the triple of a number added to its half part is equal to the difference between four times the number and 12. What number is it

Answers

Answer 1

Answer:

  24

Step-by-step explanation:

You want to know the number such that the triple of the number added to its half part is equal to the difference between four times the number and 12.

Translation

The given relation can be expressed in math symbols as ...

  3n +n/2 = 4n -12

Adding 12 -n/2, we get ...

  12 = n/2

  24 = n . . . . . multiply by 2

The number is 24.


Related Questions

Eighteen of Susan's muffins weigh the
same as 15 of Tom's muffins. How many
of Susan's muffins weigh the same as
7 of Tom's muffins?

Answers

Answer: 8.4. So it has to be 8 muffin and you can’t have 0.4 of a muffi realistically.

Step-by-step explanation:

What is an example of an absolute value equation?

Answers

The absolute value of a given number is said to be the positive version of that number. For example, the absolute value of -5 is + 5, which can be written as: − I5 | = 5. Other examples of absolute values ​​of numbers: |−9| = 9, |0| = 0, − |−12| = −12, etc.

Absolute Value Equation:

An absolute value function is an algebraic function whose variables lie within the absolute value bar. This function is also called the modulus function, and the most commonly used form of the absolute value function is f(x) = |x|, where x is a real number. In general, the absolute value function can be expressed as f(x) = a |x - h| + k, where a represents how much the graph stretches vertically, h represents the horizontal shift, and k represents the vertical shift of the graph for f(x) = |x|. represents If the value of 'a' is negative, the chart opens downwards, if positive, the chart opens upwards.

Now that we understand the meaning of the absolute value function, we understand the meaning of the absolute value equation f(x) = a |x - h|. + k and how the values ​​of a, h, and k affect the value of the function.

'a' value determines how the graph of f(x) is stretched vertically.'h' value specifies horizontal displacement'k' value specifies the vertical displacement

The vertex (x) = a |x - h| + k of the absolute expression f is given by (h, k). You can also use the vertices of f(x) = a |x - h| Find + k using the formula (x - h) = 0 . When determining the value of x, substitute that value into the formula to find the value of k.

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A rectangle has a length of 4 millimeters and an area of square 116 millimeters. What is the​ width? What is the​ perimeter?

Answers

Answer:

Width = 29mmPerimeter = 66mm

Step-by-step explanation:

The area of a rectangle can be calculated by the formula:

= Length * Width

As we have the length and the area, we can make the width the subject of the formula to solve for it:

116 = 4 * width

Width = 116/4

= 29 mm

Perimeter is:

= Length + Length + Width + Width

= 4 + 4 + 29 + 29

= 66 mm

At 5 A.M. the temperature was -6°C.
At 2 P.M. the temperature was 7°C.
What was the change of temperature
between 6 A.M. and 2 P.M.?

Answers

Answer:

13 °C

Step-by-step explanation:

You just ask yourself how you got from -6 to +7. So in other words, what plus -6 gets you 7. I know that 13-6=7. the aswer is 13°C.

hope this helps!!

Explain for brainliest (pog)

Answers

Answer:

b. exactly one solution

Step-by-step explanation:

-5(z+1)=-2z+10

(first, distribute the 5 into the parenthesis)

-5z-5=-2z+10

(next, move the variables to the left and constants to the right)

-5z+2z=10+5

(combine like terms)

-3z=15

(isolate to variable to find the solution)

z=-5

i hope this helps :)

Answer:

Here's an answer so you can give the other person brainliest :)

Step-by-step explanation:

A wire that is 22 feet long connects the top of a pole to the ground. What is the height of the pole? Round to the nearest hundredth. 12.00 feet 19.60 feet 24.17 feet 38.40 feet

Answers

The question is incomplete. The complete question is :

A wire that is 22 feet long connects the top of a pole to the ground. The wire is attached to the ground at a point that is 10 feet from the base of the pole. What is the height of the pole? Round to the nearest hundredth.

