Answer!
A car travels from A to B at a speed of 30 mph then returns, using the same road, from B to A at a speed of 65 mph. What is the average speed for the round trip?

Answers

Answer 1
Here is an example for your question



Average with respect to what? If we take the time-weighted average, the two legs of the trip will be weighted differently (the leg from A to B taking 60/40 = 3/2 times as long as the leg from B to A), and we will get an average of 48 MPH.

But the time-weighted average is not the only average we can consider. We could also consider the distance-weighted average (which might be useful if we were considering, say, the wear on the road caused by such travel); then the two legs would be weighted equally and the average would be 50 MPH.

Often, when people speak about average speed, it's the former of these notions which is implicitly meant (since speed itself is distance over time, we have the nice property that the time-weighted average of speeds will always be the total distance over the total time), but the latter is a perfectly legitimate notion as well. Averages are always averages with respect to some weighting, and different weightings will give different averages.
Answer 2

Answer:

         41 mph

Step-by-step explanation:

s₁ = s₂ = x       {the distance from A to B}

s = s₁ + s₂ = x + x = 2x      {the distance of the round trip}

t = t₁ + t₂               {the time of the round trip}

v₁ = 30 mph      

v₂ = 65 mph

t₁ = s₁/v₁ = x/30 h       {the time of trip from A to B}

t₂ = s₂/v₂ = x/65 h      {the time of trip from B to A}

The average speed:

[tex]v=\dfrac st=\dfrac{2x}{\frac x{30}+\frac x {65}}=\dfrac{2x}{x(\frac 1{30}+\frac1 {65})}=\dfrac{2}{\frac{13}{390}+\frac6{390}}=2\cdot\frac{390}{19}=41.05263...\approx41[/tex]


Related Questions

X - 3y = 6 and x - 3y = 9

Answers

The answer is that there are no solutions to the equations. They are parallel to each other and never cross. They can also be called inconsistent

Solve for the missing amount.
Of the 300 Sequoyah Cougars that play a sport, 20 % will go on to play high school sports.
How many Cougars will play a sport in high school?

Answers

Answer:

60

Step-by-step explanation:

Answer:

60 Cougars will play a sport in high school

Step-by-step explanation:

20% of 300 is 60.

What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where $a$ and $b$ are integers?

Answers

hahahahahahahahahahaha

srsly tho

is this still a problem you have? if so ill solve it.

the product of b and 2 is greater than or equal to 28

Answers

Answer:

[tex] b \geqslant 14[/tex]

Step-by-step explanation:

Product of b and 2 = 2b

According to the given description:

[tex]2b \geqslant 28 \\ \\ b \geqslant \frac{28}{2} \\ \\ b \geqslant 14[/tex]

What is the volume of the prism

Answers

The volume of the prism is 72

How to calculate the volume of the prism?

The height of the prism is 3 ft

The base of the prism is 24 square feet

The formula for volume of a prism is base multiplied by the height

Volume= base × height

= 3 × 24

= 72

Hence the volume of the prism is 72

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Evaluate -6 - (-1). (1 point)
O -7
O5
O -5
O6

Answers

[tex]-6-(-1)\\-6+1[/tex]

-(-1) = 1 as negative multiply negative equals positive.

Thus, the answer is -6+1 = -5.

The answer is the third choice, -5.

Mr. Borden was given a $50 gift card to use at the bowling alley. It costs him $10 per night to bowl. Each time he goes to the bowling alley he records the amount he has used and the amount he has left. If x is the number of nights bowled, b(x) is the balance on the gift card. Discreet

Answers

Answer:

He initially has $50 on his card.

For each night that he goes to play, $10 are discounted from the card, then if he went x nights to play, the amount of money that there is in the card is:

b(x) = $50 - $10*x

Now, notice that x must be a whole number because this measures the number of nights that he went to play, and we can not have rational numbers to describe this.

Then the domain of this function will be discrete (and this implies that the range must also be discrete)

Where the possible values of x are:

{0, 1, 2, 3, 4, 5}

(after x = 5, there is no more money in the card)

And the possible values of b(x) are:

{$0, $10, $20, $30, $40, $50}

Please help me with this question!
Raoul rode an elevator up e floors. He entered the elevator on the 5th floor and exited on the 34th floor. Which equation shows an equality between two different ways of expressing the floor Raoul exited?

