A piece of string is cut in half, so thata one half can be used to bundle newspapers for recycling. One thrid of the remaining string is cut off and used to tie a parcel. The leftover string is 2m. How long was the whole piece of string?

Answers

Answer 1

The whole string was 2.4m. If you take 1/3 of 1/2x, you are just taking 1/6x. You know that what remains is 2m, and that it's the remaining 5/6. So you divide 2 by 5 and multiply that by six to get 2.4.

Related Questions

The price of an antique book is $91,which is two-fifth more then the cost to the book dealer.Find the cost.

Answers

Let the price of book x. That's the cost the book dealer.

He wants to earn some money while selling it, so he listed the book by a new price, 91 $

He added two-fifth (2/5) price to its initial price. In other words, its new price is 40 % more expensive. (2/5 = x /100)

Here is the equation in words,
initial price + 2/5 of the initial price = 91

by equation: x + 2/5 x =91

multiply both sides by 5, to eliminate the denominator:

5x +2x = 91.5 ; 7x = 455

divide both sides by 7 to simply coefficient of x: x= 65

The answer is 65$.

Answer:

The cost to book dealer is $65

Step-by-step explanation:

Given : The price of an antique book is $91.

The price is two - fifth more than the cost to book dealer.

To Find : Cost.

Solution :

Let the cost to book dealer be x

The price of an antique book is $91.

Two - fifth of the dealer cost : [tex]\frac{2}{5}x[/tex]

Since we are given that price is two - fifth more than the cost to book dealer.

⇒[tex]x+\frac{2}{5}x=91[/tex]

⇒[tex]\frac{7}{5}x=91[/tex]

⇒[tex]x=\frac{91*5}{7}[/tex]

⇒[tex]x=\frac{455}{7}[/tex]

⇒[tex]x=65[/tex]

Hence , The cost to book dealer is $65

Sharon buys 14 folders for 0.75 dollars each how much change she will
receive if she pays for $15

Answers

0.75 x 14 = 10.50
15 - 10.50 = 4.50
your answer is : Sharon will receive $4.50 change

one recipe for pancakes says to use 1 1/2 cups of mix to make 7 pancakes. How much mix is needed to make 35 pancakes

Answers

The answer is 7 1/2 cups of mix.

If we need to have 3/4 cup of milk for a whole recipe
For half of it, we will multiply 3/4 by 1/2 to get the result.

3/4 x 1/2 = 3/8

To make half the recipe, we need only 3/8 of a cup of milk.
The information 1 cup of pancake mix is irrelevant because the question asks only about how much milk is needed.

At the zoo there were 3 times as many monkeys as lions. Tom counted a total of 24 monkeys and lions. How many monkeys were there

Answers

lions = x

monkeys = 3x ( 3 times as many )

3x +x = 24

4x = 24

x = 24/4

x = 6

6 lions

6*3 = 18 monkeys

Round 16.748 to the place named tenths

Answers

16.48 probably cuz the 4 is not a 5 but check

16.75 the tenth place is the second one but it is determined on id the hundredth place (the third one) is five or above you round up and drop the last number if it is below you keep it the same and drop the last number, If that makes sense lol :p

Fifty students are trying to raise at least $12,500 for a class trip. They have already raised $1,250. How much should each student raise, on average, in order to meet the goal? Write and solve the two-step inequality for this problem.
_________________________________________________________________________________________

Answers

12 500- 1 250= 11 250
11 250 (divided by) 50= 225
Each student should raise 225 dollars

What is the least common multiple ( LCM ) of 4 and 9?

Answers

36 will be the LCM for 4 and 9.

36 is your answer because 4x9=36 4x8=32 9x3=27.

what is the value of x

Answers

131 + 108 +107 +110 = 456

180*3 = 540

540 -456 = 84

x = 84 degrees

Randy walks 1/2 mile in each 1/5 hour. How far did randy walk in 1 hour in decimal

Answers

there are 5 1/5 in an hour

so multiply 1/2 by 5

1/2 = 0.5

0.5 *5 = 2.5 miles in 1 hour

HELP PLEASE 1/6 x 3/4 = ?

