A mars rover traveled from point a to point b at a speed of 4 cm/sec. Worsening conditions during the return trip caused the rover to travel at a speed of 2.5cm/sec and increased the travel time by 15 minutes. what is the distance between point a and point b?

Answers

Answer 1

Answer:

60

Step-by-step explanation:

time * speed

in seconds 60x *4 = 2.5(60x + 900)

x= 25

25 min * 4cm/2

distance = 60 meters

CHEck!!!

Answer 2

Using a system of linear equations, the distance between points A and B is 6000 cm

Initial speed = 4cm/sec

Time taken = Distance / speed

Let ; distance = d

To time :

t = d / 44t = d ______(1)

Fro time :

(t + 15 × 60) = d / 2.5

2.5(t + 900) = d

2.5t + 2250 = d ______(2)

Equate (1) and (2)

4t = 2.5t + 2250

4t - 2.5t = 2250

1.5t = 2250

t = 1500 seconds

From (1) :

d = 4t

d = 4(1500)

d = 6000 cm

Therefore, the distance from point A to B is 6000 cm

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Related Questions

1. How has the cost of a movie ticket changed over the last 30 years? What has been the general trend? How can you tell this from the graph? (2 points)
2. What years did the cost of movie ticket decrease compared to the year before? How can you tell from the graph when the price is decreasing? (2 points)

Student Name:
Predicting Movie Ticket Costs Activity
3. There was a time where the cost of a movie ticket stayed relatively the same over several years. For what years did the cost stay relatively the same? How can you tell this from the graph? (2 points)
4. The graph could be divided up into three different periods of relatively consistent ticket price change: The years 1980 – 1988, 1989 – 1993 and 1994 – 2011. Can you find a typical rate of change in the price of a ticket for each of these time periods? In other words, on average, by how much did the price of a ticket increase by each year during each of these time periods? (2 points)
5. Predict the cost of a ticket in 2012 – 2015. Plot your predictions and give your actual predictions for each year below. How did you determine how much a ticket would cost each year? (2 points)
6. What might have been the cost of a ticket during the years 1975 – 1979? Plot your estimates on the grid and give your actual predictions for each year below. How did you determine how much a ticket would cost each year? (2 points)

Student Name:
Predicting Movie Ticket Costs Activity
7. Find a line of best fit to represent the data. Let y = ticket price and x = the number of years since 1980 (1980 is year zero, 1981 is year one). Approximate a line to represent the data, a slope, a y- intercept and equation that models your line of best fit. (2 points)
8. Use your equation (or graph or a table) to predict the cost of a movie ticket in the years 2020 and 2030. Be sure to show how you came to each answer. (2 points)

Answers

Answer:  

1. For most of the 1990s, tickets sold for an average of less than $5 apiece, and dating back to the 1960s, many Americans could go to the movies for less than a buck. 24/7 Wall St. reviewed data from the National Association of Theatre Owners to determine the cost of a movie ticket the year you were born. A full-price AMC ticket is averages $10.50 nationwide, reflecting a 50-cent increase. Concession prices also increased.

Your asking alot for 50 points so i did 1..

Step-by-step explanation:

The formula to convert Celsius to Fahrenheit is F=57,C+32. If
the temperature is 92 degrees Fahrenheit. What is the
temperature in Celsius?

Answers

Answer:

the value of Celsius temperature is 100

o

 when Fahrenheit temperature is 212

o

.

Step-by-step explanation:

Jasmine surveyed the people at a local playground. She found that 33 out of 55 people brought water bottles. On Wednesday, Jasmine returns to the park and finds that 1212 people brought water bottles. About how many people do you expect were at the park on Wednesday? Enter the number of people at the park on Wednesday.

Answers

Answer:

2,020 people were at the park.

Step-by-step explanation:

33/55 = 1212/x

(1212 * 55)/33 = 2,020

find the value of x ​

Answers

The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.

In the given problem, x represents the exterior angle, while the m < 65° and m < 48° are the non-adjacent interior angles.

