Please help me!!!!!

Question: Kara and Steven are biking around a 1,800 kilometer path. They start biking from the same place, at the same time, and in the same direction. Kara bikes at a speed of 15 km/h and Steven bikes at a speed of 30 km/h. How long will it take before Steven and Kara will be at the same place of the path next time?

Answers

Answer 1

Answer: 120 hours

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

Explanation:

The path is 1800 km. Kara's speed is 15 km/h. If this speed is held the same throughout the path, then it will take her d/r = 1800/15 = 120 hours to travel the entire path until she gets back to her starting point.

For Steven, it takes him d/r = 1800/30 = 60 hours to make the same journey.

The LCM of 60 and 120 is 120

Every 120 hours, both Kara and Steven will be back at the starting point together.

Note: this is a very very large time value, and this is not considering the fact that the bikers slow down or stop to take a break.

Related Questions

Jennie says the experimental probability that a 7th grade student reads at least 100 pages per week is 16/125. What is her error and the correct experimental probability?

HERE IS THE CHART

| pages | 6th | 7th | 8th| {Grades}

| 75 pages | 24 | 18 | 22 |

| 100 pages | 22 | 32 | 24 |

| 150 pages | 30 | 53 | 25 |

Answers

The correct probability is 85/103. Her errors were that she only took the number of 7th grade students that read 100 pages per week; she did not include the number of students that read more than that, and she wrote the denominator of the probability as the number of pages read instead of the total number of seventh grade students.

32 seventh grade students read 100 pages per week. 53 students read 150 pages per week. This is out of 18+32+53=103 seventh grade students. This gives us 32+53=85/103.

Jennie incorrectly calculated the experimental probability of a 7th grader reading at least 100 pages per week. The correct calculation is the sum of 7th graders who read 100 and 150 pages, divided by the total number of 7th graders, resulting in an experimental probability of 85/103.

Jennie's error lies in calculating the experimental probability that a 7th grade student reads at least 100 pages per week incorrectly. To find the correct experimental probability, we need to add the number of 7th graders reading 100 pages and those reading 150 pages, then divide by the total number of 7th graders. According to the chart, 32 read 100 pages and 53 read 150 pages. The total number of 7th graders is the sum of students reading 75, 100, and 150 pages, which is 18 + 32 + 53 = 103. So, the correct experimental probability is (32 + 53) / 103 = 85 / 103.

how many solutions does this system of equations have?
y= -3x + 7
y= -3x -6

choices
a. infinitely many
b. 2
c. 1
d. 0

Answers

The first step for solving this expression is to know that since both of the expression are equal to y,, we must set them each to each other to form an equation in x. This will look like the following:
-3x + 7 = -3x - 6
Now cancel equal terms on both sides of the equation.
7 = -6
This tells us that the statement is false for any value of x and y,, so our answer is (x,y) ∈ ∅,, or no solution (option D).
Let me know if you have any further questions.
:)

PLEASE HELP ASAP!
A probability close to _ indicates a chance event is most likely to occur.
A. 0
B. 1
C. 5
D. 10
E. 1000

Answers

The answer is E-1000

B. 1
The probability of any event cannot be greater than 1.

The mean of 4 numbers is 22. What would the new mean be if the number 18 is added to the data set?
A. 17.2
B. 40
C. 21.2
D. 26.5

Answers

The new mean would be C: 21.2

How do you find the mean? You add the numbers up and divide by the amount in the set. So, we have to go backwards. Since we divided, we need to multiply 4 by 22. You get 88. Now add that new number of 18 to 88 to get 106. Now there are 5 numbers in the set so you divide 106 by 5 to get 21.2. So the answer is C. 21.2! Hope this helps!

for the diagram below which equation is the correct use of the distance formula

the last one D is
D= √(11-6)^2 + (5-y2)^2

Answers

the Answer is A, verified apex

Answer: The correct equation is,

[tex]6.71=\sqrt{ (11-5)^2+(y_2-6)^2}[/tex]

Step-by-step explanation:

If [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the endpoints of a line segment,

Then by the distance formula,

The length of the line segment is,

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Here, (5,6) and (11, [tex]y_2[/tex] ) are the endpoint of the line segment which has the length 6.71,

Thus, d = 6.71, [tex]x_1=5[/tex] [tex]y_1=6[/tex], [tex]x_2=11[/tex]

[tex]\implies 6.71 = \sqrt{ (11-5)^2+(y_2-6)^2[/tex]

Which is the required equation.

