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:

The car is worth $4250 now and it decreased by $750

Step-by-step explanation:

5000* .85 is 4250

Hey there,

Put the equation into the circle equation [ (x - h)² + (y - k)² = r² ].

x² + y² + 4x + 8y = -11

(x² + 4x) + (y² + 8y) = -11

(x + 2)² + (y + 4)² = 9

If that is confusing, you can always rewrite it to show exactly what you need in the circle equation.

(x - (-2))² + (y - (-4))² = 3²

Therefore, using the circle equation we can see that the center is at the point (-2, -4) and the radius is 3.

Best of Luck!

Answer:

[tex] \displaystyle \text{centre} :( - 2, - 4)[/tex]

[tex] \text{redius} : 3[/tex]

Step-by-step explanation:

we are given a circle equation

[tex] \rm \displaystyle {x}^{2} + {y}^{2} + 4x + 8y + 11 = 0[/tex]

we want to figure out the centre and the redious of the circle from the equation notice that the given circle equation is in general form given by

[tex] \rm \displaystyle {x}^{2} + {y}^{2} +A x +B y +C = 0[/tex]

general form of circle equation is a simplified version of standard form. the standard form of circle equation is given by:

[tex] \displaystyle (x - h {)}^{2} + (x - k {)}^{2} = {r}^{2} [/tex]

where:

notice that the there're two completed squares in the standard form therefore we can consider completing square to figure out the centre and the redious

indentifying centre and redious:

rearrange:

[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) + 11 = 0[/tex]

cancel 11 from both sides:

[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) = - 11[/tex]

add 4 to the both sides so that the equality don't affect:

[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = -11 + 4[/tex]

simplify addition:

[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = - 7[/tex]

once again to complete the square add 16 to both sides which yields:

[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y + 16) = 9[/tex]

complete the squares by using (a+b)²=a²+2ab+b² pattern:

[tex] \rm \displaystyle ( {x}+ 2) ^{2} +( {y} + 4) ^{2} = 9[/tex]

we can still rewrite it to figure out the redious and the centre:

[tex] \rm \displaystyle ( {x} - ( - 2)) ^{2} +( {y} -( - 4) ) ^{2} = {3}^{2} [/tex]

therefore we obtain:

and we are done!

Answer:

Step-by-step explanation:

The first is 2, the second is 6 and the third is 14.

Answer: Pythagorean theorem

Step-by-step explanation: cannot see the rectangle but I assume it’s the Pythagorean theorem

The sum of the area of all the rectangles will be 2a + 3a + 4a.

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.

Given:

The large rectangle has length a and width (2 + 3+ 4)

Area of the rectangle = L×W square units

A = a  (2 + 3+ 4)

A = 2a + 3a + 4a

Therefore, the area of the large rectangle is 2a+3a+4a

To learn more about the rectangular;

brainly.com/question/21416050

#SPJ2

x² + 8² = 10²

x² + 64 = 100

x² = 100 - 64

x² = 36

x = 6

Answer:

=2m/y+m/y

= 2m+m/y

=3m/y

Answer:

43

Step-by-step explanation:

g(x)=4x+3

plug in 10

g(10)= 4(10)+3

      = 40+3

      = 43

Answer:

Sorry I just needed points

Step-by-step explanation:

10^3=1,000

Anything multiplied by 1 is that number. In this case, multiply 7.6 by 1, then add 3 zeroes.

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hope it helps

Answer:

7,600

Step-by-step explanation:

when you have to multiply by 10 to a power, you just move the decimal to the left as many times as by the power

Answer:

Step-by-step explanation:

Negative sign is outside the parenthesis. So, each term of (4k² - 13k -12) should be multiplied by (-1)

-(4k² - 13k -12) + 5k² - 8k = 4k²*(-1) - 13k*(-1) - 12*(-1) + 5k² - 8k

                                        = -4k² + 13k + 12 +5k² - 8k

Combine like terms,

                                        = -4k² + 5k² + 13k - 8k + 12

                                       = k² + 5k + 12

Like terms are the terms with same variable with same exponent.

