true or false, the mean, median, and mode of 1, 2, 3, 4, 5 are all the same answer.​

2a + 2b = c

Subtract 2a from both sides

2b = -2a + c

Divide both sides by 2

b = -a + (c/2)

Answer:

the answer is the 2nd one

Step-by-step explanation:

Answer:

I and II

Step-by-step explanation:

I: 10 is less than or equal to 2(11) - 1

10 <= 22 - 1

10 <= 21

10 is less than or equal to 21

solution

II: 10 is less than or equal to 2(8) - 1

10 <= 16 - 1

10 <= 15

10 is less than or equal to 15

solution

III: 10 is less than or equal to 2(3) - 1

10 <= 6 - 1

10 <= 5

10 is not less than or equal to 5

not a solution

Answer:

The polynomial function for the volume of the box ([tex]V[/tex]) in terms of [tex]x[/tex] is

[tex]V(x)= 108\cdot x -42\cdot x^{2}+4\cdot x^{3}[/tex].

Step-by-step explanation:

We present a representation of the specifications of the open box in a image attached below. The volume of the open box ([tex]V[/tex]), measured in cubic inches, is represented by this expression:

[tex]V = w\cdot h \cdot l[/tex]

Where:

[tex]w[/tex] - Width, measured in inches.

[tex]h[/tex] - Height, measured in inches.

[tex]l[/tex] - Length, measured in inches.

Polynomial functions in standard form are represented by the following form:

[tex]y = \Sigma_{i=0}^{n} c_{i}\cdot x^{i}[/tex]

Where:

[tex]n[/tex] - Order of the polynomial, dimensionless.

[tex]c_{i}[/tex] - i-th Coefficient, dimensionless.

[tex]x[/tex] - Indepedent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.  

If we get from figure that [tex]w = 12 - 2\cdot x[/tex], [tex]h = x[/tex] and [tex]l = 9 - 2\cdot x[/tex], then:

[tex]V = (12-2\cdot x) \cdot x \cdot (9-2\cdot x)[/tex]

[tex]V = (12\cdot x -2\cdot x^{2})\cdot (9-2\cdot x)[/tex]

[tex]V = 108\cdot x-18\cdot x^{2}-24\cdot x^{2}+4\cdot x^{3}[/tex]

[tex]V = 108\cdot x -42\cdot x^{2}+4\cdot x^{3}[/tex]

The polynomial function for the volume of the box ([tex]V[/tex]) in terms of [tex]x[/tex] is

[tex]V(x)= 108\cdot x -42\cdot x^{2}+4\cdot x^{3}[/tex].

The volume of a box is the amount of space the box can occupy.

The polynomial function is: [tex]\mathbf{V(x) = 4x^3 -42x^2 + 108x }[/tex]

The dimension of the cardboard is given as:

[tex]\mathbf{Length = 12}[/tex]

[tex]\mathbf{Width = 9}[/tex]

Assume the size removed from the box is x

The dimension of the box becomes

[tex]\mathbf{Length = 12 -2x}[/tex]

[tex]\mathbf{Width = 9 -2x}[/tex]

[tex]\mathbf{Height = x}[/tex]

So, the volume (V) of the box is:

[tex]\mathbf{V = Length \times Width \times Height}[/tex]

Substitute known values

[tex]\mathbf{V = (12 -2x) \times (9 - 2x) \times x}[/tex]

Open brackets

[tex]\mathbf{V = (12 -2x) \times (9x - 2x^2)}[/tex]

Open brackets

[tex]\mathbf{V = 108x -24x^2 - 18x^2 + 4x^3}[/tex]

[tex]\mathbf{V = 108x -42x^2 + 4x^3}[/tex]

Rewrite as:

[tex]\mathbf{V = 4x^3 -42x^2 + 108x }[/tex]

Express as a function

[tex]\mathbf{V(x) = 4x^3 -42x^2 + 108x }[/tex]

Hence, the polynomial function is:

[tex]\mathbf{V(x) = 4x^3 -42x^2 + 108x }[/tex]

Read more about volumes and functions at:

https://brainly.com/question/1758167

Answer:

+ or - $9

Step-by-step explanation:

Answer:

95

Step-by-step explanation:

Find the mean by adding all of it and dividing it by the total of numbers,so I did that and put an extra 95 and the mean was 90,Please give me brainliest if it help

Jaylin's test grades in History class → 92, 89, 85, 89 and 90

Let the marks achieved in the final semester = x

Total marks achieved = 92 + 89 + 85 + 89 + 92 + x

                                    = 447 + x

Minimum or the average marks required in 6 semester = 90

Total marks required in 6 semesters = 90×6

                                                             = 540

447 + x = 540

x = 540 - 447

x = 93

Therefore, Jaylin should achieve minimum 93 marks in the last semester.

Learn more,

https://brainly.com/question/11153270

Answer:

Step-by-step explanation:

w≤500-285

Answer:

10 miles per hour I'm not sure tho just trying to help :)

Step-by-step explanation:

try to divide

Answer:

10

Step-by-step explanation:

600mph= 10miles/min

Answer:

x = 97

Step-by-step explanation:

X - 24 = 73

Add 24 to each side

X - 24+24 = 73+24

x = 97

[tex]\text{Hello! :D}[/tex]

[tex]\large\boxed{x = 97}[/tex]

[tex]\text{x - 24 = 73}[/tex]

[tex]\text{Solve for x by adding 24 to both sides:}[/tex]

[tex]x- 24 + 24 = 73 + 24\\\\x = 97[/tex]

Answer:

I hope it helped you and you understood it.