What best describes the expression y over 3?

A. 3 more than some number
B. Some number times 3
C. Some number divided by 3
D. 3 less than some number

Answers

the y represents "some number," so in this case some number divided by three is the right answer

the correct answer is, some divided by 3

Realy Need this Right away

Answers

I think it will be D.

(not super positive)

Tell me if i'm right or wrong plz!!!

Hope this helped!

:)

hey,
the answer is C
i hope that helped

What is the m∠ACB? 10° 50° 90° 180°

Answers

The total sum of angles in a triangle is 180, thus the value of ∠ACB will be obtained as follows:
Given that the triangle is a right triangle, the sum of angles will be:
(4x)°+(7x-20)°+90=180
simplifying and solving for x we get:
4x+7x-20+90=180
11x=180+20-90
11x=110
dividing both sides by 11 we get:
(11x)/11=110/11
this gives us
x=10°
Thus substituting the value of x in:
∠ACB=(7x-20)°
=(7*10-20)
=70-20
=50°

Answer: 50°

Answer:

50°

Step-by-step explanation:

90 + 4x+ 7x - 20(+20) = 180 + 20

4x + 7x = 200 - 90

4x + 7x = 110

11x/11 = 110/11

X = 10

m∠ACB = 7x - 20 = 7(10) - 20 = 50

Which answer describes the transformation of f(x)=x2−1 to g(x)=(x−1)2−1 ?

a vertical translation 1 unit up

a vertical translation 1 unit down

a horizontal translation 1 unit to the right

a horizontal translation 1 unit to the left

Answers

[tex]f(x)=a(x-h)^2+k\ \text{where (h; k) are coordinates of the vertex}[/tex]

[tex]f(x)=x^2-1\ \ \ vertex (0; -1)\\\\g(x)=(x-1)^2-1\ \ \ vertex(1;-1)[/tex]

Answer: a horizontal translation 1 unit right.

The radius of the earth's orbit is 45,000,000 meters. What is the number in scientific notation?

A) 4.5 x 10-7
B) 4.5 x 107
C) 45 x 10-6
D) 45 x 106

Answers

The answer is 4.5 × 10^7

I would say C because if u move the decimal to the right 7 places, you would get 45,000,000

How is the graph of y= 1/3x related to its parent function y=1/x

Answers

Vertical contraction: g (x) = k · f (x)
When you multiply the y coordinate of the original function f (x) by a constant k:
If 0 <k <1, the function contracts on the y axis
We have then:
y = k * (1 / x)
Where,
k = 1/3
y = (1/3) * (1 / x)
y = 1/3x
Answer:
the function contracts on the y axis

Which of the following numbers is between 0.40 and 0.47?
A) 7/50
B) 19/50
C) 21/50
D) 43/50

Answers

C is the correct answer

it's equal to 0.42

good luck

21/50 = 0.42

0.42 is between 0.40 and 0.47

answer
C) 21/50

using the distributive property,which of the following expression is equivalent to 4(3+4y) 12+16y,12+4y,7+4y,7+8y

Answers

(4x3) + (4x4y) = 12 + 16y

The answer is 12 + 16y.
4(3+4y) = (4 x 3)+(4 x 4y) = 12 + 16y

Robin tosses two number cubes 100 times and get a pair of 3s 18 times. What is the probability that she will roll a pair of 3s on her next toss?

Answers

She tossed he dice 100 time and landed on 3s 18 so it would be:
-
18/100
Then you can reduce it to:
-
9/50
Or are a percent:
-
18%
-
So the probability of her rolling 3s would be 18%

I’m not sure this I’m so confused in algebra

Answers

|x+4| = 3x - 5

x + 4 = 3x - 5
2x = 9
x = 9/2

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

answer
x = 1/4
x = 9/2

two more than the product of a number and 8 is 5

Answers

When ever the problem says is, the next number after that is going to be the answer to the equation. So now you have =5.

Next it say two more which means adding so now we have, +2=5

Now we have the product of a number and 8. This means that the number and 8 equal the product. Now we know that an answer that is a product is a multiplication problem. That means that you have to multiply 8 and the number.

