Simplify::::::::::::::::

[tex] \frac{4}{15} \times ( \frac{1}{4} + \frac{5}{6} )[/tex]

Answers

Answer 1

Answer:

[tex]\frac{13}{45}[/tex]  or 0.2888... - in decimal form.

Explanation:

using PEDMAS rule:

[tex]\frac{4}{15} * ( \frac{1}{4} +\frac{5}{6} )[/tex]        [ finish the addition in the brackets ]

[tex]\frac{4}{15} * ( \frac{6}{24} +\frac{20}{24} )[/tex]     [ make the denominator same ]

[tex]\frac{4}{15} * ( \frac{6+20}{24} )[/tex]         [ join the fraction as they now have same denominator ]

[tex]\frac{4}{15} * ( \frac{26}{24} )[/tex]            [ after joining ]

[tex]\frac{4}{15} * ( \frac{13}{12} )[/tex]           [ simplified ]

[tex]\frac{4 * 13}{15 * 3 * 4}[/tex]               { 4 gets cut }

[tex]\frac{1*13}{15*3}[/tex]                  { basic multiplication }

[tex]\frac{13}{45}[/tex]                    [ final answer ]


Related Questions

what is the value of 5 at is used in this 102,587

Answers

500 as it is in the hundreds place

Answer:

hundreds

Step-by-step explanation:

It is the third digit from right which is 100

Another example say 700 what is the value of the 7=hundreds because it it 3rd digit from right

Hope it helps :)

10 man construct a building in 40 days . how long will it take 20 man to do this work ?

Answers

Answer:

20 days

Step-by-step explanation:

pahelp po guys thank u po​

Answers

Answer:

Hello there, hope it's help !! :)

To divide a multiple of 10:

Find a division fact to start with

Look at the remaining zeros

Subtract the number of remaining zeros in the divisor from the number of remaining zeros in the dividend

-

Please helppppppppppppp

Answers

Answer: 113 ez

Step-by-step explanation: back in my day i used to calculate sum shots

the number of kilo gram of water in human body varies directly as the mass of the body. A 96kg person contains 64kg of water. how many kilo gram of water are in a 60kg person? (show your solution)​

Answers

Hi there,
Body weight = k x Water content
k = constant of proportionality
96 = k 64
k = 96/64
k = 1.5
Body weight = 1.5 Water content
60 = 1.5 Water content
Water content = 60/1.5
Water content = 40 kg.
Hope this helps :-)

HAHAHHAHHAHAHAHAHAHAHAHAHHA​

Answers

Hahahahahahahahahah.

Answer:

relaaaaaaa gezzzzzzzzzzzzzzzzzzzzzzzz

Step-by-step explanation:

Suppose that the radius is expanding at a rate of 0.6 inches per second. How fast is the volume changing when the radius is 2.8 inches? Use at least 5 decimal places in your answer.

Answers

Answer:

59.11221 in^3/s

Step-by-step explanation:

Given dr/dt = 0.6 in/s

Find dV/dt when r = 2.8 in.

[tex]V=\frac{4\pi r^3}{3}\\[/tex]

so [tex]\frac{dV}{dr}=4\pi r^2\\[/tex]

[tex]\frac{dV}{dt}=\frac{dV}{dr}\cdot\frac{dr}{dt}=4\pi r^2\cdot\frac{dr}{dt}[/tex]

Use r = 2.8 in and dr/dt = 0.6 in/s

get

[tex]\frac{dV}{dt}=59.11221 in^3/s[/tex]

What's the solution of the following linear system?

5x + 2y = 9

–5x – 2y = 3

Question 10 options:

(–3, 5)


(0, –2)


No solution


Infinitely many solutions

Answers

Answer:

No solution

Step-by-step explanation:

5x + 2y = 9

–5x – 2y = 3

0 = 12

This is false. Therefore the equation had no solution.

Hope this helps!

