what is x in 2x − 3 + 4x = 21

Answers

Answer 1

Answer: x = 4

Step-by-step explanation:

2x - 3 + 4x = 21

6x - 3 = 21

6x - 3 (+3)  = 21 (+3)

6x = 24

24/6

x = 4

Answer 2
So first to rearrange the question so like terms are together

2x + 4x = 21 - 3

Then simplify

6x = 18

Then divide 6 to both sides to find x

X=3

Hope this helps!

Related Questions

John is going to plant spinach in a rectangular area of his garden. The rectangle is 11 feet long and 7 feet wide. What is the area of this rectangle?

Answers

Answer:

The area of rectangle is 77 sq ft.

11 x 7 = 77

I need a answer quick!

Answers

Answer:

I normally just plug these into desmos.

Step-by-step explanation:

If the mean is 50 and the standard division is 10 what is the probability that a randomly selected item is between 20 and 60

Answers

Answer:

84%

Step-by-step explanation:

Okay, I want to work out the chance that was between 20 and 60. Other words will find the area. 20 2 60 this area here. And the answer is because the area under the curve is always one in total. So the workout p of 20, less than x. Less than 60 here. I need a calculator And the input on the TI 84 plus is as follows, you press the second blue button, second, followed by vars V A R S, that's by the arrow keys on the right, that brings up the menu for distributions and what you want is normal C D E F Number two on the list, so normal C D E F. You press enter and it was a lower upper, lower is 20 upper is 60. The mean is 50 and the standard deviation is 10, There's a four number input. So 20 for lower 60 for upper 50 for the mean And 10 for the s. d. Standard deviation so, and then paste that onto the screen and press enter and we get 0.83999. And hear what they want. There's a percent to have some more places.

Therefore, it will be 84.00 percent. The two decimal places

HELP!!! THESE ARE DO TODAY

Answers

Answer:

72

Step-by-step explanation:

First, we should probably break this shape down into 2 easier to work with shapes. The dimensions of these will be 4*9 and 6*6. I get 6 because when you break 4*9 off, you're also taking 4 off from the 10, giving you 6. Now just multiply and then add the area of both shapes. 4*9=36, and 6*6=36. 36+36=72, so that's your answer.

Hope this helps!

Drag each line to the correct location on the image. Not all lines will be used.

Match the lines of best fit to the scatter plots.

Answers

I will help if you post a picture or something

Answer:

I am not sure if this is correct but:

Step-by-step explanation:

The parent teacher association is raising money for a new swing set. They need $682.56 to purchase the swing set and receive a $200.00 donation. The remaining amount will be equally divided among 8 different student groups to raise. How much money will each student group need to raise in order to purchase the swing set? Record your answer to the hundredths place.

Answers

Answer:

Total amount to be raised by the 8 student groups = Total amount required - Donation = $682.56 - $200.00 = $482.56Amount to be raised bu each group ...

Step-by-step explanation:

In the diagram, A||B and B||C. Find the values of X.

Answers

Answer:

31

Step-by-step explanation:

3x + 12 and 105 are alternate exterior angles because A || B and B || C.

If the two or more lines are parallel, then the alternate exterior angles are equal.

3x + 12 = 105

Substract 12 on both sides,

3x = 105 - 12

3x = 93

Divide 3 on both sides,

x = 93 / 3

x = 31

Pls help I have no idea what any of this is.

Answers

Answer:

Sine is an Odd B answer

Step-by-step explanation:

So basically it's B
Text book

HELP!!!

Mrs. Nestler enjoys listening to classical music. She has the following audio CDs by her favorite composers in her collection: 4 by Bach, 6 by Beethoven, 3 by Brahms, and 2 by Handel. If she selects 4 CDs randomly from her collection without replacing them, what is the probability that she will choose one by each composer?

A. 16/5625
B. 16/455
C. 2/5625
D. 2/455
(The answer choices, A, B, C, and D are FRACTIONS!)

Answers

Using the combination formula, it is found that the probability that she will choose one by each composer is given by:

144/1365.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, she will pick 4 CDs from a set of 4 + 6 + 3 + 2 = 15, hence the total number of options is given by:

[tex]C_{15,4} = \frac{15!}{4!11!} = 1365[/tex]

The number of options that include one from each is given by:

N = 4 x 6 x 3 x 2 = 144.

Hence the probability is given by:

p = 144/1365.

