4n-3=-2n+9 What is the value of the variable 'n'?

Answers

Answer 1
4n - 3= -2n + 9
add 3n to both sides

4n= -2n +12
add 2n to both sides

6n= 12
divide both sides by 6

n= 2

Check:
4n-3=-2n+9
4(2)-3= -2(2)+9
8-3= -4+9
5=5


Hope this helps! :)

Related Questions

True or False. The Electromagnetic Spectrum can be described in terms of wave energy, frequency, and wavelength.

Question 3 options:

True because energy, frequency, and wavelength are all properties of sound, and sound is an electromagnetic wave.


False because the electromagnetic spectrum is about radiation, not waves.


True because the electromagnetic spectrum is ordered based on wave energy, which is described on a wave as wavelength and frequency.


False because energy, wavelength, and frequency are only characteristics of mechanical waves.

Answers

True, because energy, frequency, and wavelength are all properties of sound, and sound is an electromagnetic wave. The electromagnetic spectrum encompasses a continuous range of frequencies or wavelengths of electromagnetic radiation, ranging from long wavelength, low energy radio waves to short wavelength, high frequency, high energy gamma rays. 

Suppose 25 out of 175 people said they like to play disc golf and 5 out of every 12 of the players have a personalized flying disc. At the same rates, in a group of 252 people , predict how many you would expect to have a personalized flying disc.

Answers

25 out of 175 is 1/7, and the next fraction is 5/12. We will be applying these two fractions to the next group in order to obtain the answer.
1/7 of 252 is 252÷7= 36
36×5/12= 15
So, we can expect 15 people to have a personalised flying disc.

At a health club, 60% of the members are men and 40% of the members are women. The average age of the men is 32 years. The average age of the women is 28 years.

What is the average age of all the members of the health club?



Enter your answer as a decimal in the box.


_ years

Answers

60% of the members are men and average age of men is 32 years old.
⇒ 60% of the members are 32 years old.

40% of the members are women and the average age of women is 28 years old.
⇒ 40% of the members are 28 years old.

Average age = 0.6 x 32 + 0.4 x 28 
Average age = 19.2 + 11.2
Average age = 30.4

Answer:

The average age is 30.4.

Step-by-step explanation:

Find the vertex of this parabola. y=-2x+4x+12

Answers

Answer:

(1,14)

Step-by-step explanation:

Answer:

Vertex of the parabola is ( 1 , 14 ).

Step-by-step explanation:

Given Equation of parabola is [tex]y=-2^2+4x+12[/tex]

We have to find the vertex of the parabola.

We first convert the given equation of parabola in standard equation of parabola using completing the square method.

Standard equation of parabola,

[tex](x-h)^2=4a(y-k)[/tex]  

here, ( h , k ) is coordinates of the vertex of the parabola.

consider,

y = -2x² + 4x + 12

y = -2( x² - 2x - 6 )

y = -2 ( x² - 2x  + 1² - 1² - 6 )

y = -2 ( x -1 )² - 7 × ( -2 )

y - 14 = -2 ( x - 1 )²

[tex](x-1)^2=\frac{1}{2}(y-14)[/tex]

By comparing,

vertex = ( 1 , 14 )

Therefore, Vertex of the parabola is ( 1 , 14 ).

A water fountain shoots up a jet of water

Answers

Could possibly be a geyser

Answer:more variables are needed to solve

Step-by-step explanation:

ASAP WILL GIVE BRAINIEST


Justine is following a recipe that calls for 4 cups of lemon juice for every 3 cups of sugar. If she uses 3 cups of lemon juice, how much sugar should she use?

