6.) Eight of the 45 fourth-year students in Gryffindor want to attend the Yule Ball. If Gryffindor is
representative of the entire school, how many of the 585 students at Hogwarts will probably attend
the next dance?
7. Alicia Spinnet handled the quaffle 464 times in 131 Quidditch matches. At this rate, how many
times should she expect to handle the quaffle in a full season of 162 matches?
Plz plz plz helpppp
I need an answer ASAP!!! Tyyyy
Part A
x = amount of money she starts with
(4/9)x = cost of the dress
(5/9)x = amount of money leftover after buying the dress
note that 4/9 and 5/9 add to 1 to represent 100% of her money
(3/4)*(5/9)x = (15/36)x = (5/12)x = amount spent on shoes
We see that she spent 5/12 of her original amount of money on shoes.
-----------------------
We can look at a more concrete example if the previous section does not make sense.
Let's multiply the denominators 9 and 4 to get 9*4 = 36. Doing this trick will mean that the later steps won't involve decimal values.
Let's say she starts off with $36
Multiply that with 4/9 to get (4/9)*36 = 16. So in this hypothetical situation, the dress costs $16 and she's left with 36-16 = 20 dollars.
Multiply that 20 by 3/4 to get (3/4)*20 = 15
In this situation, the shoes cost $15
We'll then divide the cost of the shoes (15) over the original amount of money she started with (36)
15/36 = (3*5)/(3*12) = 5/12
-----------------------
Answer: 5/12=======================================================
Part B
From the first section in part A, we found that:
(4/9)x = amount of money spent on the dress(5/12)x = amount of money spent on shoesAdd those two expressions
(4/9)x + (5/12)x = (16/36)x + (15/36)x = (31/36)x
This indicates that buying the dress and shoes will cost (31/36)x dollars, where x is the original amount of money Jing has to start with.
The amount left over is (5/36)x because 5/36 adds with 31/36 to get 1.
Take 1/3 of this to get:
(1/3)*(5/36)x = (5/108)x
Then set this equal to 18 and solve for x
(5/108)x = 18
5x = 18*108
5x = 1944
x = 1944/5
x = 388.80
--------------------
Let's check the answer
If she starts with 388.80 dollars, then the dress costs (4/9)*388.80 = 172.80
She's left with 388.80 - 172.80 = 216 dollars after buying the dress.
She then spends the remaining 3/4 of that on shoes. So (3/4)*216 = 162 dollars is spent on the shoes.
Jing now has 216 - 162 = 54 dollars left over.
1/3 of which is spent on the shoe bag, meaning it costs (1/3)*54 = 18 dollars
This confirms our answer.
--------------------
Answer: $388.80Classify the following equation as Linear, Quadratic, or Neither
2x + 5y =7
Answer:
It is a Linear
Step-by-step explanation:
Linear ex: y = [tex]3_{x}[/tex] + 4 or 4 + [tex]3_{x}[/tex] = y
Quadratic ex: [tex]x^{2}[/tex] - 4x - 5 = 0
7 1/3- 1 1/5?
Please show work it would make it so much easier
Answer:
6 2/15
or 92/15
Step-by-step explanation:
To subtract mixed numbers, subtract the whole number parts of the mixed numbers and then subtract the fraction parts in the mixed numbers. Finally, combine the whole number answer and the fraction answer to express the answer as a mixed number. Subtract. Simplify the answer and write as a mixed number.
Answer:
6 2/15
Step-by-step explanation:
7 1/3 - 1 1/5
turn fractions in to common denominators
1/3 x 5 = 5/15
1/5 x 3 = 3/15
Now subtract fractions
7 5/15 - 1 3/15
= 6 2/15
Hallooo can someone help pls?
Answer:
x-axis: (18,0)
y-axis: (0,12)
quadrant 1: (4.5, 10.6)
quadrant 2: (-15, 21)
quadrant 3: (–3/4, –4 1/9)
quadrant 4: (3, –7)
Video One, a Blu-ray disc player manufacture, produces two model of Blu-ray players. The mini-blue, which can only play a Blu-ray disc and the media-blue that plays Blu-ray disc and contains a personal DVR. The players are assembled on two different assembly lines. Line 1 can assemble 3 units of the mini-blue model and 13 units of the media-blue model per hours, and Line 2 can assemble 4 units of the mini-blue model and 4 units of the media-blue model per hours. The company needs to produce at least 24 units of the mini-blue model and 64 units of the media-blue model to fill an order.Letx= the number of hours for Line 1Lety= the number of hours for Line 2.Write the system of inequalities≥24≥64Graph the system of inequalities.
