Divide a 6 and 3/4 inch line into three parts so that each part is 1/4 inch shorter than the one before it.

Answers

Answer 1

Answer:

Hey there!

x+x+1/4+x+2/4

3x+0.75=6.75

3x=6

x=2

The lines are 2, 2 1/4, and 2 2/4.

Let me know if this helps :)

Answer 2

The three numbers or parts are 2 , 2 1/4 and 2 1/2

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be n = 6 3/4

Now , for the number to be divided into three parts where each number is 1/4 shorter than the one before it ,

Let the first divided number be = x

So , the second number will be 1/4 more than the first number

Second number = x + 1/4

And , the third number will be 1/4 more than the second number

Third number = x + 1/4 + 1/4

                       = x + 2/4

                       = x + 1/2

Now, the equation will be

The sum of all three numbers = 6 3/4

So ,

x + ( x + 1/4 ) + ( x + 1/2 ) = 6 3/4

3x + 3/4 = 6 3/4

Subtracting 3/4 on both sides , we get

3x = 6

x = 2

Substituting the values of x in the equation , we get

First number = 2

Second number = 2 1/4

Third number = 2 1/2

Hence , the three numbers or parts are 2 , 2 1/4 and 2 1/2

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Related Questions

the length and breadth of a hall is two times its breadth and the breadth is two times its height if the cost of papering its wall at rs 25 per sq metre is rs 10800 find the cost of paving marbles on its floor at rs 250 per sq metre
any help pleaseeeee​

Answers

Answer:

Rs 11250

Step By Step Explanation:

 Because by increasing rs 225 in sq .m . You have to increase 225*2=450 in amount

10800+450 = 11250

Answer From Gauth Math

Answer:

mathematics photography

Find four rational number between 1/4 and 2/3.

Answers

Answer:

4/12, 5/12, 6/12, 7/12

Step-by-step explanation:

1/4 x 3/3 = 3/12

2/3 x 4/4 = 8/12

between 3/12 and 8/12

4/12, 5/12, 6/12, 7/12

you can simplify these if you wish

Hope that helped!!! k

Find the perimeter of rectangle whose length is 40 and the diagonal is 41 cm

Answers

Answer:

             P = 98 cm

Step-by-step explanation:

Given one side and diagonal of rectangle we can use Pythagorean theorem to calculate the other side of it.

[tex]L=40\, cm\\D=41\,cm\\W=\ ?\\\\W^2+L^2=D^2\\\\W^2+40^2=41^2\\\\W^2+1600=1681\\\\W^2=81\\\\W=9[/tex]

Perimeter:

P = 2W + 2L = 2•40 + 2•9 = 80 + 18 = 98

A study of parents of kindergarteners included 349 parents who were chosen at
random. Of these parents, 47% said they sent their children to pre-kindergarten. School
records show that only 31% of parents of kindergarteners sent their children to pre-
kindergarten. Identify the statistic and the parameter.
Three hundred forty-nine is the parameter and 47% is the statistic.
Three hundred forty-nine is the statistic and 47% is the parameter.
Three hundred forty-nine is the parameter and 31% is the statistic
Forty-seven percent is the parameter and 31% is the statistic
Forty-seven percent is the statistic and 31% is the parameter

Answers

Answer:

Forty-seven percent is the statistic and 31% is the parameter

Step-by-step explanation:

Various terms are used in mathematics when it comes to carrying out particular studies in statistics.

A) Parameter

A parameter when is comes to statistical studies can be defined as the term that tells us more about a group or population of people.

B) Statistic

Statistic is a measure that tells us about is a characteristic of a sample or part of a given population.

In the above question, we are told that: a study of parents of kindergarteners included 349 parents who were chosen at random. Of these parents, 47% said they sent their children to pre-kindergarten. School records show that only 31% of parents of kindergarteners sent their children to pre- kindergarten.

According to the definition of Parameter and Statistic that I explained above,

A) The Parameter is 31% . This is

because it tell us about percentage ( a sample) of parents whose children are in kindergarten that sent their children to prekindergarten first.