That leaves us with the answer, n•8+2=5

The unknown number is [tex]$ \frac{3}{8} $.[/tex]

Let's solve the problem step by step.

Given: Two more than the product of a number and 8 is 5.

Let's denote the unknown number as [tex]$ x $[/tex].

According to the problem, we can express the given condition in an equation:

[tex]\[8x + 2 = 5\][/tex]

To find the value of [tex]$ x $[/tex], we need to isolate it on one side of the equation. We'll begin by subtracting 2 from both sides to get rid of the constant term on the left side:

[tex]\[8x = 5 - 2\][/tex]

[tex]\[8x = 3\][/tex]

Now, to solve for [tex]$ x $[/tex], we'll divide both sides of the equation by 8:

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

So, the solution to the equation is [tex]$ x = \frac{3}{8} $.[/tex]

Now, let's provide a brief explanation:

The equation [tex]$8x + 2 = 5$[/tex] is formed based on the given problem statement. By subtracting 2 from both sides and then dividing by 8, we isolate the variable [tex]$ x $[/tex] to find its value, which is [tex]$ \frac{3}{8} $.[/tex]

Thus, the correct answer is:

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

Complete question:

Two more than the product of a number and 8 is 5

find by completing the square

Answers

[tex]y=ax^2+bx+c\\\\y=a(x-h)^2+k\ where\ h=\dfrac{-b}{2a};\ k=f(h)=\dfrac{-(b^2-4ac)}{4a}[tex]y=-3x^2+7x-5\\\\a=-3;\ b=7;\ c=-5\\\\h=\dfrac{-7}{2\cdot(-3)}=\dfrac{7}{6}\\\\k=\dfrac{-(7^2-4\cdot(-3)\cdot(-5)}{4\cdot(-3)}=\dfrac{-49+60}{-12}=-\dfrac{11}{12}\\\\y=-3\left(x-\dfrac{7}{6}\right)^2-\dfrac{11}{12}[/tex]

First, I would like to know what is means when someone asks you to find the Means-To-Mad Ratio. I do not know what a Means-To-Mad Ratio is.
Second, can someone please answer this problem?

1. {15, 16, 17, 17, 17, 17, 18, 19}
2. {12, 13, 13, 14, 14, 14, 16, 16}
Calculate the means-to-MAD ratio for the two number sentences above.
Thank you.

Answers

MAD = Mean Absolute Deviation.
so you need to calculate the mean ( average) and then calculate the MAD ratio

see attached picture for how to calculate the MAD:

Please help me! Show work thank you so much

Answers

A quadrilaterals angles = 360°

three angles are given, with the fourth as x: 90, 80, 74, x

Add all the angles together and set it equal to 360

90 + 80 + 74 + x = 360

Simplify. Combine like terms

x + 244 = 360

Isolate the x, subtract 244 from both sides

x + 244 (-244) = 360 (-244)

x = 360 - 244

x = 116

116° is your answer

hope this helps

a basketball court is a rectangle with a perimeter of 1040 feet. The length is 200 feet more than the width. What is the width and length of the basketball court?

Answers

if you do 1040-400 you get 640
then you need to divide that by 4 to get 160 leaving you with the width, to get the length you have to add 200 to the width meaning the length is 360

length = 360
width = 160

Length = width + 200

[tex]x + x + x + 200 + x + 200 = 1040 \\ 4x + 400 = 1040 \\ 4x = 640 \\ x = 160[/tex]
Length = 160 + 200 = 360 feet

Answer :
Width = 160 feet,
Length = 360 feet

Hope this helps. - M

A video game was $38. This weekend the game will be marked 13 percent off. How much is the game this weekend?

Answers

Discount = 13% x $38 = 0.13 x 38 = $4.94

Cost of the game after discount = $38 - $4.94 = $33.06

Answer: $33.06

Final answer:

The video game was originally $38. This weekend it is 13% off. After applying this discount, the game will cost $33.06.

Explanation:

The subject of your question lies in the realm of Mathematics, specifically focusing on a practical application: calculating a discount. In this case, the video game was originally $38 and this weekend, there is a discount of 13%. Since the discount is a percentage off of the original price, you need to multiply $38 by 13% (or 0.13, when presented as a decimal).This operation gives us: $38 * 0.13 = $4.94.This means the discount is $4.94. To find out how much the video game costs after the discount has been applied, you need to subtract this amount from the original price of the game. Therefore, the price of the game this weekend will be: $38 - $4.94 = $33.06.