NO LINKS!!! Select the correct answer. Consider functions f and g.​

Answers

Answer:

-2.25

Step-by-step explanation:

x = -2.25

Answer:

  C.  x ≈ -2.25

Step-by-step explanation:

A spreadsheet or graphing calculator can help you make a table of values. The function values are closest together at ...

  x ≈ -2.25

______

Additional comment

To 11 significant digits, the solution is x ≈ −2.2116632512.

In the senior year of a high school graduating class of 100 students, 42 studied mathematics, 68 studied psychology, 54 studied history, 22 studied both mathematics and history, 25 studied both mathematics and psychology, 7 studied history but neither mathematics nor psychology, 10 studied all three subjects,and 8 did not take any of the three. Randomly select a student from the class and find the probabilities of the following events. (a) A person enrolled in psychology takes all three subjects. (b) A person not taking psychology is taking both history and mathematics

Answers

The probability of finding a person enrolled in psychology that takes all three subjects is 10%, and the probability of finding a person not taking psychology that is taking both history and mathematics is 22%.

Probabilities

To find the probability of A) a person enrolled in psychology that takes all three subjects, and B) a person not taking psychology that is taking both history and mathematics; the following calculations must be made:

A) 10/100 x 100 = X0.1 x 100 = x10 = X

B) 22/100 x 100 = X0.22 x 100 = X22 = X

Therefore, the probability of finding a person enrolled in psychology that takes all three subjects is 10%, and the probability of finding a person not taking psychology that is taking both history and mathematics is 22%.

Learn more about probabilities in https://brainly.com/question/26677483

Evaluate the expression for x = -4, y=-2, and z=-3.
x(y+z)^2?

Answers

Answer:

- 100

Step-by-step explanation:

x (y + z)²

= (-4) [(- 2) + (- 3)]²

= - 4 * (-5)²

= - 4 × 25

= - 100

Hope it helps ⚜

Step-by-step explanation:

we take the values given and we substitute in the equation above.

value of x=-4

y=-2

z=-3

hence we can solve for the equation above

-2(-2+-3)^2

we for everything in brackets first

(-2+-3)=-5

(-5)^2=25hence after solving we multiply by -2

-2(25)=-50

indeed that is my solution.

8th grade math. I think

Answers

Answer:

113.04 ft^2

Step-by-step explanation:

A= πr^2 = π(6)^2 = π(36) = 113.04

2nd answer I think seeing the other persons explanation helps

Find the perimeter of the figure.

O528.75 ft
O264.375 ft
O 41.25 ft
O 82.5 ft

Answers

Answer:

the answer for your question is 82.5 ft

Step-by-step explanation:

Using translation concepts, we have that the graph of f(x):Was shifted 9 units to the right and 3 units down ... O528.75 ft O264.375 ft O 41.25 ft O 82.5 ft.

Imagine this: The government has passed a new law: there will be no music allowed, of any kind, anywhere! Create a presentation addressing the President where you defend the value of music to humankind. Be sure to include:

The three roles of music
Financial benefits of concert attendance to the community
Academic and emotional benefits of music
Two scenarios that demonstrate what you imagine life will be like if the law stands and music is not allowed
Specifics:

Presentation must be at least ten slides long
Presentation must include four photos and one video
Please use at least four sources and list them on the last slide
It is fine to use internet sources, but be sure that they are trustworthy. Good internet sources are ones like: government websites (.gov), national and regional newspapers, academic journals, or books that are available in digital format

Answers

Answer: music is how we move on we can clean up why music is playing music is part of our hearts it can help keep calm to our hearts other people hearts to other people listen to other music, people and dogs, cats and other animals listen to music to they dance, most importantly they can help you sing and learn dance moves and other stuff people like dancing and sing to the music and they love other music that can keep them calm, even have music in gyms, stores, malls, and other places music is a part of our lives and no one can stop us from playing except for the government. The government can see if we playing music so watch out but music is a part  of our lives so please dont take the music down

branliest please iv been typing this for half an hour

The presentation defends the value of music by highlighting its roles, financial benefits, academic and emotional advantages, and potential consequences of a music ban.

The presentation bullet points

Presentation: Defending the Value of Music

Introduction:

- Address to the President regarding the importance of reconsidering the ban on music.

