A piece of string is 24cm Long and is cut in to three pieces in such a way that the second piece is twice as Long as the first and the third is 1 cm shorter than the first Denoting the first piece by x cm Find in term :a)the second piece and b) the Thursday piece

Answers

Answer 1

Answer:

a) 12 1/2 cm

b) 5 1/4 cm

Step-by-step explanation:

The piece of string is 24 cm long.

It is cut in three pieces.

Let the length of the first piece be x.

The second piece is twice as long as the first. This means that the length of the second piece is 2x.

The third is 1 cm shorter than the first. This means that the length of the third piece is x - 1

Therefore:

x + 2x + x - 1 = 24

4x - 1 = 24

4x = 25

x = 25 / 4 = 6 1/4cm

Therefore, the length of the second piece will be:

2 * 25/4 = 25/2 = 12 1/2 cm

The length of the third piece will be:

6 1/4 - 1 = 5 1/4 cm


Related Questions

A scientist measured the wavelength of an X-ray as 0.0000000065 meters.

​Write the number in scientific notation.

Answers

Answer:

6.5 * 10 ^ -9

Step-by-step explanation:

0.0000000065

Scientific notation means a* 10 ^b

where a  is number between 1 and less than 10

Move the decimal  9 places to the right which means the power of 10 is negative since we moved the decimal to the right

6.5

The power of 10 is -9

6.5 * 10 ^ -9

Answer:

6.5 * 10^-9 metres.

Step-by-step explanation:

This is < 1 so the exponent is negative

We count the number of digits after the decimal point up to and including the first digit > 0.

This is 9 digits.

So the answer is 6.5 * 10^-9.

pls hep for the brainliest

Answers

Answer:189.25 cm  189.3 cm if rounded to one decimal point

Step-by-step explanation:

You need to find the area of the rectangle, then the area of 1/2 the circle.

Rectangle Area =

L x w =

10 x 15 = 150cm

Circle Area =

A=πr^2 =

Diameter = 10, so radius = 5

π(5)^2 = 25π = (25)(3.14) = 78.5

Area of 1/2 Circle = 78.5/2 = 39.25

150 + 39.25 = 189.25 cm

I believe it’s 189.25cm

The sum of a rational number and an irrational number produces an irrational number.

Answers

Answer:

True

Step-by-step explanation:

Example: sqrt(5) (which decimals continue forever) will mean that if you did 5+sqrt(5) it would still have those decimals.

Answer:

True. By definition, an irrational number in decimal form goes on forever without repeating (a non-repeating, non-terminating decimal). By definition, a rational number in decimal form either terminates or repeats. If you add a non-repeating, non-terminating decimal to a terminating decimal, you still have a non-repeating, non-terminating decimal. If you add a non-repeating, non-terminating decimal to a repeating decimal, you will no longer have a repeating decimal, so the result is irrational.

What is the factored form of the polynomial?
x2 + 9x +20
1
(x - 4)(x - 5)
(x-2)(x - 10)
(x + 4)(x + 5)
(x + 2)(x + 10)

Answers

(x+4)(x+5) is the answer

Can anyone help out?

Answers

Exponential decay is the answer

which relation is a function ?

Answers

Y is the function of x so there are two things called Input and output

On a scale drawing, the height of a tree is 2.25 inches. If the scale drawing is 1 in. : 75ft, how tall is the tree?

Answers

Answer:

168.75ft

Step-by-step explanation:

We can just multiply by the scale

2.25*75=168.75

The actual height of the tree is 168.75 ft.          

What is Height?

The height is defined as the measurement of the distance of an object from the base to the top.

Here, Given

Height of tree (in drawing) = 2.25 inches

Scale is given ; 1 inch = 75 ft.

       so, 2.25 inches = 2.25 X 75 ft.

                                  ≈ 168.75 ft.

Thus, the actual height of the tree is 168.75 ft.

