A rope 24m long is dividend into three pieces in the ratio 2:1:5. the length of the shortest piece is

Answers

Answer 1

well, let's simply divide the total of 24 by (2 + 1 + 5) and then distribute accordingly to each ratio.

[tex]2 ~~ : ~~ 1 ~~: ~~ 5\implies 2\cdot \cfrac{24}{2+1+5}~~ : ~~ 1\cdot \cfrac{24}{2+1+5} ~~: ~~ 5\cdot \cfrac{24}{2+1+5} \\\\\\ 2 \cdot \cfrac{24}{8}~~ : ~~ 1 \cdot \cfrac{24}{8}~~: ~~ 5\cdot \cfrac{24}{8}\implies 2(3)~~ : ~~ 1(3) ~~: ~~ 5(3)\implies 6:\stackrel{\stackrel{shortest}{\downarrow }}{3}:15[/tex]


Related Questions

find the volume to the nearest tenth

Answers

791.7 yard3 i think

Draw a picture to show the value of 5 x (3 + 7)









How many times as big is 5 x (3 + 7) as (3 + 7)? How do you know?

Answers

If we do 3 + 7 the first one it would 10 and the other one is also 10 so if we add 10+10 is would equal to 20 and if we do 20 x 5 it would 100. Your answer would be 100

What is the median of this data set? A. 56 B. 75 C. 45 D. 61


ASAP 55POINT

Answers

Answer:

ok soo

Step-by-step explanation:

45, 56, 61, 75

middle of 56 and 61 add them so 117 then half 117 which is 58.5-

Find the value of x.
Round to the nearest tenth.
B
29
26
X
Α'
C
50
x = [?]°
Law of Cosines: c² = a² + b² - 2ab cos C
Please Help

Answers

The measure of the missing angle x is 23.22 degrees

Cosine rule

The expression for representing cosine rule is expressed as:

c² = a² + b² - 2ab cos C

Given the following parameters

a = 26

b = 50

c = 29

Substitute

c² = a² + b² - 2ab cos C

29² = 26² + 50² - 2(26)(50) cos C

841 = 676 + 2500 - 2600cosC

2335 =2600cos C
cos C = 2335/2660

C = 23.22 degrees

Hence the measure of the missing angle x is 23.22 degrees

Learn more on cosine rule here: https://brainly.com/question/23720007

#SPJ1

Answer:

23.2 is the correct answer given you need to round to the nearest tenth.

HELP PLEASE I WILL MARK BRAINLIEST

Answers

(x,y) to (x,-y). As the triangle is reflected across the x axis, the x value stays the same. Being reflected, the y value is reversed (from negative to positive because the shape is going from below to above)
Hope that made sense

Amy and alexis share a pizza. amy eats 4/9 and alexis eats 5/12 how much of the pizza is left ? give you answer in the simplest form.

Answers

Exact Form:

5

27

Decimal Form:

0.

¯¯¯¯¯¯

185

i hope this helps please have a nice day/night

Answer:

Exact Form:

5

27

Decimal Form:

0.

¯¯¯¯¯¯

185

i hope this helps please have a nice day/night

Step-by-step explanation:

Smita types 5400 words per hour. How many words does she type per minute?

Answers

Answer:

here we have to divide the number of words per hour to the number of minutes per hour.

Step-by-step explanation:

5400÷60

=90.

therefore in a minute she types 90 words.

HOPE IT HELPS.BRAINLIEST

Sean operates a lawn-cutting business. He charges $15 for a single lawn and $25 for a front and back lawn. Sean made $475 from 25 customers.

Write a system of equations

Answers

The system of equations that models the given situation is given as follows:

x + y = 25.15x + 25y = 475.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

Variable x: Number of single lawns cut.Variable y: Number of front and back lawns cut.

He had 25 customers, hence:

x + y = 25.

He charges $15 for a single lawn and $25 for a front and back lawn, and made a total of $475, hence:

15x + 25y = 475

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

A glass marble has a diameter of 18 millimeters. What is the approximate volume of the marble? Use 3.14 for .
A.
3,052.08 cubic millimeters
B.
1,356.48 cubic millimeters
C.
24,416.64 cubic millimeters
D.
339.12 cubic millimeters

Answers

The volume of the sphere is 3,052.08 cubic millimeters. The correct answer is A.

What is the volume of sphere?

If the given sphere is of radius r units, then its volume is given as:

[tex]V= \dfrac{4}{3} \pi r^3 \: \rm unit^3[/tex]

A glass marble has a diameter of 18 millimeters.

The radius is 9

[tex]V= \dfrac{4}{3} (3.14) (9)^3 \: \rm unit^3\\\\V = 3,052.08 cubic millimeters[/tex]

The volume of the sphere is 3,052.08 cubic millimeters. The correct answer is A.

Learn more about the volume of a sphere here:

https://brainly.com/question/381274

#SPJ1

Please help
Find f(f(x))
f(x)=x^2

Answers

f(f(x)) = x^4.

We know f(x) = x^2, which can be substituted into f(f(x)) like this: f(x^2) = (x^2)^2.

—Using the exponent rule, multiply the powers 2*2=4.
(x^2)^2 = x^4.

4 3/5 - 2 5/6
[four and three fifths minus two and five sixths]
(I got 2 and 7 thirtieths but my teacher had 1 and 23 thirtieths, help?]

Answers

Hey there!

4 3/5 - 2 5/6

= 23/5 - 17/6

= 53/30

≈ 1 23/30


Therefore, the answer should be:

53/30

OR

1 23/30

(Either should work because they are equivalent to each other)


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

Value of the given mixed fraction [tex]4\frac{3}{5} -2\frac{5}{6}[/tex] is equals to [tex]1\frac{23}{30}[/tex] .

What is mixed fraction?

" Mixed fraction is defined as the fraction representing whole fraction along   with the quotient and remainder."

Convert mixed fraction into improper fraction

[tex]m\frac{p}{q} = \frac{q*m+p}{q}[/tex]

According to the question,

Given mixed fraction,

   [tex]4\frac{3}{5} -2\frac{5}{6}[/tex]

Convert mixed fraction into improper fraction we get,

[tex]=\frac{23}{5} -\frac{17}{6} \\\\=\frac{138-85}{30} \\\\=\frac{53}{30}\\ \\= 1\frac{23}{30}[/tex]

Hence, value of the given mixed fraction [tex]4\frac{3}{5} -2\frac{5}{6}[/tex] is equals to [tex]1\frac{23}{30}[/tex] .

Learn more about mixed fraction here

https://brainly.com/question/24901550

#SPJ2

a straight line has gradient -2 and passes through the point (-3 , 10).
work out the equation of the line
give your answer in the form y=mx+c​

Answers

Answer:

y = 4 - 2x

Step-by-step explanation:

That is the formula, in y = a + mx but it you want it in y = mx+c, it is y = -2x + 4

Solve-2x6x + 9.
A. x > -3
B. x < -5
OC. x>-5
D. x <-3

Answers

Step-by-step explanation:

please mark me as brainlest

Simplify the following expression:
(x+3)-[(x+2)(x³ - 1)]
O A. - x4 - 2x - x+2
OB. -x-2x³ +2x+5
OC. --2x³ +1
OD. -x-2x²+2x+5

Answers

Simplification form of the provided expression is -x⁴-2x³+2x+5 option (B) is correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

The options are:

A) -x⁴ - 2x - x + 2

B) -x⁴ - 2x³ + 2x + 5

C) -2x³ + 1

D) -x - 2x² + 2x + 5

We have an expression:

= (x + 3) - [(x + 2)(x³ - 1)]

[tex]\rm =x+3-\left(x+2\right)\left(x^3-1\right)[/tex]

[tex]\rm =x+3-x^4+x-2x^3+2[/tex]

[tex]\rm =-x^4-2x^3+2x+3+2[/tex]

[tex]\rm =-x^4-2x^3+2x+5[/tex]

Thus, simplification form of the provided expression is -x⁴-2x³+2x+5 option (B) is correct.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ1

Please Help I Don't Understand!

