At a cricket club dinner 62 members sat down to eat. The costs
for the club were: first course $44640, main course $59520, dessert
42 800, drinks $31600.
Work out the cost of the dinner per head.
Members were charged $2995 a head. Did the club make a profit
Justify your answer.
​

Answer:

Step-by-step explanation:

y = mx +b

m- Slope ; b - y-intercept

1) y = 2x + 5

Slope = 2

y-intercept = 5

2) 2y = 4x - 5

 Divide the equation by 2

[tex]\frac{2y}{2}=\frac{4x}{2}-\frac{5}{2}\\\\y = 2x - \frac{5}{2}[/tex]

Slope = 2

y-intercept = [tex]\frac{-5}{2}[/tex]

3) 3x + 6y = 8

           6y = -3x + 8

            [tex]\frac{6y}{6}=\frac{-3x}{6}+\frac{8}{6}\\\\ y = \frac{-1}{2}x+\frac{4}{3}\\\[/tex]

Slope = -1/2

y-intercept = 4/3

Answer:

a = 15, b = -14

Step-by-step explanation:

From the question,

a/5 - b/2 = 10

Multiply all through by 10

(a/5)10 - (b/2)10 = 10×10

2a - 5b = 100...................... Equation 1

a - b = 29 ........................ Equation 2

Solving equation(1 ) and equation (2) simultaneously

using elimination  method,

multiply equation (2) by 2.

2a - 2b = 58.................... Equation 3

Substract equation 3 from equation 1

2a - 2a -5b-(-2b) = 100-58

0 - 5b+2b = 42

-3b = 42

b = 42/-3

b = -14.

Substitute the value of b into equation 2

a - (-14) = 29

a +14 = 29

collect like terms

a = 29-14

a = 15.

Hence, a = 15, b =-14

Answer:

m=25

Step-by-step explanation:

A. m=25

B.15

Answer:

-8

Step-by-step explanation:

 [tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Here is your GUIDE}\downarrow[/tex]

[tex]\bullet\large\textsf{ Negative(-) \& negative(-) = \bf positive(+)}\\\bullet\large\textsf{Negative(-) \& positive (+) = \bf negative(-)}\\\bullet\large\textsf{Positive(+) \& positive(+) = \bf positive(+)}\\\bullet\large\textsf{Positive(+) \& negative(-) = \bf negative(-)}[/tex]

[tex]\textsf{So, this means that your RESULT will end up being a NEGATIVE!}[/tex]

[tex]\large\text{-23 - (-15)}\\\\\large\text{- \& - = +}\\\\\large\text{-23 + 15 =\bf ANSWER}\\\\\large\text{You START from -23 and go UP 15 spaces which lands you to \bf -8}\\\\\large\text{-23 + 15 = \bf -8}\\\\\boxed{\boxed{\large\text{Answer: \huge \bf -8}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

40 square units

Step-by-step explanation:

Area of triangle = 1/2×b×h

= 1/2×10×8

= 40 square units

Answer:

Acute triangle

Step-by-step explanation:

All of the triangles vertices are under 90 degrees.

For future reference:

Vertex (plural: vertices)= corner

Acute triangle: each vertex <90 degrees

Right triangle: One vertex = 90 degrees

Obtuse triangle: All vertices >90 degrees

Answer: 12.6 years

Step-by-step explanation:

Answer:

22 djdjgkrork

Step-by-step explanation:

fpor94ofkc

Answer:

12/7

Step-by-step explanation:

-9 2/7 - (-10 3/7)

-18/7 - (-30/7)

-18/7+30/7

12/7

Answer:

square with sides of 6 in

Step-by-step explanation:

Tessellation is the arrangement of shapes in repeated patterns without gaps or overlapping.

Tessellation is usually done with regular polygons. Only three regular shapes can tessellate, these are equilateral triangle, regular square and regular hexagon. For other polygon to tessellate, more than one shape must be used. A octagon can be used to make tessellations if it is used together with a square.

