2 families go to the theatre. the p family of 2 adults and 3 children pay £46. the l family of 3 adults and 5 children pay £76. work out thecost of an adult ticket and child ticket.

Answers

Answer 1

Answer:

child: 14

Adult : 2

Step-by-step explanation:

2A + 3C = 46------------eqn 1

3A + 5C = 76------------eqn 2

eqn 1 x 3 : 6A + 9C = 138----------- eqn 3

eqn 2 x 2: 6A + 10C = 152-----------eqn 4

eqn 4 - eqn 3: 1OC - 9C = 152 - 138

1C = 14

subst 1C = 14 into eqn 1

2A + 3(14) = 46

2A = 46 - 42

2A = 4

1A = 2


Related Questions

What is the product (40 + (-10))((36 + (-9))(32 + (-8))...(-32 + 8)(-36 + 9)(-40 + 10) where the first number in each factor is decreasing by 4 and second number in each factor is increasing by 1?

Answers

Answer:

0

Step-by-step explanation:

The first number is 40 and decreases by 4 in each factor, and the second number is -10 and increases by 1 in each factor.

The first number is positive and decreases by 10% its value in each factor, and the second number is negative and increases by 10% its absolute value in each factor. That means we will have a factor where both numbers are 0 (in the 11th value, we will have the first number 40 - 4*10 = 0 and the second number -10 + 1*10 = 0), so the factor will be 0 + 0 = 0, and then whole product will be zero.

a woman buys a pair of shoes at a sale.she pays $60,saving $15 on the regular price.The percentage discount on the shoe is​

Answers

20% because 75 is the total price and 75 over 15 is 5 and 100 divided by 5 is 20

someone pls help me with this :nth term of 3 4.5 6 7.5 I need the answer asap

Answers

Answer:

9.5

Step-by-step explanation:

the numbers go up by 1.5

so, 7.5 + 1.5 = 9

What is 1c, (look at photo) I will make you brainliest!!!!

Answers

Answer:

p=4 and q could be any real number (except 1 because then CD would not be a line since the points would lie on top of each other).

Step-by-step explanation:

For CD to be horizontal, both of the y coordinates for CD need to be equal. Since we are already given one of the y coordinates (the y coordinate for D is 4), then we know that the y coordinate for C (p) is 4 as well). Since it doesn't really matter what q is (any value of q except 1 would create a horizontal line with point C as long as p=4), it is any real number except 1.

Please help! Correct answer only!

For a fundraiser, there is a raffle with 50 tickets. One ticket will win a $180 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?

Answers

Answer:

$ 3.60 ; Type in 3.60

Step-by-step explanation:

Consider the steps below;

[tex]Total Number of Tickets - 50 Tickets,\\Possible Number of Tickets Entered - 1 Ticket,\\\\Proportion - 1 / 50\\Money Won - 180 Dollars,\\\\Proportionality - 1 / 50 = x / 180, Where, x = " Expected Payoff "\\\\1 / 50 = x / 180,\\1 / 50 * 180 = x,\\x = 180 / 50,\\x = 3.60 Dollars,\\\\Conclusion ; x = 3.60 Dollars[/tex]

Solution ; " Expected Payoff " ⇒ $ 3.60


Plzz give an example

how do you round to the nearest cubic

Answers

round you volume measure to a whole number. like if it was 80.4 it would be 80

Answer:

I'm assuming that you mean "Cubic Unit". I will use inches in this example, but this will work with other units as well.

Let's say that the volume of a figure was 124.86 cubic inches.

Rounding to the nearest cubic inch is the same thing as rounding to the nearest whole number.

Locate the 'ones' place:

124.86

Check next door:

124.86

If the next door number is greater than or equal to 5, then we round up. If it's less than 5, we round down.

8 is greater then 5. Therefore, we would round up.

So, 124.86 cubic inches to the nearest cubic inch is 125 in³.

124.86in³ ≈ 125in³

36x^2-16 factored. please and thanks

Answers

Answer:

(6x+4)(6x-4)

Step-by-step explanation:

a^2 - b^2 = (a+b)(a-b).

sqrt of 36x^2 is 6x; sqrt of 16 is 4.

a = 6x, b = 4.

Answer:

[tex] (6x - 4)(6x + 4) \\ [/tex]

Step-by-step explanation:

[tex]36 {x}^{2} - 16 \\ {6}^{2} {x}^{2} - {4}^{2} \\ (6x - 4)(6x + 4)[/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

Can someone please help me with this question please:(

Answers

Answer:

Since the figures are congruent, their areas must also be congruent so the answer is 28.

