6,12,8,15,9,7 what it the interquartile range

Answer:

The length is 10 inches, and the width is 4 inches.

By creating a quadratic equation using the known facts and algebra, we can determine that the dimensions of the rectangle with an area of 40 square inches are length= 10 inches and width= 4 inches.

This problem is a classic example of using algebra to solve for unknown dimensions. Given that the area (A) of a rectangle equals its length (L) times its width (W), written as A = L x W, you can substitute the given values into this formula. You're told the length is 6 inches longer than the width, which you can denote in algebra as L = W + 6. Secondly, you're given that the area is 40 square inches. Substituting these values gives us the following equation: 40 = W(W + 6).

Solving this equation will give us the width, and substituting the width into the formula L = W + 6, gives us the length.

First, distribute the width on the right side of the equation to get 40 = W^2 + 6W. Re-arranging terms gives W^2 + 6W - 40 = 0. Factoring this quadratic equation yields (W - 4)(W + 10) = 0. Setting each factor equal to zero and solving for W gives W = 4 and W = -10. Because a width cannot be negative, the width of the rectangle is 4 inches. Substituting W = 4 into the length equation results in L = 4 + 6 = 10 inches. Hence, the dimensions of the rectangle are Length = 10 inches and Width = 4 inches.

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Answer:

- 1050

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ], thus

[tex]S_{20}[/tex] = [tex]\frac{20}{2}[/tex] [ (2 × - 74) + (19 × - 3) ]

= 10 ( - 148 - 57) = 10 × - 105 = - 1050

Answer:

81x^2 + 12x + 4

Step-by-step explanation:

This expression doesn't factor

Answer:

64-5 divided by 64-3 is 59 divided by 61. 59

8 squared is equal to 64.                           -----

                                                                     61

Step-by-step explanation:

[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{8^{-5}}{8^{-3}}\implies \cfrac{1}{8^{-3}\cdot 8^5}\implies \cfrac{1}{8^{-3+5}}\implies \cfrac{1}{8^2}\implies \cfrac{1}{64}[/tex]

Answer:4(y+6)

Step-by-step explanation: y from -9 to 9

go to wolfram math to see the graph because i cant draw it

I hope this helps you.

Each of Tasha's friends receives one-quarter (¼) of the whole snack after she eats half and divides the remainder equally between them.

To determine what portion of the whole snack each of Tasha's two best friends gets, let's first understand the portions.

Tasha eats half of the snack, leaving the other half to be shared equally between her two friends.

Since there are two friends, the remaining half is divided into two equal parts.

Mathematically, when the remaining half (½) of the snack is divided equally among two people, this half is further divided by 2, which is the same as multiplying by ½ (since dividing by a number is the same as multiplying by its reciprocal).

So, the calculation would be ½ (remaining portion) × ½ (each friend's share) = ¼.

Therefore, each of Tasha's friends gets one-quarter (¼) of the whole snack.

We can visualize this through a drawing not included here, but imagine a circle (representing the snack) divided into 4 equal parts. Tasha eats 2 parts (half), and each friend gets 1 part (one-quarter).

The portion of the whole snack each friend gets is 1/4

What portion of the whole snack does each friend get?

From the question, we have the following parameters that can be used in our computation:

Proportion eaten = 1/2

Proportion to friends = 1/2

There are  2 friends

So, the portion of the whole snack each friend gets is

Each friend = 1/2 ÷ 2

Rewrite as

Each friend = 1/2 * 1/2

Evaluate

Each friend = 1/4

Hence, the portion of the whole snack each friend gets is 1/4

Answer:

The measure of segment AC is 36 units

Step-by-step explanation:

