take the horse to overtake the
17. A car completes a journey at an average speed of 40 km/h. At what
speed must it travel on the return journey if the average speed for the
complete journey (out and back) is 60 km/h?
Help

Answers

Answer 1

Answer:

120 km/h

Step-by-step explanation:

Speed in one direction = 40 km/hSpeed on return = xAverage speed = 60 km/h

Let the distance be d

Average speed

2d/(d/40 + d/x) = 60d/40 + d/x = 2d/601/40 + 1/x = 1/301/x = 1/30 - 1/401/x = (4-3)/1201/x = 1/120x = 120 km/h


Related Questions

1. Simplify:
4(4y-7y^{2})-9(5y+2)

2. Simplify:
24 – 4(5y – 6z) + 3y – 7z

Answers

Answer:

1)-

How to solve your question

Your question is

4(4−72)−9(5+2)

4(4y-7y^{2})-9(5y+2)4(4y−7y2)−9(5y+2)

Simplify

1

Rearrange terms

4(4−72)−9(5+2)

4({\color{#c92786}{4y-7y^{2}}})-9(5y+2)4(4y−7y2)−9(5y+2)

4(−72+4)−9(5+2)

4({\color{#c92786}{-7y^{2}+4y}})-9(5y+2)4(−7y2+4y)−9(5y+2)

2

Distribute

4(−72+4)−9(5+2)

{\color{#c92786}{4(-7y^{2}+4y)}}-9(5y+2)4(−7y2+4y)−9(5y+2)

−282+16−9(5+2)

{\color{#c92786}{-28y^{2}+16y}}-9(5y+2)−28y2+16y−9(5y+2)

3

Distribute

−282+16−9(5+2)

-28y^{2}+16y{\color{#c92786}{-9(5y+2)}}−28y2+16y−9(5y+2)

−282+16−45−18

-28y^{2}+16y{\color{#c92786}{-45y-18}}−28y2+16y−45y−18

4

Combine like terms

2)

−17y+17z+24

See steps

Step by Step Solution:

STEP1:Equation at the end of step 1

((24 - 4 • (5y - 6z)) + 3y) - 7z

STEP2:

Final result :

-17y + 17z + 24

−282+16−45−18

-28y^{2}+{\color{#c92786}{16y}}{\color{#c92786}{-45y}}-18−28y2+16y−45y−18

−282−29−18

-28y^{2}{\color{#c92786}{-29y}}-18−28y2−29y−18

Solution

−282−29−18

Complete the missing value in the solution to the equation.

Answers

Answer:

x = 0

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define

6x + 7y = 4x + 4y

y = -4

Step 2: Solve for x

Substitute:                               6x + 7(-4) = 4x + 4(-7)Multiply:                                   6x - 28 = 4x - 28Add 28 on both sides:            6x = 4xSubtract 4x on both sides:     2x = 0Divide both sides by 2:           x = 0

Answer:

The correct Answer to this is 6

Step-by-step explanation:

I also had this on Khan and got it right many times.

A game decreased in price by 1/2
After the reduction it was priced at £23.
What was the original price of the game?

Answers

Answer:

23 x 2 = 46

the answer is 46 pounds

(-7x⁵+14-2x)+(10x⁴+7x+5x⁵)​

Answers

Answer:

− 2 x^5 + 10 x^ 4 + 5 x + 14

Step-by-step explanation:

A light-year is a unit used to measure large distances in space. One light-year is approximately equal to 5.88 trillion miles. On a map of the Milky Way Galaxy, the scale is 1 inch:70 light-years. If two stars on the map are 19 inches apart, about how far apart are they in the galaxy?

Answers

Answer:

[tex]7.8204\times 10^{15}\ \text{miles}[/tex]

Step-by-step explanation:

In the map the scale is

[tex]1\ \text{inch}=70\ \text{light-years}[/tex]

So

[tex]19\ \text{inches}=19\times 70=1330\ \text{light-years}[/tex]

In miles

[tex]1\ \text{light-year}=5.88\times 10^{12}\ \text{mi}[/tex]

[tex]1330\ \text{light-years}=1330\times 5.88\times 10^{12}=7.8204\times 10^{15}\ \text{miles}[/tex]

The galaxies are [tex]7.8204\times 10^{15}\ \text{miles}[/tex] apart.

Which data set matches the line plot?

Answers

Answer:

The answer is below

Step-by-step explanation:

The Correct data set is 1/4, 1/2, 1/2, 1, 1, 1, 1, 1 1/4, 1 1/4, 2, 2, 2, 2, 2, 2, 2.

The Correct option is (B)

What is Box- plot?

An illustration of variation in a set of data is called a box and whisker plot. A histogram analysis usually gives an adequate display, but a box and whisker plot can add more detail while enabling the display of different sets of data on the same graph.