The question is an illustration of inequalities and equation.
The system of inequalities are: [tex]\mathbf{3x + 4y \ge 24}[/tex] and [tex]\mathbf{13x + 4y = 64}[/tex]
Represent the number of hours for lines 1 and 2 with x and y.
So, we have:
Minibus
Line 1 = 3
Line 2 = 4
Total: At least 24
Media-blue
Line 1 = 13
Line 2 = 4
Total = 64
At least means greater than or equal to.
So, the system of inequalities are:
[tex]\mathbf{3x + 4y \ge 24}[/tex]
[tex]\mathbf{13x + 4y = 64}[/tex]
Read more about system of equations and inequalities at:
https://brainly.com/question/16339562
find the difference of (k+3)-(3k-5)
Step-by-step explanation:
(k + 3) - (3k - 5) = k + 3 - 3k + 5 [expand the brack and simplify like terms]
= -2k + 8
REPOST*
Which equation or inequality shows the relationship between the plotted points on the number line
A. 3 < -6
B.-6 > -3.
C.-6 < -3
D.-3 < -6
Answer:
C
Step-by-step explanation:
-6 is more to the left of the number line than -3
Convert 35cm/sec= M/min
Step by step
Answer:
2.9
Step-by-step explanation:
Which is equivalent to p ÷ –5/12?
Step-by-step explanation:
[tex] \frac{p}{( \frac{ - 5}{12} )} \\ = \frac{p}{ - 5} \times 12 \\ = \frac{ - 12p}{5} \\ thank \: you[/tex]
Use the diagram shown to answer the question. What are the sine and cosine values of a 60° angle?
Answer:
The answer would be A.
Step-by-step explanation:
Bruno put 7 liters of gas in his motorcyle.
How many milliliters was that?
Answer:
7000 milliliters
Step-by-step explanation:
1 liter = 1000 milliliters
1000 x 7 = 7000
Answer:
7000 milliliters
Step-by-step explanation:
7 Liters = 7000 milliliters.
HELP THIS IS DUE SOON
Answer:
function : 2 and 3
Step-by-step explanation:
a function cant have any overlapping points on the x axis, if you can draw a line up and down (vertical) and it hits two points then it isn’t a function
help please anyone if you know it help please
Solve for X
help plzzz i’ll give u brainliest
let f(x)=4x+1 and g(x)=-2x f(g(-2))
Answer:
fg(-2)=17
Step-by-step explanation:
fg(x)=4(-2x)+1
=-8x+1
fg(-2)=-8(-2)+1
=16+1
17
Please help , asap please
Answer: 14
Step-by-step explanation:
3+12 = 15. If the third side is 15, this would be two straight lines that overlap. The third side must be smaller that the sum of the other 2. The largest whole number would be 14.
How many meters are in a kilometer?
In a class full of men and women, 2/9 of the class are women
What is the ratio of men to women in its simplest form?
Step-by-step explanation:
9/9 (total no. of students) - 2/9 (women)
=7/9 (male)
= 7:9
If f(a) = 3a – a2, which of the following are not true statements?
Select all that apply.
f(4) = -4
f(3) = 0
f(-1) = 2
f(0) = 3
f(-5) = -40
Answer:
f(-1) = 2
f(0) = 3
Step-by-step explanation:
f(a) = 3a - a²
f(4)= 3*4-4²= -4 ⇒ correct
f(3)= 3*3-3²= 0 ⇒ correct
f(-1) = 3*(-1)-(-1)²=-3+1= -2 ⇒ incorrect
f(0) = 3*0-0²= 0 ⇒ incorrect
f(-5) = 3*(-5)-(-5)²= -15-25= -40 ⇒ correct
If there's 1 adult for every 6 kids how many adults would there be if there 66 kids?
