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 2.5 cm/sec, and increased travel time by 15 minutes. What is the distance between point A and point B?

Answers

Answer 1

Using the speed - time relation, the distance between point A and B is 6000 cm

Recall :

Distance = speed × time Time = distance / speed

Let ; the time taken = t ; distance = d

To trip :

d = 4t ----(1)

Fro trip :

t is in seconds ; 15 minutes = (15×60) = 900 seconds

d = 2.5(t + 900)

d = 2.5t + 2250 - - - - - (2)

Equating (1) and (2)

4t = 2.5t + 2250

Collect like terms

4t - 2.5t = 2250

1.5t = 2250

t = 2250 / 1.5

t = 1500 seconds

Hence, distance = 4(t) = 4(1500) = 6000 cm

Therefore, the distance between the points is 6000 cm

Learn more : https://brainly.com/question/25203683


Related Questions

Vickie was born on this day in 1981. Including leap years, how many seconds old is Vickie?

Answers

Answer:

Vickie is about 1,256,428,800 seconds old.

Step-by-step explanation:

1 year = about 31,536,000 seconds

2021 - 1981 = 40

39 × 31,536,000 = 1,229,904,000 (total 365-day years in seconds discluding this year)

____________________________________________

Now, add the leap days.

Since 1981, there has been 10 leap years, meaning 10 leap days.

1 leap day = about 86,400 seconds

86,400 × 10 = 864,000 (total leap day seconds)

____________________________________________

Today is 10/24/2021, so it is the 297th day of the year.

1 day = exactly 86,400 seconds

297 × 86,400 = 25,660,800 (total seconds this year)

____________________________________________

Add all values to get the total amount of seconds.

1,229,904,000 + 864,000 + 25,660,800 = 1,256,428,800 (total seconds of how old is Vickie)

Your bedroom is 20 feet long by 12 feet wide. You are make a scale drawing of you bedroom with the scale 1⁄2 inch = 4 feet, what would the dimensions be?

Answers

Divide actual feet by scaled feet then multiply by scale inches:

20 feet / 4 = 5

5 x 1/2 = 2 1/2

12 feet / 4 = 3

3 x 1/2 = 1 1/2

Dimensions are 2 1/2 inches by 1 1/2 inches

HELP PLEASE solve for d

Answers

d= 1- 4bh

Step-by-step explanation:

- 8b = 2d - 2/h

Multiply both sides of the equation by h.

- 8bh = 2d - 2

Swap sides so that all variable terms are on the left-hand side.

2d - 2 = - 8bh

Add 2 to both sides.

2d = - 8bh + 2

The equation is in standard form.

2d = 2 - 8bh

Divide both sides by 2.

2d/2 = 2 - 8bh/2

Dividing by 2 undoes the multiplication by 2.

d = 2 - 8bh/2

Divide -8bh + 2 by 2.

Therefore: d = 1 - 4bh

In each triangle below, name the type of line segment that CD is.

Answers

there is no picture?

how do you find common multiples and factors explain

Answers

Answer:

We can find the common multiples of two or more numbers by listing the multiples of each number and then finding their common multiples. For example, to find the common multiples of 3 and 4, we list their multiples and then find their common multiples. Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, ...

Explain why the triangle are similar. Then find the distance represented by x

Answers

Answer:

I think its the rule RHS or SAS that indicates that x is 180ft (scale factor of 1.5)

Step-by-step explanation:

first do 135/90 to find the scale factor of 1.5

then to find x, multiply 120 by the scale factor.

Find the area and perimeter of
the parallelogram:
17ft
12ft
15ft

Answers

Step-by-step explanation:

The area = base × height

= 12 × 17 = 204

the perimeter = 2(17 + 15) = 2 × 32 = 64

please give me a brainliest answer

A group of people were asked if they had run a red light in the last year. 385 responded "yes", and 472 responded "no".

Find the probability that if a person is chosen at random, they have run a red light in the last year.

Give your answer as a fraction or decimal accurate to at least 3 decimal places

hurry plssssss

Answers

Answer:

44.9%

Step-by-step explanation:

you can find the probability by dividing the total number of people by the number of people who have run a red light:

385/857

simplify into a decimal:

0.449

convert into a percent to get your answer:

44.9%

Relationship B has a greater rate than Relationship A. This graph represents Relationship A.