B) The Statistic is 47% . This is because, it tell us about the percentage of parents that sent their children to prekindergarten.

A zucchini plant in Darnell’s garden was 10 centimeters tall when it was first planted. Since then, it has grown approximately 0.5 centimeter per day. a. Write a rule to describe the function. b. After how many days will the zucchini plant be 18.5 centimeters tall?

Answers

Answer:The number of days it will grow to be 18.5 cm tall is 17 days.

Step-by-step explanation:

To find how many days it will grow until it reaches 18.5 centimeters, first find the difference of the new height by the old height.

So= 18.5-10= 8.5cm

8.5 is the centimeters it needs to grow to be 18.5 cm tall.

Then, divide it by the number of centimeters it will grow in one day, which is 0.5, to find the days it grew 8.5 cm.

So= 8.5÷0.5= 17

I hope this helps! Ask me if you're confused.

Stevens works at a large home appliance store . He earns a base salary of $20,000 plus commission which can be modeled by the equation y = 0.1x + 20,000. What is the meaning of the y-intercept in the equation ?

Answers

Answer:

it is b or 20,000 or it is the base salary, you can put all 3 to be safe since they are all technichaly the same.

Step-by-step explanation:

so y=mx+B is the equation right here m the slope which is rise over run or y/x=.1 and B is the y inercept and 20,000 it is the starting point on the graph. where it overlaps with the y axis, in this case 20,000 which as it says earlier is his base salary


Two angles form a
linear pair. The
measure of one
angle is three times
the measure of the
other. Find the
measure of each

Answers

Answer:

45° and 135°

Step-by-step explanation:

A linear pair of angles sum to 180°

let one angle be x , then the other is 3x ( 3 times the other ), thus

x + 3x = 180

4x = 180 ( divide both sides by 4 )

x = 45

Thus the 2 angles are

x = 45° and 3x = 3 × 45° = 135°

The measure of two angles are 135 and 45 degrees if the two angles form a linear pair. The measure of one angle is three times the measure of the other.

What is an angle?

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

It is given that:

Two angles form a linear pair. The measure of one angle is three times the measure of the other.

As we know,

If two angles form a linear pair it means the angle made by the pair is 180 degrees

Let the two angles are x and y

x + y = 180

x = 3y  (one angle is three times the measure of the other)

Solving the two linear equations in two variable:

3y + y = 180

4y = 180

y = 180/4

y = 45 degrees

x = 3(45) = 135 degrees

Thus, the measure of two angles are 135 and 45 degrees if the two angles form a linear pair. The measure of one angle is three times the measure of the other.

Learn more about the angle here:

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A book cost Rs.950 is sold for Rs 980. find profit/loss%​

Answers

Answer:

96.94%

Step-by-step explanation:

Steps to solve "what percent is 950 of 980?" If you are using a calculator, simply enter 950÷980×100 which will give you 96.94 as the answer.

Answer:

96.94%

Step-by-step explanation:

Hi can someone help me with these 3 questions. Thanks :)

Answers

Answer:

a) 45° cause tan = sin/cos and sin 45 and cos 45 both give square root 2/2

b) 120°

c) sin = -1/2 = -30° or 330° both are same

Use the trig circle which i have included in the answer to better understand trig angles

hope that answers your question

I want to let you know that each angle has sets of coordinates the left number is cos and right is sin. Ex) sin of 30 is 1/2 and cos of 30 is square root 3/2 In case you dont fully understand dont hesitate to comment.

good luck!!

Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a function of time, x, in seconds. What is the maximum height the ball reaches?