Answer:
11 kids
Step-by-step explanation:
Answer: There would be 11 adults
Step-by-step explanation: if there are 66 kids and 1 parent for every 6 kids that would mean that you would have to divide 66 by 6 and 66 divided by 6 is 11
66 % 6 = 11
(the % sign is the closest sign on my keyboard to a division symble)
Find the greatest common factor (reverse of distributing)
Answer:
x is the greatest common factor
Answer:
4X-4XY=0
⇔4X(1-Y)=0
Step-by-step explanation:
with the help of three figures prove that the sum of two complementary angles is equal to 180 degree
Answer:
i have no idea
Step-by-step explanation:
i just dont know
What is the value of x2(4 - x) + 2 when x =
3?
Answer:
The answer is 11.
Step-by-step explanation:
You replace x with the value of 3 and solve.
Answer:
23
Step-by-step explanation:
3 × 2 × 4 - 3 + 2
Please help with this math problem ASAP! I will give brainliest!
Part A
Refer to the diagram below. Specifically, refer to figure 1.
Point P is added to form a right triangle.
J is at (-7,2) and P is at (11,2). Segment JP is 18 units long.
We split segment JP into 4 equal pieces to get 18/4 = 4.5; this result is added onto the x coordinate of J to get -7+4.5 = -2.5 which is the x coordinate of point Q. So Q is at (-2.5, 2)
The value -2.5 is the x coordinate of point S as well.
Notice how the ratio JQ:QP is equal to 1:3.
----------
The distance from P to H is 6 units, which divided into four pieces means 6/4 = 1.5 is added onto the y coordinate of P to get 2+1.5 = 3.5; this is the y coordinate of points R and S as the diagram indicates. Like in the previous section, the ratio PR:RH is equal to 1:3
So ultimately point S is located at (-2.5, 3.5)
If we used the distance formula to compute the lengths of segments JS and SH, then we should find that they are in the ratio 1:3. In other words, segment SH is 3 times longer compared to segment JS. This would help confirm the answer. I'll let you do this confirmation part.
Answer: (-2.5, 3.5)============================================================
Part B
Refer to figure 2 this time.
We'll have a similar thing going on here as done in part A, though the points Q and R are in different locations.
To find where Q must be, we take 5/6 of the distance from J to P (which we found was 18 units). So (5/6)*18 = 15. This 15 is added onto the x coordinate of J to get -7+15 = 8. This is the x coordinate of point Q and point T.
Similarly, (5/6)*(length of segment PH) = (5/6)*6 = 5 is added onto the y coordinate of P to form the point R(11,7). The y coordinate of this helps form the y coordinate of the point T.
In short, point T is located at (8,7)
You should find that JS/SH is equal to 5/6 when you apply the distance formula to compute the lengths of JS and SH. I'll let you do this confirmation.
Answer: (8,7)La división de un segmento de recta en n partes tiene un caso especial que es cuando el segmento se divide en dos partes iguales. En este caso se dice que el punto que divide al segmento en dos partes iguales, corresponde al punto medio del segmento de recta AB. Deduce las ecuaciones para k, xr y yr para este caso especial.
Answer: Creo que es correcto
Step-by-step explanation: Porque si realmente lo piensas, probablemente lo entenderías, así que sí, y espero haberte ayudado.
How many medians a triangle can have?
Answer:
3
Step-by-step explanation:
I NEED HELP WITH GEOMETRY
Consider the graphs of j(x) = = 7 sin (6x- pi/2) +11 and k(x) = 7 sin(6x- pi/2) - 11. Which feature of the graph of k(x) is different from the graph of j(x)?
Answer: the vertical shift
Step-by-step explanation:
The vertical shift because the first equation j(x) is shifted up 11 while k(x) is shifted down 11. D in the equation y=acos/sin(bx-c)+d indicates if an object is moving vertically up or down.
The graph of k(x) have Vertical shifted down and graph of j(x) Vertical shifted up 11.
What is Translation?Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.
For example, this transformation moves the parallelogram to the right 5 units and up 3 units. It is written ( x , y ) → ( x + 5 , y + 3 ) .
Given:
j(x) = = 7 sin (6x- pi/2) +11
k(x) = 7 sin(6x- pi/2) - 11.
The +11 in j(x) shows the Vertical shift up.
and, the '-11' in k(x) shows the Vertical shifted down 11.
Hence, the difference is of the vertical shifting up or down.
Learn more about Translation here:
https://brainly.com/question/12463306
#SPJ2
Select all the statements that best describe the graph below.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choices are :
the dependent variable is y the rate of change is not constant independent variable is x This is a negative relationship The relationship is nonlinear