12.00 feet

19.60 feet

24.17 feet

38.40 feet

Solution :

Given the length of the wire = 22 feet

Horizontal distance between the pole and the point where the wire is attached = 10 feet

Therefore, from Pythagoras theorem, we get from the figure :

[tex]$AB^2=OA^2+OB^2$[/tex]

[tex]$OA^2=AB^2-OB^2$[/tex]

[tex]$OA^2=22^2-10^2$[/tex]

[tex]$OA^2=484-100$[/tex]

[tex]$OA^2=384$[/tex]

[tex]$OA=\sqrt{384}$[/tex]

      = 19.60 (approx)

Therefore, the height of the pole to the nearest hundredth is 19.60 feet.      

Answer:

B.) 19.60

Step-by-step explanation:

edge 2021

In a certain lottery, 5 numbers between 1 and 13 inclusive are drawn. These are the winning numbers. How many different selections are possible

Answers

1287 combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

How many different lottery combinations are there?

You win the jackpot if you match all six numbers. You receive a lesser fixed prize if you partially match some of the numbers.

Divide the number of winning lottery numbers by the total number of available lottery numbers to discover the probability of winning any lottery. Use the formula if the numbers are picked from a set and the order of the numbers is unimportant.

To find the winning combination we use the following formula

n !/ r!( n – r ) !

Where n = total number of to be drawn

r = the number which are drawn

In this question, n = 13, and r = 5

from the formula

13 !/5!( 13 – 5 ) !

= 13! / 5! 8!

= 13*12*11*10*9*8! / 5*4*3*2*1*8!

= 154,440 / 120

= 1287

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Why is the sine of an acute angle less than one?

Answers

The sine of an acute angle is less than one because it is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle. Since the side opposite the angle is shorter than the hypotenuse, the ratio is always less than one.

To what does sin equate?

In contrast to the cosine of an angle, which corresponds to the ratio of the nearby side to the hypotenuse, the sine of an angle is the ratio of the opposite side to the hypotenuse.

It's also the same reason why the cosine of an acute angle is always less than one because it is the ratio of the adjacent side of the angle to the hypotenuse.

It's important to note that this is only true for acute angles, angles smaller than 90 degrees.

For obtuse angles, greater than 90 degrees, the sine and cosine values are greater than one.

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The following data were obtained in a study taken on a horizontal milling machine: Parts produced per cycle: 8. Average measured cycle time: 8.36 minutes. Average measured stress time per cycle: 4.62 minutes. Average fast traverse time: 0.08 minutes. Average cutting time with electrical power: 3.66 minutes. Performance rating: 115%. Clearance (machine time): 10%. Slack (effort time): 15%. The operator works on the task 8 hours a day and produces 380 parts. How many standard hours does the operator work

Answers

Answer:

8.04 ≈ 8 hours

Step-by-step explanation:

Given data:

parts produced per cycle = 8

Average measured cycle time = 8.36 minutes

Average measured stress time per cycle ( observed workers time) = 4.62 minutes

e.t.c

Determine the number of standard hours the operator works

Given that the operator works for 8 hours a day and produces 380 parts

First : calculate the normal time for worker and machine ( Normal time = ( observed worker time * performance rating ) / 100

Normal time for worker =  (4.62* 115) / 100 = 5.31 mins

Normal time for machine = (observed cycle time - observed worker time ) = 8.36 - 4.62 = 3.74 mins

Next; determine the Total standard time for Machine and worker  = ( normal time * ( 1 + Allowance factor )

Standard Time For Worker = 5.313* (1 + 0.1) = 5.84 mins

while Standard Time for Machine = 3.74 *( 1 + 0.15) = 4.30 mins

Total standard time = 5.84 + 4.3 = 10.14 mins

Finally determine the standard hours the operator works

Standard hours  = (Standard Piece Time* Pieces produced) / 60

where ; Standard piece time  = Standard time / pieces per cycle = 10.14 / 8 = 1.27 mins

hence ; Standard hours  = ( 1.27 * 380 ) / 60 = 8.04 hours

what is the radius of a circle whose circumference is 16π?
A. 32π
B. 16
C. 8 π
D. 8

Answers

Answer:

D

Step-by-step explanation:

Remark

The circumference of a circle is 2 * pi * r

Given

The circumference (C) = 16 * pi

Solution

2 pi r = 16 pi                                       Divide by 2*pi

r = 16 pi / (2*pi)

r = 8

5
1 point
Eliana measures outdoor temperatures in an area each day for a week at exactly 2:00 p.m. The
temperatures she records are all between 25 °C and 30 °C. Eliana concludes that the climate of the
area is tropical.
What is the most important reason why her conclusion might not be correct?
she made her conclusion based only on temperature and not also on precipitation
she took the temperature readings at the same time each day
she made her conclusion based on only one week of data instead of over a long period of
time
she did not calculate the average of her data

Answers

It is possible for a valid argument to have a false conclusion as long as at least one premise is false.

Conclusions might be true or erroneous.?

When the premises are genuine, validity guarantees a true conclusion; when the premises are wrong, validity provides no assurance. Even in a legitimate argument, faulty premises might lead to either a true or erroneous conclusion. In many cases, it was chance rather than reasoning that led to the correct conclusion.

Avoid including: Important evidence or analysis that was not provided in the main body for a stronger conclusion paragraph.Generic closing phrases (for example, “In conclusion…”)Weak remarks that undercut your argument (for example, “There are valid points on both sides of this debate.”)

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Choose two statements that are true for this expression.


6x3 -8x^2- 40/y+21

Answers

Observing the given equation, The answer is The degree of polynomial is 3 and the equation has variables 'x' and 'y'.

What do you mean by equation?

An equation is a mathematical statement that asserts the equality of two expressions. It typically consists of two expressions separated by an equals sign (=), for example, 2 + 2 = 4. Equations can be used to express relationships between different quantities and can be used to solve problems in many areas of mathematics and science. Equations can also be represented graphically, and they can be manipulated or transformed to make solving them easier.

What is degree of polynomials?

A polynomial is a mathematical expression that is made up of a sum of powers in one or more variables. The degree of a polynomial is the highest power of the variable(s) present in the polynomial. For example, in the polynomial expression 3x^2 + 2x - 5, the highest power of x is 2, so the degree of the polynomial is 2. A degree 0 polynomial is a constant polynomial, which is just a number. The degree 1 polynomial is a linear equation, and degree 2 polynomial is a quadratic equation. In general, the degree of a polynomial can give an idea about the behavior of the polynomial function. As the degree of a polynomial increase, the shape of the function become more complex.

[tex]6x^3 - 8x^2 -\frac {40}{y} +21[/tex]

The degree of polynomial is 3.

The equation has variable 'x' and 'y' .

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Which of the following is the quotient of the rational expressions shown
below?
X/3x-1 divide x-2/2x

Answers

Answer: To divide two rational expressions, you need to first find the least common denominator (LCD) of the two expressions. The LCD is the least common multiple of the two denominators.

In this case, the rational expressions are x/(3x-1) and (x-2)/(2x). The LCD of these two expressions is (3x-1)(2x), which can be factored as 6x(x-1).

To divide the two rational expressions, you need to express each expression as a fraction with the LCD as the denominator.

The first expression, x/(3x-1), can be rewritten as (x * (2x))/(3x-1 * (2x)) = (2x^2)/(6x^2-2x).

The second expression, (x-2)/(2x), can be rewritten as ((x-2) * (3x-1))/(2x * (3x-1)) = (3x^2-3x+2)/(6x^2-2x).

To divide these two expressions, you can divide the numerators and the denominators separately:

(2x^2)/(6x^2-2x) ÷ (3x^2-3x+2)/(6x^2-2x)

= (2x^2) ÷ (3x^2-3x+2)

= (2/3)x^2 ÷ (x^2-x+2/3)

Therefore, the quotient of the rational expressions x/(3x-1) and (x-2)/(2x) is (2/3)

Step-by-step explanation:

HELP PLEASE !!!!!!!!

Answers

Answer:

1 - They are not proportional because the slope isn't proportional.

2 - If they were proportional they would be equivalent to each other but in this case they are not therefore, they are not proportional. (I don't really understand what Part B is asking)

Step-by-step explanation:

What is slope and intercept of the line 2x 3y 6?