Which equations could represent Relationship B?


Select each correct answer.



y = 0.6x


y=23x


y=14x


y=34x

First-quadrant graph showing a ray from the origin through the points begin ordered pair 4 comma 2 end ordered pair and begin ordered pair 8 comma 4 end ordered pair.

Answers

Answer:

y = 0.6x

Step-by-step explanation:

Look what happens as we move from point (4, 2) to point (8, 4).  The x coordinate increases by 4 and the y coordinate by 2.  Thus, the slope of the line representing Relationship A is m = rise / run = 2/4, or 0.5.

The only one of the four possible answers that could be correct is y = 0.6x, which has a greater rate (slope) than does the given line (m = 0.5).

Answer: 0.6

2/3

3/4

I took the test and got those as my answer. Btw here's the image for proof :)

An airplane travels 2248 miles in 4 hours.
At this rate, how far could the airplane fly in 13 hours?
O 6656 miles
O 6981 miles
0 7306 miles
O I don't know.

Answers

Answer: the answer is 7306 miles in 13 hours

Step-by-step explanation: I just divided 2248 by 4 which is 562 then multiplied it by 13 which made it 7306. I took the quiz and got 100% hope this helps!

this is just so dum why do they make the app if nobody is going to help me and other some people have to post the same question 5 times even more if they have their people in need that need help and they come on brainly so they can get help even I do but yall dont care yall answer that yall want to answer thats not fair

Answers

What question do you need help with

Jack’s recipe calls for One-half teaspoon of baking powder. He cannot find the One-half teaspoon measuring spoon. Instead, Jack uses the One-eighth teaspoon measuring spoon to add Three-eighths teaspoon of baking powder. Which statement is true? Jack should stop adding baking powder because One-eighth equals . Jack should add more baking powder because Three-eighths is less than One-half. Jack should add more baking powder because Five-eighths is less than One-half. Jack has added too much baking powder because is greater than .

Answers

Answer:

Jack should add more

Step-by-step explanation:

Because four eighth is half

And he only added 3/8

So when he adds 1/8 more the sum becomes 4/8

4/8=1/2

what is perfect cube​

Answers

Answer:

The perfect cube is the result of multiplying the same integer three times. Multiplying the number 4 three times, for example, yields 64. As a result, the number 64 is a perfect cube. Perfect cube = number x number x number.

Step-by-step explanation:

Perfect cube numbers can be obtained by multiplying every number thrice by itself. For example, 1 × 1 × 1 = 1 and 2 × 2 × 2 = 8 and so on. The list of perfect cubes from 1 to 10 is as follows: 1, 8, 27, 64, 125, 216, 343, 512, 729, and 1000.

If the second quantity in a rate is not 1, how do you find the unit rate?

Answers

Answer:

If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

WILL GIVE BRAINLIEST. a. determine a rule for the table B. complete the table. for input for 4 and n.

Answers

Answer:

WHAT TYPE OF MATH LIKE WHAT LESSON

Step-by-step explanation:

I’m completely confused on this, but I’ll take a guess

|-The output for 4 is 10
|-the output for the three dots is 13
|-the output for N is 16

If you look at the output for the previous numbers, 1, 4, and 7- you notice that 1+3=4 and 4+3=7, assuming this may be a rule, you can add 3 to 7 which gets you 10, continuing on 10+3=13 and 13+3=16. Next for the input try to see what the input and output have in common. 1 and 1, 2 and 4 and 3 and 7. 1+0=1 2+2=4 3+3=6(+1) =7 4+4=8 (+2)=10 (continue this for the three dots) 5+5=10 (+3)=13. Because of this the input for the three dots would be 5. For N, it would be 6+6=12(+4)=16, so the input for N would be 6.

(Once again I’m not completely sure how this works, and it may be a lot more complex than this (I’m so so so so so sorry if it’s wrong )

Find f(x) if it is known that f(x-2)=2x-4

Answers

Answer:

f=2

Step-by-step explanation:

f(x-2)=2x-4

divide x-2 to 2x-4

f=2

f(2-2)=4-4

Mike´s fitness center charges $30 per month for a membership. All-Day fitness club charges $22 per month plus an $80 initiation fee for a membership. After how many months will the total amount paid to the two fitness clubs be the same?

