Enter the corredeach column.4. Madam Malkin owns Madam Malkin's Robes for AllOcassions which is a clothing store. She has abudget of $6000 to restock 200 clothing items.She can buy Hogwarts shirts for $12 each, Robes for$24 each, and Quidditch shirts for $36 each. If shewants to have twice as many Quidditch shirts asRobes, how many of each type of shirt should shebuy?11)223HOW MANY QUIDDITCH SHIRTS DID MADAMMALKIN BUY?445

Answers

Answer 1

Let's define some notation first:

H= number of Hogwarts, R= number of robes, Q= number of Quidditch

We can set up the following equation for the total of clothing items:

[tex]H+R+Q=200[/tex]

We also know that Q= 2R so we have:

[tex]H+3R=200[/tex]

Now we can create an equation for the amount of money and we have:

[tex]12H+24R+36Q=6000[/tex][tex]12H+96R=6000[/tex]

Now we can replace H=200-3R and we got:

[tex]12(200-3R)+96R=6000[/tex]

And solving for R we got:

[tex]60R=3600[/tex][tex]R=\frac{3600}{60}=60[/tex]

And then Q would be:

[tex]Q=2R=120[/tex]

Enter The Corredeach Column.4. Madam Malkin Owns Madam Malkin's Robes For AllOcassions Which Is A Clothing

Related Questions

A square has an area of 144 ft^2 what is the length of each side

Answers

Answer:   12 feet

This is because [tex]12^2 = 12*12 = 144[/tex]

Squaring a number means you multiply it with itself.

The square root goes in reverse to have [tex]\sqrt{144} = 12[/tex]

Answer:

Each side is 12 ft long.

Step-by-step explanation:

So, you have a square, which means all of the sides are going to be the same length. So, you need something times itself that equals 144. Or, you need the square root of 144 (Because when something is squared, it is multiplied by itself). And the square root of 144 is 12.

Solve for xF(x)=2x+10

Answers

So:

f(x) = 2x + 10

To solve for x, we are going to subtract 10 on both sides of the equation:

f(x) - 10 = 2x + 10 - 10

f(x) - 10 = 2x

Then, dividing by 2, we get:

[tex]\begin{gathered} \frac{f(x)-10}{2}=\frac{2x}{2} \\ \frac{1}{2}f(x)-5=x \end{gathered}[/tex]

Answer:

[tex]x=\frac{1}{2}f(x)-5[/tex]

Use the square root property to solve the equation.x² = 36Select one:O A. (18)O B. {16}O C. {±6i}O D. {6}

Answers

Given the equation

[tex]x^2=36[/tex][tex]x=\sqrt{36}[/tex][tex]x=\pm6[/tex]

Then

The Correct answer is

Option D 6

Circumference =96cm, find radius, diameter and area ​

Answers

The Radius is 15.27 cm and the the Diameter is 30.55 cm

Given

Circumference = 96cm

Circumference is the total arc length of a circle or it is simply the perimeter of a circle.

The formula for circumference is 2πr

where π = Ratio of circumference to the diameter of a circle

π = 3.14

r = Radius of the circle

Substituting the value in the formula we get

2πr = 96 cm

πr = 48 cm

r = 15.27 cm

Diameter (d)  = 2 × r

hence        d = 2 × 15.27 cm

                 d = 30.55 cm

Hence the radius = 15.7cm

Diameter = 30.55 cm

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Write the equation of the line with a slopeof -3 that passes through (-5,20)

Answers

The equation of the line which passes through point (-5,20), with a slope of -3 is y = -3x + 5.

How yo determine the equation of line from a point and slope?

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the data in the question;

Slope m = -3

Point ( -5,20 )

x = -5y = 20

First, we find the y-intercept 'b', by plug the slope m ( -3 ) and point  ( -5,20 ) into the equation of line formula and solving for b.

y = mx + b

20 = (-3)(-5) + b

20 = 15 + b

b = 20 - 15

b = 5

Now that both the slope m and y-intercept b is known, plug these into y = mx + b to determine the equation of the line.

y = (-3)x + 5

y = -3x + 5

Therefore, the linear equation of the line is y = -3x + 5.

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Reduce the vector shown to its (X) horizontal component. (Round your final answer to two decimal places.)

Answers

The horizontal component of the provided vector is 100cos35 or 8.19 after reducing.

What is a vector?

It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.

It is given that:

The vector is shown in the picture.

Let's draw an imaginary line from the tail of the vector and it makes the angle between the imaginary line and the vector 35 degrees.

