If a 40-m rope is cut into two pieces in the ratio 3:5 how long is each piece

Answers

Answer 1

Final answer:

The 40-m rope cut in a 3:5 ratio gives a 15 m piece and a 25 m piece. Doubling the rope length to 80 m with the same ratio yields a 30 m piece and a 50 m piece.

Explanation:

To find the length of each piece of a 40-m rope cut in the ratio 3:5, we need to work out the parts of the rope that each ratio value represents. First, we add the parts of the ratio together: 3 + 5 = 8 parts in total. Then, we find the length of each part by dividing the total length of the rope by the total number of parts: 40 m ÷ 8 = 5 m per part. Furthermore, to find the length of the smaller piece, we multiply the size of one part by 3, and for the longer piece, we multiply by 5.

Length of smaller piece = 3 parts × 5 m/part = 15 mLength of larger piece = 5 parts × 5 m/part = 25 m

Related Questions

Multiply 6/5 x 25/24 ??

Answers

6/5 × 25/24
=1/1 x 5/4
5/4

hope it helps

Look at the picture answer all 3 of the questions and if you cannot answer all my questions then answer 1 question only.

Answers

Answers:
__________________
6)  The number, "8.2", belongs to:
_________________________________
[C]:  "rational numbers only" .
_________________________________
Explanation:  
_________________________________
Choice [A]:  "whole number only" ; is incorrect; since any decimal value/ decimal-containing value — including this given value: "8.2" — is not a "whole number" ; and NOT an integer.

Thus, we can eliminate Choices: [D]: and [B] ; and we are left with:
  "Choice:  [C]:  "Rational numbers only".

Note:  "8.2" is a rational number;  since the number is real; and since the number is not "irrational".  An "irrational number" would mean that the resulting decimal form would be "non-terminating" AND "non-repeating".   
_________________________________
→ As such:  Answer choice:  [C]:  "rational numbers only".
_____________________________________________________

7)  The number,
"5", belongs to:
_________________________________
    [D]:  "integers, whole numbers, and rational numbers".
_________________________________
Explanation:
_________________________________
Choice:  [A]:  is:  "whole numbers ONLY".  This COULD be correct; since "5" is a whole number;  but take note of the the word: "only" in this answer choice.
_________________________________________________________
Choice:  [B]:  is:  "integers and rational numbers".  Yes; "5" is both an "integer"; AND a "rational number";  and there is no word, such as "only" in this answer choice.  So, this answer could be correct;  and arguably is a better answer than "Choice: [A]" .
→ So; at this point, let us "tentatively eliminate":  "Answer choice: [A] " .
_________________________________
Choice: [C]: is:  "rational numbers only".  Note that:  "5" ; is, in fact, a "rational number"; however, take note of the word:  "only";  (as mentioned in:  "Answer choice:  [A]" . 
→ At this point, "Answer choice: [B]: is arguably a better answer than choices:  [A} & [C].    
→ So; we can tentatively eliminate choices: [A] & [C].
_________________________________
Choice [D]:  is:  "integers, whole numbers, and rational numbers" .
____________________________________________
→ This choice is the best answer choice given;  since "5" ;  is an integer, a whole number, AND a rational number.
__________________________________________________

8)  The number, "-27", belongs to:
_________________________________
    [B]:  "integers and rational numbers".
_________________________________
Explanation:
_________________________________
Choice: [A]:  "whole number only" ; is incorrect, because negative numbers; including our given value;  "- 27 " ;  is NOT a "whole number".

             →  As such, we can eliminate:
   "Choice [A]" ;
    as well as:  "Choice [D]:  "integers, whole numbers, and rational numbers". 
__________________________________
We are left with:  "Choices:  [B]  and [C] " .
__________________________________
Choice [B]:  is: "integers and rational numbers".  This choice could be correct; since our given value; " -27 " ; is both an "integer" AND a "rational number".
__________________________________
Choice [C]: is: "rational numbers only".  Our given value, "-27", is a rational number;  however, note the word: "only" ; in this answer choice.

   → Choice [B]:  is:  "integers AND rational numbers" ; which is the best—and correct—answer choice.
_________________________________________________

Answer:

? what's the picture

Step-by-step explanation:

The function f(x)=5(x−1) is shown on the coordinate plane. Select from the drop-down menus to correctly describe the end behavior of ​ f(x) ​. As x decreases without bound, the graph of f(x) . As x increases without bound, the graph of f(x) . An exponential curve graphed on a coordinate plane with horizontal x-axis ranging from negative 4 to 4 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. The curve begins from the second quadrant. The curve increases through begin ordered pair 0 comma 0.2 end ordered pair. The curve passes through begin ordered pair 1 comma 1 end ordered pair and moves away from the positive y-axis.