Answers

3 cups of lemon juice is 3/4 of the recipe
sugar = 3/4 x 3 =  2 1/4

 2 1/4 cups of sugar is needed

Ed spoke to his cousin in Australia, who told him it was 28 degrees C that day. Ed wasn’t sure if that was hot or cold, so he converted the temperature to degrees in Fahrenheit. What is the temperature in degrees Fahrenheit? Use the formula, F=9/5 C+32, where F is the number of degrees in Fahrenheit and C is the number of degrees in Celsius. Round your answer to the nearest whole number.
A)48 Degrees F
B)50 Degrees F
C)82 Degrees F
D)108 Degrees F

Answers

Answer:

C)82 Degrees F

Step-by-step explanation:

The formula we have is F = 9/5C + 32.  Substituting the value for Celsius, 28, into the formula,

F = 9/5(28) + 32

F = 1.8(28) + 32

F = 50.4 + 32

F = 82.4

To the nearest whole number, this is 82 degrees.

The converted temperature in degrees Fahrenheit is 82 Degrees F

What is temperature conversion?

Temperature conversion is the process of changing the value of temperature from one unit to another. We measure temperature on scales like Kelvin, Celsius, and Fahrenheit, etc.

Given that, the temperature in Australia, is 28 degrees C, Ed wasn’t sure if that was hot or cold, so he converted the temperature to degrees in Fahrenheit.

We know that,

The formula to convert the temperature into Fahrenheit is:

F = 9/5C + 32.  

Substituting the value for Celsius, 28, into the formula,

F = 9/5(28) + 32

F = 1.8(28) + 32

F = 50.4 + 32

F = 82.4

Hence, the converted temperature in degrees Fahrenheit is 82 Degrees F

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Find the value of X for the figure given the perimeter

Answers

Perimeter refers to the distance around a figure in this case a rectangle. On this problem is given the perimeter of the rectangle and its asked to find the value of x.

First of all, you should know that the formula to find the perimeter of a rectangles is P=2b+2h where b is the base and h the height of the rectangle.

P=2b+2h                    Substitute the given values
30=2(3x)+2(2x)          Associate the terms
30=6x+4x                   Combine like terms
30=10x                       Divide in both sides by 10 to isolate x
3=x 

The value of x for the rectangle is 3 units.

John and Matt are going to fill a pool with 2 different sized hoses. John can fill the pool in 5 hours, while Matt can complete it in 10 hours. Explain each step in solving this equation. (10 points)

Answers

We have to find how much time will be consumed if both John and Matt fill the pool together and show the steps to reach at the answer.

Solution:

John fill the pool in 5 hours. This means in 1 hour John fills [tex] \frac{1}{5} [/tex] part of the pool. Matt fills the pool in 10 hours. This means in 1 hour Matt fill [tex] \frac{1}{10} [/tex] part of the pool.

If they both work together:
Portion of the pool filled in 1 hour = [tex] \frac{1}{5}+ \frac{1}{10}= \frac{3}{10} [/tex]

Next we can use proportion to solve this problem.

3/10 portion of the pool is filled in 1 hour.

3/10 of the pool is filled in time ⇒ 1 hour
Multiplying both sides by 10/3 we get

3/10 x 10/3 of the pool in time = 1 x 10/3

1 pool is filled in time = 10/3 hours

This means, if both John and Matt fill the pool together they will take 10/3 hours which is 3 hours and 20 minutes to fill the pool.

A shortcut to solve such questions is:

Time taken to fill the pool = (Product of individual times)/(Sum of individual times)

Time taken to fill the pool = [tex] \frac{5(10)}{5+10}= \frac{50}{15}= \frac{10}{3} [/tex]

This results in the same answer as we achieved above. 

How many kiloliters are in 32,500 centiliters

Answers

0.325 Kiloliters

(Sorry If It's Wrong!)
KL = cl / 100000

KL = 32500 / 100000

KL = .325

Hello, I need help with my geometry homework. It has to do with simplifying radicals and sin,cos, and tan. Thank you for your time and consideration.

Answers

the height is probably 10.

Mrs.Anderson bought party favors for the 24 students in her class. Each favor cost $2.27. How much did all the party favors cost?

Answers

$54.48 because 24 x 2.27 = 54.48

How can I write an expression for: susan has 10 apples and 6 oranges. How many pieces of fruit does she have?