Learn more about Calculating Discounts here:

https://brainly.com/question/32761587

#SPJ12

Which it true about modeling a solution to an addition problem on a vertical number line?

A. When adding a negative number, you move down

B. When adding a positive number, you move down

C. Locating the sum is not necessary.

D. Locating the sum is the first step

Answers

Part A is correct :)

Answer:

A. When adding a negative number, you move down

Step-by-step explanation:

Actually, according to transformation of functions, there's two types of transformation, those that only involve translation, and those that change the dimension of the function.

In this case, modelling a solution to an addition problem, we know that adding a negative number, the function will move downs, because in that case we will be transformation or "changing" the y-variable, that's why it will move vertically.

Therefore, the right answer is A.

Find the distance between -3 and 4.
A) -12
B) -7
C) -1
D) 7

Answers

The distance between -3 and 4 is D. positive 7. Since you are moving forward 7 places, the answer would be positive, However, if you were moving backwards, it would be -7.

I hope this helps.

Answer:

i just did it its positive 7

Step-by-step explanation:

Kelly has 236 feet of fence to use to enclose a rectangular space for her dog. She wants the width to be 23 feet. Draw a rectangle that could be the space for Kelly's dog. Label the length and the width.

Answers

perimeter = 236 ft

length=?

p= 2l+2w

236=2l+2(23)

236=2l+46

190=2l

l= 95ft

Final answer:

To create the space for Kelly's dog, a rectangle with a length of 118 feet and a width of 23 feet should be drawn.

Explanation:

To draw a rectangle that could be the space for Kelly's dog, we need to consider the given information. Kelly has 236 feet of fence to use, and she wants the width to be 23 feet.

Since the opposite sides of a rectangle are equal in length, we can divide the total amount of fence by 2 to determine the length of each side. 236 feet / 2 = 118 feet.

So, the rectangle that could be the space for Kelly's dog would have a length of 118 feet and a width of 23 feet.

Which is the graph of the function f(x) =1/2x^2-6

Answers

Well it is gonna be compressed inward and down 6 post the graph

Which set of numbers represents the lengths of the sides of a right triangle?

a. 5,10,15
b. 13,35,37
c. 9,40,41
d. 6,9,10

Answers

Using the Pythagorean theorem ~ a² + b² = c² ~, if this is true then the triangle is a right triangle.

a) 5² + 10² = 15²
25 + 100 = 225 *FALSE*

b) 13² + 35² = 37²
169 + 1225 = 1369 *FALSE*

c) 9² + 40² = 41²
81 + 1600 = 1681 *TRUE*

d) 6² + 9² = 10²
36 + 81 = 100 *FALSE*

The answer is C) 9, 40, 41.

C is the answer

as to fulfill the condition of right angle triangle , the sum of the squares of two sides should be equal to the square of third side

9²+40²= 1681

41² = 1681

Hope it helps !! :)

Brian wants to buy a motorcycle and is planning to get motorcycle insurance. Suppose the average accident rate is 0.1, and the average expenses incurred on accidents is $38,000. The insurance plan has a yearly premium of $1,000 and a deductible of $4,000.
If after 4 years of insuring 100 people, 9 motorcycle drivers had an accident, where does the company stand after money has been taken in and paid out for this group of 100 insured people?

$85,500
-$36,000
$94,000
$58,000

Answers

It's $94,000

1,000 X 100 X 4 = 400,000

Answer:

The correct option is $94,000

Step-by-step explanation:

Yearly premium under the insurance plan = $1,000

Total premium from single motorcycle driver in 4 years = $1,000 * 4 = $4,000

Number of people insured = 100

Total premium collected from 100 motorcycle drivers = $4,000 * 100 = $400,000

Average expenses incurred on accident = $38,000

Deductible = $4,000

Net expenses incurred per accident = $38,000 - $4,000 = $34,000

In 4 years , 9 motorcycle drivers had an accident

Total expenses incurred for accident = $34,000 * 9 = $306,000

Net savings of Insurance Company = total premium - total expenses = $400,000 - $306,000 = $94,000

Hope it helps.

Thank you !!

Are these two triangles similar? How can you tell?

Answers

Yes, they are similar.