The horizontal component of the vector:

H = 100cos35

The value of the cos35 is 0.819

H = 10(0.819)

H = 8.19

Thus, the horizontal component of the provided vector is 100cos35 or 8.19 after reducing.

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1/3 (x + 5) + x = 4 ( x - 4) -9

Answers

[tex]\frac{1}{3}(x+5)+x=4(x-4)-9[/tex]

Distributing and combining similar terms

[tex]\begin{gathered} \frac{1}{3}\cdot x+\frac{1}{3}\cdot5+x=4\cdot x-4\cdot4-9 \\ \frac{1}{3}x+x+\frac{5}{3}=4x-16-9 \\ \frac{4}{3}x+\frac{5}{3}=4x-25 \end{gathered}[/tex]

Subtracting 4/3x at both sides

[tex]\begin{gathered} \frac{4}{3}x+\frac{5}{3}-\frac{4}{3}x=4x-25-\frac{4}{3}x \\ \frac{5}{3}=(4-\frac{4}{3})x-25 \\ \frac{5}{3}=(\frac{4\cdot3-4}{3})x-25 \\ \frac{5}{3}=\frac{8}{3}x-25 \end{gathered}[/tex]

Adding 25 at both sides:

[tex]\begin{gathered} \frac{5}{3}+25=\frac{8}{3}x-25+25 \\ \frac{5+25\cdot3}{3}=\frac{8}{3}x \\ \frac{80}{3}=\frac{8}{3}x \end{gathered}[/tex]

Multiplying by 3/8 at both sides

[tex]\begin{gathered} \frac{80}{3}\cdot\frac{3}{8}=\frac{8}{3}x\cdot\frac{3}{8} \\ \frac{80}{8}=x \\ 10=x \end{gathered}[/tex]

Answer:

x=10 am not sure

Step-by-step explanation:

I need help figuring out the measures of the missing sides

Answers

Given:

• c = 20

,

• h = 15

,

• j = 12

,

• k = 16

Let's find the measures of the mssing sides if triangle ABC is similar to triangle JKH.

Here, the missing sides are:

Side a and Side b

Since both triangles are similar, the corresponding sides will be proportional.

To solve for the length of side a, apply the proportionality equation:

[tex]\frac{c}{h}=\frac{a}{j}[/tex]

Plug in values and solve for a:

[tex]\begin{gathered} \frac{20}{15}=\frac{a}{12} \\ \\ \text{ Cross multiply:} \\ 15a=20*12 \\ \\ 15a=240 \\ \text{ } \\ \text{ Divide both sides by 15:} \\ \frac{15a}{15}=\frac{240}{15} \\ \\ a=16 \end{gathered}[/tex]

Thereofore, the length of side a = 16

To solve for the length of side b, apply the equation:

[tex]\frac{c}{h}=\frac{b}{k}[/tex]

Plug in the values for the variables and solve for b:

[tex]\begin{gathered} \frac{20}{15}=\frac{b}{16} \\ \\ 15b=20*16 \\ \\ 15b=320 \\ \\ b=\frac{320}{15} \\ \\ b=21.3 \end{gathered}[/tex]

The length of b is 21.3

ANSWER:

• a = 16

,

• b = 21.3

Solve the following equation:
4x - 3 = 12 + x

A x = 45

B x = 15

C x = 5

D x = 3

Answers

Answer:

C    x = 5

Step-by-step explanation:

4x - 3 = 12 + x

Add 3 on both sides:
4x - 3 + 3 = 12 + 3 + x

4x = 15 + x

Subtract x from both sides:
4x - x = 15 + x - x

3x = 15

x = 15/3

or

x = 5

Answer:

[tex]4x - 3 = 12 + x \\ \\ ➪4x - x = 12 + 3 \\ \\ ➪3x = 15 \\ \\ ➪x = \frac{15}{3} = 5[/tex]

C] x = 5 Is ᴛʜᴇ ʀɪɢʜᴛ ᴀɴsᴡᴇʀ.

Rewrite the expression 26 + 8 as the product of the GCF (greatest common factor) and a sum. Then, simplify the expression. Show all of your steps.

Answers

The expression 26+8 as the product of the GCF and a sum will be; 2(13+4).

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that we have the expression as 26+8

We have to find the greatest common factor of the numbers 26 and 8.