More can be learned about the combination formula at https://brainly.com/question/25821700

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in the figure, p||q. On a recent math test, Jacob incorrectly listed the value of w as 101.

Find the value of w.

What mistake did Jacob likely make?​

Answers

Answer:

x = 79

Step-by-step explanation:

Part A:

It's stated that line p and line q are parallel, if it is so then the angle represented with w and the angle with measure 79 are alternate and their measure is equal to each other:

Part B:

Jacob likely thought angle represented with W and the angle with the measure 101 are alternate so he made a mistake and found wrong result.

The radius of a circle is 2 inches. What is the area of a sector bounded by a 90° arc?

Answers

Answer:

28.27

Step-by-step explanation:

π x 6^2 x 90/360 = 28.27

Which is equal to ???

Answers

Answer:

Answer = tan 3pi/10

Step-by-step explanation:

Hope that helps! :)

A snail can move 5 inches in 6 minutes. At this rate, how many feet can it move in 48 hours?

A. 40

B. 3

C. 200

D. 11

Answers

Answer:

Hi the answer is A. 40

The data set shows the weights of pumpkins, in pounds, that are chosen for a photograph in a farming
magazine
18 22 14 30 26
(a) What is the mean of the data set?

Answers

Hey there!

What is the mean of the data set?

Answer :

22 ✅

Explanation:

You first have to know what is a mean (or average) :

MEAN : Sum of values divided by the number of values.

[tex] \text{mean} = \frac{sum \:of\: the \:values}{number \: of \: values} \\ \\ \Longrightarrow \frac{18 + 22 + 14 + 30 + 26}{ 5 } \\ \\ \Longrightarrow \frac{110}{5} \\ \\ \Longrightarrow \red{\boxed{\blue{22}}} [/tex]

Therefore, the mean of the data set is 22.

More information about finding the mean of a data set :

https://brainly.com/question/1602788

Have a good day :)

The mean can be calculated by determining the sum of the chosen pumpkins and dividing it by the total pumpkins chosen for the photograph.

Sum of the chosen pumpkins: 18 + 22 + 14 + 30 + 26Total pumpkins chosen: 5 pumpkins

Therefore, the fraction that represents the mean is:

[tex]\dfrac{18 + 22 + 14 + 30 + 26}{5}[/tex]

When we simplify the fraction, we get:

[tex]\implies \dfrac{18 + 22 + 14 + 30 + 26}{5}[/tex]

[tex]\implies \dfrac{40 + 14 + 30 + 26}{5}[/tex]

[tex]\implies\dfrac{70 + 14 + 26}{5}[/tex]

[tex]\implies\dfrac{70 + 40}{5}[/tex]

[tex]\implies\dfrac{110}{5} = 22[/tex]

Therefore, the mean of the data set is 22.

Learn more about mean of a data set: https://brainly.com/question/11163338

Question 3 of 10
Which equation represents the slope-intercept form of the line below

Answers

Answer:

[tex]y = \frac{1}{2}x + 8[/tex]

Step-by-step explanation:

The general slope-intercept equation is: y = mx + b.

In this equation, "m" is equal to the slope and "b" is equal to the y-intercept.

Since the slope is "1/2", then this is the "m" value.

Since the line passes the y-axis at "8" when x = 0, then "b" must be "8".

Therefore, the equation of the function in slope-intercept form is  [tex]y = \frac{1}{2}x + 8[/tex].

Which sample distribution is most likely to be from this population distribution?

Answers

Answer:

option A is the mostly likely to be population distribution

The distribution (A) is a distribution that is most likely to be from this population distribution option (A) is correct.

What is a normal distribution?

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

It is given that:

The normal distribution or bell curve is shown in the picture.

As we can see in the picture the distribution is distributed 50 - 50 % along the median line or mean line.

The distribution is most likely to be from this population distribution is shown in option (A).

Thus, the distribution (A) is a distribution that is most likely to be from this population distribution option (A) is correct.

Learn more about the normal distribution here:

brainly.com/question/12421652

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Three men build a wall in 10 hours how many men would be needed to build a wall in 71/2h

Answers

Answer: 4 men to build it in 7.5 hrs

Step-by-step explanation:

Question 1 (10 points)
Solve the system of the linear equations with three variables:
x + y + 3z = 3
2x + y +6z = 2
2x- y + 3z = -7

Answers

Answer:

x= -2 y = 4 z = 1/3 solve by using gauss elimination or Cramer's rule, or matrix inversion method or row equivalent matrix method

How many quarts of a 50% acid solution must be added to 20 quarts of a 20% acid

solution to obtain a 40% acid solution?