Answers

The answer is 0.125. If u want me to show u how its done then u can ask :>

1/6 x 3/4 =?
First we need to multiply 1 and 3 (1x3=3)
Than multiply 6 and 4 ( 6x4=24)
Conclusion: 3/24 —> need to divide by 3 both numbers and the result is 8

Samantha has $200 to spend on school clothes. She can buy two designer blouses that all of her friends have, or she can buy four generic blouses for the same amount. She decides to buy the designer blouses. What is Samantha’s motivation behind buying the designer blouses?
conspicuous consumption
consideration for the future
confusion of needs and wants
desire to get the best deal

Answers

the answer would be conspicuous consumption because she wanted to be like her friends.

Answer: A. conspicuous consumption

Step-by-step explanation:

Share a reward of $140 in a ratio of 2:5

Answers

So first we divide 140 by 7 because our ratio is a total of 7 dollars to get 20
So we multiply both sides of the ratio by 20 to get a ratio of 40:100
We can check our answer and it is right because 100+40=140

Can someone help me on this??

Answers

To find the sale price, subtract the discount price from the original price.

17) 11.99 × .53 = 6.3547

11.99 - 6.3547 = 5.6353

Round to the nearest cent.

The sale price is $5.64.

19) 56.5 × 0.16 = 9.04

56.50 - 9.04 = 47.46

The sale price is $47.46.

20) 219.95 × 0.15 = 32.9925

219.95 - 32.9925 = 186.9575

Round to the nearest cent.

The sake price is $186.96.

21) 40.95 × 0.38 = 15.561

40.95 - 15.561 = 25.389

Round to the nearest cent.

The sale price is $25.39

23) 33.99 × 0.08 = 2.7192

33.99 - 2.7192 = 31.2708

Round to the nearest cent.

The sale price is $31.27.

24) 174.99 × 0.23 = 40.2477

174.99 - 40.2477 = 139.7423

Round to the nearest cent.

The sale price is $138.74.

25) 50,000 × 0.3 = 15,000

50,000 - 15,000 = 35,000.

The sale price is $35,000.

26) 31.95 × 0.2 = 6.39

31.95 - 6.39 = 25.56

The sale price is $25.56

A home improvement store advertises 60 square feet of flooring for $287.00 including an $80.00 installation fee. Write in equation to represent the cost of one square foot of flooring.

Answers

Hello there,
60 square feet= $287.00 + $80.00
= $367
1 square feet= $367 / 60
= $6.116666667
= $6.12 (to 2dp)

Hope this helps :))

~Top

The cost of one square foot of flooring (excluding the installation fee) can be calculated by subtracting the installation fee from the total cost and then dividing by the total square feet. The equation for this would be c = ($287 - $80) / 60. Solving this equation yields a cost of $3.45 per square foot.

The total cost for a flooring, including the installation fee, is $287. This cost is for 60 square feet of flooring. Therefore the cost c for one square foot of flooring can be calculated using the equation c = (Total Cost - Installation Fee) / Total Square Feet. To find this, subtract the installation fee from the total cost and then divide the remainder by the total square feet. This gives us the equation c = ($287 - $80) / 60. Solving this equation, we find that c = $3.45. So, the cost per square foot of flooring, excluding the installation fee, is $3.45.

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check my answers please solve the following equation. 2(h - 8) - h = h - 16 h = 8 h = -8 infinitely many solutions no solution

Answers

sorry that is wrong, you distribute the 2 to the h and the 8 so it would be 2h-16-h. that would be h-16 on the left side,

Out of the 25 students in Mrs. Green's class, 10 have a pet. What percent of the students in Mrs. Green's class have a pet?

Answers

40% of Mrs. Green's student has a pet.

In order to calculate this you:

First, you divide the low number by the high number. In this case that would be 10 / 25= 0.4.

Lastly, you will multiple the answer from your division (0.4) by 100. This would be 0.4 x 100= 40.

Helppppppppppppppppppppppppppppppppp

Answers

i believe answer is grin
hope it helps

im 100% sure its b) Grin

Find the reciprocal. Show that the product of the mixed number and the reciprocal is 1.
1) 10 1/2
2) 6 3/7
3) 2 8/9

Answers

The product of the mixed number is #1

-3 3/8 - 7/8 in simplest form

Answers

First, you would want to make -3 3/8 an improper fraction. To do that you would multiply the denominator by the whole number, then add that number to the numerator. That would make the improper fraction -27/7. You would then subtract 7/8 from -27/8 which would make the answer -34/8. Then simplifying it you would get -4 1/4.

In the number 0.561 which is the hundredths place

Answers

Hello There!

