Antonia and Aleena both bought a book that cost £3.50 each. How much change did they get from £10.00?
£6.50
£2.00
£3.00

Answer:

1.54

Step-by-step explanation:

First, we can take into account that mean = sum / number of students. Therefore, we can find the sum of each group of students, as

1.67 = sum / 20

1.50 = sum / 16

1.40 = sum / 14

Multiplying each equation by the number of students in the group to isolate the sum, we get

1.67 * 20 = 33.4

1.50 * 16 = 24

1.40 * 14 = 19.6

We can sum these up to get the total sum of all three groups of students, resulting in

33.4 + 24 + 19.6 = 77

As mean = sum / number of students, we can say that

total mean = total sum / total number of students

total mean = 77 / (20+16+14)

= 77/50

= 1.54

Answer:

Step-by-step explanation:

(b)

(i)

(ii)

(a) Cumulative frequency is 500, median is at 249, 250, the horizontal line from point 250 on y-axis intersecting the graph at approximately 52%, this is the median

(b)  Vertical line from the 45% mark intersects the graph at approximately 177th point. The number of candidates passed the test:

(iii) P(pass) = 323/500 = 0.626 or 62.6%

Answer:

25:4

Step-by-step explanation:

The ratio of the sides is 5:2

The ratio of the areas is the scale factor squares

5^2 : 2^2

25:4

We know

[tex]\boxed{\sf cos\theta=\dfrac{Base}{Hypotenuse}}[/tex]

[tex]\\ \sf\longmapsto cos59=\dfrac{x}{28}[/tex]

[tex]\\ \sf\longmapsto 0.5=\dfrac{x}{28}[/tex]

[tex]\\ \sf\longmapsto x=28\times 0.5[/tex]

[tex]\\ \sf\longmapsto x\approx 14[/tex]

Answer:

[tex]x = 14[/tex]

Step-by-step explanation:

[tex] \cos( \theta) = \frac{a}{h} \\ \cos(59) = \frac{x}{28} \\ 0.5 \times 28 = x \\ 14 = x[/tex]

Answer:

see below

Step-by-step explanation:

11a   -2(x^2 -3)

Distribute

-2*x^2 -2(-3)

-2x^2 +6

11b  2x(x+4)

 Distribute

2x*x +2x*4

2x^2 +8x

12 The perimeter is the sum of all sides

The top is equal to the bottom and the left side is equal to the right

x-10 + x+20+x-10+x+20

Combine like terms

4x +20

Answer:

the area of right angle is 1.5×2.5=3.75

Answer:

1.5 units^2

Step-by-step explanation:

If we say that the missing side is x, we can use the pythatgorean theorem to find it.

1.5^2 + x^2 = 2.5^2  =>  2.25 + x^2 = 6.25  =>  x^2 = 4  =>  x=2

The area of a triangle is hieght * base * 1/2 => 1.5 * 2 * 1/2 = 1.5

Answer:

0, 1.32

Step-by-step explanation:

16cos(t)*sin(t)=4sin(t)

cos(t)=1/4 or sin(t)=0

t=1.32 or 0

Answer:

4.5

Step-by-step explanation:

9/2 = 4.5

Answer: C. 13/3

Step-by-step explanation:

[tex]slope=\frac{rise}{run} =\frac{y}{x} =\frac{13}{3}[/tex]

Answer:

Hello,

answer is 204 in base 10 or 21120 in base 3

Step-by-step explanation:

[tex]((202)_3)^2=(202*202)_3=(112211)_3\\\\((112)_3)^2=(112*112)_3=(21021)_3\\\\(112211-21021)_3=(211120)_3=(204)_{10}\\\\\\\\\\Other\ way\\\\((202)_3)^2=((20)_{10})^2=(400)_{10}\\\\((112)_3)^2=((14)_{10})^2=(196)_{10}\\\\(400-196)_{10}=(204)_{10}=(21120)_3[/tex]

Answer:

45

Step-by-step explanation:

CHECK ANSWER:

45  *5 = 225

45+5 = 50

50 < 225

sum < times

I hope this helped !