A.) 34 = 5 + e

B.) 34 = e - 5

C.) 34 = 5 - e

D.) 34 = 5e

Thank you for your time!~
Lots of love for you~ <3

Answers

Answer:

The answer would be c

Step-by-step explanation:

PLEASE HELP WITH 37 IM MARKING BRAINLIEST TO THE CORRECT ANSWER

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

-5.9x - 3.7y = -2.1

5.9x + 3.7y = 2.1

If we add these two equations together, -5.9x cancels out 5.9x, -3.7y cancels out 3.7y, and -2.1 cancels out 2.1.

This leaves us with:

0 = 0

Since this is true, that means there are infinite solutions.

a canon launches a cannon ball vertically with an initial speed 30.m/s find; the maximum height

Answers

Answer:

45.9183 as the maximum height ............

Step-by-step explanation:

max height=v²/2g

       =900/19.6

       =45.9183 ................

The ice cream shop sells sundaes for $2 each and banana splits for $3 each. One day, the shop sold 8 more sundaes than banana splits and also made a total of $156. Which system of equations represents the situation?

Answers

Answer:

$82 sundaes

$74 banana split

Step-by-step explanation:

Step one :

Given data

Cost of sundaes =$2 each

Cost of banana split =$3 each

Let the number of sundaes bought be x

And the number of banana split bought be y

The total is x+y

The shop sold 8 more Sundaes than the Banana split

x=8+y—-------1

Total amount made = $156

Therefore the system of equation for the situation is

x=8+y----—----------1

2x+3y=156---------2

But x=8+y

8+y+y=156

8+2y=156

2y=156-8

2y=148

Divide both sides by 2

y=148/2

y=74

On That day they sold $74 banana split

And also they sold x=8+74=$82 sundaes

PLEASE HELP!!!

Karl filled up the tank of his truck with 400 liters of fuel and set out to deliver a shipment of bananas to Alaska. The truck consumed 0.8 liters of fuel for each kilometer driven.
Graph the relationship between the amount of fuel remaining in the truck's tank (in liters) and distance driven (in kilometers).

Answers

Answer:

you have it almost good. all you have to do is move the dot from (500,80) to (500,0) because by 500 kilometres all 400 liters of fuel has been used.

500*.8=400

Answer:

Step-by-step explanation:

This is the right answer

I screenshot the picture and it shows i got it right

After throwing away the rotten tomatoes, did Sheldon get more kilograms of strawberries or tomatoes? How many more kilograms?

Answers

Step-by-step explanation:

since he threw out tomatoes he has more kilograms of strawberries then tomatoes

Justin runs 5 laps around the track in 8 minutes. If Justin runs 12 laps at the same rate, how long will it take? Write your answer using numbers only, no units.
PLEASE ANSWER
WILL MARK BRANLIEST

Answers

Answer:

the answer should be 19.2

It will take 19.2 minutes

For a line with the equation y=2/3x−4, the slope is:

A 2


B 2/3 thirds

C 3


D -4

Answers

Answer:

The answer is B. 2/3 because y=mx+b mx us always the slope and b is the y intercept

Calculate the value of y

Answers

157 degrees ... set 4x-5 = x+16 then solve, you should get x=7, plug in 7 for one of the equations and you'll get 23. subtract 23 from 180 and get 157. hope that helped :)

Answer:

157°

Step-by-step explanation:

(4x - 5)° = (x + 16)°.. (vertical angles)

4x - 5 = x + 16

4x - x = 16 + 5

3x = 21

x = 21/3

x = 7

(x + 16)° + y ° = 180°...(Linear pair angles)

(7 + 16)° + y° = 180°

23° + y° = 180°

y° = 180° - 23°

y° = 157°

what is central and inscribed angle​

Answers

Answer:

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. This common endpoint forms the vertex of the inscribed angle. The other two endpoints define what we call an intercepted arc on the circle. The intercepted arc might be thought of as the part of the circle which is "inside" the inscribed angle.

A line segment AB has the coordinates A (2,3) AND B ( 8,11) answer the following questions. What are the coordinates of the mid point of AB?

Answers

Answer: the slope is m = 4/3

Find the area of the smaller sector. Plzzzz help!!!!!!!!!

Answers

Answer:

78.151 (approximately)

Step-by-step explanation:

To find the sector area, the formula is the angle of the sector out of 360° multiplied by the area of the full circle. Area of circle: pi × r²

=140/360×π×8²

=7/18×3.41×64

=7/18×157/50×64

=7/9×157/50×32

=7/9×157/25×16

=17584/225

=78.151 (approximately)

In a class of 65 students, 10 students liked Maths but not English and 20 students liked
English but not Maths. If 5 students did not like both, how many students liked both subjects?​

Answers

Answer: 30 students liked both.

step-by-step explanation: If there are 65 students and 10 liked math but not english you subtract 10 from 65, you get 55. You continue to the next one, 55-20= 35, now there are 35 students but 5 of those students don't like either, so 35-5=30, meaning there are 30 students that like both english and math. I hope this helps.

