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

Given : Solve 7/5 = x/3

Solution :

Henceforth, the answer is 4.2

Answer:

see explanation

Step-by-step explanation:

let the two consecutive odd numbers be n and n + 2 , then

n + n + 2 = 148 , collect like terms

2n + 2 = 148 ( subtract 2 from both sides )

2n = 146 ( divide both sides by 2 )

n = 73

n + 2 = 73 + 2 = 75

The 2 numbers are 73 and 75

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

let width be w then length = 2w - 6

The perimeter (P) is calculated as

P = 2(width + length) , then

2(w + 2w - 6) = 54 ( divide both sides by 2 )

w + 2w - 6 = 27 , collect like terms

3w - 6 = 27 ( add 6 to both sides )

3w = 33 ( divide both sides by 3 )

w = 11

2w - 6 = 2(11) - 6 = 22 - 6 = 16

length = 16 in and width = 11 in

Hello,

Answer: 73,75

Step-by-step explanation:

1st Question Answer

x -> 1st

x+2 -> 2nd

So... Since it is equal to 148 then we write...

x+x+2=148

Combine Like Terms

2x+2=148

Subtract 2 from both sides

2x=146

Divide 2 to both sides

x=73 and +2 = 75

In Final: The two consecutive odd integers are 73 and 75

2nd question)

Width of rectangle is x inches

2x-6

Since perimeter = 2(length+witdth)

54 = 2(2W - 6) + 2W,  (substitute P = 54 and L = 2W - 6)

66=6w

w=11

To find the length: Substitute

54=2l+2(11)

32=2L

L=16

Answer:

2nd option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

6x + 2y = 28 ( subtract 6x from both sides )

2y = - 6x + 28 ( divide the terms by 2 )

y = - 3x + 14 ← in slope- intercept form

Answer:

y= -3x + 14

Explanation:

6x + 2y=28

2y= -6x +28

Therefore, y= -3x +14

Answer:

A= 5

B= 33

C is ( every two squares on the graph equals one pupil.

Step-by-step explanation:

Answer:

A)5

B)33 students

C)Not many students scored highly on the test. Only about 15% got a 90 or above.

Answer:

108/125

Step-by-step explanation:

Answer:

The answer would be 108/125

Answer:

f. 260 in by 100 in

Step-by-step explanation:

13 + 5 = 18

720/18 = 40

Find length:

40*13 = 520

520/2 = 260 <-- must divide by 2, 520 is the sum of twice the length

Find width:

40*5 = 200

200/2 = 100 <-- must divide by 2, 200 is the sum of twice the width

Answer:

x [tex]\leq[/tex] 3

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] - [tex]\frac{1}{4}[/tex]x [tex]\geq[/tex] - [tex]\frac{1}{4}[/tex]

the first step is to subtract [tex]\frac{1}{2}[/tex] from both sides of the equation.

[tex]\frac{1}{2}[/tex] - [tex]\frac{1}{4}[/tex]x [tex]\geq[/tex] - [tex]\frac{1}{4}[/tex]

-[tex]\frac{1}{2}[/tex]         - [tex]\frac{1}{2}[/tex]

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

-[tex]\frac{1}{4}[/tex]x [tex]\geq[/tex] - [tex]\frac{3}{4}[/tex]

then, divide both sides of the equation by - [tex]\frac{1}{4}[/tex].

x [tex]\leq[/tex] 3

(since we divided both sides by a negative number, to isolate x, the [tex]\geq[/tex] changed to [tex]\leq[/tex].)

Answer:

1/2 - 1/4x ≥ -1/4

multiply both sides by the l.c.m of the both sides(4)

4(1/2 - 1/4x )≥ -1/4 ×4

2 - x ≥ -1

Collect the like terms

-x ≥ -3

Divide both sides by -1

x ≤ 3(when you divide by a negative number the equality changes)

Answer: the answer is 21

Step-by-step explanation:

Answer:

C, 10^3

Step-by-step explanation:

To get from 22 to 22000, you need to times by 1000. The power in this case represents the amount of zeros added to a number. Hope this helped!