Answers

Answer:

The maximum height the ball reaches is 64 feet

Step-by-step explanation:

The given function is f(x) = -16·(x - 2)² + 64

From the equation, the path described by the ball is an inverted n-shaped parabola

The maximum height is therefore, the tip of the parabola

At the maximum height, the slope = 0 because the tip is momentarily flat

Since the slope (y₂ - y₁)/(x₂ - x₁)  = The derivative Δy/Δx, we find the derivative of the function and equate it to zero to find the coordinates at the  maximum height

Δy/Δx = dy/dx = d(-16·(x - 2)² + 64)/dx = -32·(x - 2) = -32·x + 64

To check if it is a maximum, we have;

d²y/dx² = d(-32·x + 64)/dx = -32 which is negative, indicating that the slope is reducing and we at the maximum point of the slope

Therefore for the maximum height Δy/Δx = dy/dx = -32·x + 64 = 0

64 = 32·x

x = 64/32 = 2 seconds

We now have the x-value at the slope, the f(x) value, is therefore;

f(2) = -16·(2 - 2)² + 64 = 64 feet

Therefore, the maximum height the ball reaches is 64 feet.

Answer:

D: 6

Step-by-step explanation:

I got it right on the test Edge nuity

Z varies directly as x/y² and y varies inversely as x,if z=⅓ when x =2 and y=¼. Express (a). Y interms of x and (b). Z interms of x

Answers

Bhjhbjhjhbkhtdttf3345

Answer:

Baba

Step-by-step explanation:

Booey

Mildred’s salary has increased from £24,600 to £25,338. By what percentage has her salary increase?

Answers

Answer:

The answer is 3%

Step-by-step explanation:

To find the percentage increase we use the formula

[tex]Percentage \: change = \frac{ change}{original \: quantity} \times 100[/tex]

To find the change subtract the smaller quantity from the bigger one

From the question

original price = $24,600

Current price = $ 25,338

Change = $25,338 - $ 24,600

Change = $ 738

So the percentage increase is

[tex] \frac{738}{24600} \times 100[/tex]

[tex] = \frac{3}{100} \times 100[/tex]

We have the final answer as

Percentage increase = 3%

Hope this helps you

another one another one...........

Answers

Answer:

B

Hope it helped you out

Tysm

The table shows the number of balls, by sport, in the gym. Select the true statements about the information in the table.

Answers

Answer:

Soccer you use the lease amount of balls and in tennis you use the most

What is the equation of a parabola that has a vertical axis passes through the point (-1,3) and has its vertex (3,2)

Answers

Answer:

Standard Form: y = 0.0625x²-0.375x+2.5625    

Graphing Form: y = (1/16)(x-3)²+2    

Step-by-step explanation:

What is the value of the expression below when w = 6 and x = 2?
9w + 9x​

Answers

put 6 instead of w and 2 instead of x
9(6)+ 9(2)
54+ 18
= 72
STEPS:
First add 6 into the w and 2 into the x.
You end up getting 9(6)+9(2). Then you fo 9x6 and 9x2. You get 54 and 18. Then you add them to get 72.
ANSWER:
72


How many solutions exist for the given equation?
3(x-2)=22-x
O zero
Oone
Otwo
Oinfinitely many

Answers

Answer:

one solution

Step-by-step explanation:

3(x-2)=22-x

Distribute

3x -6 = 22-x

Add x to each side

3x-6+x = 22-x+x

4x-6 =22

Add 6 to each side

4x-6+6 = 22+6

4x = 28

Divide by 4

4x/4 = 28/4

x = 7

There is one solution

Answer:

It has only one solution

Step-by-step explanation:

[tex]3(x - 2) = 22 - x [/tex]

open the brackets:

[tex]3x - 6 = 22 - x[/tex]

collect like terms together:

[tex]3x + x = 22 + 6[/tex]

then solve:

[tex]4x = 28 \\ x = \frac{28}{4} \\ \\ x = 7[/tex]

Simplify 4^2+6(.5)-2^

Please show step by step :)


———————

Simplify 10- (15/5+4)

Please show step by step :)

Answers

Following PEMDAS

Step 1: 16+6(.5)-8
Step 2:16+3-8
Step3: 19-8
Step 4:=8

————

Step 1: 10-(3+4)
Step 2: 10-(7)
Step3: =3

Answer:

4^2 + 6(5)-2^3

16+30-8

38

An emu that measures 45 inches in height is 60 inches less than 5 times the height of a kakapo.
What is the height of a kakapo in inches?
The kakapo is inches tall.
Pls help me

Answers

Answer:

21 inches tall

Step-by-step explanation:

Let x represent the height of the kakapo.

