An old car has to travel a 2-mile route, uphill and down. Because it is so old, the car can climb the first mile, the ascent, no faster than an average speed of 15 mi/h. How fast does the car have to travel the second mile, on the descent, to achieve an average speed of 30 mi/h for the trip

Answers

Answer 1

Answer:

2s + 30 = 2s

Step-by-step explanation:

Time up hill + time down hill = total time

:

Multiply equation by 30s; results

2s + 30 = 2s

:


Related Questions

What is the probability of rolling a dice and rolling a 5, then rolling it again and rolling an 6?

Answers

Answer:

1/6

Step-by-step explanation: Im going to guess the dice has 6 sides, rolling any number on that 1 dice would be a 1/6 chance. I hope this helps!

Solve |d + 4| > 10
a.d<-14
b. d> 6
c. -14 < d<6
d. d<-14 or d > 6

Answers

Answer:

b. d > 6

Step-by-step explanation:

Answer:

D. d<-14 or d>6

Step-by-step explanation:

To solve for d, isolate it on one side of the equation.

|d+4|>10

d+4<-10 or d+4>10

1. d+4<-10

First, you have to subtract by 4 from both sides.

[tex]\sf{d+4-4 < -10-4}[/tex]

Solve.

Add or subtract the numbers from left to right.

-10-4=-14

[tex]\Longrightarrow: \boxed{\sf{{d < -14}}}[/tex]

2. d+4>10

Subtract by 4 from both sides.

[tex]\sf{d+4-4 > 10-4}[/tex]

Solve.

Subtract the numbers from left to right.

10-4=6

[tex]\Longrightarrow: \boxed{\sf{d > 6}}[/tex]

Therefore, the correct answer is "D. d<-14 or d>6".

I hope this helps. Let me know if you have any questions.

IKEA has 6428 glass tables. 5472 People bought glass tables. How many Glass tables left? ikea needs a raise man®™™™‰£


ok awnser

Answers

Answer:

956 glass tables would be left.

Step-by-step explanation:

Well, if each person bought a single table and since it would be impossible for all of them to by more than 1 or to buy an amount between 2 and 1, we can find the answer by subtracting 5472 from 6428.

6428 - 5472 is equal to 956.

The distance by rail from Leicester to Londonis 100 miles.


Assume that the train travels at an average speed of 80 mph.


Calculate the arrival time in London of a train that leaves Leicester at 11:50 a. M.


Input note: write your answer in 24 hour clock mode

Answers

The arrival time in london of a train that leaves Leicester to london at 11:50 A.M is 13:05 pm.

To calculate the arrival time in london of a train that leaves Leicester to london at 11:50 A.M, use use the formula below.

Formula:

Ta = [(d/s)+11:50]....... Equation 1

Where:

Ta = Arrival timed = distance from Leicester to Londons = Speed

From the question,

Given:

d = 100 miless = 80 mph

Substitute these values into equation 1

Ta = [(100/80)+11:50]Ta = 1.25h+11:50Ta = 1 hours 15 minutes +11:50Ta = 13:05 pm

Hence, the arrival time in london of a train that leaves Leicester to london at 11:50 A.M is 13:05 pm.

Learn more about time here: https://brainly.com/question/4931057

In one-half hour, a car traveled 20 km. Find the average velocity in km/min. (Round to the nearest
hundredth)

Answers

Step-by-step explanation:

[tex]s = 20km \\ t = 30min[/tex]

[tex]v = \frac{s}{t} \\ v = \frac{2}{3} [/tex]

[tex]v = 0.67[/tex]

[tex]v = 0[/tex]

Can someone teach me how do this! Please and thanks!

Answers

Check the picture below.

write 701.3% as a whole number or mixed number in simplest form

Answers

7013/10

Step-by-step explanation:

first, count the decimal to the right

as you can tell, we can only do it once so therefore we get 10

we then multiply 701.3/1 both sides with 10

then we get out answer 7013/10

if the circumference of a circle is 6.28 what is the circles radius

Answers

Answer: 1

Step-by-step explanation: Circumference is 2 x 3.14 × radius

6.28 = 6.28 × radius

Radius is 1

When f(x) = –3, what is x?

