The length of a piece of wire is 5/6 the length of a rope. The length of a piece of string is 1/4 the length of the rope. The length of the piece of string is 4.5 centimeters. Find the ratio of the length of the piece of wire to the length of the rope to the length of the piece of string.
Show your solution.

Answers

Answer 1

The ratio of the length of the piece of wire to the length of the rope to the length of the piece of string is 6:5:1.5

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

Let the length of the rope = x

Length of a piece of wire = (5/6)x

Length of a piece of string = (1/4)x

Length of the piece of string = 4.5cm

This can be written as,

4.5cm = (1/4)x

45/10 x 4 = x

x = 9 x 2

x = 18 cm

Now,

Length of the rope = 18 cm

Length of a piece of wire = 5/6 x 18 = 15 cm

Now,

Length of the rope : Length of a piece of wire : Length of a piece of string

18:15:4.5

We can simplify the ratio as,

Taking out the common factor 3.

6:5:1.5

Thus,

The required ratio is 6:5:1.5

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Related Questions

Find out the area of parallerogram

Answers

3833.38 hope this helps. Help help send.&;;&;&chill out nsjssnssksclap

Finnhas$60inasavingsaccount.Theinterestrateis10%peryearandisnotcompounded.Howmuchinterestwillheearnin1year?

Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

I = $ 6.00

Step-by-step explanation:

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 10%/100 = 0.1 per year,

then, solving our equation

I = 60 × 0.1 × 1 = 6

I = $ 6.00

The simple interest accumulated

on a principal of $ 60.00

at a rate of 10% per year

for 1 years is $ 6.00.

A rectangle has an area of 198 square meters and a width of 9 meters.

What is the length of this rectangle?

Answers

Answer:

The length of the triangle is 22.

Step-by-step explanation:

Area = width*length

length = area/width = 198/9 = 22

In AXYZ, ZX=13° and XY=63º. ZXWZ=90° and XY=690. Find the length of XW to
the nearest 10th.

Answers

We want to find WZ, so we focus on right triangle YWZ. Side WY is half the length of XY because WZ is a line bisector of XY. Therefore, YW is 4.25

Now, we have a right triangle with a known angle and a known side. With this type of triangle, we can use basic trigonometry applications.

The side opposite to the 90 degree angle is the hypotenuse. The hypotenuse is YZ. The two legs are WZ and YW.

We can use cosine function to find tangent because the YZ is not known.

tangent is side opposite of angle divided by side adjacent to angle.

tan(72) = WZ / 4.25

4.25tan(72) = WZ

0.3 = WZ

What is the slope of the equation c=2m+40

Answers

Answer:

Slope is m = 2

tep-by-step explanation:

Answer:

slope=2

Step-by-step explanation:

What is the product of (t – 4) (t? + 2t - 6)?

Answers

Answer:

Step-by-step explanation:

(t - 4) (t + 2t - 6)

= t2 + 2t2 - 6t - 4t - 6t + 24

= Solving like terms

= 3t2 - 16t + 24

What is the quotient when (x+ 2) is divided into the polynomial 2x2 - 2x - 12?
O A. 2x-5 with no remainder
O B. X+ 3 with a remainder of -2
O C. 2x-3 with a remainder of 5
O D. 2x-6 with no remainder

Answers

Answer:

2x² - 2x - 12 ÷ (x+2)

= 2x - 6

D. 2x-6 with no remainder

The quotient when (x + 2) is divided into the polynomial 2x² - 2x - 12 is, (2x - 6) with no remainder.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

To find the quotient when (x + 2) is divided into the polynomial

2x² - 2x - 12.

Now,

The polynomial is,

⇒ 2x² - 2x - 12

⇒ 2 (x² - x - 6)

⇒ 2 (x² - 3x + 2x - 6)

⇒ 2 [ x (x - 3) + 2(x - 3) ]

⇒ 2 [ (x + 2) (x - 3) ]

Hence, We can divide polynomial by (x + 2) as;

⇒ 2 [ (x + 2) (x - 3) ] ÷ (x + 2)

⇒ 2 (x - 3)

⇒ 2x - 6

Therefore, the quotient when (x + 2) is divided into the polynomial

2x² - 2x - 12 is, (2x - 6) with no remainder.

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a seventh grade special education classroom consists of 14 girls and 16 boys. If 10 of the students are selected at random to help a fourth grade math class, determine the probability that all boys will be selected.