Learn more about height from:

https://brainly.com/question/10726356

#SPJ2

                                   

                             

the zero of the polynomial 6x power 2 + 19 X - 77 is​

Answers

Answer:

The zeros of the polynomial are x = 7 or x = -11/2

Step-by-step explanation:

The zeros of a polynomial refers to the solution of the polynomial.

6x^2 + 19x -77

6x^2-14x+ 33x -77

2x(x-7) + 11(x-7)

= (2x + 11)(x-7)

2x + 11 = 0

x-7 = 0

2x = -11

x = -11/2 = -5.5

and x-7 = 0

x = 7

So the zeros of the polynomial are x = 7 or x = -11/2

What is the difference of the fractions? Use the number line to help find the answer. 4/7-10/7

Answers

Answer:

4/7 - 10/7 = -6/7

Step-by-step explanation:

Answer:

4/7-10/7 =-6/7

Step-by-step explanation:

Use the diagram to find the value of x to the nearest tenth of a foot.
a. 74.6 ft.
b. 5.3 ft.
c. 15.5 ft.
d. 73.3 ft.

Answers

Answer:

a

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan15° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{20}{x}[/tex] ( multiply both sides by x )

x × tan15° = 20 ( divide both sides by tan15° )

x = [tex]\frac{20}{tan15}[/tex] ≈ 74.6 ft ( to the nearest tenth of a foot )

Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

Solve the first variable in one of the equations, then substitute the result into the other equation.

(-1,8/3)

x=-1, y=8/3

Answer:

c

Step-by-step explanation:

if you plug in all the numbers for the variables c works out

A golfer hits a golf ball with a club. The mass of the ball is 0.05 kg.
The ball accelerates at 2,000 m/s2
What is the net force, to the nearest newton, that accelerates the
ball?

Answers

Answer:

100 N

Step-by-step explanation:

f= 0.05*2000=100 N

Answer:100

Step-by-step explanation:

20 POINTS! what comes next in the pattern? 76, 80, 88, 95, 100, 101?
102
105
108
103
106
109

Answers

Answer:

111

112

Step-by-step explanation:

102

105

108

111

The function is add 3 or count by 3 from 102.

103

106

109

112

The function is add 3 or count by 3 from 103.



How many litres of water (round to the nearest hundredth) can be poured into a tin can that has a diameter of 18 cm and a height of 0.3 m?​

Answers

Answer:

Step-by-step explanation:

Diameter = 18cm

18 / 2 = Radius

Radius = 9cm

Formula: A=2πrh+2πr^2

2 x pi x 9 x 0.3 + 2 x pi x 9^2 = 525.90261

Nearest hundredth = 525.90

PLEASE HELP ITS FOR A TEST I WILL GIVE U BRAINLIEST
Danica and Darrelle have developed a lucrative business selling handmade silver bracelets. Darrelle makes the more complex bracelets and Danica makes the simpler ones. It takes Darrelle 4 hours to make 3 bracelets and Danica can make 5 bracelets every 2 hours.

a. Convert this scenario into linear equation(s); show both the standard form and the slope-intercept form of your equation(s).
b. Could any part of this scenario be graphed using any of the special functions discussed in the course text? Explain your answer.
c. Each bracelet Darrelle sells makes $10.50 in profit. Each bracelet Danica sells makes $3.50 in profit. If Darrelle and Danica work the same amount of time, explain each of the steps you will use and then calculate how many hours will it take for the whole business to make at least $500 profit?

Answers

Answer:

At the average rate of making profit, it will take slightly more than 30 hours for the business to reach a profit goal of $500. (30.075)

Step-by-step explanation:

a) It is not clear what linear equation is desired. We are given enough information to write an equation relating the number of bracelets produced by each worker to the time it takes.

Let n represent the number of bracelets Danica produces. Let r represent the number of bracelets Darrelle produces. Let h represent time in hours.

