A cinema sold 1000 tickets on a Saturday evening. Adult tickets cost £9, children's
tickets cost £5, and a total of £6680 was collected
If there are a Adult tickets and c Children tickets, write down two simultaneous
equations connecting a and c.
Solve your equations to find how many tickets of each kind were sold.

Answer:

48

Step-by-step explanation:

Take the second derivative, utilizing quotient and chain rule.

[tex] {g}^{'} = - \frac{8}{(2x - 1)^{3} } \\ {g''} = \frac{48}{(2x - 1)^{4} } \\ {g''(1)} = \frac{48}{(2(1) - 1)^{4} } = \frac{48}{1} = 48[/tex]

Step-by-step explanation:

x + y = 985

2.95x + 9.95y = 7343.75

-2.95x - 2.95y = -2905.75

7y = 4438

y= 634 steak sandwiches

x + 634 = 985

x = 351 hot dogs

Answer:

634 steak sandwiches

Step-by-step explanation:

h = hot dogs

s = steak sandwiches

First, lets make 2 equations.

2.95h + 9.95s = 7343.75

h + s = 985

We can make the second equation h = 985 - s

Now substitute h into the first equation.

2.95(985 - s) + 9.95s = 7343.75

Distribute the 2.95

2905.75 - 2.95s + 9.95s = 7343.75

Simplify s

2905.75 + 7s = 7343.75

Subtract 2905.75 from both sides

7s = 4438

s = 634

If h = 985 - s and s = 634 we can find h by subtracting 634 from 985

985 - 634 = 351

Now to check:

351 times 2.95 = 1035.45

634 times 9.95 = 6308.3

6308.3 + 1035.45 = 7343.75 so that means our answer is correct.

Hope this helps!!

Answer:

25&36

Step-by-step explanation:

25 is a square no and so is 36 and there product is 900. They are also consecutive.

Just assemble the square nos from the least i.e 4 and try solving as asked to see if it gives 900.

Thus u'll land on 25&36

Answer:

a) -1, 0

b) -5, -4

c) 2, 3

d) -8, -7

Step-by-step explanation:

Answer:

slope 1 over 2

y incept is where the graph starts it is usually represented by a dor

equation y equals mx plus b

Step-by-step explanation:

tip mx is your slope

Answer:

62.8319 ≈ 62.8 inches

Step-by-step explanation:

[tex]c = 2\pi *r\\r = 10 in\\\\c =(2\pi )*(10)\\= 62.8318530718\\62.8[/tex]

Step-by-step explanation:

[tex] ( - 4) + ( - 8) - ( - 3) + ( + 6) - ( + 10) \\ = ( - 4) - 8 + 3 + 6 - 10 \\ = - 12 + 3 + 6 - 10 \\ = - 9 + 6 - 10 \\ = - 3 - 10 \\ = - 13[/tex]

Answer:

Step-by-step explanation:

Split the trapezoid as pictured below

Find its height and the upper base, then find the area of the trapezoid.

There are 3 pieces, two of them are 45°×45° and 30°×60°×90° triangles

The above mentioned properties give us:

Now find the area:

Correct choice is B

Answer: This is a binomial.

Step-by-step explanation:

It is so because it consists of 2 terms each side, respectively, 7x, y and 2x, y.

Answer:

This is a binomial.

Step-by-step explanation:

Step-by-step explanation:

Area of Rectangle Prism = Area of base x height

= Length x Width x Height

[tex] = 1 \times \frac{1}{4} \times \frac{1}{2} \\ = 0.125 {in}^{3} [/tex]

One Apple Pie =

[tex]0.125 {in}^{3} [/tex]

Volume of 528 Apple Pies = Volume of 1 apple pie x 528

=

[tex]0.125 \times 528 \\ = 66 {in}^{3} [/tex]

Step-by-step explanation:

A. isosceles

B.

[tex] \frac{180 - 128}{2} = \\ = \frac{152}{2} = \\ = 76[/tex]

Answer:

$6250

Step-by-step explanation:

if im correct plz can i get a brainliest

Answer:

Step-by-step explanation:

-3x+4y=4

-5x-3y=26

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

-8x+y=30

y=8x+30

Plug 8x+30 back into -5x-3y=26

-5x-3(8x+30)=26

-5x-24x+90=20

-29x=-70

x=2.413

Plug 2.413 into y=8x+30

y=8(2.413)+30

y=19.304+30

y=49.304

Hope I helped :)

Brainliest? :o

Answer:

Jon's hiding spot is closer to the starting point.

Step-by-step explanation:

Jon's final position forms a triangle with sides 100 ft and 120 ft respectively with an angle of 180 - 45 = 135 between them. Since the angle between the 100 ft direct east and 120 ft direction is 45, since Jon turns 45 after moving for 100 ft and then moves another 120 ft to his final destination.