- The mid-point divides the segment into two equal parts in length

- B is the mid point of segment AC

- That means B divides segment AC into two equal parts in length

∴ AB = BC

∵ AC = 5x - 9

∵ AB = 2x

- The two parts AB and BC are equal in length

∴ BC = 2x

∵ AC = AB + BC

- Substitute the values of AB and BC in the expression of AC

∴ AC = 2x + 2x

∴ AC = 4x

∵ AC = 5x - 9

- Equate the two values of AC

∴ 5x - 9 = 4x

- Add 9 to both sides

∴ 5x = 4x + 9

- Subtract 4x from both sides

∴ x = 9

- Substitute the value of x in any expression of AC

∵ AC = 4x

∵ x = 9

∴ AC = 4(9) = 36

* The measure of segment AC is 36 units

Answer:

-26

Step-by-step explanation:

Answer:

nineteen and thirty - eight hundredths

Step-by-step explanation:

Answer:

Part 1) The value of x is 21

Part 2 The value of y is 8

Step-by-step explanation:

step 1

Find the value of x

we know that

[tex](10x-61)\°+(x+10)\°=180\°[/tex] ------> by supplementary angles (linear pair)

[tex]11x-51=180[/tex]

[tex]11x=180+51[/tex]

[tex]11x=231[/tex]

[tex]x=21[/tex]

step 2

Find the value of y

we know that

[tex](10x-61)\°=(18y+5)\°[/tex]  ----> by vertical angles

substitute the value of x and solve for y

[tex](10(21)-61)\°=(18y+5)\°[/tex]

[tex](149)\°=(18y+5)\°[/tex]

[tex]18y=149-5[/tex]

[tex]18y=144[/tex]

[tex]y=8[/tex]

Answer:

x=21 y=8

Step-by-step explanation:

Answer:

[tex]\frac{x^2}{9}[/tex] - 4x + 36

Step-by-step explanation:

([tex]\frac{x}{3}[/tex] - 6)² = ([tex]\frac{x}{3}[/tex] - 6)([tex]\frac{x}{3}[/tex] - 6)

Each term in the second factor is multiplied by each term in the firs t factor, that is

[tex]\frac{x}{3}[/tex]([tex]\frac{x}{3}[/tex] - 6) - 6([tex]\frac{x}{3}[/tex] - 6)

Distribute both parenthesis

= [tex]\frac{x^2}{9}[/tex] - 2x - 2x + 36 ← collect like terms

= [tex]\frac{x^2}{9}[/tex] - 4x + 36

[tex]\text{Hello there!}\\\\\text{We're trying to find the area of the shape}\\\text{We can do this by finding the area for the different shapes, then adding}\\\text{them together}\\\\\text{We can find the area of the rectangle,} \,\,84\cdot66=5,544\\\\\text{To find the area of the half circle, we would use the equation:}\,\,A=\frac{3.14r^2}{2}\\\\\text{The radius is half of the diameter, therefore it is 33. Plug 33 in r}\\\\A=\frac{3.14(33)^2}{2}\\\\\text{Solve:}\\\\A=\frac{3.14(33)^2}{2}\\[/tex]

[tex]A=\frac{3.14(1089)}{2}\\\\A=\frac{3419.46}{2}\\\\\text{Divide by 2}\\\\A=1709.73\\\\\text{Since there's two half circles, we would add 1709.73 twice}\\\\\text{Add all the areas together}\\\\1709.73+1709.73+5,544=8963.46\\\\\large\boxed{\text{Area:}\,\,8963.46\,\,\text{m}^2}}[/tex]

Answer:

A

Step-by-step explanation:

Let's see...

It's a cube, so the total volume will be one length cubed or 10^3 which is 1000.

(2500 g)/(1000 cm^3) = [tex]2.5 g/cm^3[/tex]

I'm pretty sure the answer is A because it's the only one with correct scientific notation.