Hhh I’m very bad at math

Answers

Answer:

See below;

Step-by-step explanation:

21 . Consider an exponential function;

[tex]Exponential Function in Form - y = a * b^x, where, a - start value, b - growth factor, x - time,\\\\Now y = f ( x ), in Other Words,\\p ( t ) = 300 * ( 0.5 )^t - Given,\\\\Through Substitution - f ( x ) = p ( t ), a = 300, b = 0.5, x = t,\\\\Conclusion ; 300 - ( start value ) - Starting Amount of Milligrams of Compound,\\0.5 - Milligrams Compound Decreases by[/tex]

Solution; Provided Directly Above

A sauce recipe calls for 3/4 cup of chicken broth. To make enough sauce for a party, Marcy needs to triple the recipe.
2 (3) = (*) (6)
cups of chicken broth,
She estimates that the tripled recipe will need
The exact amount of chicken broth needed is
cups.

Answers

Answer:

less than 3

9/4

Step-by-step explanation:

Answer:

less than 3

9/4

Step-by-step explanation:

boom!!!

Is a percent a ratio?
Describe using 1 complete sentence.

Answers

Answer:

Percent means hundredths or per hundred and is written with the symbol, %. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100. In a box of eight donuts two have pink sprinkles. ... Fractions, percent and decimals can all represent the same number, but they are expressed differently.

Step-by-step explanation:

i hope this is what u are looking for

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

THANKS FOR GIVING BRAINLIEST.

So we need to first find out f(7)

That would be if you look at the line its -1 on the y.

g(-1) on the line is 1 on x

10*-1+9*1

= -10+9

answer is -1

Answer:

10* f(7) +9* g(-1) = -1

Step-by-step explanation:

f(7) = -1, g(-1) = 1

10* f(7) +9* g(-1) = 10*(-1) +9*1 = -10 + 9 = -1

Which of the following is a representation of a function?
A.8x^2+4x
B. 4x+3=y^2
C. 3y= 5x^2+y
D. x = y2

Answers

Answer:

A

Step-by-step explanation:

Stephen and Bridget are marking exam papers. Each set takes Stephen 71 minutes and Bridget 2 hours. Express the times Stephen and Bridget take as a ratio in its simplest form.

Answers

Answer: 1:1.69014084507

Step-by-step explanation:

On a shelf there are 6 novels, 8 poetry books, and 4 mystery books. What is the probability that person A chooses a novel,then a mystery and walks away, then person B picks a mystery and a poetry book?

Answers

Answer:

2/255

Step-by-step explanation:

In total, there are 18 books on the shelf.

The probability that person A will pick a novel is 6/18 = 1/3

There are now 5 novels and 17 total books on the shelf

The probability that person A then picks a mystery is 4/17.

There are now 3 mysteries and 16 total books on the shelf.

The probability that person B then picks a mystery is 3/16.

There are now 2 mysteries and 15 total books on the shelf.

The probability that person B then picks a poetry book is 8/15.

The probability that all these events occur back to back is the product of their individual probabilities. Therefore, the probability is:

1/3 * 4/17 * 3/16 * 8/15 = 2/255

The proof that TriangleMNG ≅ TriangleKJG is shown.


Given: AngleN and AngleJ are right angles; NG ≅ JG

Prove: TriangleMNG ≅ TriangleKJG

What is the missing reason in the proof?


a) the reflexive property

b) ASA

c) AAS

d) the third angle theorem

Answers

Answer:

b) ASA

Step-by-step explanation:

If you were to look at both triangles the marked angles are rothe other same for the side and also the angle of G which connects both triangles together.

The missing reason in the question is option B which is ASA that is ANGLE SIDE ANGLE.

What are congruent triangles?

Triangles are congruent when they have  three corresponding sides and exactly the corresponding  three angles are equal to other.

What are similar triangles?

If two triangles can be superimposed on each other then it is said to be similar triangles.

How to check similarity between triangles?

Two triangles are said to be similar if two angle and a side, one angle and two sides are equal to other.

If we look at the figure we found that both triangles the marked angles are same for the side and also the angle of G which connects both triangles together.

Hence the correct option for the problem is ASA (Angle Side Angle)

Learn more about congruent triangles at https://brainly.com/question/2938476

#SPJ2

Tanya has ten bills in her wallet. If she has one more $5 bill than $10 bills, and two more $1 bills than $5 bills, how many of each does she have?

Please tell me the steps will choose brainliest

Answers

Answer:

5 Ones dollar bills

3 five dollar bills

2 ten dollar bills

Step-by-step explanation:


Select the correct answer.
What is the simplest form of the ratio 11 : 16?
A.
1:6
B
5:8
c.
11.16
D.
22:32​

Answers

Answer:

C

Step-by-step explanation:

The ratio 11:16 cannot be simplified

Answer:

Its already in simplest form

Step-by-step explanation:

You can think of it as a fraction. you cant divide 11 by anything besides 1 and itself. 11 doesnt go into 16 at all, completely. So the ratio cant be simplified

A number cube labeled 1 through 6 is rolled. Find the probability that the cube lands on a number less than 5

Answers

Answer:

2/3

Step-by-step explanation:

The number cube has 6 faces labelled 1 - 6.

There are 4 numbers less than 5 (1, 2, 3, 4).

