 19 - y
OC. I +9y2
OD 3m + 9n

Answers

I believe the answer would be

A,C and maybe D hope this helps
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