Given:

As, given from the box plot

1/4 - 1 cross

1/2 - 2 cross

3/4- 0 cross

1 - 4 cross

1  1/2 - 0 cross

1 1/4 - 2 cross

1 3/4 - 0 cross

2- 6 cross

So, the correct set is 1/4, 1/2, 1/2, 1, 1, 1, 1, 1 1/4, 1 1/4, 2, 2, 2, 2, 2, 2, 2

Learn more about Box- plot here:

https://brainly.com/question/1523909

#SPJ2

3 James completely covered a square poster board using 68.2 in. of cardstock. Which measurement is
closest to one side of the poster board in inches?​
a. 34 in.
b.8 in.
c. 6 in.
d.30 in.
I NEEP HELPP FAST

Answers

Answer:

8 in

Step-by-step explanation:

Area of a square = l×w

Since it is a square then l and w are equal to each other.

So we can instead just say l^2 = A

l^2 = 68.2

l = square root of 68.2

l = 8.26

find the range value of x which satistfy inequality (x + 2)² > 2x + 7

Answers

Answer:

the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]

Step-by-step explanation:

We need to find the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex]

Solving:

[tex](x + 2)^2 > 2x + 7[/tex]

Using formula: [tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex]x^2+4x+4>2x+7\\x^2+4x+4-2x-7>0\\x^2+4x-2x+4-7>0\\x^2+2x-3>0[/tex]

Now factoring the term: [tex]x^2+2x-3>0[/tex]

Breaking the middle term: 2x= 3x-x

[tex]x^2+2x-3>0\\x^2+3x-x-3>0\\x(x+3)-1(x+3)>0\\(x-1)(x+3)>0\\x-1>0 \ or \ x+3>0\\x>1 \ or \ x<-3[/tex]

So, the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]

g(x) = 5x – 12. What is g(8)?

Answers

Answer:

38?

Step-by-step explanation:

the answer dude lol..............

Please help! Its algebra 2

Answers

Answer:

Step-by-step explanation:

1. factor completely

5. simplify first fraction

4. common denominator

2 add the fractions

3. open paranthesis and combine like terms

Which represents the value of Point D on the number line?
A
B
С
D
-2
0
2
-4
-(-3)
O-(-4)

Answers

Answer:

c

Step-by-step explanation:

your welcome

Answer:

D

Step-by-step explanation:

Does the table represent a proportional or a nonproportional linear relationship?​

Answers

Answer:

nonproportional

Step-by-step explanation:

proportional would mean that the y intercept is 0 but it's 3

Write an equation that is perpendicular to the line 8x-4y=12 and pass through the origin

Answers

Answers


Explanation

So first we’re gonna change the equation to y=Mx+b by subtracting the 8x and then dividing both sides by -4. This can be show like this

8x-4y=12
-8x. -8x

-4y=-8x+12
/-4. /-4

Y=2x-3

So now that we have the equation in Y=Mx+b. The problem still isn’t done because it’s asking us to set up an equation that’s perpendicular. Which means the slope becomes the opposite

So the slope isn’t 2 anymore but instead -1/2! So now that we know that we need to make the line go through the origin which is very easy because you can just set the y intercept to 0.

So now that the perpendicular line is

Y=-1/2x or y=-1/2x +0

I hope I explain this well!

Please mark as Brainliest

PLEASE HELPPPPP ASAPPP

Answers

Answer:

y = (-3/5)x - 7

Step-by-step explanation:

you are given the points (5,-10), (-10,-1)

a slope of (-1+10)/(-10-5) = -9/15 = -3/5 can be determined

using the point (0,-7), we can get y+7=(-3/5)(x - 0)

simplified: y = (-3/5)x - 7

Identify the vertex of g(x) = (x + 14)? - 8.
(-14, -8)
(-14,8)
a.
b.
G
d.
(14, -8)
(14, 8)

Answers

Do you think you can send a picture of the problem I’m not really understanding

Item 3
Oil is spilled onto a kitchen floor. The area covered by the oil at time t is given by the function A, where A(t) is measured in square centimeters and t is measured in seconds. Which of the following gives the rate at which the area covered by the oil is changing at time t=10 ?

Answers

Answer:

By an online search, i found that the options are:

Option A. A(10)

Option B. A(11)-A(9)

Option C. A(10)/10

Option D. A’(10)

Let´s start by defining the concept of a derivative.

When we have a function f(x), the derivative, f´(x), is a measure of the rate of change of f(x) with respect to the variable x.

Then if A(t) represents the area covered by the oil, A´(t) is the rate of change of this area as a function of t.

Particularly, A´(10), will be the rate of change at t = 10.