Role of Music:

1. Artistic Expression:

  - Music as a powerful means of artistic expression, reflecting diverse emotions and cultures.

  - Enables individuals to convey feelings and thoughts that words alone cannot express.

2. Universal Language:

  - Music transcends language barriers, connecting people from different backgrounds.

  - Promotes understanding, unity, and global harmony.

3. Emotional Solace:

  - Music's therapeutic effect on mental well-being, reducing stress and anxiety.

  - Offers a way to cope with life's challenges and connect with our emotions.

Financial Benefits of Concerts:

- Concert attendance stimulates local economies:

  - Boosts revenue for local businesses, such as restaurants, hotels, and shops.

  - Increases tourism, leading to job creation and economic growth.

Academic and Emotional Benefits:

- Academic Advantages:

  - Studies show music enhances cognitive skills, improving memory, problem-solving, and creativity.

  - Supports learning in subjects beyond music.

- Emotional Benefits:

  - Music as a source of comfort during difficult times.

  - Fosters emotional intelligence, empathy, and self-expression.

Scenarios Without Music:

1. Social Gatherings:

  - Without music, celebrations lack vibrancy and energy.

  - Diminished cultural and social interactions at gatherings.

2. Education System:

  - Music contributes to a well-rounded education, fostering creativity and discipline.

  - Absence of music results in a less dynamic and engaging learning environment.

Conclusion:

- Urgent call to reconsider the ban on music:

  - Acknowledge music's integral role in human life.

  - Preserve its positive impact on society, economy, education, and emotional well-being.

Closing Remarks:

- Thank the President for considering the importance of music to humankind's holistic development.

Learn more about presentation at:

https://brainly.com/question/24653274

#SPJ3

Solve for x
-1/5x-2/5=4/3x+1

Answers

Answer:

x = -21/23 or 0.913 (rounded to the nearest thousandth)

Step-by-step explanation:

Step 1: Add 2/5 to both sides

    1. -1/5x - 2/5 + 2/5 = 4/3x + 1 + 2/5

    2. -1/5x = 7/5 + 4/3x

Step 2: Subtract 4/3x from both sides

    1. -1/5x - 4/3x = 7/5 + 4/3x - 4/4x

    2. -23/15x = 7/5

Step 3: Multiply both sides by 15

    1. (15)-23/15x = 7/5(15)

    2. -23x = 21

Step 4: Divide both sides by -23

    1. -23x/-23 = 21/-23

    2. x = -21/23 or 0.913 (rounded to the nearest thousandth)

The surface area of the figure below is 1,620 square feet. True or false​

Answers

True, pretty sure it’s 1620

The equations of four lines are given. Identify which lines are parallel.

Line 1: y=12x−6
Line 2: x−2y=−1
Line 3: y=4x+6
Line 4: y+3=14(x−6)

Answers

Line 1: y=12x-6
Line 2: 2y=x+1. Y=x/2 +1/2
Line 3: y=4x+6
Line 4: Y=14x-84-3
Y=14x-87



None are parallel since none of them has 2 equal slopes

Rectangular park is 85m wide and 125 long. Given the length and width of another rectangular park that has the same perimeter but a larger area.

Answers

Explain it again please brother
Cm cm

Your boss hands you a memo with a summary of the monthly data. The number of imports is shown as fx), and the number of exports is shown as gx). Use the data in the table below, representing both functions, to explain to your boss the solution to the system of equations and what that solution represents. Use complete sentences.

Answers

Answer:

The solution to the system of equations would be if the number of imports and exports are the same. In this case, the solution is January because the number of imports and exports are both 3.

Step-by-step explanation:

I’m smart

POS systems are most effective when combined with

Answers

no idea tbh what subject is it

100 points+Brainliest for correct answer
An electron on an energy level has an energy of 16.32 x 10−19 J. It moves to another level by releasing 5.4 x 10−19 J of energy. Which of the following descriptions mostly likely explains what occurred?


The electron moved down to an energy level and has an energy of 10.92 x 10−19 J.

The electron moved down to an energy level and has an energy of 21.72 x 10−19 J.

