Eric walks 7 km East in 2 hours and then 2.5 km West in 1 hour.

___ km/hr is the average speed and ___ km/hr is the average velocity for the whole journey that Eric takes.

Answers

Answer 1

Answer:

Average speed = 3.17 km/h and Average velocity = 1.5 km/h

Step-by-step explanation:

It is given that,

Eric walks 7 km East in 2 hours and then 2.5 km West in 1 hour.

Average speed = distance/time

Distance = 7km + 2.5 km = 9.5 km

Time = 2 h + 1 h = 3 h

Average speed,

[tex]s=\dfrac{9.5\ km}{3\ h}\\\\s=3.17\ km/h[/tex]

Average velocity = displacement/time

Displacement = 7 km +(-2.5 km) = 4.5 km

Average velocity,

[tex]v=\dfrac{4.5\ km}{3\ h}\\\\v=1.5\ km/h[/tex]

So, 3.17 km/h is the average speed and 1.5 km/h is the average velocity for the whole journey that Eric takes.


Related Questions

Find x. Give reasons to justify your solution.

Answers

Answer:

x = 28

Step-by-step explanation:

Okay COB is vertical to AOB, so we know they equal the same. Right the equation this way.

3x + x + x + 12 = 152 (collect like terms)

5x + 12 = 152 (subtract 12 on each side)

5x = 140 (divide by 5 on each side)

x = 28

(PLUG IN)

3(28) + (28) + (28) + 12 = 152

84 + 28 + 28 + 12 = 152

152 = 152

There are six roses in the vase. Alyssa cut some more roses from her flower garden. There are now 16 roses in a vase. How many roses did she cut?

Answers

Answer:

10

Step-by-step explanation:

because 6+10=16. I feel so bad for all of the flowers.

Does 3 times 48 equal 4 times 36

Answers

Answer:

Yes

Step-by-step explanation:

3 x 48 = 144

4 x 36 = 144

They are equal.

Answer:

3 * 48 is 144 4 x 36 is also 144 so yes they are equal

Question 4 of 32 Jacob is a construction worker who earns a yearly income given by the expression 2000x + 3000, where x is the number of hours he works each week. Carlos works with Jacob and earns a yearly income given by the expression 3800x – 40000. A manager predicts that if Carlos and Jacob each work 35 hours, they will earn the same amount of money.

PART A:The number of hours that makes the equation true is
Options: 24, 27, 29,31,34

PART B:Round your answer to the nearest whole number. The manager's prediction is
Options: equal to, less than, greater than

the actual number of hours that Carlos and Jacob need to work to earn the same amount of money.​

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the expression :

Jacob's yearly income :

2000x + 3000 ; x = number of hours worked per week.

Carlos income :

3800x - 40000

Managers prediction = 35

Jacob.: 2000(35) + 3000 = 73000

Carlos : 3800(35) - 40000 = 93000

Carlos will earn more than Jacob given the manager's prediction.

Number of hours required so they can earn the same amount :

2000x + 3000 = 3800x - 40000

3000 + 40000 = 3800x - 2000x

43000 = 1800x

x = 43000/1800

x = 23.88

x = 24 hours

3x + 5.9 = 14.6
What's the answer?

Answers

Answer: X=2.9

Step-by-step explanation:

PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!11

Simplify (−3.5)(−3)(−6.4).

1. −672
2. −67.2
3. 67.2
4. 672

Answers

Answer:

2 -67.2

Step-by-step explanation:

-3.5 Times -3 = 10.5

10.5 Times -6.4 = -67.2

Answer:

2. -67.2

Step-by-step explanation:

(−3.5)×(−3)×(−6.4)=−67.2

I have done it before and I did the work.

I need help, this teacher isn't explaining things like she is supposed to​

Answers

Answer:

3 and 4

Step-by-step explanation:

13 is between the perfect squares of 9 and 16, which are 3^2 and 4^2 respectively.