What number should go in the empty boxes to complete the calculation for finding the product of 0.53 × 0.67?


Please help due today

Answers

Answer:

0.3551

Step-by-step explanation:

0.53 x 0.67 = 0.3551

don't see empty boxes; hope this helps

Bill is making accessories for the soccer team. He uses 611.66 inches of fabric on headbands for 31 players and 3 coaches. He also uses 273.11 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

Answer:

26.8 inches of fabrics was used on headband and wristband for each player

Step-by-step explanation:

Headbands for 31 players and 3 couches = 611.66 inches of fabric

Total number of people = 31 players + 3 couches

= 31 + 3

= 34 people

Fabrics per person's headbands = Total inches of fabrics for headbands / total number of people

= 611.66 inches of fabric / 34 people

= 17.99 inches of fabrics per person

Wristband for 31 players = 273.11 inches of fabric

Fabric per person's wristband = total inches of fabrics for wristband / number of players

= 273.11 inches of fabric / 31

= 8.81 inches per person

How much fabric was used on a headband and wristband for each player?

= Fabrics per person's headbands + Fabric per person's wristband

= 17.99 inches + 8.81 inches

= 26.8 inches of fabrics was used on headband and wristband for each player

what is (2x+3)+(x+4)

Answers

Answer: 3x + 7

Step-by-step explanation:

Answer:

3+7

Step-by-step explanation:

Eliminate redundant parentheses

(2+3)+(+4)

2+3++4

Add the numbers

2+3++4    

2+7+

Combine like terms

2+7+      

3+7

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:12x^3y^5

Step-by-step explanation:

Answer:

[tex]\huge\boxed{12x^3y^5}[/tex]

Step-by-step explanation:

[tex]4x^2y^3\times3xy^2=(4\cdot3)(x^2\cdot x)(y^3\cdot y^2)=12x^{2+1}y^{3+2}=12x^3y^5[/tex]

Graph -5 1/4 on the number line. Click on the number line to identify the number's location.

Answers

Answer:

the one after 5

Step-by-step explanation:

press the one after 5

The point -5 1/4 is plotted on the number line in the graph as shown.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. A graph consists of some points and lines between them.

For the given situation,

The point is -5 1/4.

We need to plot this point on the number line shown.

In the graph below, the point -5 1/4 is plotted on the number line.

Hence we can conclude that the point -5 1/4 is plotted on the number line in the graph as shown.

Learn more about graphs here

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You want to rent a television. Company A charges $40 per week plus a one-time fee of $25. Company B charges $35 per week plus a one-time fee of $45. After how many weeks are the total costs the same at both companies?

Answers

Answer:

4 weeks

Step-by-step explanation:

Company A charges $40 per week and a one time fee of $25

Company B charges $35 per week and a one time fee of $45

Therefore the number of weeks required for both companies to arrive at the same cost can be calculated as follows

Company A = 45 + 35×4

= 45 + 140

= 185

Company B = 25 + 40×4

= 25 + 160

= 185

Hence it will cost both companies 4 weeks

4 3/7 - 2 5/14 Can someone Please Please help me??

Answers

Answer:

29 over 14

Step-by-step explanation:

Sara bought 12 apples, 24 oranges, and 18 bananas for fruit baskets. If Sara wants to create the greatest number of fruit baskets that all have the same amount of fruit without any left over, how many baskets can she create?

Answers

Answer:

Step-by-step explanation:

Apples- 2

Oranges-4

Bananas- 3

In each basket

What is the ratio of 4 red apples and 3 green apples

Answers

Answer:

4:3 8:6 12:9 so on

Step-by-step explanation:

Answer:

4 to 3 or 3 to 4

Step-by-step explanation:

depending on how the question is worded if its red the green then 4 to 3 but if it green to red then its 3 to 4.

is x-3=x+3 one solution no solution or many solutions

Answers

Answer:

The answer is no solutions

Step-by-step explanation:

Let's solve your equation step-by-step.

x−3=x+3

Step 1: Subtract x from both sides.

x−3−x=x+3−x

−3=3

Step 2: Add 3 to both sides.

−3+3=3+3

0=6

Therefore, no solutions :)

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