Answers

The value of x is 8 from the diagram given.

How do you calculate the sides of similar triangles?

The corresponding sides of a similar triangle are said to be in proportion if and only if the corresponding angle are also equal.

To calculate the side of line x (|x|), we have to determine the ratios of the corresponding sides as:

[tex]\mathbf{\dfrac{BC}{DC} = \dfrac{AC}{EC}}[/tex]

[tex]\mathbf{\dfrac{x}{10} = \dfrac{12}{15}}[/tex]

x = 120/15

x = 8

Therefore, we can conclude that the value of x is 8.

Learn more about calculating similar triangles here:
https://brainly.com/question/11899908

#SPJ1

At what distance above the ground was the shot fired? Show your work.

Answers

Answer:

51.63 ft

Step-by-step explanation:

Tangent 25 = opposite / adjacent

tan 25 = height/100

Height = 100 tan 25 = 46.63 feet ABOVE the head of the victim

victim head height = 5 ft

46.63 + 5 = 51.63 ft

What is the volume of this sphere?
Use ≈ 3.14 and round your answer to the nearest
hundredth.
10 m
cubic meters

Answers

Step-by-step explanation:

volume of a sphere is given by 4/3 × pi × r³

hence, the answer is 523.33

comment if you have any doubts

Answer:   523.33

Work Shown:

[tex]V = (4/3)*\pi*r^3\\\\V \approx (4/3)*3.14*5^3\\\\V \approx 523.33\\\\[/tex]

match each pair of rational numbers with their sum

Answers

The matched pair of rational numbers are as follows;

[tex]\frac{-2}{a^{2}b }+\frac{2}{ab^{2} } = \frac{2(a-b)}{a^{2}b^{2} }[/tex]

[tex]\frac{1}{2ab} +\frac{-1}{4a^{2} b^{2} } =\frac{2ab-1}{4a^{2}b^{2} }[/tex]

[tex]\frac{2}{a^{2} b^{3} } +\frac{-2}{ab} =\frac{2(1-ab^{2} )}{a^{2} b^{3} }[/tex]

[tex]\frac{1}{ab^{3} } +\frac{-1}{a^{2} b} =\frac{a-b^{2} }{a^{2}b^{3} }[/tex]

How to simplify rational numbers?

The matched pair of rational numbers are as follows:

[tex]\frac{-2}{a^{2}b }+\frac{2}{ab^{2} } = \frac{-2b+2a}{a^{2} b^{2} } = \frac{2(a-b)}{a^{2}b^{2} }[/tex]

[tex]\frac{1}{2ab} +\frac{-1}{4a^{2} b^{2} } =\frac{2ab-1}{4a^{2}b^{2} }[/tex]

[tex]\frac{2}{a^{2} b^{3} } +\frac{-2}{ab} =\frac{2 - 2ab^{2} }{a^{2}b^{3} } =\frac{2(1-ab^{2} )}{a^{2} b^{3} }[/tex]

[tex]\frac{1}{ab^{3} } +\frac{-1}{a^{2} b} =\frac{a-b^{2} }{a^{2}b^{3} }[/tex]

learn more on rational numbers here: brainly.com/question/12512979

#SPJ1

Connie Nardelli rents a car for $27 per day. The total cost is a function of the number of days she rents the car. How much will she pay for an 8-day rental? Write an equation for the function. Describe the domain and range of the function. Solve the problem.

Answers

The equation is y = 27x. The amount she pays for an 8-day rental will be $ 216. Then the domain and range will be (0, ∞) and (0, ∞).

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Connie Nardelli rents a car for $27 per day.

The total cost is a function of the number of days she rents the car.

Let x be the number of days ad y be the total rent cost.

Then the equation will be

y = 27x

The amount she pays for an 8-day rental will be

y = 27 × 8

y = 216

The domain and range will be (0, ∞) and (0, ∞).