26 = 2 × 13

8 = 2 × 2 × 2

Then Multiply all the prime factors, both numbers share in order to determine the GCF:

Therefore, GCF = 2

Now we can write the expression as;

26 + 8

=2(13 + 4)

=2×17

=34

Hence. the required expression will be; 2(13 + 4).

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I need help with this!!

Answers

Answer:

Step-by-step explanation:

Find the expected value of the winningsfrom a game that has the followingpayout probability distribution:Payout ($) 1 2 5 8 10Probability 0.35 0.2 0.1 0.2 0.15Expected Value = [?]Round to the nearest hundredth.

Answers

On the frequency table, you can see the payouts of the lottery and the corresponding probabilities for every payout. To determine the expected payout, you have to multiply each possible price by its corresponding probability and add the results, following the formula:

[tex]E(X)=\sum ^{10}_{n\mathop=1}x_i\cdot P(x_i)[/tex][tex]\begin{gathered} E(X)=(1\cdot0.35)+(2\cdot0.20)+(5\cdot0.10)+(8\cdot0.20)+(10\cdot0.15) \\ E(X)=0.35+0.4+0.5+1.6+1.5 \\ E(X)=4.35 \end{gathered}[/tex]

The expected payout for the lottery is $4.35

What is the slope of the line?
*2
*1/2
*-1/2
*-2

Answers

The answer is 2 m = -4 / -2 = -2 / -1 = 2

HELP PLEASE
thank youuu​

Answers

Answer:

a/c

Step-by-step explanation:

Sine is always the side opposite the angle and the hypotenuse

Answer:

[tex]\large \text{Second Choice: $\dfrac{a}{c}$}[/tex]

Step-by-step explanation:

For any given triangle, the Law Of Sines states that the ratio of each side to the sine of the angle opposite that side is the same

So we have
[tex]\dfrac{a}{\sin \angle F} = \dfrac{c}{\sin \angle 90} = \dfrac{b}{\sin \angle G} \\\\[/tex]

[tex]\sin \angle 90 = 1[/tex]

So we get from the first two ratio equality,
[tex]\dfrac{a}{\sin \angle F} = \dfrac{c}{1} \\\\\\\dfrac{a}{\sin \angle F} = c\\\\\\\dfrac{a}{c} = sin \angle F\\\\[/tex]

Or, in other words,


[tex]\sin \angle F = \dfrac{a}{c}[/tex]

Cars enter a car wash at a mean rate of 4 cars per half an hour. What is the probability that, in any hour, exactly 4 cars will enter the car wash? Round your answer to four decimal places.

Answers

The probability that, in any hour, exactly 5 cars will enter the car wash is P(x = 5) = 0.0920.

This can be modeled as a Poisson random variable.

The mean rate is the parameter of the Poisson distribution:

λ = 4 cars/30 mins

λ = 8 cars/hr

The probability that exactly k cars will enter the car wash can be calculated as:

P(x = k) = ([tex]8^{k}[/tex] × [tex]e^{-8}[/tex]) ÷ k!

Then, the probability that exactly 5 cars will enter the car wash for k=5 is:

P(5) = ([tex]8^{5}[/tex] × [tex]e^{-8}[/tex]) ÷ 5!

P(5) = (32768 × 0.0003) ÷ 120

P(5) = 0.0920

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what 3 factors were used to create this product game board with the numbers 4 6 9 14 49?

What product is missing?

Answers

By using 3 factors 2, 3, and 7, if we create a product game board with the numbers 4 6 9 14 49 then the missing product is 21.

To solve this problem we have to follow a few steps. First, we should know about factors.

What are the factors?

Factors of a number are such numbers as they can divide the whole number without remaining.

Example: The factors of 24 are 1, 2, 3, 4, 6, 8, and 12.

Now we have to analyze the given numbers,

4 = 2× 2

6 = 2× 3

9 = 3× 3

14 = 2× 7

49 = 7× 7

The factors are 2, 3, and 7. Therefore, the missing product is, 3× 7= 21

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[20] A food label shows a total of 448 calories for 4 servings. How many
calories would that be per serving?

Answers

Answer:

112

Step-by-step explanation:

448/4=112

Determine whether the values in the table
are best modeled by a linear or nonlinear
function. (Lesson 2-2)
X
-2
0
2
4
6
y
6555o

Answers

Answer: nonlinear function

Step-by-step explanation:

The rate at which y increases is not constant with respect to x.

The ratio of children to teachers at a preeschool is 14:5 .How many children are there at the preschool if there are 30 teachers

Answers

Answer:

84

Step-by-step explanation:

5*6=30

14*6=84

If you need further explanation just tell me!