To find the value of x:
65° + 48° = x
113° = x

Therefore, the value of x = 113°

What is the answer first one to answer gets marked braniest

Answers

Answer:

15

Step-by-step explanation:

Multiples of 5 are 10, 15, 20, 25, .......

The only number shown to be a multiple of 5 is 15

15 because 16,21 and 7 aren’t mutiples of 5

Work out m and c for the line:
Y = 2x – 1
m =
C =

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The values are :

[tex] m = 2[/tex]

[tex]c = - 1[/tex]

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

The equation of the given line is :

[tex]y = 2x - 1[/tex]

aand general equation of a line is :

[tex]y = mx + c[/tex]

where,

m = slope of the line

c = y - intercept of the line

now, by equating both the equations we get :

[tex]m = 2[/tex]

[tex]c = - 1[/tex]

*Add 6 to the difference between 9 and 7*

Answers

Answer:

(9-7)+6

2+6

8...........

Answer:8

Step-by-step explanation:9-7=2. 2+6=8

what is
m(x)=4x+15; m(x)=7

Answers

Answer:

x = -2

Step-by-step explanation:

m(x) = 4x+15; m(x) = 7

7= 4x+15

7-4x=15

-4x=15-7

-4x=8 / :(-4)

x= -2

a basketball player makes 140 out of 350 free throws. find the percent by using equivalent fractions​

Answers

Answer:

140/350 = 14/35 = 2/5 = 40/100 = 40%

Step-by-step explanation:

I hope this helps

<3

A farmer wants to fence a small rectangular yard next to a barn. Fence for side parallel to the barn will cost 55 per foot and the fence for the other two sides will cost 45 per foot. The farmer has a total of 1650 dollars to spend on the project. Find the dimensions for the yard that will have the largest possible area.

Answers

Answer:

55 divided by 45= 1.222222222222    1650 divided by 1.222222= anserw

Step-by-step explanation:

HELPPP PLEASEEE
If θ is 180 degrees and the radius is 4.9 cm, the length should be

A) 10.4 cm
B) 13.6 cm
C) 15.4 cm
D) 16.6 cm

Answers

Answer:

15.4 is right ans

Step-by-step explanation:

using this formula θ ×(22÷7÷180)×r

Two-thirds of the sum of a number squared and 5 is fourteen

Answers

Answer:

2/3( x^2 + 5 ) = 14 or 2/3x^2 - 32/3

Step-by-step explanation:

Part 1:

Two-thirds ( 2/3 )

of the ( (---) )

sum ( + )

of a number squared ( x^2 ) and 5 ( + 5 )

is fourteen ( = 14 )

Part 2 (Not super confident about):

2/3( x^2 + 5 ) = 14

2/3x^2 + 10/3 = 14

2/3x^2 - 32/3

Hopefully this helps!

Brainliest please?

Jodi is going to start up a cookie baking business over the summer to make some extra money. It costs her $2.45 in supplies to make a dozen cookies. She wants to markup the price by 150%. How much should she sell a dozen cookies for? $

Answers

Sfbxdfgbbffjxhndkxhbdbdidhdbdudbdjxudj

Which of the following does not represent a function?

Answers

Answer:

D or last one

Step-by-step explanation:

Verify the graphs by the vertical line test.

If a vertical line crosses the graph at two or more points, then it is not a function.

We can see the first 3 graphs pass the test but the last one fails.

So the last graph (bottom right picture)  doesn't represent a function.

0.5y+7=5(0.2+1.5y) someone please help I got y=1.36 but its wrong

Answers

Answer:

y= 6/7

Step-by-step explanation:

0.5y + 7 = 5( 0.2 + 1.5y )

Get rid of the brackets first

0.5y + 7 = 1 + 7.5y

Move the like terms

0.5y + 7 - 7.5y = 1

0.5y - 7.5y = 1 - 7

Collect the like terms

-7y = -6

Divide both sides by -7 to get y on its own

y= -6/-7

A negative number divided by a negative number gives a positive number so

y = 6/7

Answer:

y=6/7  or 0.857 aprox.(0.86)

Step-by-step explanation:

[tex]0.5y+7=5(0.2+1.5y)[/tex]

[tex]0.5y+7=1+7.5y[/tex]

[tex]7.5y-0.5y=7-1[/tex]

[tex]7y=6[/tex]

[tex]y=6/7= 0.857[/tex]

I hope this help you

find the mean of
35,26,31,16,21,23,27,30,26,17,19,27​

Answers

Hello!

