A piece of string is 144 inches long. Isabel wants to cut it into 2 pieces so that one piece is five times as long as the other. How long is each piece?

Answers

Answer 1

Answer:

24 inches120 inches

Step-by-step explanation:

The lengths can be found by considering their ratio:

  short : long = 1 : 5

The sum of the ratio units is 1+5 = 6, and the sum of the lengths is 144 inches. That means each "ratio unit" stands for (144 in)/6 = 24 inches of length.

The lengths are ...

  1 : 5 = 24 in : 120 in

The pieces are 24 inches and 120 inches in length.

__

Equivalently, you can let s represent the shorter length. Then 5s is the longer one, and their total is ...

  s +5s = 144

  s = 144/6 = 24

  5s = 5(24) = 120

The lengths are 24 inches and 120 inches.


Related Questions

Find the perimeter of each figure.
6 cm
2 cm
2 cm
6 cm

Answers

Answer:

Assuming that you are listing the length of each side of the figure, we can add the values together.  The perimeter is 16 cm.

Step-by-step explanation:

6+2+2+6=16 cm

dr. orchid has 9 paintings she wants to hang side by side on her wall. (a) in how many ways can she arrange all 9 paintings? show your work. (b) if she only wants to display 4 of the paintings, in how many ways can she choose the paintings she wishes to display? show your work.​

Answers

She can arrange the 9 paintings in 362,880 different ways, and she can select 126 different combinations of 4.

In how many ways can she display the 9 paintings?For the first position, she has 9 options.For the second position, she has 8 options (one is already taken).

And so on for the rest of the positions.

The total number of different combinations is equal to the product between the numbers of options:

C = 9*8*7*6*5*4*3*2*1 = 9! = 362,880

b) This will be given by the combinations of 4 out of 9, or:

C(9, 4), where:

[tex]C(9, 4) = \frac{9!}{(9 - 4)!*4!} = \frac{9*8*7*6}{4*3*2*1} = 126[/tex]

She can select 126 different combinations of 4 paintings.

If you want to learn about combinations:

https://brainly.com/question/11732255

#SPJ1

Find the range: 40, 90, 36, 68, 90, 11, 88, 54

Answers

Answer:

79

Step-by-step explanation:

90-11=79

Answer:

79

Step-by-step explanation:

To find the range, subtract the biggest number and the smallest number. In this case, it would be 90-11 which is 79.

What’s 1+7+6+8+10-12+5+22-4-12+16

Answers

Answer:

The answer to your question is 47

Step-by-step explanation:

You just add and subtract the question the your answer will be 47. Brainly patrol, stop deleting me.

The answer is 72

Step-by-step explanation:

1+7=8

8+6=14

14+8=22

22+10=32

32+12=44

44+5=49

49+22=70

70-4=66

66-12=56

56+16=72

Is the following shape a rectangle? How do you know?

Answers

Answer:

B.Yes,the adjacent sides are perpendicular,and the opposite sides are parallel

Answer:

B. Yes, the opposite sides are perpedicular, and the opposite sides are parallel

Step-by-step explanation:

This is because for a rectangle to be a rectangle, it has to have four sides whose opposite sides are equal (so parallel) and adjacent sides meets at 90° (so perpendicular), both of which this shape is shown to be.

Hope this helps. If you have any further questions, let me know!

- profparis

At noon, there are 700 juniors and 1,100 seniors at a college fair. After 12:00 p.m., 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes.

What is the ratio of juniors to seniors at 2:00 p.m. in fraction form?

Answers

The ratio of juniors to seniors at 2:00 p.m. in fractional form is 43 / 37

What is ratio?

Ratio is a term that is used to compare two or more numbers.

Therefore,

At 12 pm(noon) there are 700 juniors and 1100 seniors at the college fair. After 12:00 pm 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes. Therefore,

The Junior population at 2:00 pm is as follows;

12 pm to 2pm is 120 minutes

Then, 120 / 15 = 8

20 × 8 = 160 students

The junior student increased by 120 by 2pm.

The Senior population at 2:00 pm is as follows;

45 × 8 = 360 students

360 senior student left by 2 pm.