The minimum requirement for similarity is that 2 angles in one triangle are equal to 2 angles in another triangle. If the triangles are congruent it is a pure accident.

which expression is equivalent to 2(-3x + 5)?

Answers

2(-3x + 5)
expand by using distributive property
= -6x + 10

answer
-6x + 10 is equivalent to 2(-3x + 5)

Answer:

10 - 6x

as 2 x 5= 10

and 2 x 3 = 6

therefore ans:

10 - 6x

Step-by-step explanation:

The table shows the sports interests of 75 students.

Sport

Football

Basketball

Swimming

Soccer

Cross Country

Number of Students

24

19

12

15

5

What is the probability that one student likes either swimming or soccer?

a. 0.36

c. 0.34

b. 0.27

d. 0.55

Answers

Answer:

A: 0.36

Step-by-step explanation:

Add all of the numbers up = 75

Add both swimming and soccer up = 27

divide 27 by 75 = 0.36

Other Questions

What feature would you expect to find in a population in which sexual selection depends on female choice? You have 40 g of a radioisotope. If the half-life of this radioisotope is 4 days, how many grams will remain after 12 days? The component structure of team sports such as rugby or volleyball, for instance, is accurately defined as: Jean's bedroom is 14 feet by 13 feet. She has chosen a carpet which costs $30.90 per square yard. This includes installation. Determine her cost to carpet her room. $ Which is an example of printing embedded in paper?Question 7 options:indented writingtrash markswatermarksspots Which expression is equivalent to 60x^20 y^24/30x^10 y^12 It is found that doubling the concentration of a quadruples the reaction rate and tripling the concentration of b triples the reaction rate. what is the overall order of the reaction? PLEASE HELPPP MEEEEAn unknown substance is cooled from 25 C to 10 C. The table below shows the state of the substance at different temperatures. Time (minutes) Temperature (degrees Celsius) State of matter 0 25 Liquid 2 23 Liquid 4 18 6 18 8 18 10 15 Solid 12 10 Solid Which statement is correct about the unknown substance? Its freezing point is 23 C. Its freezing point is 18 C. The substance sublimes at 23 C. The substance exists as a gas at 18 C. Which of these sentences is correctly written and punctuated? Keeping his active mind challenging Roosevelt improved his stamp collection, and read books on American history, politics, and biography. To keep his active mind challenging, Roosevelt improved his stamp collection, reading books on American history politics and biography. Keeping his active mind challenged Roosevelt improved his stamp collection reading books on American history, politics, and biography. To keep his active mind challenged, Roosevelt improved his stamp collection and read books on American history, politics, and biography. The local weather report states that the probability that it will snow today is 20% and the probability that it will snow tomorrow is 40%. Which of the following is a true statement? A. It is not very likely that it will snow both today and tomorrow. B. It is very likely that it will snow both today and tomorrow. C. It is impossible that it will snow both today and tomorrow. D. It is certain that it will snow both today and tomorrow. Most victims of sex trafficking and prostitution have been coerced into these ways of living.True False 2.Find the annual percentage rate, using the annual percentage rate table.Amount Financed: $8,900Finance Charge: $1,030.62Number of Payments: 24 Which of the following was a key cause of World War II? A. The dangerous and aggressive expansion of totalitarian nations B. The assassination of Archduke Franz Ferdinand by Serbian nationalists C. The Soviet Unions efforts to spread communism around the world D. The establishment of alliances between Japan, Russia, and Great Britain how do I find the area of this shape A student measured the pH of four solutions. Which pH indicates the highest hydronium ion concentration? 3.2 7.0 9.1 12.4 What is the practice of awarding government jobs to political supporters? 1. ______________ is process that you can do over and over, where each result does not affect the next.Ex. Flipping a coin, rolling dice, choosing a card, etc. Why Did the use of money help trade to grow According to rudolf gaudio's research with 'yan daudu, why does the nigerian government consider homosexuality not "authentically african"? "Its only fair, Maritza told her friend Avery as they sat in their empty classroom after school. "The first person to do a famous thing should get the most credit for it. I mean, how much do you hear about the second person to fly an airplane over the Atlantic Ocean? Or the second guy who landed on the moon? To draw a conclusion about Maritzas character based on this excerpt, what is the best question for the reader to ask? Who is she? What does she do? Where is she? What does she say?