–29
–10
–3
–1

Answers

Answer:

x = - 1

Step-by-step explanation:

I hope this will help you

Which of the following is the difference of two squares? 16a^2-9b^6 4g-16h 25m^2+100n^2 2x^2-4y^2

Answers

Answer:

16a^2 - 9b^6

Step-by-step explanation:

16a^2 - 9b^6   ---> 16a² is the square of 4a; 9b^6 is the square of 3b³

This is the difference of 2 squares

4g - 16h --->  4g and 16h are not perfect squares.

 

25m^2 + 100n^2 ---> this is a sum of squares, not a difference of squares  

2x^2 - 4y^2 ---> 2x² is not a perfect square

Answer: 16a^2 - 9b^6

Cylinder A has a radius of 7 inches and a height of 5 inches. cylinder B has a volume of 490 pi. What is the percentage change in volume from cylinder A to cylinder B

Answers

Units of volume : in^3

Volume of Cylinder A
pi(r^2)(h) = (pi) (49) (5) = 245pi

Volume of Cylinder B
490pi

490pi = 2(245pi)
So the percentage change in volume is 200%

Which of the following statements is true about the three quadrilaterals?

A and B are similar but not congruent.
A and C are similar but not congruent.
A and B are similar and also congruent.
B and C are similar and also congruent.

Answers

hii the answer is
A and B are similar but not congruent
I think it should be right

What is the exact circumference of a circle with a diameter of 18
inches?

Answers

Answer:

18 pi inches

Step-by-step explanation:

Circ of circle = pi * d

                      = 18 pi      exactly

                     

6.
April sold 85 tickets to a school play
and collected a total of $495. If adult tickets cost $10 each and child
tickets cost $5 each, how many adult tickets and how many child tickets did she sell?

Answers

Answer:

adult tickets =14

child tickets =71

Step-by-step explanation:

x is adult tickets

y is child tickets

x+y=85

10x+5y=495

y=85-x

2x+y=99

2x+(85-x)=99

x=99-85=14

y=85-x=85-14=71

Math question about geometry. (will give brainliest to whoever answers correctly with an explanation)

Answers

Answer:

72 cm³

Step-by-step explanation:

The formula to find the volume of a trianglular based pyramid is [tex]V=\frac{1}{3}bh[/tex], where V is the volume, b is the area of the vase, and h is the vertical heightSubstitute in the values[tex]V=\frac{1}{3}\times (\frac{1}{2}\times 12\times 4)\times 9 = \frac{1}{3}\times 48\times 9 = \frac{1}{2}\times 48\times 3 = 72[/tex]

Which inequality is represented by this graph? A. B. C. D.

Answers

The correct answer is C. This is because the shaded part, the y, is less than the line, so it would be <, but the line is not dotted, so then it would be less than or equal to.

A rectangular pool has a length of 10 feet, a width of 8 feet, and a height of 6 feet. What is the volume of the pool?

Answers

Answer:

volume = 10 x 8 x 6 = 480

Step-by-step explanation:

that’s the volume equation length x width x height

100 Points and Brainly.

Write an Equation

Based on the information write an equation that represents the relationship between the time you spent doing the activity and the amount of the activity you completed. Make sure to define your variables.

This is my data
-------------------------------------------------------------------------
3. I did the activity 105 Times in a minute and a half

4. The Dependent Variable is 105

5. The Independent Variable is 1 minute.

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

Answers

Answer:

See below

Step-by-step explanation:

Feel free to be creative or even to come up with an activity you think your teacher has not seen before.

Liked that. So let's be creative.