Then the correct option is: Option D. A´(10)

an elevator ride down 65 stories

Answers

Answer:

Question isn't clear

Step-by-step explanation:

10pts and I’ll mark brainliest!
(Also EXPLAIN the reasoning you used to write the expression)

Answers

I think it is -5................

what is it????????? s

Answers

3.25 meters

First find the rectangle area by multiplying the dimensions (1*2.5)
Next take the bottom number and subtract 2.5 from it to find only the triangle length (1.5)
Next multiply the width and length of the triangle (1.5*1) and divide by 2 (.75)
Add them together
3.25

pls write the steps u did​

Answers

Answer:

They aren't parallel because the intersections with Via La Playa do not make equal alternate interior, alternate exterior angles, or corresponding angles.

Step-by-step explanation:

Angle a is 140 degrees since it and 40 degrees are supplementary. The angle supplementary to 130 degrees is 70 degrees. All of the vertical angles are congruent.

A cardboard box has edges of length 5.5 in, 3.2in,and 7.25 in.what is the volume of the box?I will gave u Brainliest if u tell me the answer have a nice day

Answers

Answer:

The answer is 127.6

Step-by-step explanation:

To find the volume of something, you multiply.

So:5.5 times 3.2 times 7.25 is equal to 127.6

HOPE THIS HELPS YOU!!!!    :)

Answer:

127.60 square inches

Step-by-step explanation:

Multiply the diameters all together to get your answers.

5.5 x 3.2 x 7.25

Multiply

5.5 x 3.2 = 17.6

Multiply some more

17.6 x 7.25 = 127.6

You can also just multiply like this:

5.5 x 3.2 x 7.25 = 127.6

Hope this helped :)

Please consider Brainliest :)

Opening Exercise
Use mental math to solve the following:
Number String
100% of 180 =
25% of 180 =
-75% of 180 =
37.5% of 180 =

Answers

Answer:

100% of 180 = 180

25% of 180 = 45

-75% of 180 = -135

37.5% of 180 = 67.5

Step-by-step explanation:

I looked them up on an app so I hope its right!

Which equation matches the graph?

Answers

Answer:

A

Step-by-step explanation:

Suppose that a phone that originally sold for $800 and loses 3/5 of its value each year after it is released.
1. After 1 year, what is the value of the phone?
2. After 2 years, what is the value of the phone?
3. Write an equation for the value of the phone, p, t years after it is released.

Answers

Answer:

1 st year = $320

2nd year $128

320p - 192t = $128

Step-by-step explanation:

Please Rate 1-10, Then also add what your favorite one is.

Answers

Answer:

first one

Step-by-step explanation:

first one 10/10

2nd ome 9.6/10

I like the first one better

Answer:

2 one is my favorite

Step-by-step explanation:

1 , 9

2, 10

3, 8

4, 5

5, 1

PLEASE HELP ME !

Determine the range of the inequality 4x2 + 3x - 10

Answers

Answer:

-22

Step-by-step explanation:

type it in google

Michael charges a flat rate of $25 plus $20 per hour, x, to service air conditioners. The total cost Michael charges is f(x). [3 points]
A) What does the independent and the dependent variables represent?
Independent __________________________________
Dependent ____________________________________
B) Write a function rule in function notation for the total cost of his services, for x hours.
Function Rule _____________________________

Show work and answer throughly

Answers

Part (A)

Answers:

Independent Variable = x = number of hours

Dependent Variable = f(x) = total cost in dollars

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

Explanation:

The independent variable is always x. When dealing with time, the time value is often the independent variable as time does its own thing. It marches on without any influence or external factors to change it.

On the other hand, the total cost is affected by time. The more time goes on, the higher the total cost will be. We say the total cost is dependent on the time. The dependent variable is always y, which can be replaced with f(x). In short, y = f(x).

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

Part (B)

Answer:

f(x) = 20x + 25

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

Explanation:

The flat rate of $25 represents the initial cost. This is the cost if x = 0 hours of work is done. So this is the cost to get in the door, so to speak. You can think of this as the parts cost (from "parts and labor").

On top of that initial cost is the cost of $20 per hour. This can be thought of as the labor cost. If a job takes 1 hour to do, then we add on $20 to the flat rate of $25. If it takes 2 hours, then we add on 2*20 = 40 dollars. And so on. For x hours, we add on 20x dollars. Whatever x is, we multiply by 20.

So overall we have a flat rate of $25 and a variable rate of 20x dollars giving a total cost of f(x) = 20x+25

As a check, plugging x = 0 should lead to f(x) = 25

Plugging x = 1 should lead to f(x) = 20+25 = 45

And so on.