2 triangles have identical side lengths and angle measures. The second triangle is rotated about 45 degrees.
What type of transformation maps ΔQRS to ΔQ'R'S'?

dilation
reflection
rotation
translation

Answers

Answer: C. Rotation

Step-by-step explanation:

on ed

Answer:

the answer is C rotation

Step-by-step explanation:

on ed 2020

The measure of an angle is 8 more than the measure of the other angle. If the two angles are complementary angles, find the measure of each angle

Answers

Answer:

yd wyyhvbfhu vuhcvb u sbhn j sbjhdghdgfh jbvdfhj gbhvdfhv hvg h jhs vh gh

Step-by-step explanation:

(-9) - (-37) =

A -29

B -40

C 28

Answers

Answer:c: 28

Step-by-step explanation:

C is 28 for the answer

Grace and Hannah are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Grace is 250 miles away from the stadium and Hannah is 306 miles away from the stadium. Grace is driving along the highway at a speed of 40 miles per hour and Hannah is driving at speed of 54 miles per hour. Let GG represent Grace's distance, in miles, away from the stadium tt hours after noon. Let HH represent Hannah's distance, in miles, away from the stadium tt hours after noon. Write an equation for each situation, in terms of t,t, and determine the number hours after noon, t,t, when Grace and Hannah are the same distance from the stadium.

Answers

Answer:

Step-by-step explanation:

Grace: -40t+250

Hannah: -54t+306

-40t+250 = -54t+306

SOLVE THE EQUATION ABOVE

t=4

The total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4 and this can be determined by forming the linear equations.

Given :

Grace is 250 miles away from the stadium and Hannah is 306 miles away from the stadium. Grace is driving along the highway at a speed of 40 miles per hour and Hannah is driving at speed of 54 miles per hour.

The following steps can be used in order to determine the number of hours afternoon when Grace and Hannah are the same distance from the stadium:

Step 1 - According to the given data, 'G' represents Grace's distance, in miles, away from the stadium and 'H' represents Hannah's distance, in miles, away from the stadium.

Step 2 - The linear equation that represents Grace's distance from the stadium is:

[tex]G = 250-40t[/tex]

Step 3 - The linear equation that represents Hannah's distance from the stadium is:

[tex]H = 306 - 54t[/tex]

Step 4 - The value of 't' when Grace and Hannah are the same distance from the stadium is:

[tex]306-54t = 250-40t[/tex]

Step 5 - Simplify the above expression.

[tex]56=14t[/tex]

[tex]\rm t = 4\;hr[/tex]

So, the total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4.

For more information, refer to the link given below:

https://brainly.com/question/11897796

Look at image please help I’m struggling 4 more minutes for the test is over

Answers

up 3 over 4 (4/3) all u do is count point to point

Chang rented a truck for one day. There was a base fee of 15.95, and there was an additional charge of 88 cents for each mile driven. Chang had to pay 210.43 when he returned the truck. For how many miles did he drive the truck?

Answers

Answer:

221 Miles

Step-by-step explanation:

Since there is a base fee, you substract that from the total.

210.43 - 15.95 = 194.48.

And since it was .88 per mile, you just divide 194.48 by .88 to get 221

Please help!! not sure if this is right :(

Answers

Answer:

Your answer is correct.

Step-by-step explanation:

Solve the problem algebraiclly i

Answers

Answer:

x=-3.75

Step-by-step explanation:

17 = -13-8x

30=-8x

x=-3.75

Answer:

Step-by-step explanation:

17=-13-8x

Step 1: add 13 to both sides

30=-8x

Step 2: divide by -8

-3.75=x

Can someone please help me

Answers

Answer:

(0,4)

Step-by-step explanation:

The x-axis is the horizontal line on the grid. When finding coordinates, we record the x-axis first. So in this case, look at point N.

N only comes up from 0 on the x-axis, so that's the first part of the coordinate.

Now for the y-axis. The y-axis is the vertical line on the grid. Point N seems to be on the number 4 of the y-axis.

so your answer is (0,4)

Suppose the equation of line t is y=x

Answers

Answer:

Hi

Step-by-step explanation:

what are these rational numbers in order? 3/4, 2/7, 2/10, 5/8, 2/3, 8/4.

Answers

Answer:

2/10, 2/7, 5/8 ,2/3 ,3/4 ,8/4

Step-by-step explanation:

I learned when I was younger that the fractions with smaller denominators are bigger. (1/3 > 1/4). That changes when the numerators change. So 1/3 < 3/4. It is kinda hard to explain but there is an easier way were you find the greatest common multiple and make all the denominators equivalent.