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

The slope of a line is 3. The y intercept of the same line is -12
Complete the slope intercept form equation

Answers

Answer:

y = 3x - 12

Step-by-step explanation:

Forming the slope-intercept equation :

y = mx + b

m = slopeb = y-intercept

Substitute m = 3 and b = -12 in the equation :

y = 3x - 12

Answer:

y = 3x - 12

Step-by-step explanation:

The slope intercept form of a line is y = mx + b, where m is the slope and b is the y intercept. Here, m = 3 and b = -12. Therefore, the slope intercept form for this line is y = 3x - 12.

What is (f−g)(x)?



f(x)=x^3−3x^2+2x−3

g(x)=4x^2−5x+7



Enter your answer in the box.

(f−g)(x)=

Answers

Answer:

[tex]\large\boxed{\sf x^3 - 7x^2 + 7x - 10}[/tex]

Explanation:

Given:

(a) f(x) = x³ - 3x² + 2x - 3

(b) g(x) = 4x²- 5x + 7

Solve for (f - g)(x) = f(x) - g(x) :

⇒ x³ - 3x² + 2x - 3 - (4x²- 5x + 7)

distribute inside parenthesis

⇒ x³ - 3x² + 2x - 3 - 4x² + 5x - 7

group the variables

⇒ x³ - 3x² - 4x² + 2x + 5x - 3 - 7

add or subtract variables

⇒ x³ - 7x² + 7x - 10

Answer:

x³ - 7x² + 7x - 10

Step-by-step explanation:

Subtracting functions: (f - g)(x) is equivalent to f(x) - g(x)

Given:

f(x) = x³ - 3x² + 2x - 3g(x) = 4x² - 5x + 7

Simplify:

(x³ - 3x² + 2x - 3) - (4x² - 5x + 7)

(x³ - 3x² + 2x - 3) - (4x²) + - (- 5x) - (7)

x³ - 3x² + 2x - 3 - 4x² + 5x - 7

x³ - 3x² - 4x² +2x + 5x - 3 - 7

x³ - 7x² + 7x - 10

Learn more about subtracting functions here:

brainly.com/question/27801057

brainly.com/question/12122417

Please Help I Don't Understand

Answers

Answer:

90

Step-by-step explanation:

The angles are on either side of the line are in proportion.

Hence,

⇒ [tex]\frac{10}{8} = \frac{x}{72}[/tex]

⇒ [tex]\frac{5}{4} = \frac{x}{72}[/tex]

⇒ [tex]x = \frac{5 \times 72}{4}[/tex]

⇒ [tex]x = 5 \times 18[/tex]

⇒ x = 90

Let's see

[tex]\\ \rm\Rrightarrow \dfrac{8}{10}=\dfrac{72}{x}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{4}{5}=\dfrac{72}{x}[/tex]

[tex]\\ \rm\Rrightarrow 4x=360[/tex]

[tex]\\ \rm\Rrightarrow x=90[/tex]

A square has a side length 9 cm.
What is its area?

Answers

area of square = s×s

9×9

81cm²

hope it helps...!!!

Answer:

81 cm^2

Step-by-step explanation:

A square is a 2d shape with side lengths all the same.

To find the area, all you need is one side length, which is 9cm in this case.

Then you just square the number (9 x 9) to get 81 cm^2 (centimetre squared).

Solve the system.
3x + 4y = 7
2x-y=1
What does x and y equal

Answers

Answer:

x=1 y=1

Step-by-step explanation:

Let's use the elimination method.
3x+4y=7
2x-y = 1 (multiply both sides by 4)
8x-4y=4
3x+4y=7

(add both equations together)
11x=11
x=1
Plug x=1 into either of the equations
2(1) - y=1
2-y=1
2=1+y
y=1

find an equation of the circle that has center (-5, 0) and passes through (4, -6).

PLEASE HELP !!!!