Answer:

The two populations living habitats are different. Also they are only similar not the same. Although the physical features may look the same, the actual species may be totally different. :)

Step-by-step explanation:

Answer:

x + 3

Step-by-step explanation:

Image below

We know

[tex]\boxed{\sf M_o=3M_d-2M}[/tex]

[tex]\\ \sf\longmapsto M_o=3(25)-2(28)[/tex]

[tex]\\ \sf\longmapsto M_o=75-56[/tex]

[tex]\\ \sf\longmapsto M_o=19[/tex]

Step-by-step explanation:

cho f(t)=(t-4)u(t-2)phep bien doi laplace la

F(s)=e^-2s/s^2-2e^-2s/s62

Answer:

45g

Step-by-step explanation:

The amount of salt left once the whole water is evaporated can be calculated as follows

= 12% × 375

= 12/100 × 375

= 0.12×375

= 45

Hence 45g of salt is left after the evaporation of water

Answer:

45g

Step-by-step explanation:

Answer:

domain = {-6,-7,-7,-7}

Answer: 1/32

Step-by-step explanation:

here's the answer to your question

Answer: Third proportion is 21/5.

Step-by-step explanation:

Let the proportion be x

so,

3:5:x:7

so

3:5 = x:7

or, 3/5 = x/7

or, 21 = 5x

or, x = 21/5

Answer:

D

Step-by-step explanation:

y=-2x+3

y-3=-2x, x=(3-y)/2. f^(-1) (x) = (3-x)/2. The equation is (3/2)-x/2.

Answer:

c

Step-by-step explanation:

1). 210m^2+156m-96=0

2). 35m^2+26x-16

3). 35m^2+40m-14m-16

4). (35m^2+40m)+(-14m-16)

5). 5m(7m+8)-2(7m+8)

6). (5m-2)(7m+8)

7.) m= 2/5, -8/7

On the 2nd step I divided 6 on both sides.

If both are similar ratio of sides will be same

[tex]\\ \sf\longmapsto \frac{x}{25} = \frac{7}{5} \\ \\ \sf\longmapsto 5x = 7 \times 25 \\ \\ \sf\longmapsto 5x = 175 \\ \\ \sf\longmapsto x = \frac{175}{5} \\ \\ \sf\longmapsto x = 35[/tex]

Answer:

952

Step-by-step explanation:

34 = (30 + 4)

28 = (20 + 8)

34 x 28 = (30 + 4) x (20 + 8)

34 x 28 = 30 x 20 + 30 x 8 + 4 x 20 + 4 x 8

34 x 28 = 600 + 240 + 80 + 32

34 x 28 = 952

952 = 952

Step-by-step explanation:

The triangle is equilateral (OPTION D) because any triangle that has 3 equal side lengths is an equilateral triangle.

Answer:

Step-by-step explanation:

Multiply both the co-ordinates of each vertex by the scale factor and then simplify it.

A(-3 , 2)    A'(-3*8 , 2 * 8) = A' (-24 , 16)

B(2,1)         B'(2*8 , 1*8)  = B'(16,8)

C(-1,-3)       C'(-1*8,-3*8)= C'(-8,-24)

Answer:

see explanation

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then multiply each ot the coordinates by the scale factor 8

A (- 3, 2 ) → A' (8(- 3), 8(2) ) → A' (- 24, 16 )

B (2, 1 ) → B' (8(2), 8(1) ) → B' (16, 8 )

C (- 1, - 3 ) → C; (8(- 1), 8(- 3) ) → C' (- 8, - 24 )

Step-by-step explanation:

a fraction of a number out of 100%

Answer and step-by-step explanation:

Percent (%) means per 100

A percentage is a number or ratio expressed as a fraction of 100

Example 50% of 8 = 8*50/100 = 4

Answer:

y = -3/4x + 3

Step-by-step explanation: