What is the value of n in the equation below

2n+1=21

Answers

Answer 1
Answer:

The value of n obtained from equation 2n+1=21 is 10.

Value of n to be determined in equation 2n+1=21.

What is arithmetic?

Statements execute as mathematical expressions. In arithmetic mathematics deals with various statements, progressions, sequences etc.

Here,
      ⇒2n+1=21
          2n=21-1
          2n=20
           n=20/2
           n=10

Thus, the value of n in equation 2n+1=21 is 10.

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Answer 2
Answer: first, subtract 1 from both sides of the equation.

You are left with 2n=20

Then, divide 2 into 20, and you get 10

So, the value of n is 10

Hope this helped!

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A container holds 21 spoons and 27 forks. What is the ratio of spoons to the total number of utensils in the container?A.
7 to 9

B.
7 to 16

C.
9 to 7

D.
16 to 9

Answers

If there's 21 spoons and 27 forks than there are 48 utensils, and the ratio of spoon to total stilis is 21/48, and if you reduce that it is 7/16. So your answer is B. 7/16.

At a store , 24 bottles of water and 6 bags of chips costs $23.40. Five bottles of water and two bags of chips cost $6.60. What is the cost of a single bottle of water ?

Answers

24w+6c=$23.40

5w+2c=$6.60

So you have to find c (chips) first. You have to make the number of chips in both equations cancel each other.

-3(5w+2c)=-3($6.60)
-15w-6c=$-19.80

Then subtract to get one formula
24w + 6c = $23.40
-15w - 6c = $-19.80

9w = $3.60
w=$.40

To check your answer, find how much one bag of chips costs:
5($.40) + 2c = $6.60
$2.00 + 2c = $6.60
2c = $4.60
c=$2.30

Plug your value for one water and one bag of chips into the formula:
5($.40) + 2($2.30)
$2.00 + $4.60
=$6.60

Then plug your values into the original problem:
24($.40) + 6($2.30)
$9.60 + $13.80
=$23.40

Answer:

why does everyone keep doing math question? im horrible at it :(

Step-by-step explanation:

What is the constant of proportionality in the equation y=5/4 x

Answers

The constant of proportionality is 5/4 because it is coefficient of y=mx+b.

Answer:

it is 5/4

Step-by-step explanation:

if you add 5/4 but minus it you will see it stays the same

You are a volunteer at a physical therapy clinic. a set of stairs you use to help patients is shown with it's dimensions. What is the volume of the set of stairs?

Answers

The volume of the rectangular set of stairs is V = 12,960 inches³

What is the Volume of a Rectangle?

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

Let the total volume of the rectangular set of stairs be represented as V

Now , the value of V is

Let the volume of the first stair be A

The length of stair A = 30 inches

The width of A = 12 inches

The height of A = 4 inches

Volume of Rectangle = Length x Width x Height

So , the volume of stair A = 30 x 12 x 4 = 1,440 inches³

Let the volume of the second stair be B

The length of stair B = 30 inches

The width of B = 36 inches

The height of B = 4 inches

Volume of Rectangle = Length x Width x Height

So , the volume of stair B = 30 x 36 x 4 = 4,320 inches³

Let the volume of the third stair be C

The length of stair B = 30 inches

The width of B = 60 inches

The height of B = 4 inches

Volume of Rectangle = Length x Width x Height

So , the volume of stair C = 30 x 60 x 4 = 7,200 inches³

Now , the total volume of stairs V = A + B + C

On simplifying , we get

The total volume of rectangular stairs V = 1,440 + 4,320 + 7,200 inches³

The total volume of rectangular stairs V = 12,960 inches³

Hence , the volume of rectangular stairs is 12,960 inches³

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The volume formula is area of base×height. In this case, we are working with rectangles, so the formula is l×w×h. We have to find the volume of each block and add them together. Top rectangle: 12×30×4=1440. Middle rectangle: 30×36×4=4320. Bottom rectangle: 30×60×4=7200. 7200+4320+1440=12960 inches squared.

5(x + 3)= 4(x -3)
What is x?

Answers

Answer:

Step-by-step explanation:

We will have to open the bracket first followed by collecting the like terms

Open the bracket first

5(x+3)=4(x-3)

5x+15=4x-12

Collect like terms

5x-4x=-12-15

x=-27

So the final answer is-27

Answer:

-27

Step-by-step explanation:

5(x+3) = 4(x-3)

5x + 15 = 4x - 12

5x - 4x = -12 - 15

X = -27

Keith is saving money for a car. He has saved the same amount each year for the past three years, and records how much he has at the end of each year in the table below. Year 1: 1500 year 2: 3000 year 3: 4500


What is Keith's unit rate of change of dollars with respect to time; that is, how much does Keith save in one year?

Answers

Answer:

Keith's unit rate of change of dollars with respect to time is $1500.

Step-by-step explanation:

It is given that Keith is saving money for a car.

Year 1: 1500

year 2: 3000

year 3: 4500

Let y be the saved amount after x year.

The coordinate pairs according to the given table are (1,1500), (2,3000) and (3,4500).

The formula for rate of change is

m=(y_2-y_1)/(x_2-x_1)

Consider any two coordinate pairs.

Let as consider (1,1500) and (2,3000). So, Keith's unit rate of change of dollars with respect to time is

m=(3000-1500)/(2-1)

m=(1500)/(1)

m=1500

Therefore, Keith's unit rate of change of dollars with respect to time is $1500.

so, if he ends up with 1500 at the end of a year then he save up 1500 per year