Answers

The slope of linear eqution of two variables x and y, i.e., 2x+3y = 6 is -2/3 and intercept is 2 .

The slope-intercept form expression of a linear equation is y = mx + c --------->(1)

Where m --> slope of the straight line and

c --> the x - intercept .

The expression for slope is represented as :

m = (y₂ - y₁) / (x₂ - x₁) ------>(2)

where (x₁, y₁) and (x₂, y₂) are any two points lying on the straight line. Once the slope m is determined then the general equation of the straight line can be determined easily.

Now we have , the equation in the problem statement is 2x + 3y = 6. firstly , we can rewrite it in the slope-intercept form as :

3y = 6 - 2x

=> y = 6/3 - 2x/3

=> y = -2x/3 + 6/3

=> y = (-2/3)x + 2

comparing the above eqution with eqution(1) we get , m = -2/3 and c = 2. So, slope and intercept of eqution 2x + 3y = 6 are -2/3 and 2 respectively.

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This is an example of a random sample: Surveying people in the library about whether they like to read books.

True
False

Answers

Answer:

True

Step-by-step explanation:

The sample space would be 2 possible outcomes, 1/2, 50% because it's a yes or no question

Answer: the answer is false

Step-by-step explanation: if you survey someone about whether they like books or not, you wouldnt really do it in a library! if youre in the library you like to read books, so it wouldnt really be a random sample!

(please can you give me brainliest!!!)

EU Migration Study

Discussion Question: In the EU migration study, 257 of the 583 immigrants

sampled were male. Let's assume the Trump/Farage claim is true: 60% of all

immigrants are male (p = 0. 60). What is the probability of obtaining 257 or fewer

males in a sample of 583 immigrants? Does this probability make you doubt the

Trump/Farage claim? Why or why not?

P

Normal(up= 0. 6, Op=. 020)

ộ ô

Ô P

ppp

PPPP

ppppppp

Skew The

Scrint

Answers

This probability does not support the Trump/Farage claim that 60% of all immigrants are male.

What is the probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes, and how likely they are.

The probability of obtaining 257 or fewer males in a sample of 583 immigrants can be found using the binomial probability formula, which calculates the probability of a specific number of successes (male immigrants) in a fixed number of trials (sample size) with a fixed probability of success (p = 0.60).

Using the binomial formula, the probability of obtaining 257 or fewer males in a sample of 583 immigrants can be found by summing the probabilities of obtaining 257 males, 256 males, 255 males, etc. up to 0 males.

Using a binomial calculator, we can find that the probability of obtaining 257 or fewer males in a sample of 583 immigrants is about 0.04.

This probability is quite low, which suggests that it is unlikely to obtain 257 or fewer males in a sample of 583 immigrants if the proportion of male immigrants is actually 60%.

Therefore, this probability does not support the Trump/Farage claim that 60% of all immigrants are male.

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Mr Castle shares out 42 marbles between Emily
and Asif in the ratio 5 : 1
How many marbles does each child get?
Emily gets marbles and Asif gets
marbles.
[4]

Answers

Answer:

Emily gets 35 marbles and Asif gets 7 marbles.

Step-by-step explanation:

let 5x and x be marbles Emily and Asif get.

5x + x = 42

or, 6x = 42

or, x= 7

5x = 5×7=35

x =7

Answer:

hi

Step-by-step explanation:

What is g(4) when given the function g(x) = 6x + 32?

Answers

Answer:

The value of g(4) of the given function is 56.

SOMEONE PLZ HELP SO I CAN NOT GET A 10% again :) thanks I will let u hit my cart

Answers

Answer:

it's "c" or the third option

Mujeeb is converting £236 into $. He knows that £1 = €1.11 and €1 = $1.25. How many $ will Mujeeb get? Give your answer to 2 dp.

