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

what is the area if b=16mm and h=12mm

Answers

Answer: 96

Step-by-step explanation: the formula for area of a triangle is 1/2 (b)(h)

so 1/2 (16)(12)

= 96

Write the equation of the line parallel to the line 3x + 5y = 7 and passes through the point (-1, 3) in standard form.

Answers

5y = -3x + 7
y = -3/5x + 7/5
Parallel = same slope
y = -3/5x + b
3 = -3/5 + b, b = 18/5
Standard form: Ax + By = C
y = -3/5x + 18/5
-3/5x - y = -18/5
Multiply by -5
Solution: 3x + 5y = 18

Which absolute value number sentence is false? a. 171 +1-6 = 13 b. 1-151 - 1-8] = 7 c. 1-12 + 1-2 = 10 d. 1111 - 1-41 = 7 ​

Answers

Answer:

C.

Step-by-step explanation:

This is because the absolute value of -12 is 12 and the absolute value of -2 is 2. So then the equation would look like this: 12 + 2 = 10, which is a false equation.

Hope this helps!

9) How much edging is needed to go
around a bulletin board that is 3 feet
high and 2 feet wide?

Answers

Answer:

10 feet worth

Step-by-step explanation:

3+3=6

2+2=4

6+4=10

Which point is located at (4, 1)?
A
B
C
D

Answers

Answer:

A is located at (4,1)

Step-by-step explanation:

The first number will always be on the x-axis and the second will always be on the y-axis. For example: (x,y) so A is (4,1) , B is (-4,1), C is (1,4) and D is (-1,4).

Hope this helps! ;)

Final Answer: Point A

Steps/Reasons/Explanation:

Question: Which point is located at [tex](4, 1)[/tex]?

The x-axis would be 4 and the y-axis would be 1. The x-axis is horizontal and the y-axis is vertical.

For the x-axis, it tells you the markings of the numbers, so moving to the right would be positive and left would be negative.

For [tex](4, 1)[/tex] we would go four to the right and one up. Point A is located there.

~I hope I helped you :)~

6. Solve the following equation for y.
3x - 4y = 6

Answers

Answer:

3x−4y+−3x=6+−3x

−4y=−3x+6

Step 2: Divide both sides by -4.

−4y

−4

=

−3x+6

−4

y=

3

4

x+

−3

2

Step-by-step explanation:

Answer:

y = 0.75x - 1.5

Step-by-step explanation:

3x - 4y = 6

-4y = -3x + 6

y = 3/4x - 6/4

y = 0.75x - 1.5

hope this helps, pls mark brainliest :D

Enter the coordinates of the vertices of (r(270°,O) ∘ T⟨1, −2⟩)(QRST).

Answers

Answer:

where bro i will let you know in the comments section

Line A Is Parallel To Line B. If The Measure Of Z7 Is 114”, What Is The Measure Of 3​

Answers

Answer:

114°

Step-by-step explanation:

because they are parallel they have the same measure

The measure of angle 3 is equal to 114° when angle 7 is 114° by the corresponding angle property.

What are correspondence angles?

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

According to the definition of corresponding angles, when two parallel lines cross the third one, the angles that are in the same relative position at each intersection are referred to as being corresponding angles to one another.

In the image, it is given that angle 7 is 114 degrees. As in the image, the two parallel lines a and b are cut by the transversal line. The given angle 7 is 114°.

From the correspondence angle property, the two angles on the same side of the transversal line will be equal to each other. The angle 3 will be calculated as:-

∠7 = ∠3

114 =  ∠3

Therefore, angle 3 will be 114°.

To know more about an angle follow

https://brainly.com/question/25770607

#SPJ5

Which of the following is divisible by 5 but not 10 ? 230, 255, 260, 500

Answers

Answer:

255 -_-

Step-by-step explanation:

230 is divisible by both

260 is divisible by both

500 is definitely divisible by both

Just use your calc

Linda had a previous balance of $1,000 and made an on-time credit card payment of $800. She has a credit line of x dollars and made purchases totaling y dollars. Write an algebraic expression that represents her current available credit.

Answers

Answer:

[tex]x-200+y[/tex]

Step-by-step explanation:

We can determine the algebraic expression that represents her current available credit by first finding her new balance using the formula:

Previous balance - Payments + Total Purchases = New balance

where, previous balance = $1000; payments = $800; total Purchases = y

New balance = [tex]1000-800+y[/tex]

Next, to find her Credit balance or current available; we use the formula; Credit line - New balance

where credit balance = x; new balance =  [tex]1000-800+y[/tex]

Current available credit = [tex]x-200+y[/tex]

A box contains 4 blue chips and 5 black chips. If two chips are drawn at random with replacement, what is the probability that both will be blue

Answers

Answer:

Step-by-step explanation:

divide the number of blue chips over the total chips

the probability that first one will be blue 4/9

the probability that second one will be blue 4/8

Hi! Please help me solve this:

How did the temperature change if:
at first it decreased by 10% and then by 30%?
(I need the percent value)

Answers

Answer

by 20%????