Therefore,

Junior student by 2pm = 700 + 160 = 860 students

Senior student by 2 pm  = 110 - 360 = 740 students

The ratio of juniors to seniors at 2:00 p.m. in fraction form is 860 / 740 = 43 / 37

learn more on ratio here: https://brainly.com/question/20331008

can someone help me ? ​

Answers

Answer:

Make 2 rectangles and find perimeter and then divide by 2.

Step-by-step explanation:

Hope that helps.

What is 85% of 21?
I need to know for school because we're doing this project.

Answers

Answer:

85% of 21 is 17.85.

There are 31 passengers split between 3 cars in the Metrolink. How many passengers per car?

Answers

Answer:

10 passengers in every car

One left he choose the car which he want

explanation:

MAY IT HELP U

Answer:

Since the answer is a decimal we have to state that two cars had 11 passangers while one car had 10 passangers.

Step-by-step explanation:

Step 1:  Determine the unit rate

Passangers per car

Passangers / car

(31 passangers) / (3 cars)

10.333 passangers / car

Answer: Since the answer is a decimal we have to state that two cars had 11 passangers while one car had 10 passangers.

Philippe went to the farmer's market and spent $2.35 on apples, $1.85 on bananas, and $3.10 on blueberries. How much did Phillipe spend in total? (3 points) a $7.30 b $7.55 c $8.30 d $8.55

Answers

Answer:

a. $7.30

Step-by-step explanation:

2.35 + 1.85 + 3.10 = 7.30

Please tell me how to solve for the area cause I thought the formula was ab/2

Answers

Answer:

Step-by-step explanation:

(a). 5.33 m

(b). 41.65 m²

Find the slope of the line that is parallel and perpendicular to the following equation.
-4x - 4y = 16

Answers

Answer:

Slope of the line that is parallel: -1

Slope of the line that is perpendicular: 1

Step-by-step explanation:

For the parallel line:

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

m = slopeb = y-intercept (when x = 0)

-4x - 4y = 16 <== add 4x to both sides

+4x         +4x

-4y = 4x + 16 <== divide both sides by -4

/-4      /-4

y = -x - 4

The slope of the line that is parallel to this line is -1 (invisible 1 in front of x).

For the perpendicular line:

*Perpendicular lines have negative reciprocals*

Steps:

1. Take your original slope (-1)

2. Flip it (-1/1)

3. Change the sign (1)

For a slope of -1, the reciprocal would be: 1

Hope this helps!

-4x-4y=16

Convert to y=mx+b form

-4y=4x+16y=-x-4

Slope:-

m=-1

Parallel lines have equal slope

Perpendicular line's slope=1

At the buffet luncheon guests could choose one meat, one side and one salad. If there were 3 different meats, 7 sides and 4 salads, how many possible combinations would there be?​

Answers

Answer:

i believe that its 84

Step-by-step explanation:


Drag each tile to the correct box. Not all tiles will be used.
The table represents the balance of Sylvia's loan, y, over a period of 24 months, x. She used technology to create the scatter plot shown and
determined the best fit equation to model the data, y=-382.05x +
25,077.40. Determine how long it will take to reach the given balances

Answers

Using the given linear function, it is found that:

The balance will be of approximately $17,000 in month 21.The balance will be of approximately $0 in month 66.

What is the function for the balance?

The balance after x months is modeled by:

y = -382.05x + 25077.4.

Hence, it will be of approximately $17,000 at x for which y = 17000, hence:

17000 = -382.05x + 25077.4

x = (25077.4 - 17000)/382.05

x = 21.

We apply the same logic to find when it will be of approximately 0.

0 = -382.05x + 25077.4

x = (25077.4 - 0)/382.05

x = 66.

More can be learned about linear functions at https://brainly.com/question/24808124

Given that k // I, identify the congruent angles in the
triangles.
212
v
m
22
v
23

Answers

V 23 is the correct answer

hard question help!!!!

Answers

Answer:

A

Step-by-step explanation:

You can do 22/4 and that will give you 5.5. Since A gives the multiply chart for 5.5 to 4, the answer is A

What is the volume of a cone in cubic inches with a radius of 2 inches and a height of 3 inches use 3.14 for pie round your answers to the nearest hundredth

Answers

radius r = 2 in

height h = 3 in

slant height s = 3.60555128 in

volume V = 12.5663706 in3

lateral surface area L = 22.6543468 in2

base surface area B = 12.5663706 in2

total surface area A = 35.2207174 in2

In Terms of Pi π

volume V = 4 π in3

lateral surface area L = 7.21110255 π in2

base surface area B = 4 π in2

total surface area A = 11.2111026 π in2

In the following expression, 6 and -6 are like terms.