Answer:   84 children

Work Shown:

(14 children)/(5 teachers) = (x children)/(30 teachers)

14/5 = x/30

14*30 = 5*x

420 = 5x

5x = 420

x = 420/5

x = 84

A clothing designer is selecting models to walk the runway for her fashion show.
The designer prefers models that are no more than 3 inches away from being 5'10".
Since 5'10" is the same as 70 inches, write an inequality - in terms of inches - that
could be used to determine if a model's height is within the designer's preferred height
range.

Answers

Using proportions, the inequality that could be used to determine if a model's height is within the designer's preferred height range is of:

67 inches ≤ Height ≤ 73 inches.

What is a proportion?

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using operations such as multiplication and division, from the unit rates in the context of the problem.

One example of application of proportions is for conversion of units, as there are rates for each unit.

In the context of this problem, the rate used is:

1 feet = 12 inches.

Hence the measure of 5'10" = 5 feet and 10 inches is given by:

5 x 12 + 10 = 60 + 10 = 70 inches.

The heights that are within 3 inches of 70 inches are given by:

70 - 3 = 67 inches.70 + 3 = 73 inches.

Hence the inequality that models the situation is:

67 inches ≤ Height ≤ 73 inches.

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If PQ = 6x - q and PR = 15x - 29, then QR =?

Answers

[tex]\begin{gathered} PQ=6x-1 \\ PR=15x-29 \\ QR=? \\ QR=PR-PQ \\ QR=15x-29-(6x-1) \\ QR=15x-29-6x+1 \\ QR=9x-28 \\ 2PQ=PR \\ 2(6x-1)=15x-29 \\ 12x-2=15x-29 \\ 12x-15x=-29+2 \\ -3x=-27 \\ x=\frac{27}{3} \\ x=9 \\ QR=9(9)-28 \\ QR=81-28 \\ QR=53 \\ \text{The value of QR is 53} \end{gathered}[/tex]

Bharat types 20 words/min. How many words can he type in each length of time? a) 5 min b) 30 min c) 23 min

Answers

Bharat can type words in lengths of time as 100 words, 600 words, and 460 words in 5 minutes, 30 minutes, and 23 minutes respectively.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

* Multiplication operation: Multiplies values on either side of the operator

For example 12×2 = 24

Bharat types 20 words per minute which are given in the question.

To determine the number of words can he type in each length of time

We have to multiply the time by his typing speed.

The number of words that can be typed by Bharat in 5 minutes :

⇒ 20 × 5

⇒ 100

The number of words that can be typed by Bharat in 30 minutes :

⇒ 20 × 30

⇒ 600

The number of words that can be typed by Bharat in 23 minutes :

⇒ 20 × 23

⇒ 460

Therefore, He can type words in lengths of time as 100 words, 600 words, and 460 words in 5 minutes, 30 minutes, and 23 minutes respectively.

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A test requires that you answer either part A or part B. Part A consists of 6 true-false questions, and part B consists of 6 multiple-choice questions with one correct answer out of six. How many different completed answer sheets are possible?

Answers

If a test requires that you answer either part A or part B. Part A consists of 6 true-false questions, and part B consists of 6 multiple-choice questions with one correct answer out of six. 46720 different completed answer sheets are possible.

What is Combination?

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items.

A test requires that you answer either part A or part B.

Part A consists of 6 true-false questions.

i.e.  there are 2 choices to answer each question

Now, the number of ways to answer Part A :  2⁶=64   (1)

Part B consists of 6 multiple-choice questions with one correct answer out of five.

i.e.  there are 6 choices to answer each question.

Now, the number of ways to answer Part B : 6⁶=46656

Now, the number of  different ways to completed answer sheets are possible= 46656+64

=46720

Hence 46720 different completed answer sheets are possible.

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The Lawrence family needed to cut expenses on their cell and landline phone service, cable television service, and Internet service. Here are the best prices they found forbasic service, using different service providers: Cell Phone Service: $36.45 per month Landline Phone Service: $30.11 per month Cable TV Service: $57.43 per monthInternet Service: $37.32 per month They found a company with a package deal with all 4 services for $131.59. What is the percentage decrease by purchasing the packagedeal?15.8%16.5%17.7%18.4%None of these choices are correct

Answers

Given:

Cell Phone Service, x=$36.45 per month

Landline Phone Service, y= $30.11 per month

Cable TV Service, z=$57.43 per month

Internet Service, p= $37.32 per month

The price for a package of all services, P=$131.59.