Create an equation to represent this situation, and solve for x:

45 = 5x - 60

105 = 5x

21 = x

So, the kakapo is 21 inches tall.

A pendulum's height is modeled by the function h(t) = 4 cos(pi/4*t) + 8 where h is the
measure of the pendulum's height in feet and t is the number of seconds since the
maximum height. How many seconds does it take the pendulum to complete one
full swing?

Answers

Answer:  8 seconds

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

Explanation:

The general cosine template is

y = A*cos(B(t - C)) + D

where in this case

A = 4B = pi/4C = 0D = 8

We only really need to worry about the B value. To get the period T, we do the following

T = 2pi/B

T = (2pi)/(pi/4)

T = 2pi * (4/pi)

T = 8

Note how the pi terms canceled. The period is 8 seconds, which is the length of one full cycle. This is the time it takes for the pendulum to do one full swing (eg: start at the right, swing to the left all the way, then swing back to the right again).

The result of 8 we got has nothing to do with the D = 8 value (this D value could be any other number and T = 8 would still be the case as long as B doesn't change of course).

Solve for b. -11b+7 = 40 b=

Answers

Answer:

B= -3

Step-by-step explanation:

Move the terms that do not contain b to the right then solve. Hope this helps!

Answer:

[tex]\large \boxed{{b=-3}}[/tex]

Step-by-step explanation:

[tex]-11b +7=40[/tex]

Subtract 7 from both sides.

[tex]-11b +7-7=40-7[/tex]

[tex]-11b=33[/tex]

Divide both sides by -11.

[tex]\displaystyle \frac{-11b}{-11} =\frac{33}{-11}[/tex]

[tex]b=-3[/tex]

A population of size 3,624 grows at a rate of 3% per year, compounded continuously. How big will the population be in 2 years?

Answers

Answer:

Step-by-step explanation:

The continuous compound formula is

[tex]y=Pe^{rt[/tex] where P is the principle or starting value, r is the growth rate in decimal form, and t is the time in years. For us:

[tex]y=3624e^{(.03)(2)}\\y=3624e^{.06}\\y=3624(1.061836547)\\y=3848.09[/tex]

which would probably round to just 3848 people.

Could you help with maths please? All shown on the picture :)

Answers

Answer:

4 is tenths (a) and 5 is hundredths (b)

Step-by-step explanation:

Now, 0.45

0 indicates the ones place (it comes before the decimal)

0.45 can also be written as:

0.4+0.05

= 4/10+5/100

what can we conclude from this?

we can say that 4 is in the tenths whilst 5 is in the hundredths.

therefore, a is 4 and b is 5.

Hope this helps you! :)

Can anyone help idk how to do it

Answers

Answer:

Carl can type 450 words in 5 minutes at that rate.

Step-by-step explanation:

Every two minutes, carl can type 180 words. To find out how many words he can type in 1 minute, all we have to to is divide 180 by 2 to get 90wpm (words per minute)

if we multiply 90wpm by 5 Minutes, we get 450 words per minute

Answer: 450 words in 5 minutes

Step by step:
2+2=4
180+180=360
180/2=90
4+1=5
360+90=450

a=v^2/r Solve the formula for r

Answers

What formula is you using r or what do you have to show work ?

Answer:

[tex]\Large \boxed{r =\frac{v^2 }{a}}[/tex]

Step-by-step explanation:

[tex]\displaystyle a=\frac{v^2 }{r}[/tex]

We need to rearrange and solve the formula for [tex]r[/tex].

Multiply both sides of the equation by [tex]r[/tex].

[tex]\displaystyle a \times r=\frac{v^2 }{r} \times r[/tex]

Simplify the equation.

[tex]ar=v^2[/tex]

Divide both sides of the equation by [tex]a[/tex].