What percent is 14 of 20?
SHOW UR WORK

Answers

14% of 20

A percent is out of 100
14 is out of 100 = 14/100
As decimal would be 0.14
0.14x20 = 2.8

Answer:

14 is 70% of 20

Step-by-step explanation:

1. We assume, that the number 20 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 20, so we can write it down as 100%=20.

4. We know, that x% equals 14 of the output value, so we can write it down as x%=14.

5. Now we have two simple equations:

1) 100%=20

2) x%=14

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=20/14

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14 is what percent of 20

100%/x%=20/14

(100/x)*x=(20/14)*x       - we multiply both sides of the equation by x

100=1.42857142857*x       - we divide both sides of the equation by (1.42857142857) to get x

100/1.42857142857=x

70=x

x=70

now we have:

14 is 70% of 20

Please help me with this

Answers

Answer:

no she does not have enough floir for baking

Answer:

Since the amount of flour required is more than amount purchased, Karina does not have enough flour to make the bread.

Step-by-step explanation:

[tex]2\frac{2}{3}[/tex]= [tex]\frac{8}{3}[/tex]

[tex]2\frac{5}{7} = \frac{19}{7}[/tex]

Cross multiply the 2 values and compare

[tex]\frac{8}{3} and \frac{19}{7}[/tex]

8x7 and 19x3

56<57

The area of a square garden is 1/121 km squared. How long is each side?

Answers

Answer:

[tex]hello[/tex]

[tex]the \: area \: of \: square \\ \: garden \: = 1/121 \: {cm}^{2} [/tex]

,[tex]sides = ?[/tex]

[tex]now[/tex]

[tex]area \: = \ {sides}^{2} \\ [/tex]

[tex]=>1/121 \: = \: {sides}^{2} \\ \\ =>\sqrt{1/121} \: = \: sides \\ \\=>1/11 cm = \: sides[/tex]

[tex]therefore, \: sides \: of \: the \: \\ squre \: is \: 1/11cm[/tex]

Have a safe Life

Other Questions
Which of the following situations is the best example of a positive consequence?A.Adams dad made him pay for his own car insurance because he got a third speeding ticket.B.Adriana had to repeat the sixth grade because she decided her homework was not important.C.Maurices coach made him sit on the bench during the track meet because he chose to skip track practice on Wednesday.D.Dillon was able to play on his computer for an extra hour because he watched his brother and sister when his mom went to the store. Which of following is the graph of y = -(x + 1)2-3? all of the following are terminating decimals except__.17/501/82/32/5 Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $150,000 or $290,000 with equal probabilities of 0.5. The alternative risk-free investment in T-bills pays 6% per year. A. If you require a risk premium of 7%, how much will you be willing to pay for the portfolio?B. Suppose the portfolio can be purchased for the amount you found in (a). What will the expected rate of return on the portfolio be? C. Now suppose you require a risk premium of 15%. What is the price you will be willing to pay now? select all that apply which decimals in the list are repeating decimals5/6 4/153/51 3/41/34/1000 Evaluate the expression x/2+5x7 when x=2 . Mr. Ramsey bought 5 pounds of dog food for $10. How much did he pay per pound in dollars?$15.00 per pound$5.00 per pound$50.00 per pound$2.00 per pound What is the relationship between interest rates and aggregate spending?A.when interest rates increase, aggregate spending also increasesB.when interest rates increase, aggregate spending decreasesOC. they do not have any relationODboth the factors are affected favorably by any external factorO E.both the factors are affected adversely by any external factor Convert -145 degrees to radians. Valerie bought a coat at a winter half-price sale. A sales tax of $6.24 was added to the sale price, bringing the cost of the coat to $84.24. Which of the following equations would give the original price ( p ) of the coat? A t-shirt increased in price by 14. After the increase it was priced at 20. What was the original price of the t-shirt? The recipe for beef stew calls for 1/4 teaspoon of pepper for every 3 potatoes. If 9 potatoes are used, how much pepper is needed?Solve the proportion StartFraction one-fourth over 3 EndFraction = StartFraction p over 9 EndFraction to answer the question. Explain your steps: Which inequality relates BC and XY? 80 points and brainliest!!!!Pleaseeeeee Help Meeeee!!!! Find the quotient 4020. Tori is sending a birthday gift to her friend out of state and wants to know how much brown paper she will need tocover the box.8 in10 in.14 inWhich statement is true about the amount of paper Tori will need to cover the entire box?O Covering the entire box is the surface area, which is 664 in.?.O Covering the entire box is the surface area, which is 1,120 in.?O Covering the entire box is the volume, which is 664 in.3.O Covering the entire box is the volume, which is 1,120 in.?. The first 3 terms of n+7 how many moles of water are needed to react with 100. g of al4c3 What is a plot in a story? EXERCISE.. What is personal hygiene?