The total price of services before purchasing the package is,

[tex]T=36.45+30.11+57.43+37.32=161.31[/tex]

Now, the percentage decrease by purchasing the package is,

[tex]\begin{gathered} \text{Percentage}=\frac{T-P}{T}\times100 \\ =\frac{161.31-131.59}{161.31}\times100 \\ =18.4 \end{gathered}[/tex]

Therefore, the percentage decrease by purchasing the package is 18.4%.

Composition of Functions and Inverses:Question 7Which expression represents f(f(x)) if f(x) = x2 – 1? A. 2x ^2-2 B. X^4-2x^2+1C. XD. X^4-2x^2

Answers

To solve the question, we will follow the steps below:

[tex]f(x)=x^2-1[/tex]

To find f(f(x)), we will simply replace x by x² - 1 in the function x² - 1

That is:

f((fx)) = (x²-1)² - 1

Then we open the parenthesis

f(f(x)) = (x² - 1)(x² -1) - 1

=x²(x²-1)-1(x²-1) - 1

= x⁴ - x² - x² + 1 - 1

= x⁴ - 2x²

So the correct option is option D. which is x⁴ - 2x²

- A fireworks show starts at 9:00 P.M.
Orange rockets burst every 1.5 minutes,
green rockets burst every 30 seconds,
and silver showers burst every minute. [
What time is it when all three burst at
the same time?
A. 9:03 P.M.
C. 9:10 P.M.
BLcatc21
B. 9:05 P.M.
D. 9:25 P.M.

Answers

A. 9:03PM

I hope this helps

What is the image of point (-3,-1) under a reflection in the origin?
(1) (3,1)
(3) (1,3)
(2) (-3,1)
(4) (-1,-3)

Answers

The image of point (-3,-1) under a reflection in the origin( 3 , 1 )

Point (x, y) is reflected over the line y = x, and the reflection is (y, x)

Find the point of a reflection on a point by what method?

The x-coordinate and y-coordinate of a point change positions when it is reflected across the line y = x. The x- and y-coordinates shift positions and are negated when a point is mirrored across the line y = -x. Therefore, Point (x, y) is reflected over the line y = x, and the reflection is (y, x)

following a reflection, a 3-1 picture Reason: A(3,1) becomes A'(3,3+3(1)), or A', when it is reflected over y=3 (3,7)

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Consider parallelogram VWXY below.Use the information given in the figure to find mZY, mZYVX, and x.म7503903xmZY - •mZYVX - _х$12

Answers

In a parallelogram, opposite angles are congruent, this means that,

[tex]\begin{gathered} m\angle Y=m\angle W \\ m\angle Y=75 \end{gathered}[/tex]

Similarly, in a parallelogram, we have that angles in green are congruent because they are alternate interior angles:

This implies that

[tex]m\angle YVX=39[/tex]

On the other hand, opposite sides are congruent, this implies that

[tex]3x=12[/tex]

Then, by moving 3 to the right hand side, we get

[tex]\begin{gathered} x=\frac{12}{3} \\ x=4 \end{gathered}[/tex]

Therefore, the answers are

[tex]\begin{gathered} m\angle Y=75 \\ m\angle YVX=39 \\ x=4 \end{gathered}[/tex]

What is the equation of this line?

Answers

The equation of this line is y =4.

What is the Equation of line?The equation y = mx + c, where m is the gradient of the line (how steep the line is), and c is the y-intercept, is the universal equation of any straight line (the point in which the line crosses the y-axis).In the linear equation y = mx + c, the variables x and y correspond to points on the line.We get a result for y when we enter a value for x into the equation y = mx + c.In light of the fact that y depends on the value of x, x is an independent variable and y is a dependent variable.

From the given graph we can infer that line A is a horizontal line

It can be expressed in the form y = constant

Hence the equation of this line is y = 4

Similarly, from the given graph we can infer that line B is a vertical line

It can be expressed in the form x = constant

Hence the equation of this line is x = 8

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PLEASE HELP! Sharel received a bank account statement report the recent changes to her account. The statement showed an overall increase in the account balance of $4,317.59. During the time shown on the statement, Sharel was paid three times and withdrew a total of $1,230.67 to cover all her bills and expenses. How much (x) is each of Sharel's paychecks? Write an equation to represent this situation.

Answers

I believe it is 4,317.59 + (x •3) - 1,230.67
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