[tex]\displaystyle \frac{ar}{a} =\frac{v^2 }{a}[/tex]

Simplify the equation.

[tex]\displaystyle r =\frac{v^2 }{a}[/tex]

19. the first side of a triangle measures 4in less than the second side, the third side is 3 in more than the first side, and the perimeter is 15 in. how long is the third side
please help it’s late and i already started the test and my head hurts

Answers

Answer:

the third side is 5 2/3 in.

s - 1

Step-by-step explanation:

a = side 1

b = side 2

c = side 3

a + b + c = 15

a = b - 4 => b = a + 4

c = a + 3

a + a + 4 + a + 3 = 15

3a + 7 = 15

3a = 8

a = 8/3 = 2 2/3 in

b = a + 4 = 6 2/3 in

c = a + 3 = 5 2/3 in

3. a. Simplify (2x + y) (x-7)
b. Find the truth set of 2x-3 +3 = -1

Answers

Answer: b. X=-1/2

Step-by-step explanation:

2x-3+3=-1-3 and +3 cancel each other

2x=-1 both sides divided by 2

X=-1/2

Please answer ASAP. The question is down below

Answers

Answer:  A

Step-by-step explanation:

Notes: Dividing by a fraction means to multiply by its reciprocal.

           The denominator cannot equal zero.

[tex]\dfrac{5a^3bc}{8ab^3}\div\dfrac{-ab^2}{6a^5b}\cdot \dfrac{2a^2b^3}{3b}\qquad \rightarrow a\neq 0,b\neq 0\\\\\\=\dfrac{5a^3bc}{8ab^3}\cdot\dfrac{6a^5b}{-ab^2}\cdot \dfrac{2a^2b^3}{3b}\\\\\\=\dfrac{5\cdot 6\cdot 2\quad a^3\cdot a^5\cdot a^2\quad b\cdot b\cdot b^3\quad c}{8\cdot -1 \cdot 3\quad a\cdot a\qquad b^3\cdot b^2\cdot b \quad}\\\\\\=\dfrac{-60a^{10}b^5c}{-24a^2b^6}\\\\\\=\dfrac{-5a^8c}{2b}[/tex]


The table below shows the number of cars Jing sold each month last year.
What is the median of the data in the table.
13
16
19
20.5
23.5
Other:

Answers

Answer:

The median of the data in the table is 19.

Step-by-step explanation:

We are given the following data that shows the number of cars Jing sold each month last year below;

Number of cars Jing sold: 13, 16, 19, 20.5, 23.5

For calculating the median, firstly we have to observe that the number of observations (n) in our data is even or odd because;

If n is odd, then the formula for calculating median is given by;

                           Median = [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]

If n is even, then the formula for calculating median is given by;

                           Median = [tex]\frac{(\frac{n}{2} )^{th} \text{ obs.} + (\frac{n}{2}+1 )^{th} \text{ obs.} }{2}[/tex]

Here, the number of observations in our data is odd, i.e. n = 5.

So, Median = [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]

                   = [tex](\frac{5+1}{2} )^{th} \text{ obs.}[/tex]

                   = [tex](\frac{6}{2} )^{th} \text{ obs.}[/tex]

                   = 3rd obs. = 19

Hence, the median of the data in the table is 19.

What is the values of x and y

Answers

Answer:

If you have given an equation, you see the x and y in it. Just taking second equation and think any common factor between x's variable. With common factor, multiply both and you will find the value of y and put it in any equation, you will find the value of X.

Answer:

Hey there!

I can't see the full problem, but if when x=0.5, y=4, then when x=4, y=32, and when x=9, y=72. You multiply by a common multiple to get from x to y.