Answers

You could let apples equal a and oranges equal o. Then it would be 10a+6o

What is the wavelength for radio waves with frequency 3 × 109?

Answers

well if that is multiplying 3x109=327

Answer:

1 x 10^-1m or A on edge

Step-by-step explanation:

just took the test

Juan has x apples and 8 oranges how many pieces of fruit does he have give your answer in terms of x

Answers

The expression would be: x+8
The equation would be: x+8=

Final answer:

Juan has a total of x + 8 pieces of fruit, where x represents the number of apples and the 8 represents the fixed number of oranges.

Explanation:

The question involves a simple algebraic expression to determine the total number of pieces of fruit Juan has. Given that Juan has x apples and 8 oranges, the total number of pieces of fruit he has can be represented as the sum of these two quantities.

In algebraic terms, the total number of pieces of fruit Juan has is x + 8, where 'x' represents the unknown number of apples. There is no need for more complex operations or considerations; the answer simply requires the addition of the two amounts.

Simon sold bottles of water at the marathon on Saturday for $0.75 per bottle. He sold 43 bottles. How much money did he earn?

Answers

.75 × 43=32.25
.75 is the price per bottle and Simon sold 43

dianes plane is due to arrive when the hour hand is just the 3 and the minute hand is the 4. what time should the plane arrive ?

Answers

The hour hand at 3 makes it 3:00 and the minute hand at 4 adds 20 minutes, so it should be 3:20

how do i solve log (×)6=4

Answers

Re-write the question like this

6 = [tex] x^{4} [/tex]
x = [tex] \sqrt[4]{6} [/tex]
x = 1.565

Determine the unknown side length of the golden rectangle with the given side length.

s = ____ t=9
a.
5.56
c.
4.94
b.
4.85
d.
5.26


Please select the best answer from the choices provided

Answers

Answer: option a. 5.46

Explanation:

The side lengths of the golden rectangle are in the proportion:

          1
--------------------
golden number

The golden numbrer is:

  1 + √5
-----------
     2

So, the ratio is:

       1
--------------
   1 + √5
   ---------
       2

And, using the properties of the division of fractions, that is equivalent to:

      2
-------------
 1 + √5

Since you have the given side t = 9, you can set the proportion, to find the unknown lenght, s:

    2               s
--------- =   ---------
1 + √5           t


    2               s
--------- =   ---------
1 + √5           9

And you can solve for s:

s = 9 * 2 / (1 + √5) ≈ 18 / (1 + 2.236) = 18 / (3.236) ≈ 5.56.

Which is the option a. 5.56

Final answer:

To determine the unknown side length of a golden rectangle, set up a proportion and solve a quadratic equation.

Explanation:

The golden rectangle is a rectangle in which the ratio of the longer side to the shorter side is equal to the golden ratio, approximately 1.618. To determine the unknown side length, we can set up a proportion using the given side length and the golden ratio:

s / t = (s + t) / s

Substituting the given values, we have:

s / 9 = (s + 9) / s

Cross multiplying and simplifying, we get:

s^2 = 9(s + 9)

By solving this quadratic equation, we find that the unknown side length is approximately 4.94. Therefore, the correct answer is c. 4.94.

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Mitosis is a process of cell reproduction in which one cell divides into two identical cells. E. coli is a fast-growing bacterium that is often responsible for food poisoning in uncooked meat. It can reproduce itself in 15 minutes. If you begin with 100 E. coli bacteria, how many will there be in 1 hour?

Answers

Answer:

1600

Step-by-step explanation:

There will be 1600 E. coli bacteria, in 1 hour.

What is multiplication?

In maths, to multiply means to add equal groups. When we multiply, the number of things in the group increases. The two factors and the product are parts of a multiplication problem.

Given that, Mitosis is a process of cell reproduction in which one cell divides into two identical cells. E. coli is a fast-growing bacterium that is often responsible for food poisoning in uncooked meat. It can reproduce itself in 15 minutes.

