Melanie has pieces of train track that are 8 inches long that she is connecting together to form a track that her train can travel on. Martin is also trying to construct a track for his train but is using track pieces that are 20 inches long. How long will the shortest track be if the track that Melanie builds ends up being the same length as Martin's track?

Answers

Answer 1

Answer:

40 inches long

Step-by-step explanation:

In order to find the shortest possible track that they can both have but still be equal in length, we need to find the least common multiple of their train track pieces. In order to do so, we simply write out the multiplication table of each of their pieces' length until we find a common number, like so

8*1 = 8                  20*1 = 20

8*2 = 16                20*2 = 40

8*3 = 24

8*4 = 32

8*5 = 40

Now we have found the first common multiple which is a value of 40 meaning that the shortest train track that they can build with the same length would be a track that is 40 inches long


Related Questions

What is the simplified form of the following expression?

13[6^2 ÷ (5^2 – 4^2) + 9]

i have messed up the typing on this so many times.

Answers

Answer:

169 is the answer.

Step-by-step explanation:

I used a calculator.

5 – 2 (x - 2) = –2 (x + 1) + 11

show me how to do it

Answers

Answer:

All real numbers

Step-by-step explanation:

Use distributive property

5 - 2(x - 2) = -2(x + 1) + 11

5 - 2x + 4 = -2x - 2 + 11

Add like terms

9 - 2x = -2x + 9

9 = 9

All real numbers

Which property is illustrated by the following statement?
5g + 7 = 7 +5g
O A. Commutative Property of Multiplication
OB. Inverse Property of Multiplication
O
C. Commutative Property of Addition
D. Associative Property of Addition

Answers

C
Because the order of addends doesn’t change the answer or sum

Mrs. Salome charged php. 3,655.00 worth of groceries on her credit card. The balance of her credit card after she made a payment is Php 2450.00.​

Answers

I don’t know what the question is? If you’re looking for the amount she paid, the answer is Php 1,205.00.


Php 3,655.00
- 2,450.00
—————————
Php 1, 205.00

Which numbers are rational?
12
81, 50, -12, 0,
5
6.54

Answers

Answer:

All are rational

Step-by-step explanation:

A rational number is a number that can be written as a fraction.

I think the answer is -12

One factor of a polynomial p(x) is (x + 7).
What is the numerical value of p(-7)?
Dene-
My Progress

Answers

p(x) = (x + 7)
p(-7) = -7 + 7
p(-7) = 0

The required value of function p(x) at x = -7, p(-7) is zero.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
As given that one factor of a polynomial p(x) is (x + 7).,
Since factor x, + 7 also represents one of the zeros of a polynomial function p(x).

So, when one put the value x = -7 in the function, the function gives zero in the outcome.

Thus, the required value of function p(x) at x = -7, p(-7) is zero.

Learn more about function here:

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#SPJ2

ktydckylgftcvyigcirk

Answers

Answer:

hhhhhhjjjjjuuuuhnjjk


What is this answer ?

Answers

Answer:

One possible answer is 25/4

Answer:

x > 84

Step-by-step explanation:

Multiply each side by 4 to cancel out the 4 under x. It should now look like this: x > 84

I hope this helps!

*to plot on the number line is the photo below*

Anne has $5000 in her savings account and decides to leave there for three years. After one year the account increases by 10%, the following year it decreases by 5% and in the third year it increase by 15%. How much is in the account after three years?

Answers

Answer:

$6000

increases by 10% but you then take away 5% fron the 10 as it decreases by 5. meaning you have incresed by 5% and adding the 15% equals 20%. so the account increases by 20%. 20% of 5000 equals 1000. add the two together and you get 6000. so the account total now is $6000

The only thing i need

Answers

Answer:

Dilation

Step-by-step explanation:

Hope it helps!!

Answer:

Dilation

Step-by-step explanation:

hopes this help

What is quadratic and not quadratic?

Answers

Answer:

Step-by-step explanation:

A quadratic equation must contain

an [tex]x^{2}[/tex] term

and must not contain terms with degrees higher than [tex]x^{2}[/tex].

A non/not quadratic equation doesn't have an [tex]x^{2}[/tex] term. It also features a term such as [tex]x^{3}[/tex] which isn't allowed in quadratic equations

Answer:

A quadratic equation contains a quadratic term (x²), as per the name. The quadratic term must be any variable squared. A non-quadratic equation is an equation that does not contain a quadratic term such as .

The format for a quadratic equation should look like so: ax² + bx + c = 0, in which a, b, and c are all real numbers and a cannot be equivalent to 0. An example of a quadratic could be: 5x² + (-3x) + 5 = 0.

An example of a non-quadratic equation could be: x³ - 81 = 0.

Hope this helps!

Dorothy is buying desks. This table shows how the cost depends on
the number of desks purchased.
Desks Cost ($)
8
24
9
27
10
30
11
33
What is the constant of proportionality of this relationship?