Evaluate each using the values given.
x-5-|xz|; use x = 8, and z=-10
A) -67 B) -80
C) -75 D) -77

Answers

D) -77

x - 5 - |xz|

8 - 5 - |(8)(-10)|

3 - |-80|

3 - 80

-77

Help asap

The soccer team is conducting a fundraiser selling long-sleeved T-shirts for $14 and short-sleeved T-shirts for $10. So far the team has sold less than $200 worth of the two types of T-shirts. Which inequality best represents x, the number of long-sleeved T-shirts they have sold, and y, the number of short-sleeved T-shirts they have sold?

x + y 200
14x + 10y > 200
14x + 10y < 200

Answers

Answer:

14x +10y < 200

Step-by-step explanation:

The inequality that represents the given condition is: 14x + 10 y < 200.

What is an inequality?

"An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions."

Given, the price per long sleeved t-shirt is $14.

The price per short sleeved t-shirt is $10.

The soccer team has sold less than $200 worth of both types of t-shirts.

Here, the number of long-sleeved t-shirts they have sold is 'x'.

The number of short-sleeved t-shirts they have sold is 'y'.

Therefore, the total price of long sleeved t-shirt sold is = $14 × x = $14x

The total price of short sleeved t-shirt sold is = $10 × y = $10y

Therefore, the required inequality will be:

14x + 10 y < 200

Learn more about an inequality here: https://brainly.com/question/18342668

#SPJ2

A warehouse elevator can hold 1750 pounds. A 200 pound worker loads the elevator with boxes that weigh 75 pounds each. The inequality describes the maximum number of boxes the worker can put on the elevator if he is also on the elevator. Which statement is true?

Answers

Answer: He can load at most 20 boxes.

Step-by-step explanation:

Let x = Number of boxes.

Then, Weight of 75 boxes = 75x

Also, Weight of worker = 200 pounds

So total weight in elevator =  Weight of 75 boxes + Weight of worker

=  75x  +200

A warehouse elevator can hold 1750 pounds.

∴ 75x  +200 ≤ 1750

⇒ 75x ≤ 1750 -200

⇒ 75x ≤ 1550

⇒ x ≤ 20.67   [Divide both sides by 75]

It implies the maximum number of boxes it can hold = 20

Hence, the true statement is

He can load at most 20 boxes.

Please help, this is my first time! Here is the question: Maria earned a total of $504 the last two days. She worked 8 hours the first day, 4 hours the second day. How much did Maria earn every hour? Please show how you did it, this is my first time, so please help.

Answers

Answer:

$42 per hour

Step-by-step explanation:

Well,

She got $504 in total

8 + 4 = 12 (the total number of hours worked)

To find out how much she earned per hour you'll need to divide.

$504 ÷ 12

which equals $42

Answer:

Maria earned $42 per hour.

Step-by-step explanation:

First, we need to add the total amount of hours she worked.

8 + 4 = 12

Next, we need to divide 504 and 12 to see how much she earned per hour.

504 ÷ 12 = 42.

So, Maria earned $42 per hour.

I hope this helps you! Welcome to Brainly. Good luck and have a great day. :)

Pleaseeee help !!! I don’t under stand this

Answers

Answer:

first one 10.50$ second 20.50 $ third 30.50$ forth 40.50 the cost of each t shirt

is 10.50$

Nadia charges $5.50 an hour for babysitting. She babysits 17.50 hours the first week of the month and 21 hours the second week of the month.


Suppose Nadia raises her rate by $0.55 an hour. How many hours would she need to work to earn the same amount of money she made in the first two weeks of the month?

Answers

Answer:

about 34 hours

Step-by-step explanation:

Answer:

35 hours.

Step-by-step explanation:

To achieve an answer to this question, we'll have to set two expressions equal to each other.

Let's first start by calculating how much Nadia has made in the first two weeks of the month. We can do this by adding the amount of hours she works in the first and second week together:

[tex]21+17.5[/tex]

[tex]=38.5[/tex]

Let [tex]h[/tex] equal hours.

