Sam walked x miles at 4mph.
Then he walked 2x miles at 3mph.
A) find average speed for the whole journey.
The second part of journey took 25mins longer than the first part.
B) Find the value of x.

Answers

Answer 1

Answer:

Sam average speed for the whole journey =  [tex]3\frac{3}{11} mph[/tex]

Step-by-step explanation:

Formula: Speed = [tex]\frac{Distance}{Time}[/tex]

i.e. Time = [tex]\frac{Distance}{Speed}[/tex]

If Sam walked x miles at 4 mph, then time taken by him = [tex]\frac{x}{4}[/tex] hours

If he then walked 2x miles at 3 mph, then time for this period =  [tex]\frac{2x}{3}[/tex]hours

Average speed = [tex]\frac{Total Distance}{Total Time}[/tex]

=[tex]\frac{x+2x}{\frac{x}{4} \frac{2x}{3} }[/tex]

=[tex]\frac{3x}{\frac{x1}{4} \frac{2}{3} }[/tex]

=[tex]\frac{3}{\frac{3+8}{12} }[/tex]

=[tex]\frac{3 x 12}{11}[/tex]

=[tex]\frac{36}{11}[/tex]

=[tex]3\frac{3}{11} mph[/tex]

Hence, Same's average speed for the whole journey =  [tex]3\frac{3}{11} mph[/tex]


Related Questions

Show that the point (3, 7) lies on the line y = 2x + 1

Answers

Just plug in the point
x = 3 and y = 7
Y = 2(3) + 1
Y = 6 + 1
Y = 7
That’s how to prove it


Can someone please help me solve for x

Answers

Answer:

x = 8

Step-by-step explanation:

These two angles both containing an x are equal. They are called vertically opposite angles.

2x + 62 = 5x + 38               Subtract 2x from both sides

2x-2x + 62 = 5x -2x + 38   Combine

62 = 3x + 38                       Subtract 38 from both sides

62 - 38 = 3x - 38  + 38       Combine

24 = 3x                                Divide both sides by 3

24/3 = 3x/3                         Combine

8 = x

how do I solve this problem
2|x+7|-5=15

Answers

Answer:  x=3 or x=-17

Step-by-step explanation: go to mathpapa.com and type the question. then click step by step it is really helpful.

click on file! thank youuu!! <3​

Answers

Answer:

[tex]2(x+11y)[/tex]

Step-by-step explanation:

Rearrange:

[tex]10x-7x-x+13y+9y[/tex]

Subtract and Add:

[tex]2x+22y[/tex]

Simplify:

[tex]2(x+11y)[/tex]

Answer:

x + 11y

Step-by-step explanation:

Working in parts starting with x...

10x-7x = 3x

3x - x = 2x

Moving on to y...

13y + 9y = 22y

Put it together

2x + 22y

Simplify by dividing both by a common number ( in this case 2)

x + 11y

DeShawn pays 8$ for 12 pounds of sugar. What is the price per pound of sugar

Answers

Answer:

DeShawn pays .67 cent per pound of sugar

swine flu is attacking the north pole. the function below determines how many elves have swine flu where t=time in days and S= the number of people in thousands.

S(t)=9t - 4. find S(4)

Answers

Answer:

S(4) = 32

Step-by-step explanation:

Work on photo !

(5x-7y)-(2x+y) expression thats equivalent plzzzzzz help fast

Answers

Answer:

(3x-8y) is equivalent

Step-by-step explanation:

Answer:

[tex](5x - 7y) - (2x + y) \\ 5x - 7y - 2x - y \\ collecting \: like \: terms \: \\ 5x - 2x - 7y - y \\ 3x - 8y[/tex]

Help plz!!!!!!!!!


*tysm*

Answers

-7.5x = -5.61 - 0.39

x = -6 /-7.5

x = 0.8

How many lines can be drawn through C that would be parallel to AB?

answer choices:

None

1

2

3 or more

Answers

Answer:

just 1 line cuz ab is already drawn and we have to draw one linewhich is parallel to ab.