Answer:

The rocket will take 6.49 seconds to fall back to the ground

Step-by-step explanation:

* Lets explain how to solve the problem

- A rock is thrown upward from the top of  a 25 foot tower with an initial

 upward  velocity of 100 ft/sec

- That means at t = 0 the height of the rock is 25 feet above the ground

- A function of time can  be modeled by the equation:

 h(t) =  - 16t² + 100t + 25, where h is the height of the rocket from the

 ground at time t

∵ h(t) = -16t² + 100t + 25

- The height of the rocket is 25 feet above the ground when it

  is thrown up

∴ h(t) = 25 at t = 0 ⇒ initial position of the rocket

- The height of the rocket when hits the ground is zero

∴ h(t) = 0 when the rocket hits the ground ⇒ final position of it

- We need to find the time that the rocket takes to fall back to

 the ground

∵ h(t) = 0

∵ h(t) = -16t² + 100t + 25

∴ -16t² + 100t + 25 = 0

- Lets solve it to find the value of t

∵ -16t² + 100t + 25 = 0

- Multiply both sides by -1 to make the coefficient of t² positive

∴ 16t² - 100t - 25 = 0

- Use your calculator to find the values of t

∴ t = 6.49 sec and t = -0.24 sec

∵ We will reject the value of t = -0.24, because time can not be

   negative value

∴ The rocket will take 6.49 seconds to fall back to the ground

x/4 >= -8

Multiply both sides by 4.

x >= (-8)(4)

x >= -32

The value of X is greater than or equal to -32.

To solve the inequality X/4 ≥ -8, we need to isolate the variable X. Firstly, we can multiply both sides of the inequality by 4 to get rid of the denominator: X ≥ -32. This means that the value of X is greater than or equal to -32. In interval notation, we can represent this as (-32, ∞).

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Total amount of what?

$8.75 * 7.5

about $65.63

Forgive me if I'm wrong

Hope this helps!

Answer:

x = -1 , y = -4

Step-by-step explanation by elimination:

Solve the following system:

{8 y - 5 x = -27 | (equation 1)

7 y - 8 x = -20 | (equation 2)

Swap equation 1 with equation 2:

{-(8 x) + 7 y = -20 | (equation 1)

-(5 x) + 8 y = -27 | (equation 2)

Subtract 5/8 × (equation 1) from equation 2:

{-(8 x) + 7 y = -20 | (equation 1)

0 x+(29 y)/8 = (-29)/2 | (equation 2)

Multiply equation 2 by 8/29:

{-(8 x) + 7 y = -20 | (equation 1)

0 x+y = -4 | (equation 2)

Subtract 7 × (equation 2) from equation 1:

{-(8 x)+0 y = 8 | (equation 1)

0 x+y = -4 | (equation 2)

Divide equation 1 by -8:

{x+0 y = -1 | (equation 1)

0 x+y = -4 | (equation 2)

Collect results:

Answer:  {x = -1 , y = -4

7(x - 2) = 5(x + 4)

Multiply the first bracket by 7

(7)(x)=7x

(7)(-2)=-14

Multiply the second bracket by 5

(5)(x)=5x

(5)(4)=20

7x-14=5x+20

Move 5x to the other side. Sign changes from -5x to +5x.

7x-5x-14=5x-5x+20

7x-5x-14=20

2x-14=20

2x-14+14=20+14

2x=34

Divide both sides by 2

2x/2=34/2

Answer: x=17

Answer:

7(x-2)=5(x+4)

7x-14=5x+20

7x-5x=20+14

2x=34

x=17

Hey!

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

Answer:

w = -12 or w = 12

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

Explanation:

The lines on each side of the w stands for "absolute value". This means that whatever number is inside the two lines is positive regarding its sign.

|12| = 12

|-12| = 12

Since the equation has the negative symbol outside the two lines, it means that the absolute value will remain negative.

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

Hope This Helped! Good Luck!

The simplified equation from the given 3x + 9 + 4x + x = _x + _ is 8x + 9 = _x + _. This equation cannot be solved further without the values for the variables represented by the underscores.

The first step to solving the equation is to simplify it. Your original equation is 3x + 9 + 4x + x = _x + _. When we simplify the left side of the equation by combining like terms we get 8x + 9 = _x + _. However, the variables in the blanks on the right side of equation are unknown, so we can't solve it fully. But now you have a simpler equation to work with, and if you receive any additional information, you can substitute those values into your simplified equation.

