In Holborn School there are
460 students in Key Stage 3
320 students in Key Stage 4
165 students in Key Stage 5
Nimer is carrying out a survey.
He needs a sample of 100 students stratified by Key Stage.
Work out the number of students from Key Stage 3 there should be in the sample.
(2 marks)
students
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Answer:

f(x) = [tex]3x^{3} - 6x^{2} - 15x + 30[/tex]

Step-by-step explanation:

If  [tex]\sqrt{5}[/tex]  is a root, then so is -[tex]\sqrt{5}[/tex]

f(x) = 3(x + [tex]\sqrt{5}[/tex])(x - [tex]\sqrt{5}[/tex])(x - 2)

     = [tex]3(x^{2} - 5)(x - 2)[/tex]

     = 3([tex]x^{3} - 2x^{2} - 5x + 10[/tex])

     = [tex]3x^{3} - 6x^{2} - 15x + 30[/tex]

The two purple ones are the parallelograms

Hope this helps! ^^

Answer:

All of them are parallelograms because.....

Step-by-step explanation:

parallelograms have for sides and all of them have for sides

NVM sorry this is wrong i got the wrong word

Answer:

b

Step-by-step explanation:

Answer:

I think its B

Step-by-step explanation:

pls tell me if im wrong D:

Answer:

2 decimal places

Step-by-step explanation:

just simple count the number of decimal points on both sides

Answer:

1 2/3

Step-by-step explanation:

7 1/2x2/9

The required number of tiles will be 34 covering the length of the entryway.

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

We have been given that the tiles are each 2/9 feet long, and the entryway is 7 1/2 feet long.

We have to determine the number of tiles will he need to buy in order to cover the length of the entryway.

According to the given question, the required solution would be as:

So the number of tiles covering the length of the entryway will be

⇒ 7 1/2 ÷ (2/9)

⇒ 15/2 ÷ (2/9)

⇒ 15/2 / (2/9)

Reciprocal the term in the denominator

⇒ (15/2) x (9/2)

Apply the multiplication operation,

⇒ 135/4

Apply the division operation,

⇒ 34

Thus, the required number of tiles will be 34 covering the length of the entryway.

Learn more about Multiplication operations here:

brainly.com/question/25834626

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answer: an equation is a set of numbers put together within a problem that you are meant to solve in order to receive the final answer.

Answer: 64 ................ :)

Step-by-step explanation:

Answer:

64cm^3

Step-by-step explanation:

The formula for volume is: V=l•w•h

So V= 8•2•4

8•2= 16

16•4= 64

hope this helps chu <3

Answer:

Option D

Step-by-step explanation:

McKenzie wants to put the soil in a box with the soil height = (10 - 2) inches

(As she plans to keep 2 inches from the top of the box empty)

Length of the box = 8 inches

Width of the box = 12 inches

Since, soil in the box will get the dimensions same as of the box but the height will be 2 inches less than the box height.

Therefore, volume of the soil = Length × Width × height

V = 8 × 12 × (10 - 2)

Option D will be the answer.

Answer:

1128 Yard²

Step-by-step explanation:

From the question,

The surface area of a triangular prism is

A = bh+H(a+b+c)...................... Equation 1

Where a = First side of the triangular face, b = base of the triangular face, c = the other side of the triangular face, H = heigth of the prism, h = height of the triangular face

Given: a = 15 yard, b = 18 yards, c = 15 yards, h = 12 yards, H = 19 yards.

Substitute these values into equation 1

A = (18×12)+ 19(15+15+18)

A = 216+19(48)

A = 216+912

A = 1128 Yard²

Hence the surface area of the triangular prism is 1128 yard²

Answer:

1/3 of the 342 seats which would be 267 of the seats are used by the Students

Step-by-step explanation:

Multiply 4 by 2, that should give you the answer. Hope this helps!

340 you were right

Step-by-step explanation:

Answer:

340

Step-by-step explanation:

first you have to find one side

i will go with 10 and 8

10*8=80

there are two of them

160 save this number in your bank

8*5=40 for the base

there are two of these too

80 save this number in your mental bank

for the last side 10 and 5

10*5=50 there are two of them

100

now add them all up

100+80+160=340

hope this helps!