10³ multiply 22 by to get an answer of 22,000.

The correct option is (D)

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

We have to multiply 22 such that it gives 22, 000.

let the number that being multiplied be x.

So, 22x = 22000

x= 22000/22

x= 1000

x= 10³

Hence, 10³ multiply 22 by to get an answer of 22,000.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ2

The expression that can be formed by the given sentence is 8x² - 5.

So, for the expression as follows:

Eight and a number squared decreased by 5 can be:

Now, let the number be 'x'.

Hence, the expression we obtain is:

Therefore, the expression that can be formed by the given sentence is 8x² - 5.

Know more about expressions here:

https://brainly.com/question/28934492

#SPJ2

Answer:

Yes. good job :)

keep up the good work 0u0

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

70^2 = 4900 < 5607 < 6400 = 80^2

so sqrt(5607) is a two-digit number with tenth-digit 7

71^2 = 5041, 72^2 = 5184, 73^2 = 5329, 74^2 = 5476, 75^2 = 5625

so the smallest square bigger than 5607 is 75^2, which is 5625

so the number should ne 5625 - 5607 = 18

the answer is the second one

-7

Step-by-step explanation:

an= a1+(n-1)d

a1= 31

n= 4

d=7 (pattern; it subtracts 7)

[tex]a_{n}=31+(n-1)7[/tex]

here is with the equation hope this helps

Answer: what question

Step-by-step explanation:

the answer is b. y-5=1/2(x+3)^2

9514 1404 393

Answer:

  B.  y -5 = (1/2)(x +3)^2

Step-by-step explanation:

The parent function f(x) = x^2 has been shifted left 3 and up 5, and scaled vertically. The translation of the vertex to (h, k) can be modeled by ...

  y -k = a(x -h)^2

For (h, k) = (-3, 5), the form of the answer will be ...

  y -5 = a(x +3)^2

Only one answer choice has that form.

_____

Additional comment

The coefficient 'a' will be positive when the parabola opens upward. This eliminates choices A and C. Choice D represents a translation of 3 units right and 5 units down—directions opposite of those shown on this graph.

Answer:

three hundred forty-six point seven hundred twenty five. Or three hundred forty-five and three hundred forty-five thousandths

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Quadratic means degree 2

Answer:

2 and 4

Step-by-step explanation:

Answer:

To find the inverse, interchange the variables and solve for

y

.

f

−

1

(

m

)

=

m

x

−

b

x

Step-by-step explanation:

Answer:

X = 20

Step-by-step explanation:

Hope this helps! If you need the explanation, let me know. Pls give brainliest!

Answer:

[tex]{20}^{o} [/tex]

Step-by-step explanation:

hint alternate angles are equal,

the angle portrayed in the diagram are alternate angles ,ie equal,

for an equation equating the two angles then solve for x

ie,

[tex]3x = 2x + 20 \\ 3x - 2x = 20 \\ x = 20[/tex]

Answer:

-4 1/2

Step-by-step explanation:

Answer:

k= 4

Step-by-step explanation:

g(x) is the units higher than f(x) which means k=4

Step-by-step explanation:

[tex]\sf \leadsto \dfrac{5y - 2}{4(y + 2)} = \dfrac{1}{3}[/tex]

[tex]\sf \leadsto \dfrac{5y - 2}{4y + 8} = \dfrac{1}{3}[/tex]

[tex]\sf \leadsto 3(5y - 2) = 1(4y + 8)[/tex]

[tex]\sf \leadsto 15y - 6 = 4y + 8[/tex]

[tex]\sf \leadsto 15y - 4y = 8 + 6[/tex]

[tex]\sf \leadsto 11y = 14[/tex]

[tex]\sf \leadsto y = \dfrac{14}{11}[/tex]

Answer:y=14/11

Step-by-step explanation:

Answer:

827.5( to four significant figures)

Answer:neither, neither, perpendicular , neither

parallel

Step-by-step explanation:put each line in the form y=mx+b

if m=m they are parallel

if m times m = -1 they are perpendicular

if the m’s are unrelated than neither