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

60 pts!!! HELP Find the inverse of the function f(x)= 4/9 x-4
show work

Answers

Answer:

Inverse Function: f^-1(x) = 9/4x + 9

Step-by-step explanation:

To find  the inverse function we can interchange the position of the variables x and y, and then solve for y;

y = 4/9x - 4 => x = 4/9y - 4,

x = 4/9y - 4,

4/9y = x + 4,

y = 9/4x + 9/4(4),

y = 9/4x + 9/ f^-1(x) = 9/4x + 9

Please help! Will mark brainiest what’s the domain of H?

Answers

Answer:

Domain: (-5,5)

Step-by-step explanation:

-5 < x < 5 (of course the inequality signs are equal to as well)

the survey report suggest that 2 out of three boy likes to play baseball what is the decimal expansion of two thirds

Answers

decimal expansion of 2/3 is .666666666666
decimal expansion of 2/3 is .6666666666

Kristen is building a pattern using triangles

Answers

Answer:

good for Kristen! lol

Step-by-step explanation:

glad she's enjoying herself! thanks for the points... have a good day!

Answer:

yrsese

Step-by-step explanation:

Y=mx+
finish the equation
Its one of the options
M
B
F
C

Answers

Answer:

B

Step-by-step explanation:

The equation is y=mx+b

m=slope

b=y-intercept

Answer:

b

Step-by-step explanation:

The slope intercept form of a line  is given by

y = mx+b  where m is the slope and b is the y intercept

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

A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 420 feet. Determine the​ flag's length and width if the length is 110 feet greater than the width. Use pencil and paper. Write three situations to which you could apply the resulting system of equations.
What is the length of the flag?

Answers

Answer:38

Step-by-step explanation:

Help me boys and girls

Answers

I'm sure you already have the answers by now, and thanks for the points! I need it...

thanks for the points i hope you don't mind i will venmo

Factor by grouping.(7m + 2)(3m + 5) (7m – 2)(3m – 5) (7m – 2)(3m + 5) (7m + 2)(3m – 5)

Answers

Answer:

40m

Step-by-step explanation:

(7m+2+3m+5+7m-2+3m-5+7m-2+3m+5+7m+2+3m-5)

40m+0

40m

x=2y-1
3x-3y=9
a. substitution; (7,4)
b. elimination using multiplication; (3, 2)
C. substitution; (4,7)
d. elimination using multiplication; -21,-10)​

Answers

Answer: Substitution (7,4)

Step-by-step explanation: Since the value of X is given to us, just plug that in to the other equation to solve for the y coordinate.

Select the correct answer from the each drop-down menu. if 0

Answers

Answer:

You didn't provide a image of the problem how am I suppose to help you

Enter the correct answer in the box. Write the factored form of the least common denominator needed to simplify this expression. (g+1/g^2 + 2g - 15)+ (g+3/g+5)

Answers

Answer:

(g+5)x(g-3)

Step-by-step explanation:

Edmentum/PLATO answer:

Rewrite the expression:

g+1/g^2+5g-3g-15 + g+3/g+5

Factor out g from expression:

g+1/gx(g+5)-3g-15 + g+3/g+5

Factor out g+5:

g+1/(g+5)x(g-3) + g+3/g+5

Least common denominator: (g+5)x(g-3)

Please help I don’t know the answer!!!!!

Answers

Answer:

BC= 8

Step-by-step explanation:

When you are looking at length you can count all the units.

there are 8 units and the length of BC is 8

Can someone solve these by elimination?

Answers

Answer:

x=1 and y=2 for number 4

Step-by-step explanation:

Solve the system of equations.

2x-3x=21 and -6x+2y=7

Answers

Answer:

(-21, -59.5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

2x - 3x = 21

-6x + 2y = 7

Step 2: Solve for x

2x - 3x = 21

Combine like terms:                    -x = 21Isolate x:                                       x = -21

Step 3: Solve for y

Define equation:                    -6x + 2y = 7Substitute in x:                       -6(-21) + 2y = 7Multiply:                                  126 + 2y = 7Isolate y term:                         2y = -119Isolate y:                                  y = -59.5

Find the area of a circle having circumference 176 cm...Pls answer this question...

Answers

Answer:

area of circle = 2464 cm²

Step-by-step explanation:

circumference = 176 cm

formula of circumference = 2πr

2πr = 176 cm

2 × 22/7 × r = 176 cm

44/7 ×r = 176 cm

r = 176 ÷ (44/7)

r = 176 × 7/44

r = 28 cm

area of circle

= πr²

= 22/7 × 28²

= 22/7 × 784

= 2464 cm²

which statement is true ​

Answers

Answer:

the answer is B that is

ΔABC is similar to ΔEDC

Step-by-step explanation:

look at the figure abc and edc completely match together as a is a right angle and is at the the first, similarly e is also a right angle and is at the first. also b is at the same place as d i.e. in between the right angle and the last angle.

moreover, c is at the last in abc just like in edc

Can someone pls help me :-(

Answers

Answer:

One: x =  3/32

Two: y =  3/10

Step-by-step explanation:

One

y = k*x

1/4 = k* 1/8                    Multiply both sides by 8

8(1/4) = 8*k*(1/8)

8/4 = k

k = 2

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

3/16 = 2*x                      Divide by 2

3/32 = x

Two

y = 2/5

x = 1/3

2/5 = k * 1/3                   Multiply both sides by 5

2 = 5*k * 1/3

2 = 5/3 * k                     Multiply both sides by 3

6 = 5 * k                        Divide both sides by 5

6/5 = k

y = 6/5 * x

x = 1/4

y = 6/5 * 1/4

y = 6/20 = 3/10

im really slow help please

Answers

The one u have marked is correct
2^3
Yes indeed. The one you have picked is right

what is 7.0893 as a decimal but in expanded form​

Answers

Answer:

expanded form: 7+0.08+0.009+0.0003

Step-by-step explanation:

7 = the ones place

0.08 = hundredths place

0.009 = thousandths place

0.0003= ten thousandths place

On a Given the planet The weight of an object varies directly with the mass of an object suppose that an object whose mass is 3KG weighs 24N Calculate the mass of another object that weighs 32N

Answers

Answer:

im too confused. What am i supposed to be doing?

Step-by-step explanation:

Answer:

The mass =32/24×3

The mass is 4kg

Step-by-step explanation:

a sandbox is in the shape of a right triangle. The two legs measure 9 inches and 16 inches. what is the perimeter of the sandbox?​

Answers

Answer:

Perimeter = 50 inches

Step-by-step explanation:

Use pythagoreon theorem to find the hypotenuse

a^2 + b^2 = c^2

3^2 + 4^2 = 5^2

9 + 16 + 25 = perimeter

perimeter = 50

What is 160 rounded to the nearest hundred

Answers

Answer:

♡ madeline here ♡

the answer is 200, stay safe!

✧・゚: *✧・゚:・゚✧*:・゚✧・゚

Step-by-step explanation:

Write a linear function f with f(0)=3 and f(−6)=3.

f(x)=

Answers

Answer:

y = 3

Step-by-step explanation:

The equation of a line is;

y = mx + c

Now, when f(0) = 3, it means at x = 0, y = 3.

Thus;

3 = 0 + c

3 = c

Also, f(−6) = 3

Thus;

3 = -6m + 3

6m = 3 - 3

6m = 0

m = 0/6

m = 0

Thus,equation is;

y = c

y = 3

Two systems of equations are shown below:

System A
System B
3x + 2y = 3
−x − 14y = 1
−2x − 8y = −1
−2x − 8y = −1


Which of the following statements is correct about the two systems of equations? (1 point)

The value of x for System B will be one−third of the value of x for System A because the coefficient of x in the first equation of System B is one third times the coefficient of x in the first equation of System A.
The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding −4 to the first equation of System A and the second equations are identical.
They will have the same solution because they represent the same lines when plotted on the coordinate axes.
They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 2 times the second equation of System A.

Answers

Answer:

The two linear equations represented in system A as :

3 x + 2 y =3   -------(1)

- 2 x - 8 y = -1  ------(2)

(1) × 2 + (2) × 3 gives

⇒ 6 x + 4 y - 6 x - 24 y = 6 -3

⇒ - 20 y = 3

⇒ y =

Putting the value of y in equation (1), we get

Two linear equation represented in system B is:

3.   -x - 14 y =1

4.   - 2 x - 8 y = -1

-2 ×Equation (3) + Equation (4)=

2 x +28 y- 2 x - 8 y= -2 -1

⇒ 20 y = -3

⇒y =

Putting the value of y in equation (3),we get

As Two system , that is system (A) and System (B) has same solution.

By looking at all the options , i found that Option (D) is correct. The two system will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 2 times the second equation of System A.

what's the common difference in −1,−4,−7,−10

Answers

Answer:

-3

Step-by-step explanation:

HELPPPP i’ll give brainliest if it’s right!!!

Answers

Answer:

the answer is A and D

Step-by-step explanation:

Answer:

[tex]\sqrt{19}[/tex] & [tex]\sqrt{48}[/tex]

Step-by-step explanation:

[tex]\sqrt{81}[/tex] = 9

[tex]\sqrt{64}[/tex] = 8

Both are rational, so they are not correct

HELP WILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

huh

ok

....................................

the table above shows the number of miles four different cars traveled and the amount of gasoline each car consumed. which car has the best mileage?

PLEASE HELP

Answers

Answer:

A. Pontiac

Step-by-step explanation:

Camry's mileage = Miles travelled / gallons of fuel used

= 196 / 11

= 17.82

Pontiacs mileage = Miles travelled / gallons of fuel used

= 220 / 13

= 16.92

Bluck's mileage = Miles travelled / gallons of fuel used

= 356 / 15

= 22.25

Toyotas mileage = Miles travelled / gallons of fuel used

= 583 / 21

= 27.76

The car with the best mileage is Pontiac

I need help with this ​

Answers

12
y=27
p=5
a=28
r=32
c=4
q=11
u=5
w=30
z=1
sorry if these are wrong or mixed up
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