Hope this helps :)

Other Questions
Which text feature could the author add to help readers better understand and visualize Or Keeffes work? Cells have what type of bilayer that is notsoluble in water?A. phospholipidB. proteinC. cellulose This year Burchard Company sold 37,000 units of its only product for $16.40 per unit. Manufacturing and selling the product required $122,000 of fixed manufacturing costs and $182,000 of the fixed selling and administrative costs. It?s per unit variable costs follow. Material $4.20 Direct labor (paid on the basis of completed units) 3.20 Variable overhead costs 0.42 Variable selling and administrative costs 0.22 Next year the company will use new material, which will reduce material costs by 50% and direct labor costs by 50% and will not affect product quality or marketability. Management is considering an increase in the unit selling price to reduce the number of units sold because the factory's output is nearing its annual output capacity of 42,000 units. Two plans are being considered. Under plan 1, the company will keep the selling price at the current level and sell the same volume as last year. This plan will increase income because of the reduced costs of using the new material. Under plan 2, the company will increase the selling price by 20%. This plan will decrease unit sales volume by 5%. Under both plans 1 and 2, the total fixed costs and the variable costs per unit for overhead and for selling and administrative costs will remain the same. Required: 1. Compute the break-even point in dollar sales for both (a) plan 1 and (b) plan 2. Per unit Plan 1 Plan 2 Sales Variable Costs Material Direct labor Variable overhead costs Variable S&A costs Total variable costs Contribution margin 2. Prepare a forecast contribution margin income statement with two columns showing the expected results of plan1 and plan 2. The statements should reports sales, total variable costs, contribution margin, total fixed costs, income before taxes, income taxes (40% rate), and net income. Tanisha has 7 less than 4 times as manytoy cars as Fernando. If Tanisha has 9cars, how many toy cars does Fernandohave?a. 2 toy carsb. 4 toy carsc. 8 toy carsd. 29 toy carshelp! Time spent using e-mail per session is normally distributed with a mean = to 8 minutes and standard deviation = 2minutes. If a random samples of 36 sessions were selected, the computed sample standard deviation would bea. 0.25b. 0.3333c. 0.42d. 0.48 HELPPPPPP please guyss A conditioned client's resting heart rate will be which of the following? Use exterior angle of triangle theorem to find the missing measure of an angle in a polygon. Simplify 70 +(-30)+2+(-9)+0.3+(-0.1)=[70+(-30)] +[2+(-9)]+[0.3+(-0.1)] On a coordinate plane, a piecewise function has 3 lines. The first line has an open circle at (negative 9, negative 2), continues horizontally at y = negative 2, then has an open circle at (0, negative 2). The second line has an open circle at (0, 1), continues up with a positive slope, then has an open circle at (4, 9). The third line has an open circle at (4, negative 2), continues down with a negative slope, then has an open circle at (8, negative 4). What is the domain indicated on the graph for each only a monopolistically competitive firm operates at its efficient scale. both a perfectly competitive firm and a monopolistically competitive firm operate at their efficient scale of production. neither a competitive firm nor a monopolistically competitive firm charges a markup over marginal cost. only a perfectly competitive firm operates at its efficient scale. answer all of them I'll give brilliant if you answer for points you'll be reported Which of these artistic movements relied on deliberately unbalancedcompositions and visual distortion?A. RococoO B. Late BaroqueO C. Early BaroqueD. Mannerism On January 1, Garcia Supply leased a truck for a three-year period, at which time possession of the truck will revert back to the lessor. Annual lease payments are $12,000 due on December 31 of each year, calculated by the lessor using a 4% discount rate. Negotiations led to Garcia guaranteeing a $31,600 residual value at the end of the lease term. Garcia estimates that the residual value after four years will be $30,200. What is the amount to be added to the right-of-use asset and lease liability under the residual value guarantee? Help, i just need the answers and no need for explanations. An investor buys a $1,000 par TIPS security with 3 years to maturity, a semiannual coupon, and a 4.25% coupon rate. If inflation over the next 6 months is 2.50%, what will be the first coupon payment that the TIPS investor will receive? 3 inches is what fraction of a foot? Name two safety measures commonly used in electric circuits andappliances Which equation represents a circle whose center is left parenthesis negative 7 comma 4 right parenthesis with a radius of 5? 5* (?)-8= 77Please help me!!!