Answers

Answer:

one desk costs $3

Step-by-step explanation:

the increase in prices if another table were added on is $3 thus for every table you buy, $3 each

$=3x

x being the number of tables

furthermore, constant increase

A sweater is on sale for $34.15 . If the markdown on the sweater is 45% off , what was the original cost for the sweater ? pls help me .

Answers

$45 dollars I think if it’s incorrect lmk! :)

The complete cost of purchasing an asset is known as the original cost.The whole costs associated with purchasing and using an asset are taken into account when calculating its initial cost.

Find original cost ?Subtract the asset's cost from its salvage value (what you anticipate it to be worth at the end of its useful life) to determine depreciation using the straight-line technique.The amount that can be depreciated, or the depreciable basis, is the outcome.Subtract this sum from the asset's useful life, which is measured in years. Revenue less costs equals profit.Markup is calculated as follows: markup = 100 * (revenue - cost) / cost.And finally, use revenue = cost + cost * markup / 100 if you need to know the selling price. The gross profit of a unit, which is its sales price less its cost to produce or acquire for resale, is divided by the unit's cost to determine the markup %.The markup percentage, which is computed as (12 - 8) / 8, is 50% for an item that costs the business $8 to produce but is priced at $12.

        Original cost  = $ 34.15 - $ 0.45/ 100

              = 0.33%

To learn more about original cost refer

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On Monday, Joseph got a notice from the bank saying that he had overspent, so his account balance was -$53. On Tuesday, he withdrew at the bank’s cashier a $60 amount. On Friday, he then deposited his weekly salary of $420. What will be Joseph’s bank account balance after he deposited his weekly salary?

Answers

Answer:

433 dollars I think. I'm not 100% sure

Answer:

mgfehytryutryirkytrykk,yhgft6ugyugykugykgyujgyuji u uu ,uj ,ujyhujyhhjyyujuyuydskudiduxykukyfuuiuiiu

Step-by-step explanation:

−4 4/5÷4 what is the awnser?

Answers

Answer:

-1.2 or -1 1/5

Step-by-step explanation:

Benito and Tyler are painting opposite sides of the same fence. Tyler has already painted 19 ½ feet of his side of the fence when Benito starts painting. Part A: How long will it take for the two sides of the fence to have an equal number of feet painted? 80 minutes How many feet will be painted on Benito's side of the fence when the two sides have an equal number of feet painted? 45 feet Part B: Tyler claims that because he started painting first, he will finish painting his side of the fence before Benito finishes painting his side. Is this true? Explain. Part C: The painter who finishes first gets to rest while the other painter finishes. How long will the painter who finishes first get to rest? Explain.

Answers

Answer:

Part A: The time it will take for both of them to painted equal number of feet is 4.875 minutes

The number of feet Benito will have painted when the two sides have equal length is 73.125 feet

Part B: It is not true that Tyler will finish painting his side of the fence before Benito finishes painting his

Part C: Time to rest is 1.864 minutes

Step-by-step explanation:

The given information are;

The length of fence Tyler already painted when Benito started = 19 ¹/₂ feet

Benito paints 15 feet/minute

Tyler paints 11 feet/minute

Length of fence = 150 feet

Part A:

The time it will take for both of them to painted equal number of feet is given as follows;

11×t + 19.5 = 15×t

4×t = 19.5

t = 19.5/4= 4.875 minutes

The time it will take for both of them to painted equal number of feet = 4.875 minutes

The length Benito will have painted when the two sides have equal length = 15 × 4.875 = 73.125 feet

Part B: The time it will take Tyler to finish painting his side of the fence is given as follows;

11 × t + 19.5 = 150

t = (150 - 19.5)/11 ≈ 11.864 minutes

While the time it will take Benito to finish painting his side of the fence is given as follows;

15 × t  = 150

t = 150/15 ≈ 10 minutes

Therefore it is not true that Tyler will finish painting his side of the fence before Benito finishes painting his

Part C: Given that Benito finishes before Tyler, the length of time Benito gets to rest is given as follows;

Time to rest = Time Tyler takes to finish - Time Benito takes to finish

Time to rest = 11.864 - 10 = 1.864 minutes.

The graph shown represents the height (h) of a hiker during a period of time (t). Use the vertical line test to determine if the relation represented on the graph is a function. Complete the explanation.

since___vertical line will pass through more than one point,the graph_____the vertical lines test so the relation____ a function​

Answers

Answer:

answers?

Step-by-step explanation:

Which choice is equivalent to the expression below

Answers

Answer:

B

Step-by-step explanation:

Cody buys a baseball bat for $164.50 and a baseball glove for $37.25. He estimates the total cost of the bat and glove by rounding each cost to the nearest $10. Drag numbers to the boxes to show how Cody rounds the costs. $160$35$165$30$150$170$40$50 Cody rounds $164.50 to and $37.25 to .

Answers

Answer:

Cody rounds $164.50 to and $37.25 to $160 and $40, respectively.

Step-by-step explanation:

Given

[tex]Bat = \$164.50[/tex]

[tex]Glove = \$37.25[/tex]

Required

Approximate to nearest $10

To answer this, we simply approximated both to the nearest tens.