Answers

Answer:

[tex](x+5)^2+y^2=117[/tex]

Step-by-step explanation:

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

(where (a, b) is the center and r is the radius)

Given:

center = (-5, 0)

[tex]\implies (x-(-5))^2+(y-0)^2=r^2[/tex]

[tex]\implies (x+5)^2+y^2=r^2[/tex]

To find r², input the coordinates of the given point (4, -6) into the equation:

[tex]\implies (4+5)^2+(-6)^2=r^2[/tex]

[tex]\implies 81+36=r^2[/tex]

[tex]\implies r^2=117[/tex]

Therefore, the equation of the circle is:

[tex]\implies (x+5)^2+y^2=117[/tex]

Answer:

Standard form = (x + 5)² + y² = 117

General Form = x² + 10x + y² - 92 = 0

Explanation:

(x - h)² + (y - k)² = r²

center: (h, k)

Find radius using:

[tex]\sf Distance \ between \ two \ points = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

[tex]\rightarrow \sf radius : \sqrt{(-5-4)^+(0-(-6))^2} \ = \ 3\sqrt{13} \ \ units[/tex]

Find equation inserting values:   Given center: (-5, 0)

⇒ (x - (-5))² + (y - 0)² = (3√13)²

⇒ (x + 5)² + y² = 117

⇒ x² + 10x + 25 + y² - 117 = 0

⇒ x² + 10x + y² - 92 = 0

A pumpkin farmer collects 20 pumpkins randomly sampled from his pumpkin patch and weighs them. the mean
weight of the pumpkins is 26 lb. he wonders whether the weight of his pumpkins follows a normal distribution.
which answers are clear signs that the pumpkin weights are not normally distributed?
select all that apply.
the median pumpkin weight is 26 lb.
the median pumpkin weight is 35 lb.
75% of pumpkins in the sample have weights higher than the me
mean.
the median pumpkin weight is 10 lb.
about 68% of pumpkin weights are within one standard deviation of the mean.

Answers

The true statement about the pumpkin include:

the median pumpkin weight is 10 lbthe median pumpkin weight is 35 lb75% of pumpkins in the sample have weights higher than the mean.

What is a median?

The median is a value or quantity lying at the midpoint of a frequency distribution of observed values or quantities.

Here, the median pumpkin weight is 35 lb and 75% of pumpkins in the sample have weights higher than the mean.

Learn more about median on:

https://brainly.com/question/26151333

#SPJ1

three numbers are in the ratio 1:3:5 and their sum is 270. find the largest number.

Answers

Answer:

150

Step-by-step explanation:

Let :

⇒ The numbers can be denoted as x, 3x, and 5x

=============================================================

Solving :

⇒ It mentions their sum is 270

⇒ x + 3x + 5x = 270

⇒ 9x = 270

⇒ x = 30

=============================================================

Largest number :

⇒ 5x

⇒ 5(30)

150

Answer :

Largest number is 150.

Step by step explaination :

Here we have been given with the ratio of three numbers that is 1 : 3 : 5. So let us assume a common factor for them , we are assuming it as y.

Therefore,

First number = 1 → 1 × y = 1y Second number = 3 → 3 × y = 3yThird number = 5 → 5 × y = 5y

Sum of them is 270 :

>> 1y + 3y + 5y = 270

>> 4y + 5y = 270

>> 9y = 270

>> y = 270 / 9

>> y = 90 / 3

>> y = 30

Henceforth, value of y is 30.

Finding out first number :-

>> First number = 1y

>> First number = 1 × 30

>> First number = 30

★ Finding out second number :-

>> Second number = 3y

>> Second number = 3 × 30

>> Second number = 90

★ Finding out third number :-

>> Third number = 5y

>> Third number = 5 × 30

>> Third number = 150

PLEASE HELP WITH THE PHOTO LINKED IM REALY BAD AT NEGATIVE NUMBERS!!!

Answers

Answer:

B

Step-by-step explanation:

When you have a double negative (ie. 5 -(-10)) they cancel eachother out and become a plus. If you have + and - together, its always a minus, if you have + and + or - and -, its always plus.

Since in 4-(-3), the two minuses cancel each other out and become a plus, you move 3 to the right, since right is the positive direction.

subtracting a negative number changes the equation to an addition.