Also, Lisa's final position forms a triangle with sides 120 ft and 100 ft respectively with an angle of 180 - 32 = 148 between them. Since the angle between the 120 ft direction west and 100 ft direction south of west is 45, since Lisa turns 32 after moving for 120 ft and then moves another 100 ft to her final destination.

Using the cosine rule,

a² = b² + c² - 2abcosФ,  we find the length of the third side of each triangle which is their distance from the starting point.

So, for Jon

a² = b² + c² - 2abcosФ where b = 100 ft, c = 120 ft and Ф = 135°

Thus,

a² = (100 ft)² + (120 ft)² - 2(100 ft)(120 ft)cos135°

a² = 10000 ft² + 14400 ft² - 24000 ft²cos135°

a² = 10000 ft² + 14400 ft² - 24000 ft²(-0.7071)

a² = 24400 ft² + 16970.56 ft²

a² = 41370.56 ft²

a = √(41370.56 ft²)

a = 203.4 ft

for Lisa

a'² = b'² + c'² - 2a'b'cosФ' where b = 120 ft, c = 100 ft and Ф = 148°

Thus,

a'² = (120 ft)² + (100 ft)² - 2(120 ft)(100 ft)cos148°

a'² = 14400 ft² + 10000 ft² - 24000 ft²cos148°

a'² = 14400 ft² + 10000 ft² - 24000 ft²(-0.8481)

a'² = 24400 ft² + 20353.15 ft²

a'² = 44753.15 ft²

a' = √(44753.15 ft²)

a' = 211.56 ft

a' ≅ 211.6 ft

Since a = 203.4 ft < a' = 211.6 ft,

Jon's hiding spot is closer to the starting point.

Answer:

Step-by-step explanation:

He should use 4 times $2

4*$2=$8

Answer:

The answer is 1 953 125

Step-by-step explanation:

(1/5)^(-3)/(1/5)^6

First, we evaluate the resultant power: (1/5)^(-3)/(1/5)^6=(1/5)^(-3-6)=(1/5)^(-9)

Then, we evaluate the value of the expression: (1/5)^(-9)=5^9=1 953 125

Thus, the answer is 1 953 125

Answer: Hey Jasmine :)

The answer is down below in the image

Step-by-step explanation:

Answer:

adjacent

Step-by-step explanation:

each angle shares a common ray

HEY MATE YOUR ANSWER IS HERE

★ GIVEN EQUATION ★

X + Y = 4

★ SOLUTION ★

LET VALUE OF X = 0 , 1 , 2 , 3 AND 4

WHEN X = 0

0 + Y = 4

Y = 4

WHEN X = 1

1 + Y = 4

Y = 3

WHEN X = 2

2 + Y = 4

Y = 2

WHEN X = 3

3 + Y = 4

Y = 1

WHEN X = 4

4 + Y = 4

Y = 0

NOW OUR 5 COORDINATES OF LINE X + Y = 4 ARE

A ( 0 , 4)

B ( 1 , 3 )

C ( 2 , 2)

D ( 3 , 1 )

E ( 4 , 0 )

THANKS FOR YOUR QUESTION HOPE THIS HELPS

can i have a brill

thank u

good luck

Answer:

Factor: 5x^2+13x−6

5x^2+13x−6

=(5x−2)(x+3)

Answer:

It is systematic sampling.

Answer:

C. (3,015÷s)-186

Step-by-step explanation:

Sana makatulong

Answer:

Pythagorean identity: [tex]sin^2\alpha +cos^2\alpha =1[/tex]

Or SOH CAH TOA

(Sine, opposite over hypotenuse)

(Cosine, Adjacent over hypotenuse)

(Tangent, opposite over adjacent)

A straight line is represented by a linear function.

The equation of the line is [tex]y = -\frac 14 x[/tex]

From the coordinate plane, the line passes through the following points

[tex](x,y) =(0,0)\ (4,-1)[/tex]

The slope of the above points is calculated using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, the above equation becomes

[tex]m = \frac{-1 - 0}{4-0}[/tex]

This gives

[tex]m = \frac{-1}{4}[/tex]

Rewrite as:

[tex]m = -\frac{1}{4}[/tex]

The line equation is then calculated as:

[tex]y = m(x-x_1) + y_1[/tex]

So, we have:

[tex]y = -\frac 14 (x-0) + 0[/tex]

This gives

[tex]y = -\frac 14 (x)[/tex]

Remove bracket

[tex]y = -\frac 14 x[/tex]

Hence, the equation of the line is [tex]y = -\frac 14 x[/tex]

Read more about line equations at:

https://brainly.com/question/4074386

Answer:

201

Step-by-step explanation:

3.14*8*8=201

Answer:

Owl Response

Prey Stimulus

Step-by-step explanation:

The owl responds to the environement with the prey

Answer:

X=6

B=126

Step-by-step explanation:

8x+78°=2x+114°

8x-2x=114-78

6x=36

x=6

B=2(6)+114

B=12+114

B=126°

Note angle A and B are alternate angles and thus are equal

Answer:

since X=6 ,

2×6+114= 126 .