Answers

Answer: As x decreases without bound the graph f(x) decreases, as x increases without bound the graph of f(x) increases.

Step-by-step explanation:

Since, the given function is , [tex]f(x) =5(x-1)[/tex]

If [tex]x\rightarrow -\infty[/tex] then [tex]f(x)\rightarrow -\infty[/tex]

that is, we can say, as x decreases without bound the graph f(x) decreases.

While, If [tex]x\rightarrow +\infty[/tex] then [tex]f(x)\rightarrow +\infty[/tex]

That is, we can say, as x increases without bound the graph f(x) increases.

thus, we can say first option represents the correct end behavior of f(x).

Find the slope of the line that passes through the pair of points. ​(negative 44.29−44.29​,4.84.8​) and ​(5.295.29​,3.53.5​)

Answers

1.7602899999999995x + 49.138y = 182.23671592000002

Which expression is equal to 6(-3m)^4

Answers

6(-3m)^4
= 6(-3)^4 m^4
= 6(81) m^4
= 486 m^4

on your options answer is C.6(-3)^4m^4

9 is 63% of what number

Answers

(9 x 100) / 36 .. put it in the calculator and you’ll get 25
The answer is 25 ! :)

a, b and c are different prime numbers. work out a set of values for a, b and c so that a + b = 2c

Answers

The only way I can see to work this out is long hand writing out all prime numbers multiply them by 2 and looking for prime number interferes therefore = 3+7=10

what are the names of four
coplanar points

Answers

Hope this helps a little honey

After the party, there was 0.5 of the pizza left. Angela ate 0.2 of the leftover pizza.

Angela said that she ate 0.01 of the whole pizza but Cal and Martha disagreed. Cal said it was 0.10 and Martha said it was 0.1

Mark all statements that are true.
True Not True

Angela is correct.

Cal is correct.

Martha is correct.

Nobody has the correct answer.

Answers

For one thing, Cal and Martha are technically in agreement; 0.1 and 0.10 are the exact same value. To see whether they're right, or whether Angela had it correct, let's take a look at the numbers 0.5 and 0.2.

As fractions, those two values would be [tex] \frac{5}{10} [/tex] and [tex]\frac{2}{10}[/tex], or [tex] \frac{1}{2} [/tex] and [tex] \frac{1}{5} [/tex] when reduced. When you cut the original pizza in half, you cut it into 2 equal slices. Cutting each of those two pieces into 5 equal pieces, we get a total of 5 x 2 = 10 equal slices. So, taking one of those slices at that point - as Angela did - would be taking [tex] \frac{1}{10} [/tex] - or 0.1 - of the whole pizza.

So, both Cal and Martha are correct.

To which płace would you round to estimate 6,904-4,111 explain

Answers

To estimate you would round the numbers, so it would be 7,000 - 4,000 = 3,000. 

A 9cm wife cross section pipe has a height of 13cm . What is the volume of the pipe

Answers

I think you meant "wide." :) Since it is a pipe, you should know that it is the shape of a cylinder. Therefore, the formula would be: πr^2h. Substitute the height for h. (π(4.5)^2(13). Since it's 9 cm wide total, divide it by 2 to get the radius (part of formula), which is 4.5 So multiply π times 4.5^2 (which equals 20.25) times 13. This all will equal 826.605. You can simplify this decimal to 827. Therefore, the volume is 827 cm^3.

To find the volume of a pipe, use the formula V = Ah where A is the cross-sectional area and h is the height of the pipe. Substituting the values given, the volume of the pipe is 826.805 cm³.

The volume of the pipe can be calculated using the formula V = Ah, where A is the cross-sectional area and h is the height of the pipe. In this case, the cross-sectional area can be found using the formula for the area of a circle, A = πr². Given that the pipe has a diameter of 9 cm, the radius (r) is half of the diameter, which is 4.5 cm.

Substitute the values into the formulas to find the volume: A = π(4.5 cm)² = 3.142 x 20.25 cm² = 63.585 cm². Now, calculate the volume using V = 63.585 cm² x 13 cm = 826.805 cm³.

john is buying a cake for his sisters birthday. he wants to get the most cake he can. one cake (A) is 9.5 inches wide, 13 inches long, and 2 inches high, another (B) is 12 inches wide, 14 inches long, and 1.5 inches high. which will john buy? how much longer is it

Answers

To decide which cake would be the best value for money, we will calculate the volume of each cake

Cake A: 9.5 × 13 × 2 = 247 inches³
Cake B: 12 × 14 × 1.5 = 252 inches³

The best value cake will be cake B

Cake B is 14 - 13 = 1 inch longer and 12 - 9.5 = 2.5 inches wider but it's also 0.5 inches shorter than cake A.

help please! <3
Unit 4 Review & Sample Work Inequalities Solving and Graphing Inequalities Graph the solution sets to the inequalities on the number lines below.


https://gyazo.com/00a920c17b5ad39849d47d70484cca0c

Answers

Final answer:

Graphing the solution sets to inequalities involves using open or closed circles to represent non-inclusive or inclusive endpoints and shading the number line to indicate the direction of the inequality.