Answers

Answer:

8/30015 or .037%

Step-by-step explanation:

16/30 × 15/29 × 14/28 × 13/27 × 12/26 x 11/25 x 10/24 × 9/23 × 8/22 × 7/21

= 8/30015

Brainlest and points !! Picture included

Answers

Itssssssss 30 have a nice day

In the year 1986 reg Morris ate 30 hotdogs in 64 seconds how many seconds per hotdog is this

Answers

Answer:

Step-by-step explanation:

Time taken to eat 30 hot dogs = 64 seconds

Time taken to eat 1 hot hot dog = 64 ÷ 30

                                                    ≈ 2 seconds

Lydia made some cookies, of which 1/3 were chocolate chip, ¾ of the remainder were gingersnaps and the rest were peanut butter. If Lydia made 4 dozen cookies altogether, how many peanut butter cookies did she make?
I mark brainliest by today

Answers

Skiffjsjdbbdbcbdhfhvvvvvvvvvvvv

Answer:

8 peanut cookies

Step-by-step explanation:

4 x 12  = 48

48 x  1/3 = 2/3 left             (16 chocolate chip)

48-16= 2/3 = 32 left          

32 x 3/4 = 24                     (24 gingersnaps)

32-24 = 8                          ( 8 peanut cookies)

The figure shows a pentagon. The length of each side is given
as shown. Find the perimeter of the pentagon in terms of w.
Please help !!




Answers

Answer:

perimeter = sum of all side

perimeter in terms of w= w+w+w+w+w

i.e= 5w

PLEASE ANSWER K WILL GIVE BRAINLIEST!!

topic: solving word problems involving linear inequalities in one variable.

Sarah is 4 years older than Jonalyn. Seven years ago, the sum of Sarah's age and
Jonalyn's age is greater than 26. What is the least age of Jonaly?

Answers

Answer:30

Step-by-step explanation:26+4

What's the perimeter?

Answers

Answer:

B. 24

Step-by-step explanation:

You add a+b+c.

A would be 5in

B would be 5in again because you can see they are the same

C would be 6in

Then you would add them all together.

5+5=10

10+6=16

Then you would multiply this by 1 1/2

This will equal out to 24

HOPE THIS HELPS

A line that includes the points (9,j) and (10,4) has a slope of 1. What is the value of j?

Answers

Answer:

soln

A=(9,j)

x1=9,y1=j

B=(10,4)

x2=10,y2=4

slope=1

by using the fomulaof slope,

slope=y2-y1/x2-x1

1 =4-j/10-9

1 = 4-j/1

1=4-j

j=4-1

j=3

Answer:

j = 3

Step-by-step explanation:

(9 , j) ; [tex]x_{1}= 9[/tex]   and [tex]y_{1} = j[/tex]

(10, 4) ; [tex]x_{2} = 10[/tex]   and [tex]y_{2} = 4\\\\[/tex]

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\ \frac{4 - j}{10-9} = 1\\\\\frac{4 - j}{1}=1[/tex]

4 - j = 1   {Subtract 4 from both sides}

-j = 1 -4

-j = -3 {Multiply both sides by (-1) }

j = 3


What is the solution to this system of equations? Show your work. 46 points

Answers

y - x = 9
12 = 1/3x

The first thing you want to do when solving a system of equations is isolating one of the variables.
Since the second equation only contains x, we can isolate x in the first equation.

y - x = 9
y = x + 9
x = y - 9

You can also solve the second equation without any previous solving.
12 = 1/3x
Multiple both sides by 3/1 or 3
x = 36

Now we can set them equal to each other

36 = y - 9
y = 45

Answer: x = 36 and y = 45

Answer:

The solutions to systems of equations are the variable mappings such that all component equations are satisfied—in other words, the locations at which all of these equations intersect. To solve a system is to find all such common solutions or points of intersection.

Step-by-step explanation:

Isolate x for 12=1/3x: x=36

[y - 36=9]

the solutions to the system of equation is:

y=45 x=36

When dealing with an equation containing two variables, we can put the graph of the equation on the coordinate plane because the number of variables is equal to the number of dimensions that are needed to properly graph the solution. Each ads on a graph represents one variable in the equation being graphed. What would you use to graph the solution to an equation with one variable? What would you use to graph the solution to an equation with three variables Could you graph an equation containing more than four variables Explain. If you were given the graph of an equation with two variables on a coordinate plane, what would happen to the graph if all the y-values were increased by 19 What would happen to the graph it all the values were increased by 19 What would happen to the graph if all the y-values were multiplied by 2 or by 1129 Explain​

Answers

Answer:

that sounds rlly confusing ngl hope u get it right

Step-by-step explanation:

which models represent 1/4÷6 choose all correct answers​

Answers

Answer:

[tex]\dfrac{1}{24}[/tex]

Step-by-step explanation:

We need to find the value of 1/4÷6.