Answer:

Step-by-step explanation:

erasers=e  

pencils=p

3e+5p=7.55   ...(1)

6e+12p=17.40

divide by 2

3e+6p=8.70  ...(2)

(2)-(1) gives

p=8.70-7.55=1.15

from (1)

3e+5(1.15)=7.55

3e+5.75=7.55

3e=7.55-5.75

3e=1.80

e=1.80/3=0.60

cost of 1 eraser=$0.60

cost of 1 pencil =$1.15

Answer:

x = 93 degrees

Step-by-step explanation:

Answer:

x= 93°

Step-by-step explanation:

the angles are corresponding angles

this means they have the same angle measure.

the bottom one is 93° so that means the other one is 93° as well.

Answer:

click the squares its easy and simple

Answer:

your answer is 18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

6(3)+8-8

=18

.......

Answer:RT=18

Step-by-step explanation: RS+ST=RT

6+12=RT

18=RT

The numeric length of RT is 16 units.

The segment addition postulate states that if we are given two points on a line segment, A and C, a third point B lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC.

Given that, Point S is on line segment RT. Given ST 5x-10 RT = 4x and

RS = 6,

Using segment addition law,

RT = RS + ST

4x = 6+5x-10

x = 4

Therefore, 4x = 16

Hence, The numeric length of RT is 16 units.

For more references on segment addition law, click;

https://brainly.com/question/14957499

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Answer:

x = 36

Step-by-step explanation:

144 + x = 36

*it's same side interior angles*

Answer: 2x2 + 4xy + 4y2 = 0

2 xx + 4xy +  4yy = 0

...xx + 2xy + y*y  + yy = 0

(x + y)^2  + yy = 0

if  x is a constant

... 2yy + 4xy  - 2xy  + xx = 0

(2yy + 4xy + 2xx -2xx) - 2xy + xx = 0

2(y + x)^2 - 2xx - 2xy + xx = 0

2(y + x)^2 - xx - 2xy  = 0

2(y + x)^2 - xx - 2xy  +yy  - yy = 0  

(x + y)^2  + yy = 0

x = i*y  - y

if  x = r cos a

y = r sin a

cos a )^2  + cos a sina  + sin a)^2  +  sin a)^2 = 0

cos a sin a + sin a)^2 = -1  

Step-by-step explanation:

Answer:

Ellipse; -32deg

Step-by-step explanation:

Got it right on Edge

Answer:

h(-8)=9(-8) +27

h(-8)=72-27

h(-8)=45

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

simply look between 8 and 10

Volume formula is [tex]V = B \cdot h[/tex]

First find the area of the base (hexagon). The area of a hexagon can be found with the formula [tex]A = \frac{1}{2} P\cdot a[/tex] where [tex]a[/tex] is the apothem (line that's perpendicular to a side and connected to the center point) and [tex]P[/tex] is the perimeter.

We already know the length of the apothem (5.7 ft). We also have one side length already (6.58 ft), a hexagon has 6 sides, so [tex]P = 6\cdot 6.58 = 39.48[/tex] ft.

Plug these into the area formula

[tex]A = \frac{1}{2} (39.48)(5.7)[/tex]

Area of the base ([tex]B[/tex]) is 112.52 ft

Now plug into the volume formula using 15.4 ft as the height

Final answer:

[tex]V = 1732.81 ft^3[/tex]

Answer:

Y= 1/2x-5

Step-by-step explanation:

Answer: I think 72 sorry if this didnt help

Step-by-step explanat

Answer:

The 9th term in the sequence is 29

Step-by-step explanation:

can i have brainliest please

Answer:

he 9th term in the sequence is 29Step-by-step explanation:

Answer:

240

Step-by-step explanation:

The top triangle has an area of 40 while the bottom rectangle has an area of 200. Add them together and you get 240

Answer:

Im not really sure what the question is asking but the drama club could sell 70 adult tickes and 30 student tickes and they would make $950.

Step-by-step explanation:

Answer:

possible solution (10,80)

Step-by-step explanation:

Variable Definitions:

x=the number of student tickets sold

y= the number of adult tickets sold

“at most 100 people"→100 or fewer tickets

Therefore the total number of tickets sold, x+y, must be less than or equal to 100:

x+y≤100

“no less than $770"→$770 or more

Each student ticket sells for $6, so x student tickets will bring in 6x dollars. Each adult ticket sells for $11, so y adult tickets will bring in 11y dollars. Therefore, the total amount of revenue 6x+11y must be greater than or equal to $770:

6x+11y≥770

Solve each inequality for y:

x+y≤100

y≤−x+100

6x+11y≥770

11y≥770−6x

y≥ -6/11x+70

Graph y≤100−x by shading down and graph y≥-6/11x+70

by shading up