Part 1: Record Information

Spend a short amount of time (one to five minutes) doing your activity. Answer the following questions:

1. What was the activity?

I am from Japan and practice Kendo (feel free to search about it). Suppose you are doing suburi. You did 100 joge suburi.

2. How long did you spend doing your activity?

Suppose it took you 5 minutes.

3. How much of the activity did you complete in the time period? (Example: I did 24 sit-ups in one minute.)

You did 100 joge suburi in 5 minutes. It means [tex]\frac{100}{5} =20[/tex] [tex]per[/tex] [tex]minute[/tex]

4. Which of these variables is your dependent variable?

If you want to calculate how much suburi you did in an amount of time , given the time in minutes, we can write the function

[tex]y=f(x)=20x[/tex]

Therefore, the dependent variable is the number of suburis. More precisely it is given by [tex]y[/tex]. On the other hand, the independent variable is [tex]x[/tex], the time.

Considering the example: I did 24 sit-ups in one minute.

sit-ups is the dependent variable and the number of minutes represents the independent variable.

Note: The number of sit-ups will depend on the time. 24 is the coefficient. In this case, the function would be

[tex]g(x)=24x[/tex]

5. Which one is the independent variable?

The time in minutes.

6. Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio language can help.)

You can write: The ratio of suburi done is 100:5 or 20:1 because for every 1 minute passed you did 20 suburis.  

Part 2: Prepare a Table

Assuming that you could complete the activity at the same rate over different time periods, how much of the activity could you complete in two minutes, three minutes, four minutes, and five minutes? (Note: If you spent two minutes doing your activity, then you should edit the table below and use multiples of 2 up to 10).

You may use the table below for your variables.

Time (minutes)          Quantity of suburi

0                                         0

1                                          20

2                                         40

3                                         60

4                                          80

5                                         100

Part 3: Prepare a Graph

Create a graph to show your relationship. Make sure you include all the parts for a graph and show the data clearly. Include a title for the graph and label the x- and y-axes.

This part I will let it to your. But is is just a linear graph.

Part 4: Write an Equation

Based on your recorded values, write an equation that represents the relationship between the time you spent doing the activity and the amount of the activity you completed. Make sure to define your variables.

[tex]y=f(x)=20x,[/tex] ∀[tex]x[/tex] ∈ [tex]Z[/tex][tex]\geq_0[/tex]

[tex]y:[/tex] [tex]number[/tex] [tex]of[/tex] [tex]suburis[/tex]

[tex]x:[/tex] [tex]time[/tex]

7. If you were able to maintain this rate of your activity for 12 minutes, how much of the activity would you be able to complete?

For [tex]x=12[/tex]: [tex]y=f(12)=20*12=240[/tex]

240 suburis

8. How long would it take you to reach 100 for the number of times you did your activity?

5 minutes.

9. Which representation do you believe is the best way to share this information with someone else? This is your opinion. No answer is right or wrong.

The function is the best because it describes all the variables easily.

please help youll get brainliest

Answers

Answer:

B) f(x) = 2/5㏒(x) + 2

Step-by-step explanation:

Given graph

f(x) = ㏒₂ x

Changes

Transformed up by 2 unitsvertically compressed by factor of 0.4

Solving

Shifted up by 2 units

f(x) = ㏒₂ (x) + 2

Vertically compressed by factor of 0.4

f(x) = 2/5㏒(x) + 2

Please help!!!! Will mark brainliest if correct!!
Find the measure of the arc or angle indicated.

A. 60°
B. 90°
C. 30°

Answers

Answer: A

Step-by-step explanation:

Find the value of x (show all work on paper):
Adj: 48
Hyp: 50

A:42
B:10
C:14
D:70

Answers

Answer:

16.260 (3 d.p.)

Step-by-step explanation:

Use SOHCAHTOASince you have the adj and hyp, use CAHcos(x) = adj / hyp = 48 / 50x = cos-1(48/50) [What i mean by cos-1 is the inverse of cosine. You can find this by pressing shift + cos on most calculators)This gives you 16.260 (to 3 d.p.)