(-4k² ) and 5k² are like terms

13k and (-8k) are like terms

Answer:

401(k) plan

Step-by-step explanation:

The employee earns $45/hour, with his employer paying 1.5 times the regular rate of pay for overtime hours. To date, he has earned $130,050 during the present year. He has requested that his employer withhold 8% of gross pay, which is to be contributed to a 401(k) plan. Taxable income for federal income tax withholding = $

Answer:

Slope is 1/5

Step-by-step explanation:

m = (y2 - y1)/ (x2 - x1)

m = (3-4)/(-2-3)

m = (-1)/(-5)

m = 1/5

Answer: 90

Step-by-step explanation:

Answer:

90m

Step-by-step explanation:

you have to cross multiply.

1) multiply (12 * 15) and multiply 2 * X)

2) you get 180 = 2x

3) to get X alone divide 180 by 2 and you will get 90meters

Answer:

60;40

Step-by-step explanation: 50* 2 = 100

so multiply every thing else by it to  

in simplest form tho itd be 3;2

Answer:

Step-by-step explanation:

We need to multiply 0.98 by 2 which is 1.96 now we need to divide 0.98 by two which is 0.49, so add those together and you have 2.45. Hope this helps :)

Answer:

9x+6

Step-by-step explanation:

Answer:

arc RS = 116°

Step-by-step explanation:

Since the 2 chords are congruent then their minor arcs are congruent, that is

SR = TU, substitute values

6x - 28 = 4x + 20 ( subtract 4x from both sides )

2x - 28 = 20 ( add 28 to both sides )

2x = 48 ( divide both sides by 2 )

x = 24

Then

arc RS = 6x - 28 = 6(24) - 28 = 144 - 28 = 116°

Answer:

(-6, 0)

Step-by-step explanation:

y = 4x + 24

Plug y = 0

0 = 4x + 24

4x = - 24

x = - 24/4

x = - 6

So, the graph of y = 4x + 24 intersect the x-axis at (-6, 0)

Answer:

at point x= -6

Step-by-step explanation:

4x+24=0

4x=-24

x=-24/4

x=-6

Answer:

EZ Excavation: y = 24.5x

Happy Hauling Service: y = 25x

Step-by-step explanation:

✔️Equation for EZ Excavation:

This can be written in slope-intercept form, y = kx

Where k is the unit rate/slope/constant of proportionality

y = cost

x = dirt

Thus,

k = y/x

Using any given pair of values from the table, say, (8, 196),

k = 196/8

k = 24.5

To write the equation, substitute k = 24.5 into y = kx

Thus:

y = 24.5x

✔️Equation for Happy Hauling Service:

This can be written in slope-intercept form, y = kx

Where k is the unit rate/slope/constant of proportionality

y = cost

x = dirt

Thus,

k = y/x

Using the coordinate of any point on the line, say (1, 25),

k = 25/1

k = 25

To write the equation, substitute k = 25 into y = kx

Thus:

y = 25x

Answer:

[tex]8*12[/tex]

Step-by-step explanation:

First, the problem asks for an expression; this means that there should be no equal sign. Also, the keyword "product" means that both the terms must be multiplied. So, [tex]8*12[/tex] is the final expression; this equals 96.

Answer:

B is the correct answer I believe..

Step-by-step explanation:

Answer: I strongly believe it is B

Step-by-step explanation:

Answer:

31/3÷43/4

=31×4/43×3

=124/129

Answer:

40/57

Step-by-step explanation:

keep change flip.

change the mixed fractions to improper by multiplying the integer by the denominator and then add the numerator.

should give you an answer of 10/3 and 19/4

which when put into the fraction-division rule equals 40/57

Answer:

C, you can use rotations to describe a change in the position of a figure.

Answer:

4

Squiggles

Step-by-step explanation:

steps

1 feet = 12 inches

2 feet = 2 x 12 = 24 inches

length of squiggles = 24 + 10 = 34 inches

squiggles is longer because 34 is greater than 30

difference = 34 - 30 = 4

Answer:

volume is equal to ratio

Answer:

This is your answer. If I'm right so,

Please mark me as brainliest. thanks!!!