In the beginning, there are 100

After 15 minutes, there are 2*100=200

After 30 minutes, there will be 2*200 =400

After 45 minutes = 400*2 = 800

After 60 minutes = 800*2 = 1600

Hence, in 1 hour there will be 1600 E. coli bacteria.

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A recent poll of 85 randomly selected cable subscribers found that 39% would be willing to pay extra for a new nature channel

Answers

So what's the question

Answer:

Between 29% and 49% (just took quiz on Edge)

The rest of the question is: To the nearest percent, with a confidence level of 95% (z*- score 1.96), what is the confidence interval for the proportion of cable subscribers who would be willing to pay extra for the new nature channel?

Find the surface area of the pyramid represented by this net. [type your answer as a number]

Answers

Area of one triangle = 1/2 x 9 x 5 = 22.5
Four triangles = 22.5 x 34 = 90
Area of the square in the middle = 5 x 5 = 25

Total Area = 90 + 50 = 140 square cm


Answer:

90 + 50 = 140 square cm

A Metal worker traced a triangular piece of sheet metal on a coordinate plane as shown

Answers

The coordinates of vertices of the triangle can be seen from the graph. Using these vertices we can find out the length of sides and hence we can find the longest side of the triangle.

The triangle is a Right Angled Triangle. In a right angled triangle the length of hypotenuse is always larger than the base and perpendicular. The end points of the hypotenuse are (2,4) and (-3,-2). Using the distance formula, we can find the length of hypotenuse:

[tex] \sqrt{ (-3-2)^{2} + (-2-4)^{2} } \\ \\ = \sqrt{ (-5)^{2} + (-6)^{2} } \\ \\ = \sqrt{25+36} \\ \\ = \sqrt{61} \\ \\ =7.8 [/tex]

Thus the length of longest side of the metal triangle is 7.8 inches, rounded to nearest tenth of an inch.

At a healthy foods store in Belleville, organic sugar used to retail for $4 per pound. The price was recently increased to $5 per pound. What is the percent of increase in the price of this item?

Answers

Final answer:

The price of organic sugar at the Belleville store increased from $4 to $5 per pound, which is a 25% increase in price.

Explanation:

The percent of increase in the price of organic sugar from $4 to $5 per pound can be calculated through a few steps. To determine the percentage increase, you subtract the old value from the new value, then divide the result by the old value. Finally, you multiply by 100 to convert it into a percentage.

Here is the step-by-step calculation:

Determine the increase in price: $5 - $4 = $1.

Divide the increase by the original price: $1 ÷ $4 = 0.25.

Multiply by 100 to get the percentage: 0.25 × 100 = 25%.

Therefore, the price of organic sugar increased by 25%.

Final answer:

The price of organic sugar at a healthy foods store in Belleville was recently increased from $4 per pound to $5 per pound. The percent of increase in the price of this item is 25%.

Explanation:

To find the percent of increase in the price of the organic sugar, we can use the formula:

Percent increase = ((new price - old price) / old price) * 100

First, let's calculate the percent increase:

Percent increase = (($5 - $4) / $4) * 100 = (1 / 4) * 100 = 25%

Therefore, the percent of increase in the price of organic sugar is 25%.

A bookcase measures 13 feet wide and 24 feet tall wat wood the bookcases measurements be on the scale drawing using the scale 3cm:2 ft

Answers

Measurement of the bookcase on the scale drawing using the scale 3cm:2 feet is width =19.5 cm and height = 36 cm

What is Scaling?

Scaling an object means multiplying every linear dimension of it by the same factor

What is Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given,

Width of the bookcase = 13 feet

Height of the bookcase = 24 feet

Given scale is 3cm : 2 feet

Therefore for 1 feet = 1.5 cm

Then,

Width of the bookcase = 13×1.5= 19.5 cm

Height of the bookcase = 24×1.5= 36 cm

Hence, the measurements of the bookcase after scaling is width =19.5 cm and height = 36 cm

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Can someone please help me with number 35

Answers

Using the properties of exponents, the expression is simplified as (4/3)x⁵y².