Answer:

2 lines

Step-by-step explanation:

Wich of the following letters are real and not real numbers?

A: -6
B: √-1
C: 3/5
D: 0.25
E: √9
F: 64
G: √5​

Answers

Answer:

F.64

D. 0.25

i guess that is it

i know its easy but i forgot how to do this pls heeeelp me

Answers

Answer:

First number line: 3rd line from 0

Second number line: 7th line from 0

(Sorry if I explained it kinda weird, hope this helps!)

Step-by-step explanation:

On the first number line, you would put the dot on the 3rd line from zero. From 0 to one, it's split into 5 equal parts. 0 is 0/5 and 1 is 5/5. So all you do is  plot the dot on 3/5, or the 3rd line from 0.

Same thing with the second number line. Except for this time, it's split into 8 equal parts. Just count to the 7th line in between 0 and 1 and plot the dot.

write the log equation as an exponential equation. you do not need to solve for x.

Answers

After conversion into exponential equation :

[tex] {8}^{3x - 4} = 5x + 4[/tex]

i need help, how do you do this

Answers

Answer: So you are going to make an equation first.

Step-by-step explanation:

first we know that for the first 2 hours the snow fell at an inch an hour. so we are going to make our first plots ( I suggest using an online site like geogebra or desmos to start out with before plotting for your assingment)

our first plot is going to be at (1,1) or 1 over and 1 up. remember points are in the form of (x,y). then (2,2)

Now we see that it has changed  now there is no  new snow for 6 hours so you are going to have a flat line so its going to be (2,2) then its going to continue that way as (3,2),(4,2), (5,2) (6,2)(7,2)(8,2).

It starts snowing again and now we have a new thing to plot the snow is falling at a constant of 3 inches an hour for the next 5 hours so now we are going to plot hte points to get our points we are going add 3 inches to our current inches each new hour. so its going to be (9,(2+3)) which is (9,5) and continue on doing that so we will have the plots (10,8) (11,11) (12,14) (13,17). and now we connect our plots by creating segments so then you do that on your thing and youre set to go I hope this helps.

Connie has 5/8 and wants to divide it by 1/4 what is her answer

Answers

Answer:

2.5 . get the Desmos calculator .

Teh answer is 2.5 I explained it up

175% of what number is 217?

Answers

124
That’s the answer

A market research firm is studying the effects of price and type of packaging on sales of a particular product. Twenty-seven stores with shoppers of similar characteristics will be used in the study. The nine combinations of three price levels and three packaging types are the treatments of interest. Total sales of the product over a seven-week period will be recorded. Which of the following describes the best design to use for the study?

a. А A completely randomized design Randomly assign the nine combinations of price level and packaging type that three stores use each combination
b. A completely randomized design. Randomly assign the three price levels so that nine stores use each price level
c. A completely randomized design. Randomly assign the three packaging types so that nine stores use each type of packaging
d. A randomized block design Use packaging as a block. Randomly assign the nine combinations of three price levels and three packaging types so that three stores use each combination
e. A randomized block design. Use packaging as a block Randomly assign nine stores to each packaging type, then randomly assign price level to three stores within each block.

Answers

The market research can increase the precision of the result of the study by  

using a randomized block design RBD

The best design the market research company should use for the study is

d. A randomized block design Use packaging as a block. Randomly assign

the nine combinations of three price levels and three packaging types so

that three stores use each combination

Reason:

The given parameters are;

The study = The effect of price and type of packaging

Number of stores in the study = 27 stores

Characteristics of the shoppers in the stores = Similar

Number of packaging type = 3 (three)

Number of price levels = 3 (three)

The number of pair combinations = ⁶₂C - (3, pairs of the same packaging +

3, pairs of the same prices) = 9

Required:

The best design to use for the study

Solution:

Given that the shoppers at each store are similar, in order to differentiate

and show the effect of the price and package combination, it is possible to

group the treatment into groups having a particular characteristics, while

ensuring that the other available treatments are assigned to each member

within a group at least once.

The above design of the study is known as a randomized block design,

therefore;

The correct option is d. A randomized block design Use packaging as a

block. Randomly assign the nine combinations of three price levels and

three packaging types so that three stores use each combinations.