6- 6 + 8a

a) True
b) False

Answers

Answer:

no there not

Step-by-step explanation:

6 and 6 are like terms because they have no negative sign but -6 and -6 are like terms because they have a negative sign

If I had a grade of 81 in a mathematics class and earned a 90 on a TEST grade, what would be the grade then be?

Answers

Answer:

It depends how much percent the test is worth on your grade, and how much test grades you have. It would definitely raise to at least an 83 though.

Let's check

Mark before=81Mark after=90

Total

81+90171

Grade

171/285.5

Hello people ~
Sketch the graph for y=cot ^-1 (cot x)

Answers

Answer:

      [tex]\sf y=cot^{-1}(cot(x))[/tex]

[tex]\sf \implies cot(y)=cot(x)[/tex]

[tex]\sf \implies \dfrac{1}{tan(y)}=\dfrac{1}{tan(x)}[/tex]

[tex]\sf \implies tan(x)=tan(y)[/tex]

[tex]\sf \implies y=x[/tex]

[tex]\sf \implies y=x\pm\pi n[/tex]

A mixed economy is dependent only on the choices of individuals and businesses a combination of individual choice and government protection where people produce and trade traditional goods completely based on government decisions

Answers

Answer:

In general, a mixed economy is "a combination of individual choice and government protection," although the balance tends to lean more towards individual choice.

Answer:

a combination of individual choice and government protection

Step-by-step explanation:

Which phrase best describes the translation from the graph y = 2(x - 15)2 + 3 to the graph of y = 2(x - 11)2 + 3?

4 units to the left
4 units to the right
8 units to the left
8 units to the right

Answers

What change has been caused?

y=2(x-15)²+3y=2(x-15+4)²+3y=2(x-11)²+3

Change in x (+4)

Means

translation is 4units left

Option A

Answer:

translate 4 to the left

Step-by-step explanation:

ED 2022

PLEASE HELP !! #24 & #26

Answers

Answer:

Step-by-step explanation:

Sum of exterior angles of any Polygon = 360°

23.  x + 65 + 106 + 78 = 360

                    x  + 249   = 360    

{To find the value of x, subtract 249 from both sides}

                               x    = 360 - 249

                                  x = 111°

_________________________________________

24.  x + x + 59 + 48 + 50 + 39 + 58 = 360

                                       2x + 254   = 360

                                                    2x = 360 - 254

                                                    2x = 106

                                                       x = 106 ÷ 2

                                                       x = 53°

____________________________________________

25. 2x + 3x + 44 +85 + 71 = 360

                         5x + 200  = 360

                                    5x  = 360 - 200

                                     5x = 160

                                       x = 160 ÷ 5

                                       x = 32°

_______________________________________________

26.  x+ 2x + 77 + 40 + 45 = 360

                          3x +  162 = 360

                                    3x  = 360 - 162

                                    3x  = 198

                                      x = 198 ÷ 3

                                     x = 66°

find the length of the missing side.

1) 52 cm
2) 42cm
3) 25 cm
4) 48 cm

Answers

Answer:

52 cm

Step-by-step explanation:

Use the pythagorean theorem to solve for missing sides in a right triangle.

20²+48²= missing side

20²+48²=2704

Take the square root of 2704 to get the missing side.

[tex] \sqrt{2704 } = 52[/tex]

Answer :

52 cm

Explanation :

This is Right Angled Triangle.

Solution :

We'll solve this using the Pythagorean Theorem.

where,

AB (20 cm) is the perpendicular

BC (48 cm) is the Base.

AC is the Hypotenuse.