The electron moved up to an energy level and has an energy of 10.92 x 10−19 J.

The electron moved up to an energy level and has an energy of 21.72 x 10−19 J.

Answers

Answer:

The electron moved down to an energy level and has an energy of

[tex]10.92 \times 10^{-19} \textsf{J}[/tex]

Step-by-step explanation:

[tex]\textsf{initial energy level of electron}= 16.32 \times 10^{-19} \textsf{J}[/tex]

[tex]\triangle E =\textsf{energy released}= 5.4 \times 10^{-19} \textsf{J}[/tex]

A positive energy change means that the electron absorbs energy, while a negative energy change implies a release of energy from the electron.

Therefore, when an electron absorbs energy, the electron moves up to higher energy levels, and when an electron releases energy, it moves to lower energy levels.

[tex]\triangle E=E_2-E_1[/tex]

[tex]\implies 5.4 \times 10^{-19} = 16.32 \times 10^{-19} -E_1[/tex]

[tex]\implies E_1= 16.32 \times 10^{-19} -5.4 \times 10^{-19}[/tex]

[tex]\implies E_1= 10.92 \times 10^{-19}[/tex]

Answer:

The electron moved down to an energy level and has an energy of

[tex]10.92 \times 10^{-19} \textsf{J}[/tex]

Find the solution to the system of equations,
x + y + z = 18
y+ z = 11
z = 8
A. x = 7, y = 3, z = 8
B. x = 7, y = 11, z = 3
C. x = 18, y = 3, z = 8
D. x = 18, y = 11, z = 8

Answers

A is the answer :)
Since we are given z = 8, finding y is simple.
By replacing the z in y + z = 11, we can see that y = 3
After finding these two, x can be found

Answer:

D should be it

Step-by-step explanation:

plssss help me Po plsssssssss​

Answers

Answer:

Step-by-step explanation:

What is the answer to 5x6+8+9-5 Pls help i dont remember pemdas mean

Answers

Answer:

The answer is 42

Step-by-step explanation:

PEMDAS=
parenthesis, exponents, multiplication, division, addition, subtraction.

Answer:

The answer is 42

PEMDAS: parentheses, exponents, multiplication, division, addition, subtraction

The marks of 10 pupils in jhs three are 88,80,75,70,38,45,70,60,60,50. Find the a. Arithmetic mean mark
b. Modal mark
c. Third quartile

Answers

a) Arithmetic mean mark
First add all the values together (88+80+75+70+38+45+70+60+60+50) and divide them by the number of values (10). Which would equal to 63.6

b) Modal Mark
This is the mode of the values (the value that appears most often in the set of data values) which would be 70 and 60

c) The Third Quartile
Not too sure how to explain so I included an attachment to work it out

Hope this is all correct or at least helps you out :)

Phillip hod 45 marbles. He gave 2/3 to his Brother. How many marbles did he give to his Brother?

Answers

Answer:

15

Step-by-step explanation:

3/3 = 45

2/3 = ?

3/3 - 2/3 = 1/3

1/3 * 45 = 15

Answer:

30

Step-by-step explanation:

45/3=15

15x2=30

Help or the imposter will find you.

Answers

Answer:

1/4x... = 3; 3.2b = 7; 4.6y = -2; 7.5c = -3

Isolate the variable.

1,2,3,5 and 7 are all common factors of two numbers.
Write down the digit that the two numbers end in

Answers

Answer:

After our solar system began to form, dust and gas combined into small bodies that formed the planets. What are these small bodies called?

dwarf planets

gas giant planets

planetesimals

terrestrial planets

Step-by-step explanation:

What’s the correct answer for the question?

Answers

Step-by-step explanation:

the dosage information bases only on age, on weight and the level of the fever. but we have no information about the fever.

so, we assume the fever is below 102.5° F.

the age is with 18 month in the valid range (0.5 to 2 years old) for the dosage.

so, all is left is to do the calculation about the weight.