Answers

Answer:

  40 quarts

Step-by-step explanation:

The amount of additional 50% acid solution can be found by writing an equation for the amount of acid in the mix.

__

Let x represent the number of quarts of 50% acid solution that need to be added. The total number of quarts of acid in the 40% mix is ...

  0.50x +0.20(20) = 0.40(x +20)

  0.10x = 0.20(20) . . . . . . . subtract 0.40x +0.20(20)

  x = 40 . . . . . . . . . . . . divide by 0.10

40 quarts of 50% solution must be added.

_____

Additional comment

That will make a total of 60 quarts of solution, of which 24 quarts (40%) are acid.

Step-by-step explanation:

while the other answer is correct, let me try to explain this in a different optical way :

50% means 50/100 = 1/2 = 5/10 of the substance is acid.

20% means 20/100 = 1/5 = 2/10 of the substance is acid.

40% means 40/100 = 2/5 = 4/10 of the substance is acid.

now, we want to find the quantity of x quarts that satisfies the desired balance :

x × 50% + 20 × 20% = (x + 20) × 40%

x × 5/10 + 20 × 2/10 = (x + 20) × 4/10

5x/10 + 4 = 4x/10 + 8

x/10 = 4

x = 40

so, yes, we need to add 40 quarts of the 50% solution.

that gives us 60 quarts, with 40% = 40/100 = 4/10 = 2/5 = being acid : 60 × 2/5 = 120/5 = 24 quarts


PLEASE HELP ANSWER BOTH PARTS!!! DUE SOON

Answers

Answer:

c. 69

b. 7

Step-by-step explanation:

Felicity has two $10 and a $5 bill. She spends
$8.20 on a game and $4.80 on a poster.
How much money does she have left?


Answers

Answer:

$12

Step-by-step explanation:

8.20 plus 4.80 would equals 13

so 13 subtracted by 25 equals 12

$12
8.20+ 4.80= 13
25-13=12

Six statements were made about the figures below. Record the letter of the 3D figure that matches each student’s statement.

Answers

The answer will be 1-sphere,2-Triangular pyramid,3-cube,4-Triangular prism,5-Cylinder,6-Rectangular pyramid

What are the figures?

The figures can be sphere, cylinder, cube,pyramid,prism etc.We have to match the description with their correct solid name.

figure where all points are the same distance from the center, is called sphere.

1-sphere

figure made of all triangles.That figure is called a triangular pyramid.

2-Triangular pyramid

figure with six congruent squares is called a cube.

3-cube

figure with two triangle bases and rectangles for the rest of its faces.That figure is called a triangular prism.

4-Triangular prism

figure with circular bases is called a cylinder.

5-Cylinder

figure with a rectangle as a base and a triangle for the rest of its bases.

That figure is called a rectangular pyramid.

6-Rectangular pyramid

To know more about the Figures follow

https://brainly.com/question/15981553

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Find the surface area of the pyramid. The side lengths of the base are equal.

Pls answer fast!

Answers

This is how to do it

A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 8.5 ft by 15 ft by 14 ft. If the container is entirely full and, on average, its contents weigh 0.05 pounds per cubic foot, find the total weight of the contents. Round your answer to the nearest pound if necessary

Answers

Answer:

empezando multiplicar todos los números seria un total de 1785  que lo pondremos con m3  que un metro cubico seria 1000L entonces con los 1785 los ponemos por 1 000  

Step-by-step explanation:

respuesta 1 785 000

Find the volume of the cylinder.

Answers

Answer 471 unit^3

Step by step explanation;

              - -- - - - - -- - - - - - - - - - --  - - -- - - - - - - - - - - - - -- - - - - - - - - - -- - - -

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What is the volume of the cylinder?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

[tex]\textsf{Volume of a Cylinder:-}[/tex]

[tex]\dashrightarrow\boxed{\bold{V=\pi r^2h}}}\dashleftarrow[/tex]

Where

V = volume

π = pi (3.14...)

r=radius

h=height

Given:-

r=5

h=6

Notice that we're asked to use 3.14 for π.