We know that,

[tex]{\longrightarrow \bf \qquad (AC) {}^{2} = (AB) {}^{2} +( BC) {}^{2} } \\ \\ [/tex]

Now, we will substitute the given values in the formula :

[tex]{\longrightarrow \sf \qquad (AC) {}^{2} = (20) {}^{2} +( 48) {}^{2} } \\ \\ [/tex]

We know that, (20)² = 400 and (48)² = 2304. So,

[tex]{\longrightarrow \sf \qquad (AC) {}^{2} = 400 + 2304 } \\ \\ [/tex]

Now, adding 400 and 2304 we get :

[tex]{\longrightarrow \sf \qquad (AC) {}^{2} = 2704 } \\ \\ [/tex]

Now, we'll take the square root of both sides to remove the square from AC :

[tex]{\longrightarrow \sf \qquad \sqrt{ (AC) {}^{2}} = \sqrt{2704} } \\ \\ [/tex]

When we take the square root of (AC)² , it becomes AC,

[tex]{\longrightarrow \sf \qquad AC = \sqrt{2704} } \\ \\ [/tex]

We know that, square root of 2704 is 52 .

[tex]{\longrightarrow \sf{\pmb{ \qquad AC = 52 }}} \\ \\ [/tex]

So,

The measure of the missing side (AC) is 52 cm .

Find the area of the composite figure.

A: 96.75 units2
B: 112.5 units2
C: 139.5 units2
D: 192

Answers

The area of the composite figure from the image attached is 112.5 units²

What is the area of a composite figure?

The area of a composite figure refers to the sum total of all the areas of the shapes in that composite figure. This can be done by first identifying the shapes in that composite figure, then finding each area, followed by the addition of all the areas to determine the area of the composite figure.

From the given figure; we can break it down into:

A parallelogramA rectangleA triangle

The area of a parallelogram = b × h

where;

b & h refers to the length of the two opposite diagonal lines.

The area of a parallelogram =  9 × 6

The area of a parallelogram = 54 units²

The area of a rectangle = Length × breadth

The area of a rectangle = (9 × 3) units²

The area of a rectangle = 27 units²

The area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times b \times h}[/tex]

where;

Base = b Height = h

The area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times b \times h}[/tex]

The area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times 9 \times 7}[/tex]

The area of the triangle [tex]\mathbf{= 31.5 units^2}[/tex]

Therefore, the area of the composite figure is:

= 54 + 27 + 31.5

= 112.5 units²

Learn more about composite figures here:

https://brainly.com/question/15981553

What is the measurement of < F

Answers

Answer:

Option C - 65°

Step-by-step explanation:

Since the side lengths of this triangle are equal this triangle is an isosceles:

Because the triangle is an isosceles the base angles are equal so

∠G = ∠F = 65°

hello! this is an isosceles triangle, meaning that two sides are congruent.
angle g and angle f are also congruent so angle f is 65 degrees

Fill in the table using this function rule

y=5+4x

please help like u don’t know how many times I’ve posted this :,)

Answers

hello!

Plug in the values of x and solve for y:-

y=5+4x

y=5+4(4)

y=5+16

y=21

________________________________

y=5+4x

y=5+5(5)

y=5+20

y=25

_________________________________

y=5+4x

y=5+4(8)

y=5+32

y=37

___________________________________

y=5+4x

y=5+4(10)

y=5+40

y=45

__________________________________

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

see explanation

Step-by-step explanation:

substitute the values of x from the table into the rule and evaluate for y

x = 4 → y = 5 + 4(4) = 5 + 16 = 21

x = 5 → y = 5 + 4(5) = 5 + 20 = 25

x = 8 → y = 5 + 4(8) = 5 + 32 = 37

x = 10 → y = 5 + 4(10) = 5 + 40 = 45

then

     x   y

    --------

    4   21

    5   27

    8   37

   10   45

What scale factor was used to dilate STUV to S’T’U’V?

A. 0.20
B. 0.50
C. 0.25
D. 0.75

Answers

Answer: C. 0.25

Step-by-step explanation:

Large Shape: S (-4, 12)   T (2, -4)    U (6, -8)   V (-12, -8)

Small Shape: S (-1, 3)   T (0.5, -1)    U (1.5, -2)   V (-3, -2)

For the smaller shape the distance between V and U is 4.5

For the larger shape the distance between V and U is 18

So when you divide [tex]\frac{4.5}{18}[/tex] you should get 0.25

S: [tex]\frac{-4}{-1}=4[/tex]     [tex]-4 *0.25=-1[/tex]

T: [tex]\frac{2}{0.5}=4[/tex]     [tex]2*0.25=0.5[/tex]

U: [tex]\frac{6}{1.5}=4[/tex]     [tex]6*0.25=1.5[/tex]

V: [tex]\frac{-12}{-3} =4[/tex]    [tex]-12*0.25=-3[/tex]

I hope this helps


What is the result of subtracting 4x + 3xy + 2y
from 5x + 3xy + 6y ?
1. x² + 47
x + 4y
8. -X- 4y
-x
C. -X – 4y
-
D. x² + 4y

Answers

D. x + 4y

5x - 4x = x
3xy - 3xy = 0
6y - 2y = 4y

What is the volume of this cube?