After the decimal point it goes: tenths, hundredths, thousandths, tens thousandths etc...
In the hundredths place is the '6'

Hope This Helps You!
Good Luck :)

- Hannah ❤

56.1

you move the decimal two places to the right.

Gym class of 30 boys and 45 girls is divided into groups each group has the same number of students each group has only boys or girls which is the greatest possible group sizes if every student participates

Answers

The greatest number of groups is 15. This is because 15 is a common multiple of 30 and 45

Raymond has a room that is 25 and a halg foot long he wants to cut it into 6 pieces that are equal in length how long will it peace be?

Answers

To solve this problem you would need to divide 25.5 by 6 and you should get 4.25

divide 25 1/2 by 6

25 1/2 = 51/2

51/2 / 6 =

51/12 = 4 1/4

each piece is 4 1/4 feet long

list a characteristic of univariate data

Answers

Frequency Distribution Tables.Bar Charts.Histograms.Frequency Polygons.Pie Charts.

Hilary wants to fill a mini cake pan with batter to make a mini cake for Phillip's party. The cake pan is 4.0 inches long, 9.0 inches wide, and 2.2 inches deep. What is the volume of the cake pan?

Answers

You would just have to multiply 4.0 * 9.0 * 2.2 = 79.2 thx :P

79.2 i think

hope i helped

Tommy packed 8 coolers. Each cooler has 14 bottles of water and 12 bottles of juice.

Answers

112 waters 96 bottles of juice

112 waters and 96 bottles of juice

What are the two whole numbers that are closest to the square root of 135?

Answers

sqrt(135) is between

sqrt(144) which is 12 and
sqrt(121) which is 11 so

it is between 11 and 12.

you buy some living room furniture: couch=$499.99 , loveseat=$239.49 and rocker=139.73. How much is your total purchase ?

Answers

the answer is $879.21
adding $499.99 + $239.49 + $139.73 = $879.21

Just use a calculator

A record album is 3/16 of an inch thick. How many albums can be stacked to fit in a box 12 inches high? Please show me how you got you answer explain

Answers

Final answer:

In order to find out how many albums will fit in the box, divide the total height of the box by the thickness of one album. This resulted in a total of 64 albums.

Explanation:

The problem involves determining the number of record albums that can be stacked into a box with a height of 12 inches. Each album is 3/16 of an inch thick. To find the number of albums, you will need to divide the total height of the box, which is 12 inches, by the thickness of one album.

Here is the calculation: 12 ÷ (3/16) = 12 ÷ 0.1875 = 64.

Therefore, you can fit 64 albums in a 12-inch high box. Remember, this involves simple division and understanding of fractions and their decimal equivalents.

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Ben has collected one more marble than three times the number of marbles as jerry. together they have 229. how many marbles does ben have?

Answers

Working backwards, we first subtract 1. That is 228. Next you divide 228 by 4, which is how many parts they have in all. That is 57. 57 times 3 is how much ben has. Your answer is 171.

Final answer:

To find out the number of marbles Ben has, we set up equations based on the information given, solve for Jerry's marbles (J), and then use that to solve for Ben's marbles (B). Ben has 172 marbles.

Explanation:

Let's denote the number of marbles Jerry has as J, and the number Ben has as B. According to the problem, Ben has one more marble than three times the number of marbles Jerry has, so we can write this relationship as B = 3J + 1. Together, Ben and Jerry have a total of 229 marbles, which gives us the equation B + J = 229.

Now, we can substitute the expression for B from the first equation into the second equation to solve for J:

3J + 1 + J = 2294J + 1 = 2294J = 229 - 14J = 228J = 228 / 4J = 57

Now that we know Jerry has 57 marbles, we can find out how many marbles Ben has:

B = 3(57) + 1B = 171 + 1B = 172

Therefore, Ben has 172 marbles.

What is the quotient of 15p^-4 q^-6/-20p^-12 q^-3 in simplifed form?

Answers

In this question, you have two variable p and q. To simplify it, you need to divide each variable which will result in subtracting the power/exponent. Since all the exponent is a minus, it will be easier to switch the position first. The calculation should be:

15 * p^-4 * q^-6 / -20 * p^-12 * q^-3=
15 * p^12 * q^3 / -20 * p^4 * q^6=
15 /-20 * p^(12-4) * q^(3-6)=
-3 /4 * p^8 * q *-3=
-3 * p^8/ q^3

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