Plug in the values:-

[tex]\bold{V=3.14 (5^2)(6)}[/tex]

On further simplification,

[tex]\bold{V=3.14(25)(6)}[/tex]

[tex]\bold{\underline{V=471}}[/tex] units³

Good luck.

   

          - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

A motorcycle that regularly sells for 1,450 was discounted by 40% off

Answers

Answer:

$870.00 is the motorcycle price after a 40% discount

Step-by-step explanation:

discount = original price x discount % / 100

discount = 1450 x 40 / 100

discount = 1450 x 0.4

discount = $580.00

Final Price = Original Price - Discount

Final Price = 1450 - 580

Final Price = $870

Answer answer question please

Answers

Answer:

Step-by-step explanation:

3 and 2/5

(aka A)

Answer:

a

Step-by-step explanation:

it says 3 and 2/5ths

hope this helps

sophia

would very much appreciate it if you guys helped out

Answers

Answer: x^2 + 6x – 7 = 0


The solutions x = -7 and x = 1 can be written as:

(x+7)(x-1) = 0

(Because you find the solution values for x from the brackets e.g (x+7) to get x=-7, dunno how to explain it better sry)

From which you can expand the brackets and find the answer in quadratic form.

(x+7)(x-1) = 0

Expand the brackets

x^2 + 7x – x – 7 = 0

x^2 + 6x – 7 = 0

Hey does any body know how i can approximate 13 like this had this homework but it got late on me.​

Answers

Answer:

(see attachment)

To approximate the square root of 13:

Working from the top down...

Enter the number you are trying to approximate in the top box: [tex]\boxed{\sf \sqrt{13}}[/tex]

Find the perfect squares directly below and above 13.

Perfect squares:  1, 4, 9, 16, 25, 36, ...

Therefore, the perfect squares below and above 13 are: 9 and 16

Enter these with square root signs in the next two boxes: [tex]\boxed{\sf \sqrt{9}}[/tex] and  [tex]\boxed{\sf \sqrt{16}}[/tex]  

Carry out the operation and enter  [tex]\boxed{\sf 3}[/tex] and [tex]\boxed{\sf 4}[/tex] in the next two boxes.

Enter the number you are trying to square root (13) in the top left box, the perfect square above it (16) in the box below, then the perfect square below it (9) in the two boxes to the right of these. Carry out the subtractions and place the numbers in the boxes to the right.

[tex]\dfrac{\boxed{\sf 13}-\boxed{\sf 9}}{\boxed{\sf 16}-\boxed{\sf 9}}=\dfrac{\boxed{\sf 4}}{\boxed{\sf 7}}[/tex]

Now enter the number you are trying to square root (13) under the square root sign.  Place the square root of the perfect square below it (3) in the box to the right.  Copy the fraction from above (4/7).  Finally, enter this mixed number into a calculator and round to the nearest hundredth.

[tex]\sf \sqrt{13}=\boxed{\sf3}\dfrac{\boxed{\sf 4}}{\boxed{\sf 7}}=\boxed{\sf3.57}[/tex]

Find the equation of a line that passes through the points (2,5) and (2,12)

Answers

Determining the slope of the line:

We know the following:

[tex]\text{Slope formula} = \dfrac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

Note: Slopes can only be determined if the lines are not vertical.

Since the x-coordinate of the points that pass through the line are the same, when the points are substituted in the slope formula, the slope will result in "undefined" (Work shown below).

[tex]\text{Slope formula} = \dfrac{12 - 5}{2 - 2}[/tex]

[tex]\text{Slope formula} = \dfrac{7}{0} = \text{unde}\text{fined} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Any non-number divided by 0 is unde}\text{fined}][/tex]

Now, let's see if the vertical line will intersect the x-axis or a y-axis.

Determining if the line will intersect the x or y-axis

To determine if the vertical line will intersect the x or y-axis, we must look for the intersection of the line on the x or y-axis. The vertical line will be parallel to the y-axis and will intersect the x-axis.

Therefore, the line will intersect the x-axis.

Replacing values in an equation:

Since the line does not intersect the y-axis, the equation of the line on the left-hand side will have an x-variable.

⇒ x = ?

The x-intercept will be substituted on the right-hand side of the equation.  Since the line that passes through the two points [(2,5) and (2,12)] have the "2" as their x-coordinates, the x-intercept will also be 2. Therefore,

x = 2

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