4 -(-3) becomes 4 + 3 = 7


you would start at 4 and move 3 places to the right.


the answer is B.


On a piece of paper, draw a box plot to represent the data.
Then determine which answer choice matches the box plot
you drew.
12, 14, 17, 23, 25, 30, 32, 37, 38, 40, 41

Answers

B is the correct answer.
You have to find the median, lower quartile and upper quartile.

Leah's family took a road trip to Mount Rushmore. Leah fell asleep 44% of the way through the trip. If Leah fell asleep after they had travelled 132 miles, what was the total length of the trip?

Answers

Answer:190.08 milesStep-by-step explanation:

How you do it is add the 44% of 132 to 132 (132 + (132×44%))

First you have to find out how much 44% is. Change it into decimal form (0.44) and then multiply the two together. 132 × 0.44 is 58.08 miles. Then you add that to the rest of the trip, 132 miles. (132 + 58/08 is 190.08)

Other Questions
did taiwan sign the comprehensive test ban treaty? Exposure to even small amounts of radiation may cause *URGENT 20 POINTS*If the area of a regular 12-gon is 2,004 meters^2, what is the length of one of the sides? Please show how you figured this out as well. As you read, decide which party would make each statement below. 1. The government should help the poor by cutting taxes and improt ing the economy. 2. The government should help the poor by improts ing public edu cation and providing jobs. Regina and juan have been dating for six months. they have shared much personal information with each other and have started using pet names to refer to one another. which stage are they in at this point in their relationship? What of the following phrases describes money?OA. A form of communicationOB. A system of investmentOC. A storehouse of valueOD. A way to control the government What is the only letter of the english alphabet that does not appear in any us state name?. 2x^-3 y^-2 4xy^5 This table represents a proportional relationship between x and y.X2.53.252.73.512.93.773.14.03What is the constant of proportionality?Enter your answer as a decimal in the box. A record of a particular event told by someone who witnessed it is a(n)A. essayB. articleC. autobiographyD. personal account Write a poem at least 10 lines that makes a comparison between life and something elseConsider using the following: a sport, a staircase or other pathway, a geographical feature, an animal, etc. Poem must be a minimum of 10 lines. Why we need to remove seeds from cotton balls? Write a three letter word thats a color The diameter of a cylinder is 4 centimeters. The height is 12 centimeters. Using 3.14 for pi, what is the volume of the cylinder, in cm3 Rounded to the nearest hundredth. How many esters with the molecular formula CHO can be made by reacting a primary alcohol with a carboxylic acid? A 4 B 5 C6 D 8 Leticia simplified an expression. Her work is shown below. 4.5 divided by one-fourth + 2 and one-half minus 0.75 times 8Step 1 18 + 2 and one-half minus 0.75 times 8Step 2 18 + 1.75 times 8Step 3 18 + 14Step 4 32Where did Leticia make her first mistake?step 1step 2step 3step 4 Realizing that they could do more if they banded together, groups of the Richmond Unionists began to organize. As Van Lew built stronger relationships with wounded soldiers, the Unionists made plans to hide Union soldiers who escaped from Libby Prison. In fact, the Van Lew mansion became a primary safe house, a place where escaped prisoners would be hidden and cared for. Elizabeth, her mother, and their servants did all they could to prepare the escaped soldiers for the treacherous journey behind enemy lines as they attempted to rejoin their fellow soldiers. The Unionists well understood that every escapee was a potential source of valuable military intelligence, and they made certain that each soldier was debriefed before starting back to the Union lines.This paragraph is mainly about how The means and mean absolute deviations of Sidneys and Phils grades are shown in the table below which expression represents the ratio of the difference of the two means to Sidneys mean absolute deviation 20 points!!! Which of the following functions represent the graph of? Question and answers linked below, thank you! PLEASE HELP ASAP!!! Which of the ten groups show at least one 8th grader?A. 3, 7, 8, 10B. 4C. 1, 2, 5, 7, 8, 10D. 1, 3, 4, 5, 6, 7, 8, 10