Answers

Answer: 1 inc^3

Step-by-step explanation:

V = A^3

Where a = side

V = 1 ^3

V = 1 inch^3

Or in meteres it is 1.6387064e-5

Step-by-step explanation:

HOPE THIS HELPS IF NOT SORRYYYY !!!!!

Other Questions
water evaporates and becomes a gas when from the sun brainliest if it shows how to do all 4 Read the excerpt from "Early Monsoon" in Inside Out and Back Again. In the distancebombsexplode like thunder,slasheslighten the sky,gunfirefalls like rain. How does the figurative language in the excerpt affect the meaning of the text?It shows the intensity of the attacks even though they are far away. It describes the violence of war and of nature as harsh but necessary. It contrasts bombs and gunfire with beautiful elements of nature. It explains that the attacks happen only in the evening when it is dark negative fractions on the number line 1 Any electricity-charged object creates an electric field. Walking across the carpet in wool socks can create an electric charge. This observation is evidence for which characteristics of electrical forces? Which term refers to a nation's transportation and communications networks, power generating facilities, educational institutions, and legal, economic, and financial systems?a. capital stockb. infrastructurec. public sectord. utilitiesWhich statement is not true?a. Price signals distorted by extreme inflation or deflation lead to uncertainty and lower the ability of citizens to make good decisions.b. Countries with relatively large public sector shares in the economy have the highest growth rates in GDP per capita.c. Establishing and protecting property rights are key elements that promote economic growth.d. The legal enforcement of contracts promotes economic growth. I'm going to highschool in 7 weeks and I was wondering how I would be able to get some friends. I think I'm socially awkward and don't know what to talk about Read the passage:Adult sea otters spend more than a third of their day grooming their fur. This isn't for vanity; it's for survival. Unlike most sea mammals, sea otters do not have an inner layer of fat to protect them from the cold waters. These creatures rely on their dense fur instead to protect them from the often freezing temperatures. Sea otters have one of the thickest furs in all of the animal kingdom. An adult sea otter's coat can contain up to 1 billion individual hairs! These hairs form a protective, waterproof layer, which traps air and provides insulation. It is crucial that a sea otter's fur is kept clean to maintain this insulating layer between the water and their skin.Select the best text feature to support the passage. An animation of a sea otter eating a clam An interactive mind map with information about different tools that sea otters use A pie chart showing how many different animals are located in the Pacific Ocean A video showing how sea otters clean their fur please help me answer this question!!!! What is the answer? How much did sharecroppersgenerally earn working on someoneelse's farm?I in your opinion could a butterfly be an offspring of an ant? explain. GIVING BRAINLIEST!! need this rlly soon thank you so much! Pls help me look at the picture for the question pls Think about the Article. Why did Civil War soldiers playbaseball?A. Baseball was a popular game in America.B. Soldiers got bored during their free time.C. Soldiers already had baseball equipment.D. Baseball was part of training for battles.SUBMIT For which value of theta is sine theta = negative 1?A unit circle is shown. A radius with length 1 forms angle theta in the first quadrant.StartFraction pi Over 2 EndFractionPiStartFraction 3 pi Over 2 EndFraction2 pior (A.K.A)For which value of is sin = -1?A. /2B. C. 3/2D. 2 Solve the problem.Two cylindrical cans of beef stew sell for the same price. One can has a diameter of 6 inches and aheight of 4 inches. The other has a diameter of 4 inches and a height of 6 inches. Which can containsmore stew and is therefore, a better buy? Most water is reabsorbed from the filtrate by which region of the nephron?. describe the most caring thing that a person has done for you D. Calculate the electric force (F.) between an electron andproton that are 5.29 x 10-11 meters apart.