Explanation:

To graph the solution sets to the inequalities on number lines, we need to understand and apply the concepts of inequalities and number line graphing. If an inequality has a 'less than' (<) or a 'greater than' (>) symbol, we use an open circle on the number line to indicate that the endpoint is not included in the solution. Conversely, if an inequality includes 'less than or equal to' (\u2264) or 'greater than or equal to' (\u2265), we use a closed circle to show that the endpoint is part of the solution set. The inequality symbol will also determine the direction in which we shade the number line: to the left for 'less than' and to the right for 'greater than'.

For example, if we have an inequality x > 3, we place an open circle at 3 and shade the number line to the right of 3, indicating all numbers greater than 3 are included in the solution set. If the inequality is x \u2265 5, we place a closed circle at 5 and shade to the right, including 5 and all numbers greater than it. Similarly, with x < -2, an open circle would be placed at -2 and the line shaded to the left. Lastly, for x \u2264 -4, a closed circle at -4 with the line shaded to the left indicates the solution set.

Use GCF and the distributive property to rewrite 42+48

Answers

GCF of 42 an 48: 6
6(7+8)
6(7+8) equals 42+48 with 6 being the greatest factor.

The table shows five transactions and the resulting account balance in a bank account, except some numbers are missing. Fill the missing numbers

Answers

Answer:

transaction 3 (account balance) = 143

transaction 4 (account balance) = -86

transaction 5 (transaction amount) = 86

Step-by-step explanation:

From the table it is seen that after transactions the account balance either increases or decreases.

Transaction 1

transaction amount was 200 while account balance became 200

Transaction 2

the initial startup balance will be = transaction amount + current account balance  which is = 147 + 53 = 200 .

Note: the account balance of the previous transaction becomes the initial account balance of the next transaction

Transaction 3

account balance = initial account balance + transaction amount

                            = 53 + 90 = 143

Transaction 4

account balance = initial account balance + transaction amount

                            = 143 + ( - 229 ) = - 86

Transaction 5

transaction amount = account balance - initial account balance

                                 = 0 - ( -86 ) = 86

The account balance after transaction 3 is 143

The account balance after transaction 4 is -86

Transaction amount of transaction 5 is 0

What does a debit and credit transaction mean?

When money is withdrawn from an account, a debit transaction occurs, it is represented with a negative sign. When money is deposited from an account, a credit transaction occurs, it is represented with a positive sign.

What is the value of the missing numbers?

Account balance after transaction 3 = 53 + 90 = 143Account balance after transaction 4 = 143 - 229 = -86Transaction amount of transaction 5 = -86 + 86 = 0

To learn more about addition, please check: https://brainly.com/question/19628082

Suppose 18 gallons of water care out of a pipe in 6 minutes. What was the rate in gallons per minute?

Answers

The rate is 3 gallons per minute.
It is 3 gallons per minute.

PLEASE HELP

x 1 2 3 5 6
y 0 1 2 4 5 Are the paired points in a proportional relationship?

Answers

Yes
The paired points in a proportional relationship

Hope I helped :)

Answer:

Hope this helps. ARE NOT

Step-by-step explanation:

Help I do not understand how to find the area of circles

Answers

The formula for the area of a circle is a = πr², r being the radius.

To tackle this problem, find the area of the square and then subtract the area if the circle:

Area of square = 20 * 20 = 400
Area of circle = π(10)² = 100π = 314

Area of square - area of circle = 400 - 314 = 86 m²

Hope this helps!



estimate 36,472-32,841

Answers

Well, if rounded by thounsandths, it would be 40,000-30,000. This would equal 10,000.
However, if it was rounded by hundredths, it would be 36,500-32,800. This would equal 3,700.

Alicia drove at a constant speed and traveled 183 miles in 3 hpues how many miles would Alicia travel in 11 hours at the same speed

Answers

Setting up and solving an equation of ratios is one of the fastest ways in which to solve this kind of probelm.

183 miles         3 hrs
-------------- = ------------
        x              11 hrs

Do the math.  You'll find that x = 671 miles.