.. r/3 = h/4 ... Darrelle produces 3 bracelets in 4 hours

.. 4r - 3h = 0 ... equation in standard form

.. r = (3/4)h ... equation in slope-intercept form (the intercept is 0)

.. n/5 = h/2 ... Danica produces 5 bracelets in 2 hours

.. 2n - 5h = 0 ... equation in standard form

.. n = (5/2)h ... equation in slope-intercept form

b) We have no idea what special functions were discussed in the course. Of course these equations can be graphed. (2-dimensional equations are easily graphed.)

c) A profit function can be written in terms of the number of bracelets produced. Then it can be solved to find when (h=?) profit is equal to $500.

.. Let p represent the total profit from production of bracelets.

.. p = 10.50*r + 3.50*n ... profit in terms of bracelets produced

.. p = 10.50*((3/4)h) + 3.50*((5/2)h) ... profit in terms of hours, where both work the same hours

.. p = 16.625 h

.. 500 = 16.625 h ... we want to find hours until $500 profit

.. 500/16.625 = h ≈ 30.0752

At the average rate of making profit, it will take slightly more than 30 hours for the business to reach a profit goal of $500.

_____

If you work out the timing of when bracelets are finished, assuming they are made at a constant rate, you find that there will be 23 of Darrelle's bracelets and 76 of Danica's bracelets finished in 30 hours and 40 minutes. These will yield a profit of $507.50. After another 8 minutes, Danica will have finished bracelet 77 to add another $3.50 to the profit total.

Un periódico puro tiene fracción generatriz?

Answers

Answer:

its asking does a pure newspaper have a general fraction?

Mr.Tola has a piece of wood that is 8 1/4 feet in length. He wants to cut it into pieces that are each 3/4 foot in length. How many 3/4 foot pieces of wood can Mr.Tola make?

Answers

Answer:

11

Step-by-step explanation:

1/4 is equal to 0.25. 3/4 is equal to 0.75.

8.25 divided by 0.75.

11

Latrell wants to paint his bedroom ceiling to look like the sky. He wants it to be 85% blue and 15% white. If he needs 4.25 gallons of blue, how many gallons of white does he need?

Answers

Answer:

0.75 gallons

Step-by-step explanation:

As the statement indicates that Latrell wants the bedroom ceiling to be 85% blue and 15% white and you know that he needs 4.25 gallons of blue which represents the 85%, you can use a rule of three to find the amount that represents the 15% to know the gallons of white that he needs:

4.25 gallons → 85%

          x         ←  15%

x= (4.25*15)/85

x=0.75

According to this, the answer is that if Latrell needs 4.25 gallons of blue, he needs 0.75 gallons of white.

Calcylate the volume of this regular solid
What is the volume of the rectangular prism
6 cm
5 cm
9 cm​

Answers

Answer:

V = 270 cm³

Step-by-step explanation:

Remember your volume formula: V=lwh

So, plug in all your variables and multiply:

(6)(5)(9) = 270

And we have our final answer!

Please someone answer quick answer 5,6,7,8 QUICK

Answers

Answer:

64: 1, 2, 4, 8, 16, 32, 64

90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

88: 1, 2, 4, 8, 11, 22, 44, 88

100: 1, 2, 4, 5, 10, 20, 25, 50, 100

84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Solve for q.

–15 − 18q = –20q + 15

q =

Answers

Answer:

q = 15

Step-by-step explanation:

→First, add 18q to both sides:

-15 - 18q = -20q + 15

-15 = -2q + 15

→Subtract 15 from both sides:

-30 = -2q

→Divide both sides by -2:

15 = q

We first want to get q on its own then solve like shown:

-15-18q=-20q+15

Now add 15 to both sides and add 20 q to both sides.

2q=30

Now divide 30 by 2.

q=15

Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

[tex](x-7)(x-7)[/tex]

Step-by-step explanation:

We begin with the given quadratic expression:

[tex]49-14x+x^2[/tex]

Just for my own ease, I will rewrite this in descending order of powers

[tex]x^2-14x+49[/tex]

In order to factor this expression, we need to look for two numbers that meet the following criteria.