Mark uses tiles with shape of octagon of sides 6 in. To fill the gaps, Mark have to uses a square with sides of 6 in

We can see that the difference is 8 so we can write:

[tex]a_n=a_{n-1}+8[/tex]

Answer:

d. 540 deg

Step-by-step explanation:

2 pi radians = 360 deg

(360 deg)/(2pi rad) = 1

3 pi * (360 deg)/(2 pi rad) = 3 * 180 deg = 540 deg

Answer:

x = 125

Step-by-step explanation:

x<125

Step-by-step explanation:

Multiply to remove the fraction, then set equal to 00 and solve.

Answer:

2x + 2x =  4x

Step-by-step explanation:

Answer:

1,2, and 4 are the correct answers

Step-by-step explanation:

Answer:

1. The sides that were parallel in the pre-image are parallel in the image.

2. The angle measures of ABCD are equal to the corresponding angle measures of A’B’C’D’.

4. The segments connecting the center of rotation to the corresponding vertices create a 270° angle.

Step-by-step explanation:

Edge 2021

Answer:

$12,741.4

Step-by-step explanation:

If there are no additional deposits, the final balance is $12,741.4, and the the total compound interest is $741.4.

Answer:

When there is no width, the area is 0m²

Step-by-step explanation:

Expressing the area of a rectangle as a function of its width:

Area of a rectangle = Length * width

Since the area of rectangle is related to the width by the multiplication operatkr. We can conclude from the options given that ; if the value of width = 0 ; the the area of rectangular plot = 0

When x :

Area = Length * width

Area = Length * 0

Area = 0

Area = Length * 0

Aea = 0

Answer:

127.5

Step-by-step explanation:

First, we need to find the value of x

since the two angles are connected to a straight line, their sum will be 180 (degrees)

[tex](2x+7)+(6x-9)=180^{o}[/tex]

add the angles together

[tex]\therefore 8x-2=180[/tex]

add 2 to both sides

[tex]\therefore 8x=182[/tex]

divide out by 8

[tex]\therefore x = 22.75[/tex]

now we must determine which angle has the greater value (not visually)

[tex]angle A = 2x+7[/tex]

[tex]\therefore \angle{A} = 2(22.75)+7[/tex]

[tex]\therefore \angle{A} = 45.5+7[/tex]

[tex]\therefore \angle{A} = 52.5[/tex]

[tex]angle B = 6x-9[/tex]

[tex]\therefore \angle{B} = 6(22.75)-9[/tex]

[tex]\therefore \angle{B} = 136.5-9[/tex]

[tex]\therefore \angle{B} = 127.5[/tex]

[tex]\angle{B}>\angle{A}\ \because\ 127.5>52.5[/tex]

so the answer would be 127.5

Answer:

The answer is x<-9

Step-by-step explanation:

x+5<-4

You move it to the right and you change the sign

This is what I mean: x<-4-5

Then you Calculate the Difference

So it will be: x<-9 which is your answer

Answer:

75

Step-by-step explanation:

after adding all the measures the sum give around 75, don't forget to add 11 ¾ in the left side

Answer:

50.27

Step-by-step explanation:

The shape is a circle

Radius is 4

Diameter is 8  (diameter is always double of the radius)

π * r^2 = π * 16 ft^2 = 50.27 ft^2

(16 = 8 * 2)

Answer: y= -6x + 0

Step-by-step explanation:

Each number is subtracted by 6 to get to the next.. so m from y=Mx+b would be -6.

Since b= initial value (value at 0)...the value at 0 is 0 so the equation formula would be y= -6x+ 0

Answer:

Hello, The answer is LxW Dived by 2 sorry for being second

Step-by-step explanation:

I'm in sixth grade so i should know this.

Answer:

A

Step-by-step explanation:

I think its A if its the muli question I just answered

sorry if I'm wrong!

have a nice day!

Answer:

17/21

Step-by-step explanation:

[tex]21x - 3 = 14 \\ 21x = 14 + 3 \\ 21x = 17 \\ x = \frac{17}{21} [/tex]

Answer:

x=log,21(14)+3 or x=*3.86682

Step-by-step explanation:

Answer:

6x

Step-by-step explanation:

3*2x=6x

Answer:

B : 18M²

Step-by-step explanation:

2 Triangles ½base times height then 5 times 3

Answer:

18

Step-by-step explanation:

A = 1/2 (a+b) × h

A= 1/2 (7+5) × 3

A = 18

sorry if I got it wrong

Answer: i think the domains are

1

,

3

,

5

,

10