To find the mean, we must add all the terms in the dataset and divide by how many there are.

35+26+31+16+21+23+27+30+26+17+19+27=450

There are 12 terms in the dataset, so we divide by 12:

37.5

So the mean of this set is 37.5.

Hope this helps you!

~Just a joyful teen

[tex]SilentNature[/tex]

24.83333333 is the answer

identify an equation in point-slope form for the line perpendicular to y= 4x - 9 that passes through (-5, 3)

Answers

Hello there!

The slopes of perpendicular lines are opposite reciprocals. It means we take the slope of the given line, flop it over and make it negative.

And then just plug in the points:

y-y1=m(x-x1)

y-3=-1/4x-(-5)

y-3=-1/4x+5

Hope this helps!

~Just a joyous teen

[tex]GraceRosalia[/tex]

This image may be the result of the

1. Construction for copying line AB

2. Construction of a line parallel to line AB through point P

3. Construction of a line perpendicular to line AB and line PU.

4. Construction of a line perpendicular to the line AB through point P

If mZRQS is 750, then mZTPU is

1. 15
2. 75
3. 105
4.150

Answers

due to my knowledge its 75 because it is.

Step-by-step explanation:

first I thought the angles at Q and P are right angles (90 degrees). but the last part tells me they are not.

so, all the "perpendicular" answers are out.

answer 1 and 2 are all correct but I would pick 2, because it had the most detail that's true.

and since these 2 lines are parallel, the must have the same angles with the crossing line.

therefore, when the angle RQS is 75 degrees, then the angle TPU is also 75 degrees.


Find the value of x. 50​

Answers

The value of x is 47.

The angles of a triangle equal 180 degrees. You’re given two angles with the vale’s 83 degrees and 50 degrees. To find the remaining angle subtract the two angles from 180.

180 - 83 - 50 = 47.

Answer:

47 degrees

Step-by-step explanation:

The total angles of a triangle always equals 180. Therefore, just add the two angles together then subtract by 180 to get your answer:

180-83+50=47

express -121 in simplest form

Answers

Answer:

An expression is in simplest form when no terms can be combined. To express 3 + (2 × 5) in simplest form: First: perform the operation within parantheses. Next: perform the addition. thank me later

I need help with my math homework
2/3x+17≥29

Answers

Answer:

x ≥ 18

Step-by-step explanation:

Given the inequality statement, 2/3x + 17 ≥ 29,

Subtract both sides by 17:

2/3x + 17 - 17 ≥ 29 - 17

2/3x  ≥ 12

Multiply both sides by 3/2 to isolate x:

[tex](\frac{3}{2}) \frac{2}{3}x \geq 12 (\frac{3}{2})[/tex]

x ≥ 18

Find the domain:

(2x^2-2)/ x

Answers

Answer:

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

Answer:

Answer attached in the image

A reason improper use of netiquette can be risky is that users can

O become vulnerable to online harassment.
O access inappropriate websites.
O have their private information stolen.
O receive unwanted spam.

Answers

The answer is A, Sorry I am late but for the future people i hope this helps them :))

- Have a nice day.

The improper use of netiquette can be risky as the user can become vulnerable to online harassment.

What is cybersecurity?

Protecting the online data from the digital attacks initiated by a hacker is called cybersecurity. Cybersecurity is necessary to protect the various systems, networks and programs that may contain some confidential information about any person.

Given is to identify the reason why the improper use of netiquette can be risky.

The improper use of netiquette can be risky as the user can become vulnerable to online harassment.

Therefore, the improper use of netiquette can be risky as the user can become vulnerable to online harassment.