When they are added together, you get [tex]-14[/tex]

When they are multiplied together, you get [tex]49[/tex]

A simple way to find our answer is to begin with the product of multiplication and list each of the numbers that can be multiplied together to get us our given result

To get 49, we could multiply

1 and 49

-1 and -49

7 and 7

-7 and -7

Now, we can just add both of these terms together to see while one gives us our desired result

[tex]1+49=50\\-1-49=-50\\7+7=14\\-7-7=-14[/tex]

As you can see, -7 and -7 were the two values that gave us -14.

This means that they are the terms within our factor.

Therefore, our factored form would be [tex](x-7)(x-7)[/tex]

Answer:

(7 - x) (7 - x)

Step-by-step explanation:

First, I'm multiplying 49 by the co-efficient of x(1) to get 49. Then I'm going to see what factors of 49 add up to -14. Those are -7 and -7.

Next, I'm going to rewrite this polynomial:

49 - 7x - 7x + x^2

Then, I group them into two groups:

49 - 7x

&

-7x + x^2

Then, I factor them out:

49 - 7x = 7 (7 - x)

-7x + x^2 = -x (7 - x)

After that, I take the outer coefficients and put them in parenthesis:

7 (7 - x)

&

-x (7 - x)

= (7 - x)

Finally, I put both of our grouped parenthesis together:

(7 - x) (7 - x)

Janice is making necklaces with colored beads. She makes them into squared patterns like the image below. Part A: How many long beads are needed to make 4 and 8 squares?

Answers

Answer:

3

Step-by-step explanation:

bc they do

what solution is 7x+7=6x+4+x+3

Answers

Answer:

infinite solutions (all real numbers)

Step-by-step explanation:

7x+7=6x+4+x+3

7x+7=7x+7

infinite solutions (all real numbers)

Answer:

Equation is alway true

All real numbers are solutions.

Step-by-step explanation:

Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 7*x+7-(6*x+4+x+3)=0 Step by step solution :

Step  1  : Equations which are always true : 1.1    Solve   0  = 0This equation is a tautology

Hope this helps.

Record letters from left to right

Answers

Answer:

Step-by-step explanation:

ok so im not really sure what this is asking, but im thinking its  EBFACGDHI but im not positive

Did you ever find out the answer to this?

Pls help with this for brainliest answer

Answers

Answer:

the answer is 12pie

Step-by-step explanation:

6mm is radius

circumference is ×2

so its 12

Could it be 18.84 I think

[tex](\frac{15x^{2}y }{8x} )(\frac{4y}{9xy} )[/tex]

Answers

The simplified expression is 5y / 6

A certain solution contains 4.3 grams of salt per liter.
How much salt is there in 11 liters of the solution?
Round your answer, if necessary, to the nearest tenth.

Answers

Answer:

47.3 grams

Step-by-step explanation:

Given: A solution contains 4.3 grams of salt per liter.

To find: Amount of salt in 11 liters of the solution

Solution:

Amount of salt in 1 liter of the solution = 4.3 grams

So, amount of salt in 11 liters of the solution = 11 × Amount of salt in 1 liter of the solution = 11 × 4.3 = 47.3 grams

Hence, 11 liters of the solution contains 47.3 grams of salt.

Answer: 47.3

Step-by-step explanation: Khan Academy

4y+18/5y= 2 what is the value of y?

Answers

Answer: 5/19

Step-by-step explanation:

4y + 18/5y = 2

20y + 18y = 10

38y = 10

y = 10/38

Please answer correctly !!!! Will mark brianliest !!!!!!

Answers

Answer:

-3x-5 x-4 I this work good luck

Answer:

-(3x-5) (x-4)

Step-by-step explanation:

-3x^2+17x-20

Factor -1 out of -3x^2

-(3x^2)+17x-20

Factor -1 out of 17x

-(3x^2)-(-17x)-20

Rewrite -20 as -1(20)

-(3x^2)-(-17x)-1(20)

Factor -1 out of -(3x^2)-(-17x)

-(3x^2-17x)-1(20)

Factor -1 out of -(3x^2-17x)-1(20)

-(3x^2-17x+20)

Factor.

-((3x-5)(x-4))

Final Anwser:

-(3x-5) (x-4)

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