Set up your first expression:

[tex]5.50h[/tex]

Let's go ahead and substitute 38.5 into the expression to see how much money she will make the first two weeks of the month at a rate of $5.50 an hour:

[tex]5.50(38.5)[/tex]

[tex]=211.75[/tex]

We are told that Nadia raises her rate by $0.55, so we'll need to add 0.55 to 5.50 in order to find her increased rate:

[tex]5.50+0.55[/tex]

[tex]=6.05[/tex]

Set up your second expression:

[tex]6.05h[/tex]

Now, set this equal to how much she made the first two weeks at a rate of $5.50 an hour:

[tex]211.75=6.05h[/tex]

Divide both sides of the equation by the coefficient of [tex]h[/tex], which is [tex]6.05[/tex]:

[tex]35=h[/tex]

Therefore, it will take Nadia 35 hours to earn the same amount of money she made in the first two weeks of the month.

_

Check your work by substituting 35 for [tex]h[/tex] in the equation below:

[tex]211.75=6.05h[/tex]

[tex]211.75=6.05(35)[/tex]

[tex]211.75=211.75[/tex]

Since both sides of the equation are equal to each other, our answer is correct!

Divide n by 5 then add 6

Answers

Answer:

n+30/5

Step-by-step explanation:

Simplify n/5

n/5+6

Rewrite the whole as an equivalent fraction

2.1 Add an integer to a fraction

Rewrite the whole as a fraction using 5 as the denominator: 6= 6/1=6×5/5

Equivalent fraction: the fraction thus generated looks different but has the same value as everything.

2.2 sum of the two equivalent fractions add two equivalent fractions that now have a common denominator

Combine the numerators, place the sum or difference over the common denominator, and then reduce to the lowest terms of possible:

n+6×5/5=n+30/5

5h=srt solve for t please help

Answers

Answer:

t=t

Step-by-step explanation:

we need h

write the linear equation in standard form y=4/3x-2/3​

Answers

Answer:

The answer would be -4/3x+y=-2/3

Step-by-step explanation:

The standard form formula is Ax+By=C. By just subtracting 4/3x both sides, the linear equation is know in standard form.

What is the equation of the line that passes throligh the point (-6, 6) and has a
slope of -5/3

Answers

Answer:

y = -1 2/3x - 4

Step-by-step explanation:

y = mx + b

Replace numbers with the corresponding variables

6 = -5/3 * -6 + b

6 = 10 + b

-4 = b

y = -1 2/3x - 4

Let me know if something's wrong :)

A family of 5 is going on a cross-country vacation. For a bit of variety, the family of 5 decides that they will frequently change the seating arrangement in their 5-seated vehicle. How many seating arrangements can they make if ALL of them have their driver's license.

Answers

Answer:

Step-by-step explanation:

This questions bothers permutation since permutation talks about arrangement.

The number of ways n objects can be arranged is n! ways

n! = n(n-1)(n-2)!

If a family of 5 is going on a cross-country vacation, and decided to change their seating arrangement. The total seating arrangement that they can have is;

5! = 5*4*3*2*1

5! = 20*6

5! = 120 different arrangements

5a+12 = 9A-12

Can anybody help me ?

Answers

Answer:

a=6

Step-by-step explanation:

5x+12=9x-12

5x+12-12=9x-12-12

5x=9x-24

5x-9x=9x-24-9x

-4x=-24

-24/-4

x=6

Answer: 12 + 5a = 9a + -12

Reorder the terms:

12 + 5a = -12 + 9a

Solving

12 + 5a = -12 + 9a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-9a' to each side of the equation.

12 + 5a + -9a = -12 + 9a + -9a

Combine like terms: 5a + -9a = -4a

12 + -4a = -12 + 9a + -9a

Combine like terms: 9a + -9a = 0

12 + -4a = -12 + 0

12 + -4a = -12

Add '-12' to each side of the equation.

12 + -12 + -4a = -12 + -12

Combine like terms: 12 + -12 = 0

0 + -4a = -12 + -12

-4a = -12 + -12

Combine like terms: -12 + -12 = -24

-4a = -24

Divide each side by '-4'.

a = 6

Simplifying

a = 6

Step-by-step explanation: found it off of google

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