Answers

Answer:

10 months

Step-by-step explanation:

30x=22x+80

8x=80

x=10

Factor the Trinomial 6x^2 -23x +20
(And please show the work/steps.)

Answers

Step-by-step explanation:

6x²-23x+20

=>6x²-8x-15x+20

=>2x(3x-4)-5(3x-4)

=>(3x-4)(2x-5)

hope this helps you.

Step-by-step explanation:

the answer is in the image above

corrine has 9.6 pounds of trail mix to divide into 12 bags. how many pounds of trail mix will go in each?

Answers

Answer:

0.8 pounds

Step-by-step explanation:

Divide 9.6 pounds by 12 bags = 0.8 pound per bag

Answer:

0.8 lbs per bag

Step-by-step explanation:

9.6 / 12 = 0.8

Answer: 0.8

What is..Simplify 15.8

Answers

Answer:

simplify of 15.8 is 16

Step-by-step explanation:

please mark me as brainliest

Answer:

15 4/5

Step-by-step explanation:

which is the correct simplification:
giving brainliest

Answers

Answer:

The answer is letter E.........

Answer:

Step-by-step explanation:

I forgot how to do this. Please help!

Answers

Answer:

It's just a line with a slope of 0 at y= -5

Best answer gets brainliest!

Whats the question to my answer?

Answer: pickle

Whats the question?
(u can make up what the question is theres no real answer)

Answers

Answer:

If I give you a nickel, what am I wanting you to tickle? my ____

Step-by-step explanation:

Can someone pls help meee

Answers

>> Answer

_________

[tex] \: [/tex]

[tex] \triangle \sf \: abc = \triangle \sf \: xyz[/tex]

Soo :

Ab = Xy Bc = Yz Ca = Zx

Triangle in the picture.

Solve the following quadratic equation.
d²-5d+6=0

Answers

Answer:

[tex]d=2[/tex] and [tex]d=3[/tex]

Step-by-step explanation:

[tex]d^2-5d+6=0[/tex]

[tex](d-2)(d-3)=0[/tex]

[tex]d=2[/tex] and [tex]d=3[/tex]

answers: d=2 and d=3

Explain how you can use mental math to
calculate 2^8.

Answers

Answer:

think about what 2 times 8 equals

Step-by-step explanation:

10. If you can travel 97 miles in 30 minutes, how many mileScan you
travel at the same rate in 8 hours?

Answers

Answer: 1,552
Explanation: you want to set up a proportion

Ex:

97 X
—- x —
30. 480

The way I got 480 was I converted 8 hours into minutes because you want the same value of measurement.

After this, just cross multiply and you get the equation

46560 = 30mile

Then just isolate the miles (because you are trying to solve for 1 mile

Miles = 1,552
1,552

30 minutes is half of an hour so first you need to multiple 8•2 then you multiple 97 by what 8•2 is (16) that gets you 1552

brian split 5/6 pounds of candy among 3 people what is the unit rate

Answers

Answer:

5/18

Step-by-step explanation:

Divide the total by number of people to find the unit rate:

5/6 : 3 = 5/18 pounds  per person

Answer:

[tex]\sf\longmapsto \frac{5}{18}pounds \:per\: person [/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: \frac{5}{6} : 3[/tex]

[tex]\sf\longmapsto \frac{5}{18} pounds \:per\: person [/tex]


A,B & C form a triangle where BAC = 90°
AB = 11.9 mm and CA = 2.7 mm.
Find the length of BC, giving your answer rounded to 1 DP

Answers

Answer:

12.2

Step-by-step explanation:

BC = √ABsq + √CAsq

BC = √11.9sq + √2.7sq

BC = √141.6 + √7.3

BC = √148.9

BC =  12.2

Write an equivalent expression for 6(3g + 2) - 2g. Simplify the expression.

Answers

Answer:

16g + 12

Step-by-step explanation:

6(3g + 2) - 2g

18g + 12 - 2g

16g + 12

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