24 pounds is based on the given information (1 kg ≈ 2.2 pounds) :

24/2.2 = 10.909090909... kg

this is rounded to full kg : 11 kg

the child should get 5 mg per kg, so this child has to get

5×11 = 55 mg

convert 2FA.C8 base 16. express in Octal form, Quinary or pental form and Binary form​

Answers

Using base conversion method, 2FA.C8 base 16 can be expressed as:

1372.628 in octal11022.3423120034 in pental1011111010.11001 in binary

What is 2FA.C8 base 16 expressed in Octal form?

To express 2FA.C8 in octal form, it is first converted to a decimal form as follows:

where:

F = 15

A = 10

C = 12

2FA.C8 = 2 × 16^2 + F × 16^1 + A × 16^0 + C × 16^-1 + 8 × 16^-2

2FA.C8 = 762.7812510 in decimal.

Then, convert 762.7812510 to octal as follows:

First the integral part is converted to octal by repeated division by 8.The fractional part is converted to octal by repeated multiplication by 8 until we get to zero (here, we calculate up to ten digits)add the integral and fractional part together

762 / 8 = 95 remainder 2

95 / 8 = 11 remainder 7

11 / 8 = 1 remainder 3

1 / 8 = 0 remainder 1

762 = 1372

Then;

0.78125 × 8 = 6 + 0.25

0.25 × 8 = 2 + 0

0.78125 = 0.62

Therefore, 762.78125 in decimal = 1372.628 in octal

What is 2FA.C8 base 16 expressed in pental form?

To convert 2FA.C8 base 16 to pental form, we use its value in decimal for conversion.

2FA.C8 base 16 = 762.7812510 base 10

Then, convert 762.7812510 to pental as follows:

First the integral part is converted to pental by repeated division by 5The fractional part is converted to pental by repeated multiplication by 5 until we get to zero (here, we calculate up to ten digits)add the integral and fractional part together

762 / 5 = 152 remainder 2

152 / 5 = 30 remainder 2

30 / 5 = 6 remainder 0

6 / 5 = 1 remainder 1

1 / 5 = 0 remainder 1

762 in decimal = 11022 in pental

Then 0.78125 to pental:

0.78125 × 5 = 3 + 0.90625

0.90625 × 5 = 4 + 0.53125

0.53125 × 5 = 2 + 0.65625

0.65625 × 5 = 3 + 0.28125

0.28125 × 5 = 1 + 0.40625

0.40625 × 5 = 2 + 0.03125

0.03125 × 5 = 0 + 0.15625

0.15625 × 5 = 0 + 0.78125

0.78125 × 5 = 3 + 0.90625

0.90625 × 5 = 4 + 0.53125

Thus, 0.78125 in decimal = 0.3423120034 in pental

Therefore, 762.78125 in decimal = 11022.3423120034 in pental.

What is 2FA.C8 base 16 expressed in Binary form?

To convert 2FA.C8 base 16 to binary form, we use its value in decimal for conversion.

2FA.C8 base 16 = 762.7812510 base 10

Then, convert 762.7812510 to binary as follows:

First the integral part is converted to binary by repeated division by 2The fractional part is converted to binary by repeated multiplication by 2 until we get to zero (here, we calculate up to ten digits)add the integral and fractional part together

762 / 2 = 381 remainder 0

381 / 2 = 190 remainder 1

190 / 2 = 95 remainder 0

95 / 2 = 47 remainder 1

47 / 2 = 23 remainder 1

23 / 2 = 11 remainder 1

11 / 2 = 5 remainder 1

5 / 2 = 2 remainder 1

2 / 2 = 1 remainder 0

1 / 2 = 0 remainder 1

762 base 10 = 1011111010 base two

Then 0.78125 to binary:

0.78125 × 2 = 1 + 0.5625

0.5625 × 2 = 1 + 0.125

0.125 × 2 = 0 + 0.25

0.25 × 2 = 0 + 0.5

0.5 × 2 = 1 + 0

0.78125 base 10 = 0.11001 base two

Therefore, 762.78125 base 10 = 1011111010.11001 base two.

Learn more about base conversion at: https://brainly.com/question/17946394

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