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Answer:

Possible values of a =  2.58 and  -6.58.

Step-by-step explanation:

Using the distance formula

√(3- 1)^2 + (-2-a)^2) = 5

(3- 1)^2 + (-2-a)^2 = 25

4 + 4a + a^2 + 4 = 25

a^2  + 4a - 17 = 0

a = [-4 +/- √(4^2 - 4*1*-17) ] / 2

a =  -2 +/- √84 / 2

a =  2.58, -6.58.

Answer:

35000

Step-by-step explanation:

Multiply 7 by 5 and you would get 35, then add the zeros

Answer:

70*500= 35000

Step-by-step explanation:

let's keep in mind that we have denominators of 2, 4 and 2, and thus we can use their LCD of 4, and multiply both sides by that LCD to do away with the denominators, let's proceed,

[tex]\bf \cfrac{1}{2}n+\cfrac{3}{4}n=\cfrac{1}{2}\implies \stackrel{\textit{multipying both sides by }\stackrel{LCD}{4}}{4\left( \cfrac{1}{2}n+\cfrac{3}{4}n \right)=4\left( \cfrac{1}{2} \right)}\implies 2n+3n=2 \\\\\\ 5n=2\implies n=\cfrac{2}{5}[/tex]

Answer:

6<x>54 ASK YOUR TEACHER

Step-by-step explanation:

Final answer:

The time to complete a load of laundry ranges from a minimum of 42 minutes to a maximum of 58 minutes, combining the shortest and longest durations for both washing and drying cycles respectively.

Explanation:

The question asks about calculating the minimum and maximum total times for completing a load of laundry, including washing and drying cycles. The minimum time for washing is 22 minutes, and the minimum time for drying is 20 minutes. Therefore, the minimum total time to complete a load of laundry is 22 + 20 = 42 minutes.

On the other end, the maximum time for washing is 28 minutes, and the maximum time for drying is 30 minutes. The maximum total time to complete a load of laundry is 28 + 30 = 58 minutes.

In conclusion, the entire process of doing laundry, including both washing and drying, takes between 42 and 58 minutes in total.

Answer:

x = 5

Step-by-step explanation:

Screenshot below will explain the answer

[tex]\huge\boxed{\text{1. False}}[/tex]

Integers are the numbers in the set [tex]{..., -3, -2, -1, 0, 1, 2, 3, ...}[/tex]. This means that you can add two opposite integers to get [tex]0[/tex].

For example, [tex]-3+3=0[/tex].

[tex]\huge\boxed{\text{2. True}}[/tex]

When you add a negative number to another negative number, the only thing that can happen is that the result goes down.

For example, [tex](-3)+(-2)\ =\ -3-2\ =\ -5[/tex].

[tex]\huge\boxed{\text{3. 6}}[/tex]

Let's write this as an equation, where [tex]x[/tex] represents the unknown value. [tex]-6+x=0[/tex]

We need to isolate the variable by adding [tex]6[/tex] on both sides of the equation. [tex]x=\boxed{6}[/tex]

Answer:

1) false example -1+1=0

2) true

3) 6

Answer:

0.0362

Because the exponent is negative, you move the decimal to the left 2 times.

Move 5 units left and 4 units up

Final answer:

To plot the point (-5, 4) from the origin, move 5 units to the left and 4 units up in a standard Cartesian coordinate system.

Explanation:

To plot the point (-5, 4) starting from the origin in a standard Cartesian coordinate system, you would need to move 5 units left and 4 units up. This is because the x-coordinate is negative, indicating a movement to the left of the origin, and the y-coordinate is positive, indicating a movement above the origin.

The correct steps are as follows:

This method adheres to the standard convention that in an xy-coordinate system, right and up are positive directions, while left and down are negative.