Select the correct answer from each drop-down menu. betty picks 4 random marbles from a bowl containing 3 white, 4 yellow, and 5 blue marbles. the probability that exactly 1 of the 4 marbles drawn is blue is . the probability that at least 1 of the 4 marbles drawn is white is .

Answers

The probability of exactly 1 of the 4 marbles drawn being blue and at least 1 of the 4 marbles drawn being white will be 0.3535 and 0.7454 respectively.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Betty picks 4 random marbles from a bowl containing 3 white, 4 yellow, and 5 blue marbles.

The total number of the marbles will be

Total marble = 3 + 4 + 5

Total marble = 12

Then the probability of exactly 1 of the 4 marbles drawn being blue will be

[tex]\rm P(B) = \dfrac{^5C_1 \times ^7C_3}{^{12}C_4}\\\\P(B) = \dfrac{35}{99} = 0.353535[/tex]

Then the probability of at least 1 of the 4 marbles drawn being white will be

[tex]\rm P(W) = \dfrac{^{3}C_1\times \ ^{9}C_3}{^{12}C_4} + \dfrac{^{3}C_2\times \ ^{9}C_2}{^{12}C_4} + \dfrac{^{3}C_3\times \ ^{9}C_1}{^{12}C_4} \\\\\\P(W) = \dfrac{252}{495} + \dfrac{108}{495} + \dfrac{9}{495}\\\\\\P(W) = \dfrac{369}{495}\\\\\\P(W) = 0.745454[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

Answer:

A. 0.3535.

B. 0.7455.

Step-by-step explanation:

The probability that exactly 1 of the 4 marbles drawn is blue is 0.3535. The probability that at least 1 of the 4 marbles drawn is white is 0.7455.

144=(n+1)^2 this equation should have 2 answers

Answers

Answer:

(12)^2=(n+1)^2

12=n+1

12-1=n

n=11

Step-by-step explanation:

another one

(12)^2-(n+1)^2=0

(12-n-1)(12+n+1)=0

either:-

n=11 or n=-13

[tex]~~~(n+1)^2 =144\\\\\implies n+1= \pm\sqrt{144}\\\\\implies n+1 = \pm12\\\\\implies n = \pm12 -1\\\\\text{Hence,}~ n = 11 ~\text{and}~ n = -13[/tex]

Please help! Please break down what equation or process I need to do to get the answer as well :/

Answers

Check the picture below.

Which triangle would be most helpful in finding the distance between the points (-4,3) and (1, -2) on the coordinate
plane?

Answers

Answer:

Right Triangle, the distance between these two coordinates is 5.83 in whatever unit you're measuring.

Step-by-step explanation:

Generally when you're using triangles to find the distance between two graphed points, you're using a right triangle.

[tex]9 + 25 = 34\\\sqrt{34}=5.83[/tex]The reason behind that being you can draw lines on the x and y axis of these points and find where they connect. After doing so, you can directly connect the two points and create a right triangle.

To find the distance between the two points using a right triangle, we can use the formula for the hypotenuse: [tex]a^2 + b^2=c^2[/tex]

A and B is the distance between the point and where the lines you've drawn intersect. C is the resulting distance between the two points.

Plugging in A and B, which is 3 and 5, we can find C. 3 squared is 9 and 5 squared is 25.

[tex]3^2 + 5^2 = 9 + 25[/tex]

Now we add the two and find the square root.

[tex]9+25=34\\\sqrt{34} =5.83[/tex]

Your answer is 5.83

In the game "Let’s Make a Meal" there are 10 covered dishes to choose from:2 broccoli, 2 carrot, 2 cake, 1 chicken, 2 fish, and 1 meatloaf. What is the probability of choosing a vegetable?

Answers

Answer: 4/10 chance or 40%

Step-by-step explanation: Vegetables- 4 Others- 6

4x+3y=9 and 3x +4y = 36

Answers

The solution of the system of equations:

( -16.7, 19.28)

How to solve the system of equations?