It can be done as follows :

[tex]\dfrac{\dfrac{1}{4}}{6}[/tex]

We know that, [tex]\dfrac{\dfrac{1}{x}}{y}=\dfrac{1}{xy}[/tex]

We have, x = 4 and y = 6

So,

[tex]\dfrac{\dfrac{1}{4}}{6}=\dfrac{1}{4\times 6}\\\\=\dfrac{1}{24}[/tex]

So, the final answer is equal to [tex]\dfrac{1}{24}[/tex].

Where is Point A located on the coordinate grid?

Answers

Answer:

Quadrant 11

Step-by-step explanation:

Quadrant 2 mark as brainllest

PLS HELP
Rusty has a cap collection. He has 5 shelves with 7 football team caps on each shelf. He has 3 shelves with 13 baseball caps on each shelf. He gives his best friend 5 football caps and 2 baseball caps.

How many caps, c, does Rusty have now?

Rusty has a total of ___ caps.

Answers

19


hope this helps today buddy

Answer:

19

Step-by-step explanation:

Jasmine and Olivia each have a bracelet collection.
The number of bracelets in Jasmines collection is represented by x.

The number of bracelets in Olivia's collection is 4 times the number in Jasmines collection

The total amount of bracelets in both collections is 45
What is x, the amount of bracelets in Jasmines collection?

Answers

Answer:

x = 11.25

Step-by-step explanation:

4x=45

divide 4 from both sides

4/4 x = 45/4

x= 11.25

Answer:

x= 11.25

Step-by-step explanation:

4x = 45

4 * 45/4= 45

45=45

For the following right triangle, find the side length x.
X
12
35
help pls

Answers

Answer:

the length of side X is 37

Which expression is equivalent to -6(3 + 4x)?

Answers

Answer:

A

Step-by-step explanation:

may I have brainllest

Answer:

A

Step-by-step explanation:

Find the diameter and circumference of each circle given its radius of 4 cm. Use pi = 3.14 and round answers to the nearest tenth.​

Answers

Lol I had this still when I was learning that
Btw: c is the circumference
If u have any questions just comment them

11. Which of the following shows the first 5 terms in
the sequence defined by f(1) = -8, f(n) = 2f(n - 1)?
f. 2, -16, 128, -1024, 8192
h.2, -6, -14, -22,-30
g. -8, -16, -32, -64, -128
j. -8, -6, -4, -2,0

Answers

G is the answer to question

If these numbers represent elevations in meters, which is the farthest away from sea level? Explain please I don't understand. (I've sorted them from least to greatest if that helps)
-12, -¾, -0.4, 0.4, ¾, 8

Answers

9514 1404 393

Answer:

  -12 m

Step-by-step explanation:

The question is equivalent to asking which of these plotted on a number line is farthest from zero.

Since you have put them in order, you're aware the extremes are -12 and +8. -12 is 12 units from zero, but +8 is only 8 units from zero. An elevation of -12 m is farthest from sea level.

If comparing x^2 to x^3, which value of x gives the greatest difference:x=6,x=8,x=10?

Answers

Answer:

the value of x that gives the greatest difference is 10.

Step-by-step explanation:

Given;

x² and x³

values of x = 6, 8 and 10

When x = 6

6³ - 6² = 216 - 36 = 180

When x = 8

8³ - 8² = 512 - 64 = 448

When x = 10

10³ - 10² = 1000 - 100 = 900

Therefore, the value of x that gives the greatest difference is 10.

decide if the two statements are logically equivalent statements, negations or neither ​

Answers

Answer:

Negations.

Step-by-step explanation:

The first statement is:

p ∧ q

(p and q)

This statement is only true when:

p = true

and

q = true.

And is false in all the other cases.

The other statement is:

¬q ∨ ¬p

(not q or not p)

This statement is only true if at least one of the elements is true, this happens if:

q =false (then ¬q = true)

or

p = false (then ¬p = true)

Then the first statement needs p and q to be true.

The second statement needs at least one of these to be false.

This means that when the first statement is true, the second statement is false.

When the first statement is false, the second one is true.

Then the statements are negations.

PLEASE HELP!! 30 POINTS

Answers

Answer:

I think it is A I did the math but not all the way convinced

Step-by-step explanation:

help pls will give brainliest to correct answer

Answers

D is correct answers
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