I climb half the steps in a staircase. Next, I climb one-third of the remaining steps. Then I climb one-eight of the rest and stop to catch my breath. What is the least possible number of steps in the staircase?

Answers

Answer 1

Given parameters:

   First sets of staircase  = [tex]\frac{1}{2}[/tex]

   Next sets  = [tex]\frac{1}{3}[/tex]

    Third sets  = [tex]\frac{1}{8}[/tex]

Unknown:

The least possible number of steps =?

Solution:

The least possible number of steps will be the lowest common multiples of these sets of steps.

We want fractions that will give whole numbers because realistically, one cannot take half a step of a step.

 So, the number of steps must be a multiple of denominators of the fractions given.

   Denominators are 2 , 3 and 8

     Their least common multiple is 24;

    This the lowest number by which 2, 3 and 8 can all divide.

So, the least number is 24 steps


Related Questions

Ruben bought 666 comic books for \$21$21dollar sign, 21. Each comic book was the same price.
what was the cost for 1 comic book

Answers

9514 1404 393

Answer:

  $3.50

Step-by-step explanation:

If c represents the cost of one comic book, the transaction can be written as the equation ...

  6c = $21

Dividing by 6, we get ...

  c = $21/6 = $3.50

The cost for 1 comic book was $3.50.

_____

You know that the total cost of a transaction is the sum of the costs of each part. When all the parts have the same value, we can multiply the cost of one part by the number of parts.

Answer:

3.50

Step-by-step explanation:

Need answer I don’t have much time

Answers

D

Hope this helped :)

20=5x-13=6x what is x equaled to
HELP ASAP

Answers

20=5x-13+6x

We move all terms to the left:

20-(5x-13+6x)=0

We add all the numbers together, and all the variables

-(11x-13)+20=0

We get rid of parentheses

-11x+13+20=0

We add all the numbers together, and all the variables

-11x+33=0

We move all terms containing x to the left, all other terms to the right

-11x=-33

x=-33/-11

x= 3

Answer:

3

Step-by-step explanation:

First, write the equation.

20=5x-13+6x  Combine like terms on the right side.

20=11x-13       Add 13 on both sides.

+13     +13

33=11x             Divide both sides by 11.

/11  /11

3=x

Hope this helps!! Have a wonderful day :3

I need help with this question?
Directions:Write the equation of each line. Explain what the slope and y-intercept represents in the context of each graph.

Answers

the y intercept is where the line passes through the y axis so y=0
we are gone find 2 points on the graph so i would use (10,30) (20,60)
m=y2-y1/x2-x1
60-30/20-10
30/10
m=3
slope = 3
equation is y=3x

What is the sum of (3/8x-2) +(1/8x-5)

Answers

Answer:

1/2x-7

Step-by-step explanation:

Add 3/8x and 1/8x to get 4/8x which is the same as 1/2x

Then add the integers: -2 + -5 = -7

Amy and Stephanie were playing a number game. Amy picked a number and told Stephanie that if she added 9 to the number and multiplied the sum by 2, it would equal 8. Which equation could Stephanie use to find the number, x?

Answers

Answer:

4 (x + 7) = 8

Step-by-step explanation:

4 (x + 7) = 8 Because you add 7 to Amy's number  then multiplied by 4 which equals 8

What number does the calculator display represent?

Answers

Answer:

C

Step-by-step explanation:

Simplify.

2(m + 11)

2m + 11
2m + 22
24m
22m

Answers

Answer:

b 2m + 22

Step-by-step explanation:

m times 2 is 2m and 11 times 2 is 22

Answer:

2m + 22

Step-by-step explanation:

Step 1: Write expression

2(m + 11)

Step 2: Distribute (Distributive Property)

2m + 22

We simply distribute 2 to each term in the parenthesis.

on october 14, bob has $20
on october 20, bob has $80

if bob continues to save money at this rate, how much money will he have on october 23?

Answers

i think it would be $120

She charges an initial fee of $10 for each
rental and an hourly rate of $4. Which of
the equations below shows the amount
y that Rashida charges for a bike rental
that lasts x hours?

A. y=10+4x
B. y=10+4x
C. y=4+10x
D.y=4+10x

Answers

Answer:

A

Step-by-step explanation:

Because the 10 is bigger then the 4 so when you do the math (y) will equal the answer of A which its  14

Answer:

The answer is y=10+4x

Step-by-step explanation:

so because x is represented by hours you dont know how many hours someone rents the bike so x and ten dollars is a set amount so it would stand alone.

Solve the equation. Show all Work. (4 points)
73 + 3(-x + 6)=42
1 pt. for correct answer. 3 point for all correct work shown. Remember to make sure
you show what operation you perform to both sides of the equation for every step.

Answers

Answer:

6

Step-by-step explanation:

7x + 3(-x + 6) = 42

use distributive property

7x + -3x + 18 = 42

positive + negative = negative

7x - 3x + 18 = 42

combine like terms

4x + 18 = 42

subtract 18 from both sides

4x + 18 - 18 = 42 - 18

18 is canceled out on the left side

4x + 0 = 24

4x = 24

divide both sides by 4

4x ÷ 4 = 24 ÷ 4

1x = 6

x = 6

The 9th grade class at Georgia high School wanted to go on a field trip to a soda factory. The trip will cost $100. The students decided to write a class newspaper and sell it to the kids at their school. Each of the 20 students will be given a 16-inch square for his/her article in the newspaper. How many pages long will the newspaper be if they used paper that was 8 ½ x 11 inches?