To solve more questions on cybersecurity, visit the link-

https://brainly.com/question/27560386

#SPJ7

Marci and Levi add 113.5 + 22.41

If the whole numbers are added, the sum would be

Answers

Answer:

113 + 22 = 135

113.5 + 22.41 = 135.91

The answer would be 135.91

Step-by-step explanation:

Holly is displaying a postcard collection on a bulletin board that is 35 3/4 inches wide. Each postcard is 5 7/8 inches wide. Holly estimates that the number of postcards she can display in each row is 7. Is this the best estimate Explain

100 POINTS AND BRAINLIEST

Answers

Answer:

Yes.

Step-by-step explanation:

By looking at the numbers of 35 3/4 inches and 5 7/8 inches, you already know that 35 ÷ 5 is 7. Holly might need extra space in between the postcards, which is perfect since she has the leftover fractions, that equal more than 1.

-kiniwih426

Length of board=35 3/4=143/4in

Length of postcard=5 7/8=47/8in

Total postcards

. [tex]\\ \sf\longmapsto \dfrac{143}{8}\div \dfrac{47}{8}[/tex]

[tex]\\ \sf\longmapsto \dfrac{143}{8}\times \dfrac{8}{47}[/tex]

[tex]\\ \sf\longmapsto \dfrac{143}{47}[/tex]

[tex]\\ \sf\longmapsto 3(Approx)[/tex]

No not best estimated option

I have to do IXL and i don't know what to do please help me!

3^{-2} as a fraction

Answers

Answer:

1/9

Step-by-step explanation:

(fraction in simplest form)

Evaluate the infinite series:
[tex] \displaystyle \large{ \sum_{n = 1}^{ \infty} \frac{1}{(n + 1) \sqrt{n} + n \sqrt{n + 1} } }[/tex]
Please show your work too — thanks!​

Answers

9514 1404 393

Answer:

  sum = 1

Step-by-step explanation:

The method of partial sums has you look at sums of various numbers of terms of the series to see if there is a pattern that suggests either divergence or a limit. Here, the partial sums suggest the series sum is 1.

__

In the attachment, we have computed sums of 1 term, 10 terms, 100 terms, and so on up to 10^8 terms. These sums seem to approach the value 1.

Individual terms get small faster than for a harmonic series, which his known not to converge, but more slowly than a quadratic series. Large numbered terms are approximately proportional to n^-(3/2).

_____

You can actually compute the sum exactly, without reference to partial sums. Each term of the sum can be rewritten as ...

  [tex]\dfrac{1}{(n+1)\sqrt{n}+n\sqrt{n+1}}=\dfrac{1}{\sqrt{n(n+1)}(\sqrt{n+1}+\sqrt{n})}\\\\=\dfrac{\sqrt{n+1}-\sqrt{n}}{\sqrt{n(n+1)}}=\dfrac{1}{\sqrt{n}}-\dfrac{1}{\sqrt{n+1}}[/tex]

Then successive terms will cancel the intermediate fractions. So, for example, the sum of the first 3 terms is ...

  (1/√1 -1/√2) +(1/√2 -1/√3) +(1/√3 -1/√4) = 1 -1/√4

This means the given sum will evaluate to ...

  1 -1/√∞ = 1 -0 = 1 . . . sum of the infinite series

what is the distance from "-15" to 15 ?

15 , 0, -0 , 30

Answers

Answer:

the distance would be 30.

Answer:

30

Step-by-step explanation:

-15 to 0 is 15

0 to 15 is another 15

15+15 = 30

absolute value*

The perimeter of this rectangle si __________ units

Answers

The answer for this question is 14

L + B (x2) = 7+2 (x2)

9 x 2 = 18 (si units can be cm, m..?)

Solve the problem.  If there are 2.54 centimeters in 1 inch, how long in inches is a meter stick?

Hint: There are 100 centimeters in 1 meter. Round your answer to the nearest hundredth.​

Answers

Answer:

39.37 inches in a meter stick

Step-by-step explanation:

Set up a proportional ratio: inch/cm = inch/cm

1/2.54 = ?/100                        

2.54 · ? = 100

? = 100/2.54  

? = 39.37 inches    

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