For Bat, we have:

[tex]Bat = \$164.50[/tex]

[tex]Bat = \$160[/tex] approximated

For Glove, we have:

[tex]Glove = \$37.25[/tex]

[tex]Glove = \$40[/tex] approximated

Eliza's backpack weighs 18 and StartFraction 7 over 9 EndFraction pounds with her math book in it. Without her math book, her backpack weighs 14 and StartFraction 7 over 8 EndFraction pounds. How much does Eliza's math book weigh? 3 and StartFraction 11 over 72 EndFraction pounds 3 and StartFraction 65 over 72 EndFraction pounds 4 and StartFraction 11 over 72 EndFraction pounds 4 and StartFraction 65 over 72 EndFraction pounds

Answers

Answer:

[tex]Math\ Book = 3\frac{65}{72}\ kg[/tex]

Step-by-step explanation:

Given

[tex]Backpack = 18\frac{7}{9}kg[/tex] --- with math book

[tex]Backpack = 14\frac{7}{8}kg[/tex] --- without math book

Required

Determine the weight of her math book

To do this, we simply calculate the difference in the weights given.

Math Book= Backpack(with math book) - Backpack (without math book)

[tex]Math\ Book = 18\frac{7}{9} - 14\frac{7}{8}[/tex]

[tex]Math\ Book = \frac{169}{9} - \frac{119}{8}[/tex]

Take LCM

[tex]Math\ Book = \frac{8 * 169 - 9 * 119}{72}[/tex]

[tex]Math\ Book = \frac{1352 - 1071}{72}[/tex]

[tex]Math\ Book = \frac{281}{72}[/tex]

[tex]Math\ Book = 3\frac{65}{72}\ kg[/tex]

Answer:

b

Step-by-step explanation:

Pranav spent half of his weekly allowance on candy. To earn more money his parents let him clean the gutters for $6. What is his weekly allowance if he ended with $13?

Answers

Answer:

14 dollars

Step-by-step explanation:

13-6= 7 which is the half he spent so 7 times 2 is 14

3. Find f(-2) for
the function below.
f(x) = 9• (1/5)^x

Answers

Answer: f(-2) = 225

Step-by-step explanation:

Plug in x which is -2 because f(x) = f(-2):

f(-2) = 9 • 1/5^-2

f(-2) = 9 • 25

f(-2) = 225

Hope this helps!

Answer:225

Step-by-step explanation:

BIG BRaIN

Billy is paid $100 for 25 hours of work. What is the rate?

Answers

Answer:

1 hour: 4 dollars

Step-by-step explanation:

If Billy is being paid $100 for 25 hours of work, that means for every 5 hours of work, he is making $20. This means that for every hour of work, Billy is making $4. So the rate is 1 hour: 4 dollars

I hope this helps :)

FIRST ANSWER GETS CROWNED BRAINLIEST!!!!!

A phone company has two long distance plans. Plan A charges a flat monthly fee of $13 and $0.37 per minute of long distance calls Plan B charges a flat monthly fee of $28 and $0.15 per minute of long distance calls. After how much time on long distance calls to the nearest minute, would the cost of plan A be equal to the cost of plan B?

Answers

Answer:

68.18min

Step-by-step explanation:

let the cost of plan A be Y1

and the cost of plan B be Y2

let the number of minutes for both plans be x

let us model the cost of plan A

Y1= 13+0.37x-------1

let us model the cost of plan B

Y2= 28+0.15x------2

when Y1=Y2, we can now solve for x which is in minutes

13+0.37x=28+0.15x

collect like terms

13-28=0.15x-0.37x

-15=-0.22x

divide both sides by -0.22

x=-15/-0.22

x=68.18min

One pound equals approximately 454 grams.
About how many grams is à pound?

Answers

Answer:

454 grams I believe..................

Heather bought a new shirt for $17.46. She paid with a $20 bill. How much change did she get back?

Answers

Answer: 3.46

Step-by-step explanation:

What is 3x+4=10 solve for x


Please help me

Answers

Answer:

x=2

Step-by-step explanation:

3x+4=10

3x=10-4

3x=6

x=6/3

x=2

3 =2b -3 can someone help me understand this

Answers

Answer:

Step-by-step explanation:

Answer: 3=b

Step-by-step explanation:

First get the like terms 3 and (-3) on one side.

You do this by either adding or subracting, it depends on the sign of the number. -3 is negative 3 but you have to add it to make it zero and on the other side you add it and get 6.

Then you divide 6 by 2. 2b by 2 to get the variable alone and 3=b is your answer.

p=13 z=4

you have 5p outfits in your closet your friend has 9z who has more outfits in there closet

Answers

Answer:

you have more outfits than your friend

Step-by-step explanation:

you:

5*13=65outfits

friend:

4*9=36outfits

In the figure below, F is between E and G, and G is between F and H. IF EH=9, FH = 7, and EG=6, find FG.

Answers

Answer:

EH = 9

FH = 7

EG = 6

EF = EH - FH

EF = 9 -7

EF = 2

FG = EG -EF

FG = 6 -2

FG = 4

Step-by-step explanation:

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