Answers

Answer: $327.45

Step-by-step explanation:

Since £1 = €1.11, we need to convert £236 into euros first and this will be:

£1 = €1.11

£236 = €1.11 × 236 = €261.96

Then, we will convert the euros to dollars which will be:

€1 = $1.25

€261.96 = $1.25 × 261.96 = $327.45

Therefore, Mujeeb will get $327.45.

can someone pleasee help

Answers

Answer:

y-intercept: (0, 5)

Step-by-step explanation:

This parabola has an equation of -x² + 4x + 5.

It's y-intercept is (0, 5).

It's x-intercepts or roots are (-1, 0) and (5, 0).

It's vertex is (2, 9).

___________________________________

Keep in mind that the y-intercept is when x = 0.

What is the product of 2p 7 3p2 4p 3?

Answers

The product of 2p 7 3p2 4p 3 is 756p7.

What is product in math?

Product in math is the result of multiplying two or more numbers, variables, or algebraic expressions together. It is often denoted by the symbol 'x' or by juxtaposition, such as writing "ab" instead of "a x b". The product of two numbers is the same as the result of the first number multiplied by the second. Product is a fundamental concept in mathematics and is used in many different types of equations and calculations.

This can be calculated by multiplying the terms together.

First, multiply the terms in each parenthesis.

2p 7 is 14p, 3p2 is 9p2, and 4p 3 is 12p3.

Then, multiply the three terms together, 14p x 9p2 x 12p3, which equals 756p7.

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Find the roots of f(x)=x2+9x-36.

x = _____ or x = _____

Answers

Hi there!

[tex]\large\boxed{x = -12, 3}[/tex]

The roots of a function are when f(x) = 0, so:

0 = x² + 9x - 36

Find two numbers that multiply to -36 and add up to 9.

We get the numbers 12 and -3, so:

0 = (x + 12)(x - 3)

Set each equal to 0 to find the x value:

0 = x + 12

x = -12

0 = x - 3

x = 3

Tickets to a museum cost $17 each. For a field trip, the museum offer a $4 discount on each ticket. How much will tickets cost for 32 students cost?

Answers

Answer: 416

Step-by-step explanation:

Answer:

416

Step-by-step explanation: the tickets cost 17 each and there is a discount of $4 for a field trip so for that you do 17 minus 4 and you get 13 and then you will multiply 13 by 32 students and you get 416.

I hope this helps!!

hep me please and thx u

Answers

Answer:

what do i dohere?

Step-by-step explanation:

where are the questions

Bacteria are important in the nitrogen cycle because they __________. Choose the correct answer.

Answers

Bacteria are important in the nitrogen cycle because they convert gaseous nitrogen into ammonia.

What is Nitrogen Cycle?

The nitrogen cycle is a biogeochemical process through which nitrogen is changed into a variety of forms before returning to the atmosphere after first entering the soil and then organisms.

Given:

The cycle's most crucial component is bacteria.

The nitrogen is changed between states by bacteria so it can be utilised.

Different bacteria assist nitrogen change states when it is absorbed by the soil so that it may be absorbed by plants.

Then, the plants provide the nitrogen for the animals.

Hence, Bacteria convert gaseous nitrogen into ammonia.

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1. You have cup of flour in a bin and
7
-
2
8
-
3
cup of flour in a bag. To determine
whether you have enough flour for a
3
recipe that needs 1 cups of flour,
4
should you use an estimate, or is an
exact answer required? Explain.

Answers

The exact value is required. In this case, they don't have enough for 1 3/4 cups of flour.

How to express the fraction?

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.

From the information, the person had 2/3 cup of flour in a bin and 7/8 flour was still in the bag. In this case, it should be noted that they also wanted to know of they had enough for 1 3/4 cups of flour.

This will be calculated thus:

= 2/3 + 7 / 8

= 16/24 + 21/24

= 37 / 24.

= 1 13 / 24

This is not enough for 1 3/4 cups of flour.

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What is 10 by the power of 6?

Answers

Answer:1000000

Step-by-step explanation:

Tamika made a deposit of $1,800 into an account that earns annual simple interest. After 9 years, Tamika had earned $1,458 in interest. Assuming she did not make any additional deposits or withdrawals over the 9 years, find the simple interest rate of the account. No files please!

Answers

Answer:

0.09%

20.1 is too high

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