What is the simplification of the expression?

To simplify the given expression, we need to use properties of exponents

Taking the numerator;

[(2x³y)⁴] = (2⁴)(x³)⁴(y)⁴ = 16x¹²y⁴

Next, let's simplify the denominator:

3x²(4x⁵y²) = 3 * 4 * x² * x⁵ * y² = 12x⁷y²

This can be expressed as;

[(2x³y)⁴] / [3x²(4x⁵y²)] = (16x¹²y⁴) / (12x⁷y²)

Take the common factors and divide both of them;

(16x¹²y⁴) / (12x⁷y²) = (4/3)(x¹² / x⁷)(y⁴ / y²) = (4/3)x¹²⁻⁷y⁴⁻² = (4/3)x⁵y²

Therefore, the simplified expression is (4/3)x⁵y².

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(Photo attached) please answer

Answers

For the first pool, they give us the radius: 16 ft. We can use this to find the area of pool 1 using the following formula: Area of a circle = [tex] \pi r^{2} [/tex]

Area = [tex] \pi(16^{2})[/tex]
Area = 256π feet squared

They also tell us that the radius of pool 1 is equal to the diameter of pool 2. The diameter is 2 x radius. Using this info, we can assume the radius of pool 2 is equal to 8. Using the radius, we can plug it into the equation we used above to find the area of pool 2.

Area = [tex] \pi 8^{2} [/tex]
Area = 64π feet squared

Finally, the problem asks us to find the difference of pool 2's area from the area of pool 1. 

256π - 64π = 192π

Your final answer is (B): 192π square feet.


how do i fill in this chart

Answers

In the box where 'Tails' and 'Not six' is, write 68. Then right under that you ADD 50 and 68. Then under 'Six' and 'Tail' you MINUS 79 and 68. And finally under that one you ADD 21 and the answer you got. 

So in the end this is how it should look:

slope (-8,18) and (-14,-3)

Answers

The slope of the points (-8, 18) and (-14, -3) will be 7/2.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points are,

⇒ (-8, 18) and (-14, -3)

Now,

Since, We know that,

The slope of the line passing through the points (x₁ , y₁) and (x₂, y₂) will be;

⇒ m = (y₂ - y₁) / (x₂ - x₁)

Hence, The slope of the line passing through the points (-8, 18) and

(-14, -3) will be;

⇒ m = (y₂ - y₁) / (x₂ - x₁)

⇒ m = (- 3 - 18) / (- 14 - (-8))

⇒ m = - 21 / (- 14 + 8)

⇒ m = - 21 / - 6

⇒ m = 7/2

Thus, The slope of the points (-8, 18) and (-14, -3) will be 7/2.

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Final answer:

The student is asking to calculate the slope between two points, (-8, 18) and (-14, -3). By using the slope formula (rise over run), we computed the slope to be 3.5.

Explanation:

The student is asking for the calculation of the slope between two points, which is a concept in algebra and coordinate geometry. To find the slope, you can use the formula:

slope = (y2 - y1) / (x2 - x1)

Applying this to the given points (-8, 18) and (-14, -3), we find:

slope = (-3 - 18) / (-14 - (-8))
     = (-21) / (-6)
     = 21/6
     = 3.5

Therefore, the slope is 3.5.

Jane likes to exercise daily. The table shows the number of calories y she burns by exercising steadily for x minutes. How many calories would she burn by exercising for 29 minutes?

Answers

Do you have a picture of the table?

Answer:

319 cal/min.

Step-by-step explanation:

The table is attached.

You can observe in the table that there's no a value for 29 minutes.

That means we need to find the linear expression and then calculate the answer.

First, we need to find the ratio of change using two pairs of the given table and the following formula, (20,220) and (40,440) are the points

[tex]m=\frac{440-220}{40-20}=\frac{220}{20} =11[/tex]

The ratio of change states that Jane burns 11 calories per minute. So, after 29 minutes, she will burn

[tex]11cal(29min)=319 cal/min[/tex]

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