Answer:

Alicia will travel 671 miles in 11 hours

Step-by-step explanation:

Alicia traveled 183 miles in 3 hours.

in 1 hour Alicia will travel=[tex]\dfrac{183}{3}[/tex]

                                        =61 miles

Hence, in 11 hours Alicia will travel=61×11 miles

                                                        = 671 miles

Hence, Alicia will travel 671 miles in 11 hours

Which of the following points lies on the graph of ( x , y ) (x,y) lies on the graph of 8 x + 2 y = 24 ?

Answers

Answer:

x=3

y=12

Step-by-step explanation:

MATH BEWARE MATH IMMA POST IMAGE HELP! :c

Answers

Slope formula is :

y₂-y₁ / x₂-x₁

Our points are : (2, 6) & (-4, -6)

y₂ = -6 ; y₁ = 6 ; x₂ = -4 ; x₁ = 2

So, now that we have our points and values, we simply plug everything into our slope equation.

y₂-y₁/x₂-x₁

-6 - 6/-4 - 2

Simplify.

-12/-6

Simplify.

2

Our slope is 2

~Hope I helped!~

Answer:

The answer for the slope is 2.

What is 9,000,009 in word form?!?

Answers

Nine million nine.!!!!!
It's nine million nine

A real-estate agent earns a commission on a house she sells. Her commission 5% on the first $500,000 ofthe sale price of the house. She then earns a 6% commission for the amount above $500,000 of the salé price of the house. How much commission did the agent earn if she sold a house for $585,000?

Answers

Because 585k > 500k, then the commission would be 6%.

Percent: 6% = 0.06

Now we will multiply the cost of the house by the percentage to find the commission amount:

1) 0.06(585,000) = 35,100

The total amount the agent will receive would be $35,100.

a chef used 1/10 of a bag of potatoes to make 1/6 of a gallon of stew. if he wanted to make a full gallon of stew how many bags of potatoes would he need?

Answers

(1/10) / (1/6) = x / 1.....1/10 bag to 1/6 gall = x bags to 1 gall
cross multiply
(1/6)(x) = (1/10)(1)
1/6x = 1/10
x = (1/10) / (1/6)
x = 1/10 * 6/1
x = 6/10 which reduces to 3/5 bags <==

Solve using distributive property 6 x 4.4

Answers

Final answer:

To solve the equation 6 x 4.4 with the distributive property, multiply 6 by each part of 4.4 (which is divided into 4 and 0.4) separately and then add the results together. This yields 24 + 2.4, which equals 26.4.

Explanation:

To solve the multiplication problem 6 x 4.4 using the distributive property, we can break down the number 4.4 into 4 and 0.4. Then we distribute the multiplication over these two addends separately.

This can be written as:

6 x (4 + 0.4) = (6 x 4) + (6 x 0.4)

Next, we solve each part of the equation:

6 x 4 = 24

6 x 0.4 = 2.4

Finally, we combine these two results to get the final answer:

24 + 2.4 = 26.4

Thus, 6 multiplied by 4.4 equals 26.4.

Giving 30 points whoeve helpsssss me fasttttt. No wrong answers

Answers

y = x^2 -2 is not a linear function, because x is being multiplied by itself, so there is more than one x in the equation.

In a function equation, there can be no exponents on variables.
The expression with x^2 is not linear.
A linear function cannot have an exponent on a variable.

Shanice's car is traveling 10 miles per hour slower than twice the speed of Brandon's car. She covers 93 miles in 1 hour 30 minutes. How fast is Brandon driving?

Answers

Shanice's rate: 93 / 1.5 = 62 miles per hour

she is 10 miles slower than twice the speed of Brandon

62 +10 = 72

72/2 = 36

 Brandon is driving 36 miles per hour

An airplane flew 2,400 miles in 4 hours if the plane flew the same numbers of miles each hour how many miles did it fly in one hour

Answers

2400 / 4 = 600

The airplane flew 600 miles per hour.

solve the system of equation-5x+2y=9 y=7x

Answers

x = 2y/5 - 9/5
y = 5x/2 + 9/2
(I don't know if this is correct)
Hope this helps!

The system of equations -5x + 2y = 9 and y = 7x is solved using substitution, yielding the solution x = 1 and y = 7.

To solve the system of equations -5x + 2y = 9 and y = 7x, we can use substitution since the second equation gives us 'y' in terms of 'x' directly. We substitute 7x in for y in the first equation:

-5x + 2(7x) = 9

-5x + 14x = 9

9x = 9

x = 1

Now that we have the value for x, we can find y using the second equation:

y = 7(1)

y = 7

Therefore, the solution to the system of equations is x = 1 and y = 7.

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