Step-by-step explanation:

simplify: -7 - 8

Change 1 6/7 to a decimal round to the nearest tenth.

Answers

Answer:

-15

1.9

Step-by-step explanation:

-7 - 8 = -15

1 and 6/7 = 1.857142857142857142857142.....

about 1.9

Need help ASAP please

Answers

x equals 7.1 if you round to the nearest tenth

Answer:

=

Step-by-step explanation:

Round off 12 and get 10

What is the solution for 4x +14 = 66

Answers

Answer:

x = 13

Step-by-step explanation:

4x + 14 = 66

     -14     -14

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

     4x = 52

     ----   ----

      4      4

      x = 13

Which graph represents the function f(x) =-x|–2?

Answers

The third top graph

Answer:

C.

Step-by-step explanation:

please answer i will give you brainiest!!!!!!!!!!!!!!!!!!

Answers

Answer:

I'm pretty sure it's A because its showing that the line starts from 1 and goes up if that makes sense.

Answer:

B

Step-by-step explanation:

x < 1 means that x is lesser than 1. A shows x is more than 1 so it is wrong. C shows x is more than -1 which is not entirely true since x could be more than -1, but not less than 1. However, the line in C stretches all the way to 8 which is more than 1 so it is wrong.  D shows that x is lesser than -1, but x could have been 0 or -1, so it is not true either.

58.6 km/h in cm/min solve and explain me ​

Answers

Answer:

PLEASE MARK AS BRAINLIEST!!!!!!!

58.6 kilometer/hour = 97666.666667 centimeter/minute

Step-by-step explanation:

How to Convert Centimeter/minute to Kilometer/hour

1 cm/min = 0.0006 km/h

1 km/h = 1666.6666666667 cm/min

Example: convert 15 cm/min to km/h:

15 cm/min = 15 × 0.0006 km/h = 0.009 km/h

how many times can 23 go into 26​

Answers

1 time you will have a decimal left over tho

Answer: 1.13043478 times

Step-by-step explanation:

15 out of 20 students own hand-held games; 105 out of 160 students own hand held games. PLEASE HELP ME ASAP

Answers

Answer: No the ratios are NOT related  

Step-by-step explanation:

What is a GEM math program?

Answers

Answer:

Gifted European Mathematicians (G.E.M.) project

Step-by-step explanation:

hope it is correct

Solve l5+2xl < 17
(I couldnt find the brackets soo, yea. THANKS!)

Answers

Answer:

X<6

Step-by-step explanation:

Subtract 5 to the other side, so 2x is by itself. 2x<17-5, which is reduced to 2x<12. Divide by 2 so x is by itself. x<6.

Answer:

-11 < x < 6

Step-by-step explanation:

order these numbers from from least to greatest

27    3/9   1/5    1.23    75%​

Answers

Answer:

I don't know...jkkk

Step-by-step explanation:

First put the fractions and percents as decimals

27, 0.5,0.2, 1.23, 0.75

Now you can easily order them from LEAST to GREATEST

0.2,0.5,0.75,1.23,27

Hope this helps! :)

just get 10 points get some points have fun use them wizely

Answers

Answer:

thank you

Step-by-step explanation:

Solve. x =
A
41°
B.
C
Plz help me fast

Answers

Answer:x= 49°

Step-by-step explanation:

Samuel scored a 32.5/40 on his most recent math test what percent did he earn in the test round to the nearest whole percent

Answers

Answer: 81%

Step-by-step explanation:

From the question, we are informed that Samuel scored a 32.5/40 on his most recent math test.

Based on the values given, to convert it to percentage, we have to multiply the score by 100. This will be:

= 32.5/40 × 100

= 3250/40

= 81.25%

= 81% to nearest whole number

Find the value of 
[tex] log_{8}^{512} [/tex]
please help friends....​

Answers

Answer:

3

Step-by-step explanation:

log 8 512 = 8^ x=512. x=3

Hope this helps :D

the answer would be log=3

use standard algorithm to solve
1,457 x 56​

Answers

it needs 20 characters to submit lol

At McCord Middle school, 40 percent of the 500 students ride their bikes or walk home. How many students ride their bikes or walk to school A. 12 B. 80 C. 200 or D. 2,000 it is not D. tho

Answers

I’m pretty sure the answer is C ( 200)

Answer:

200

Step-by-step explanation:

C

PLEASE HURRY.
24. Factor completely
(1 Point
14x^3 – 16x^2 + 21x – 24

Answers

Answer:

(7x - 8)(2x² + 3)

Step-by-step explanation:

Given

14x³ - 16x² + 21x - 24 ( factor the first/second and third/fourth terms )

= 2x²(7x - 8) + 3(7x - 8) ← factor out (7x - 8) from each term

= (7x - 8)(2x² + 3)

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