Therefore, the probability that the cube lands on a number less than 5 is:

4/6 = 2/3

Antonio and Candice had a race. Their distances past a particular landmark as the race progressed can be represented by linear
functions and are shown in the table of values and graph below. Which statement is true regarding Antonio and Candice's race?

Answers

Answer:Antonio had a head start of 3 meters

Step-by-step explanation:I took the test

Answer: Option B

(B) Antonio had a head start of 3 meters.

Step-by-step explanation:


What is a reasonable product of 3 9/10× 4 1/5?

Answers

Answer: 16.38

Step-by-step explanation: I had this same math problem a while ago and got it right.

Answer:

hello 55

Step-by-step explanation:

12. Which of the following numbers is
contained in the solution set of the
inequality 1-5x + 35| > 20?
A
-1
B
3
С
9
D
10

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Find the areas of the sectors formed by ∠DFE. Round your answers to the nearest hundredth.

Answers

Answer:

Area of the sector in red = 177.87 cm²

Area of the sector in blue = 437. cm²

Step-by-step explanation:

Area of the sector = [tex]\frac{\theta}{360}(\pi )(r)^2[/tex]

Area of the sector shaded in blue = [tex]\frac{256}{360}(\pi )(14)^2[/tex]

                                                        = 437.87 cm²

Central angle formed by sector shaded in red = 360 - 256 = 104°

Area of the sector shaded in red = [tex]\frac{104}{360}(\pi )(14)^2[/tex]

                                                      = 177.884

                                                      ≈ 177.88 cm²

Therefore, area of the sector shaded in red = 177.87 cm² and area of the sector in blue = 437.88 cm²

A cylindrical container of five rubber balls has a height of 30 centimeters and a diameter of 6 centimeters. Each ball in the container has a radius of 3 centimeters. Find the amount of space in the container that is not occupied by rubber balls. Round your answer to the nearest whole number.

Answers

Answer:

There is 170 cm³ free space in the container.

Step-by-step explanation:

Cylindrical container: height = 18 cm ; diameter = 6 cm.

3 balls each have a radius of 3 cm.

Volume of a cylinder = π r² h

V = 3.14 * (3cm)² * 18 cm

V = 508.68 cm³

Volume of rubber ball = 4/3  π r³

V = 4/3 * 3.14 * (3cm)³

V = 113.04 cm³

113.04 cm³  * 3 balls = 339.12 cm³

508.68 cm³ - 339.12 cm³ = 169.56 cm³ or 170 cm³

Evaluate [(40 + 5) − 3^2] ÷ 9 ⋅ 2. (1 point)

Answers

Answer:

[(40 + 5) − 32] ÷ 9 ⋅ 2

[(45) − 32] ÷ 9 ⋅ 2

[(13)] ÷ 9 ⋅ 2

[(13)] ÷ 9 ⋅ 2

  _

1.4... ⋅ 2

_

2.8... ←Answer

Step-by-step explanation:

Try to form a triangle by dragging points a and d, is it possible to form a triangle with side lengths 1, 5, and 3 units

Answers

Answer:

It is not possible.

Step-by-step explanation:

The triangle inequality theorem states that any 2 sides of a triangle must be greater than or equal to the other side. If you add 3 and 1, you get 4, and that is less than 5, so the triangle cannot exist.

Answer:

1. No

2. Yes

3. No

4. Yes

5. Yes

Step-by-step explanation:

These are the answers for edge 2021

Select the term that does not describe the triangle. Select all that apply.
A) acute
B) obtuse
C) scalene

Answers

The triangle is not obtuse. The triangle IS both acute and scalene.

Answer:

B) obutse

Step-by-step explanation

none of the angles are above 90 degrees so it cant be obtuse. All of the sides are unequal so it is scalene. Lastly, all of its angles are smaller than 90 degrees making it scalene and acute, not obtuse

What is the solution to the linear system y=-5x-21 and y=7x+15

Answers

Answer:

(-3,-6)

Step-by-step explanation:

Compair, then solve for x=-3

then solve you should get y=-6

Answer:

(-3, -6).

Step-by-step explanation:

Since both expressions in x are equal to y:

-5x - 21 = 7x + 15

-12x = 36

x = -3.

Plug x = -3 into the first equation:

y = -5*-3 -21  

= 15 - 21

y = -6.

y =

4 Student is 20% of ____ students

I need the answer please help me I don't want to fail my math class

Answers

Answer:

4 Student is 20% of 20 students

Step-by-step explanation:

if 4 = 20% then 1 = 5% to get a hundred percent then you need to multiply by 20

so 20

4 Student is 20% of 20 students

Answer:

4 Student is 20% of _20___ students

Step-by-step explanation:

20% of x = 4

20% = 0.20

of means multiplication so

0.2 * x = 4

x = 4 / 0.2 = 40 /2 =20

can someone answer number 10 and show the work? I really need it please

Answers

Answer:

D

Step-by-step explanation:

f(x)=(3/5)x-10

f(5)=(3/5)(5)-10=

3-10=

-7

Hope this helps!

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