Here we have the system:

4x+3y=9

3x +4y = 36

First, we need to isolate one of the variables in one of the equations, let's isolate x on the second one:

x = 36/3 - (4/3)y = 9 - (4/3)y

Now we can replace this in the other equation:

4*(9 - (4/3)y) + 3y = 9

36 - (16/3)y + (9/3)y = 9

- (7/3)y = -36 - 9 = -45

y = (3/7)*45 = 19.28

To get the value of x, we get:

x = 9 - (4/3)*19.28 = -16.7

Then the solution of the system is ( -16.7, 19.28)

If you want to learn about systems of equations:

https://brainly.com/question/13729904

#SPJ1

What is the solution to the equation 2(×+2. 4)=6. 4

Answers

Answer:

0.8

Step-by-step explanation:

2x + 4.8 = 6.4

2x = 6.4 - 4.8

2x = 1.6

x = 0.8

Answer:

x = 0.8

Step-by-step explanation:

In the question we're given with an equation that is 2 ( x + 2.4 ) = 6.4 . And we're asked to find the solution of the equation that means we have to find the value of x .

Solution : -

[tex] \longmapsto \: 2(x + 2.4) = 6.4[/tex]

Step 1 : Removing parenthesis by multiplying 2 with x and 2.4 :

[tex] \longmapsto \: 2x + 4.8 = 6.4[/tex]

Step 2 : Subtracting 4.8 on both sides :

[tex] \longmapsto \: 2x + \cancel{4.8} - \cancel{4.8 }= 6.4 - 4.8[/tex]

On further calculations :

[tex] \longmapsto \:2x = 1.6[/tex]

Step 3 : Dividing by 2 on both sides :

[tex] \longmapsto \: \frac{ \cancel{2}x}{ \cancel{2 }} = \frac{1.6}{2} [/tex]

Calculating further :

Here , we have removed decimal from 1.6 . So it'll become 16 and 10 it'll divided by 10

[tex] \longmapsto \:x = \cancel { \frac{16}{2}} \times \frac{1}{10} [/tex]

Step 4 : Cancelling 16 by 2 :

[tex] \longmapsto \:x = \frac{8}{10} [/tex]

[tex] \longmapsto \: \green{\underline{ \green {\boxed{x = 0.8}}}}[/tex]

Therefore value of x is 0.8 .

Verifying : -

We are verifying our answer by substituting value of x in given equation. So ,

2 ( x + 2.4 ) = 6.4

2 ( 0.8 + 2.4 ) = 6.4

2 ( 3.2 ) = 6.4

6.4 = 6.4

L.H.S = R.H.S

Hence, Verified .

Therefore, our value for x is correct .

#Keep Learning

A microwave raises the temperature of water by about 90 F in 5 minutes . Which graph has the slope that represents this rate of increase

Answers

Answer:

B.

Step-by-step explanation:

Look at all graphs and find 90 deg on the left side. Follow it to the right until you intersect the graph. then go straight down. You must intersect the x-axis is 5 minutes. The only graph that does this is B.

Answer: B.

I think the answer is B because here's the explenation.

What is 3/4 of 8/9? Make sure the answer is fully reduced.

Answers

Answer:

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

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

Solve

"Of" means to multiply, so start off the equation multiplying the top numbers by the top numbers, and the bottom numbers by the bottom numbers as though they are whole numbers.

[tex]\frac{3*8}{4*9} = \frac{24}{36}[/tex]

Find the greatest common factors of 24 and 36, starting with 24

     24:  1, 2, 3, 4, 6, 8, 12, 24

     36:  1, 2, 3, 4, 6, 9, 12, 18, 36

As shown, the greatest common factors are 12, so divide by 12 to simplify.

[tex]\frac{24 / 12}{36/12} = \frac{2}{3}[/tex]

Two-thirds cannot be simplified, so that will be your final answer.

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