Answers

Answer:

2 Pages Long

Step-by-step explanation:




It’s 3828287372 soooo it’s not the answer it’s tho 188472828478282747

Show an example of a multi-step equation with an answer of 0.​

Answers

Step-by-step explanation:

50-10 x 2-40-30 x 6-60=0

Hehe sooo I kinda need help bakugo won't help me..

Answers

Answer:

-8/3 or -2 2/3

Step-by-step explanation:

You would change 4 to 4/1 and then set up the equation

4/1 x -2/3

4x-2=-8

1x3=3

you would then get -8/3 which is then turned into -2  2/3

(sorry i love multiplying and dividing fractions lol)

Answer:

SHI.TTY HAIR YOU DONT NEED HELP YOUR SMARTER THAN DENKIII

Step-by-step explanation:

Please help me with this. Will give brainliest to the best answer. Image attached

Answers

Answer:

1: x= 10

Step-by-step explanation:

I only know the first one, sorry, but if its any help then for #2: x= 8

help, please !!!!!!!!

Answers

Answer:

The answer is 24

Step-by-step explanation:

7^2 + b^2 = 25^2

49 + b^2 = 625

b^2 = 576

b = 24

*
3. Solve for x
Please need help ASAP

Answers

The answer is 22, good luck on you work

Audrey charges a flat fee of $4 for each delivery plus a certain amount, in dollars per mile, for each mile she drives. For a distance of 30 miles, Curtis and Audrey charge the same amount. How much does Audrey charge, in dollars per mile? Show your work

Answers

This is what I found online that shows work

Jerome hiked three-fourths of a mile in two-thirds of an hour. What was his hiking speed in miles per hour?

Answers

3/4 / 2/3 is 9/8 which is 1 1/8. When you did ode fractions you use “KFC” Keep the first fraction the same you Flip the sign from divide to multiply and you change the last fraction by flipping the numerators and denominators around

The value of his hiking speed in miles per hour will be;

⇒ Speed = 9/16 miles per hour

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Jerome hiked 3/4 of a mile in 2/3 of an hour.

Now,

Since, Jerome hiked 3/4 of a mile in 2/3 of an hour.

Hence, We can formulate;

⇒ Speed = Distance / Time

⇒ Speed = 3/4 / 2/3

⇒ Speed = 3×3 / 4×4

⇒ Speed = 9/16 miles per hour

Thus, The value of his hiking speed in miles per hour will be;

⇒ Speed = 9/16 miles per hour

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Mr. West estimated a mass to be 265g, but upon carefully measuring it, found the actual mass to be 240g. What was the percent error?

Answers

Answer:

The answer is 10.42 %

Step-by-step explanation:

The percentage error of a certain measurement can be found by using the formula

[tex]P(\%) = \frac{error}{actual \: \: number} \times 100\% \\ [/tex]

From the question

actual mass = 240 g

error = 265 - 240 = 25

So we have

[tex]p(\%) = \frac{25}{240} \times 100 \\ = 10.41666666...[/tex]

We have the final answer as

10.42 %

Hope this helps you

if the midpoint is located at (6,-2) and one endpoint is at (1,7), what is the coordinates of the other endpoint?

Answers

Answer:

(11, -11)

Step-by-step explanation:

The coordinates of the midpoint are the average of the endpoint coordinates.

6 = (x + 1) / 2

x = 11

-2 = (y + 7) / 2

y = -11

how do I do this homework???​

Answers

Step-by-step explanation:

a)

135

/ \

3. 45

/ \

3. 15

/ \

3. 5

b)

250

/ \

10 .25

/\ / \

2 5. 5 5

c)

351

/ \

3. 117

/ \

3. 39

/ \

3. 13

Hope it helps :)

John has a square room with the area of 121 what is the side length of the room

Answers

Answer: 11

Step-by-step explanation:

11x11=121

Which equations are true for x = -2 and x = 2? Select two options
x2 - 4 = 0
x2 = 4
3x2 + 12 = 0
4x2 = 16
O2(x - 2)2 = 0

Answers

Answer:

A, D

Step-by-step explanation:

EDGE 2021

what is 2⁵ evaluation

Answers

2*2*2*2*2 which is equal to 32

is this a function if is not tell why

Answers

Answer:

yes

Step-by-step explanation: all inputs go to one output but they do not go over more than once that is why

YES it is!!! :)) hopefully that helps

I jus need help on the ounces

Answers

Answer:

4 pounds = 64 ounces and 5 pounds = 80 ounces

Step-by-step explanation:

One pound is 16 ounces

So pound to ounces you multiply by 16

Thus:

4 * 16 = 64

5 * 16= 80

HOPE IT HELPED

Answer:

64, 80

Step-by-step explanation:

you would just multiply by 16 since 16oz = 1lb

Jasmine has just started high school she finds that she is struggling to manage her time and complete all of her assignments how could she use communication to help her learn to manage her time

Answers

She could ask her counselor or her parents to help her set up a schedule and allow a certain amount of time for each assignment to be completed

3.305 + 1.7 what's the sum? Also more questions are coming just doing a test

Answers

  3.305

 +1.7

  5.005

Line up the decimal points and add like you usually would add.

5.005 is the answer.

After changing its format, a radio station lost 34% of its listeners. If there were an estimated 83.000 listeners originally, how many listeners does the radio
station have now?

Answers

Answer: 54

Step-by-step explanation: 1.00-34 is 0.66 and multiply that by 83 gives you 54.78 but you can't have 78 of a person so you round down

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