Answer:

we know that,

Force is directly proportional to rate of change of momentum.

→ F [tex]\propto[/tex] (Pv - pu)/t

→ F = k p (v - u)/t

→ F = k p a

Here, body must have some mass.

→ F = ma

Derived.

Answer:

$29.15

Step-by-step explanation:

Step 1:

$53 × 55%

Step 2:

53 × 0.53

Answer:

29.15

Hope This Helps :)

Answer:

$2.25

Step-by-step explanation:

73.80/32.8

Hey There!!

The answer to this is: A.

the line will cross the y intercept at 6 therefor the only option that has 6 is the first one the slope will be 1/2

Hope It Helped!~

Good Luck With Your Assignment!~

[tex]UsedLess[/tex]~

(^///^)

Answer:

Blue, if you look, they both are close, but due to the pathagrium theory blue is longer.

Step-by-step explanation:

Answer:

Red is longer

Step-by-step explanation:

With the distance equation formula, you can find this. The distance equation formula is d=[tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2} } \\[/tex]. (x1,y1)(x2,y2) are the coordinates of each individual point.

If you turn the grid into a graph, red's points would be (0,0)(3,3)

Blue's points would be (0,3)(-1,-1). Using the distance formula blue is [tex]\sqrt{17}[/tex].

The red is [tex]\sqrt{18}[/tex], so red is longer.

Answer:

60 gummy bears in total

Step-by-step explanation:

20% of the gummy bears are blue.

12 gummy bears are blue

That means 6 gummy bears is 10% of the total.

6*10=60

100%=60 gummy bears.

Answer:

price of tv = 3000

discount =1560

discount % = 1560/3000 * 100% = 52%

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

Formula =discount ×100÷original price

1560×100÷3000=52%

Answer:

I do believe that the answer would be 56%

Step-by-step explanation:

Using estimation if the box is half full it would have 4.5 books in the box, if you add that extra book it would be around 56%

Answer:

-2x/100 + 35

Step-by-step explanation:

Step 1:

12x ÷ 100 + 35,000 - 14x ÷ 100

Step 2:

- 2x ÷ 100 + 35,000 ÷ 100

Step 3:

- 2x ÷ 100 + 35

Answer:

- 2x/100 + 35

Hope This Helps :)

Answer:

Step-by-step explanation:

x + 9 = -16

Subtract 9 form both sides

x + 9 - 9 = - 16 - 9

x = -25

Answer:

X= -25

Step-by-step explanation:

Subtract 9 from both sides.

Answer:

50v

Step-by-step explanation:

The equation would be 50v, because $62 is the original value, or v, and we are trying to find the value of the card now. Which is now 50 times the original price, $62.

Answer:

200 students

Step-by-step explanation:

Since there are 7 buses and 6 of them are full you would multiply 30•6. Then you would multiply 2/3 with 30 to find how many are on the 7th bus, which is 20. So you would add 180 and 20 to get the answer

Answer:

10 meters

Step-by-step explanation:

Area of a square is represented by the following formula:

A= s²

Plug in your area and solve.

√100 m² =√ s² (square both side)

10 m² = s

Thus, your one side length is 10

Answer:

11 pounds of flour and 16.5 sticks of butter

Step-by-step explanation:

2/64 = 0.03125

3/64 = 0.046875

0.03125 * 352 = 11

0.046875 * 352 = 16.5

Answer:

15 1/2 sticks of butter, and 11 pounds of flower, hoped this helped.

Step-by-step explanation:

HK consists of two part, HJ and JK

HK = HJ + JK

We know that:

HK = 12.2ft

JK = 3.1ft

HJ = ?

Let's plug our values into the equation above.

12.2ft = HJ + 3.1ft

Subtract 3.1ft from both sides.

9.1ft = HJ

Answer:

-2°C

Step-by-step explanation:

Add 3 to -5:

-5 + 3

= -2

So, the actual low temperature in December was -2°C

Answer:

-2

Step-by-step explanation:

i took the assignment

Answer:

9,000

Step-by-step explanation:

9474

Locate the thousands place:

9474

Check the number to the right:

9474

If the number is greater than or equal to 5, we round up. If the number is less than or equal to 4, we round down.

Since there is a '4', we round down.

9474 ≈ 9000

Hope this helps.

Answer:

[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

We require to create 2 fractions with the repeating 2 after the decimal point.

let x = 0.22.... → (1) ← multiply both sides by 10

10x = 2.22....... → (2)

Subtract (1) from (2) thus eliminating the repeating decimal

9x = 2 ( divide both sides by 9 )

x = [tex]\frac{2}{9}[/tex]

Thus

0.22..... = [tex]\frac{2}{9}[/tex]

Answer:

2/9

Step-by-step explanation:

We require to create 2 fractions with the repeating 2 after the decimal point.

let x = 0.22.... → (1) ← multiply both sides by 10

10x = 2.22....... → (2)

Subtract (1) from (2) thus eliminating the repeating decimal

9x = 2 ( divide both sides by 9 )

x =

Thus

0.22..... =

Answer:

- 10x

Step-by-step explanation:

Step 1:

-2x - 8x

Answer:

- 10x

Hope This Helps :)