Learn more here:

https://brainly.com/question/15712468

What is a rule that describes the translation that maps triangle ABC onto triangle A'B'C'?
A.T< 5, 3 >(ABC)
B. T< −5, 3 >(ABC)
C. T< 5, −3 >(ABC)
D. T< −5, −3 >(ABC)

Answers

Answer:

the answer is D.

Step-by-step explanation:

I took the test and got it right!

I suppose only 24% of 300

students choose conserve natural resources how many students choose conserving natural resources explain how you got your answer and how to find the model help you justify the answer

Answers

Answer:

it's all about materialistic gain.

A bee colony produced 5.9 pounds of honey, but bears ate 1.5 pounds of it. How much honey remains?

Answers

Answer:

4.4

Step-by-step explanation:

hope this helps

Answer:

5.9 - 1.5

3.5 pounds of honey

Please help, me I just need to know how to set it up the 2 equation on both.

Answers

snemsjsjsjjsuduwjrbebsjenwnwnwnnnnnnjjjnnjnbbjjokbbkjvgjjbnnnnkkkkkkkkkkkk

BC has a midpoint at M(6, 6). Point C is at (2, 10). Find the coordinates of point B.

Answers

Answer:

The coordinates of B are (10,2)

Step-by-step explanation:

Hi there!

We know that BC has a midpoint M, with the coordinates (6,6), and the endpoint C, with coordinates (2, 10)

We want to find the coordinates of point B

The midpoint formula is [tex](\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2 , y_2)[/tex] are points. In this case, the point C has the values of [tex](x_1, y_1)[/tex], and B has the values of [tex](x_2 , y_2)[/tex]

We know that coordinates of M equal [tex](\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})[/tex]

In other words,

[tex]\frac{x_1 + x_2}{2} = 6\\ \frac{y_1+ y_2}{2}=6[/tex]

Let's plug 2 for [tex]x_1[/tex] and 10 for [tex]y_1[/tex]

So:

[tex]\frac{2 + x_2}{2} = 6\\ \frac{10+ y_2}{2}=6[/tex]

Multiply both sides by 2

[tex]{2 + x_2} = 12\\{10+ y_2} =12[/tex]

Subtract 2 from both sides in the first equation to find the value of [tex]x_2[/tex]:

[tex]x_2=10[/tex]

Now, for the second equation, subtract 10 from both sides to find the value of [tex]y_2[/tex]

[tex]y_2=2[/tex]

Now substitute these values for [tex](x_2, y_2)[/tex]

[tex](x_2, y_2)=(10,2)[/tex]

So the coordinates of point B are (10, 2)

Hope this helps!

How many songs can you play from 6:00 to 10:00

Answers

120 at most because songs are mostly 2 minutes

Answer:

Using common knowledge each song is about 2 minutes and 50 seconds, so you can listen to about 100 songs, maybe more

Step-by-step explanation:

6-10=4hrs

4 hours divided by 2:50=

4 hours= 280 Minutes, 2:50 can be rounded to 3min, 280/3=93.3333333333

In other words, you can estimate to 94.

So the answer should be around 94

If possible brainliest?

please help thank you

Answers

Answer:

[tex]x - 2 = 0 \\ x = 2 \\ p(2) = 0 \\ {2}^{4} - d {2}^{3} + 8 \times {2}^{2} - 14 \times 2 + 16 = 0 \\ 16 - 8d + 32 - 28 + 16 =0 \\ 8d = 36 \\ d = 36 \div 8 = 4.5[/tex]

enjoy it

1
What is the solution to the equation
1/x = x+3/2x^2
?
O X=-3
O x= -3 and x = 0
O x = 0 and x = 3
O x=3

Answers

Solution:

[tex] \frac{1}{x} = \frac{x + 3}{ {2x}^{2} } \\ = > \frac{2 {x}^{2} }{x} = x + 3 \\ = > 2x = x + 3 \\ = > 2x - x = 3 \\ = > x = 3[/tex]

Answer:

The answer is option d. X = 3

Cho tam giác ABC vuông tại A , đường cao AH . Gọi D và E lần lượt đối
xứng với H qua các cạnh AB và AC
a) C/m D, A , E thẳng hàng
b) C/m BCED là hình thang
c) C/m 0 90 DHE 

Answers

Answer:

Sorry i don't speak Vietnam so i can't help you if you write it in English i will have a chance to help you

An art teacher recorded whether the students in three of her classes prefer water color or oil painting. The art teacher plans to create a two-way table to analyze her results. Which variables can the art teacher use as the row and column headings of the table? painting preference and total number of students painting preference and number of students in class 1 class number and painting preference class number and number who prefer oil.

Answers

Answer:

C.) class number and painting preference








Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

the answer is C I believe  

Step-by-step explanation:

Which of the following is the solution to the equation 5/6 x= -1/6?

-1/5
1/5
-5
5

Answers

-1/5, multiply 6/5 on both sides to cancel the 5/6, 6/5 times -1/6 = -6/30 = -1/5

which graph shows a non proportional relationship between x and y

Answers

The one where the line doesn’t pass through the middle point/origin

Is it possible for a number to be a rational number that is not an integer but is a whole number?

Answers

Answer:

The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. Every rational number can be written as a fraction a/b, where a and b are integers. If a number is a whole number, for instance, it must also be an integer and a rational.

Step-by-step explanation:

Volume of this prism

Answers

8*9=72/2= 36*11

Answer is 396 units3
Other Questions
What does the arrow in chemical equations mean? (PLEASE HELP)A- CancelsB- SubtractsC- PreventsD- Yields Describe the significance of enzymes in our digestive system having different optimal pH and optimal temperatures. (Hint: What does this allow our bodies to do?) A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the figure below.Three of the sides will require fencing and the fourth wall already exists.If the farmer has 152 feet of fencing, what are the dimensions of the region with the largest area? An artery in a certain patient has been reduced to half its original inner diameter by bad cholesterol deposits on the inner artery wall. By what factor will the blood flow through the artery be reduced if the pressure differential across the artery has remained unchanged? (a) 0.065 (b) 0.625 (c) 0.622 (d) 0.0625 Someone help I cant get my brain to function correctly whats the next number2, 4, 12, 44, 172, ____ What is the 7th term of the sequence 64, -16, 4, -1? A doctor verbally attacking a patient is a violation of informed consent. How can you estimaite [tex]\sqrt 40.[/tex] Given the matrices A and B shown below, solve for X in the equation -3X + A= 3B. the carrying capacity is the number of animals the habitat can support for how long? tasks that an employee is legally allowed to perform based on his or her training and certification the principal reason for the extremely low solubility of nacl in benzene (c6h6) is the ________. Alberto is making a budget. He owes a cell phone bill of $60 per month for 23 more months, plus the fees for any extra usage such as text messaging or extra minutes. Which of the following is the correct category for this expense? a. Essential (flexible) expense b. Emergency fund c. Essential (fixed) expense d. Non-essential expense Please select the best answer from the choices provided A B C D After being imprisoned by her own half sister, Elizabeth becomes queen at the age of ___________ and returns England back to ____________________________ (a form of Christianity). Though Catholicism was not completely eradicated, its influence was significantly reduced. Find the slope- intercept form -5x+6y=30Please show steps Is it still child labor when children work to help their family live through extreme poverty? please help me...... Email is an important part of digital marketing. There are two types: Planned and Triggered. Planned emails are set on a prescribed schedule, usually including a call to action. Triggered emails happen when the reader takes some action, such as visiting a website, completeing a sale, not completing a sale, signing up for something, downloading a free item, etc. These are often also built into customer relationship management systems, sent when an inquiry is made. Find an email that you opened that was sent to you from an organization, perhaps where you've bought something or made contact. Did you open the email when it was first sent? Why or why not? Looking at it now, is it effective? If you were in charge of emails, how would you improve it? (Anything like "no improvement needed" is not an acceptable answer). Please answer and thank you. if 7x+5=2x+9 then what is x?