At the movie theatre, child admission is S5.20 and adult admission is $8.30. On Tuesday, 156 tickets were sold for a total sales of S1087.10. How many adult
tickets were sold that day?

Answers

Answer 1

Answer:

So, 89 Adult tickets were sold.

Step-by-step explanation:

So, we first name our variables, say, a for number of adult tickets, and c for child tickets.

Then we write our system of equations, first the total $ sale:

5.2c + 8.3a = 1087.10

Then we write the 2nd equation, the total number of tickets:

c + a = 156

Now, we can solve the system:

We do have different methods, let's to by subsitution.

make some change to the 2nd equation, to make c the subject: c = 156 - a

Now we plug that into the 1st equation:

5.2(156 - a) + 8.3a = 1087.10

811.2 - 5.2a + 8.3a = 1087.10

811.2 + 3.1a = 1087.10

3.1a = 275.9

a = 89


Related Questions

3) What is the difference? 7,840 - 4,971*
0 2,769
0 2,869
0 2,879
0 2,969

Answers

Answer:

2869

Step-by-step explanation:

7,840 - 4,971

Subtract.

= 2869

Answer:

0 2,869

hopefully this helped :3

FIND THE PERIMETER OF A RECTANGLE WITH LENGTH 7CM AND BREADTH 4CM.

Answers

Answer:

22cm

Step-by-step explanation:

7+7 =14

4+4= 8

14+8=22

Answer:

[tex]\boxed{Perimeter = 22 cm}[/tex]

Step-by-step explanation:

[tex]Perimeter = 2(Length) + 2(Breadth)[/tex]

Where length = 7 cm, Breadth = 4 cm

Perimeter = 2(7) + 2(4)

=> Perimeter = 14+8

=> Perimeter = 22 cm

Which one of the following statements is FALSE about symmetry? Select one: a. An object and its image in a mirror are symmetric. b. The diagonal of a rectangle is a line of symmetry. c. A square has four lines of symmetry.

Answers

Answer:

B. The diagonal of a rectangle is a line of symmetry.

Step-by-step explanation:

because the sides are not the same length. if you fold this rectangle diagonally so that Corner A meets Corner D, they will not match.

Thank Me later!

Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.

Answers

Answer:

The answer is below

Step-by-step explanation:

Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.

Answer:

Let the amount of dough needed for a small pizza be S, the amount of dough needed for a medium pizza be M and the dough needed for a large pizza be L.

The amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza, therefore:

M = (3/2)S

The amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Therefore

L = (5/2)S

the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. That is:

L = M + S

(5/2)S = (3/2)S + S

5S = 5S

The equation cannot be solved.

But if he wants the amount of dough for a large pizza to be 5/2 kg.

L = M + S

(5/2) = (3/2)S + S

S = 1 kg

cydus
How many solutions doos the equation 4+4x - 3=4x +5 have?

Answers

0 solutions because simplifying the equation gives us 1 = 5, which is never true

Answer:

No solutions

Step-by-step explanation:

4 + 4x - 3 = 4x + 5

4x + 1 = 4x + 5

Add -4x and -1 on both sides.

4x - 4x = 5 - 1

0 = 4

There are no solutions.

A block measure 22cm by 11cm by 7cm. How many of these blocks will be needed to build a wall 5 1/2m long, 22cm thick and 3 1/2m high.​

Answers

Answer:

The number of blocks that will be needed to build the wall is 2500

Step-by-step explanation:

The number of blocks that will be needed to build the wall is;

[tex]n = \frac{volume of wall}{volume of block} \\volume = l *b*h\\[/tex]

given the dimensions of the block and wall as;

block = 22cm by 11cm by 7cm

wall = 5 1/2m long, 22cm thick and 3 1/2m high. = 550cm by 22cm by 350cm

substituting into the equation, we have;

[tex]n = \frac{volume of wall}{volume of block} \\volume = l *b*h\\\\n = \frac{550*22*350}{22*11*7} \\n = 2500[/tex]

The number of blocks that will be needed to build the wall is 2500

I need serious help. I will give a BRAINLIEST ANSWER to the person who helps me! It is urgent!!!!

Answers

OMG!! How is is that even a maths question, it looks so hard!
I’m so sorry but I have no clue what that is!

Division by 0 is defined ​

Answers

Answer:

This is false because any number divided by 0 is undefined.

Can anyone please explain
what a function mean? (in maths:graph,etc) i haven't learnt this but it might be useful for future references​

Answers

Answer:

For example, the position of a planet is a function of time. ... A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y (possibly the same set), the codomain of the function.

Step-by-step explanation:

please help i will give out brainliest

Answers

answer on image attached. pls give brainliest :)

Part A)

In order to obtain the y values you simply sub in the x- coordinates to the equation y=x^3 -4x.

In the spaces,from left to right, the y coordinates are

5, -3, -4, 0

Part B)

B as you know the roots ( x-intercepts ) of the equation pass through 0 and 4

which statement about 12 is not true it is a square number or it is the least common multiple of 3 and 4 or it is a factor of 60 or it is an even composite number

Answers

Answer:

it's a square number

Step-by-step explanation:

If you took $1,000 and put it into an interest-bearing savings account compounding quarterly at 3%, how much would your fund be worth at the end of one year?

Answers

Answer:

$1007.50

Step-by-step explanation:

Compounded Interest Rate Formula: A = P(1 + r/n)^t

We are given p, r, n, and t. Simply plug them into the formula:

A = 1000(1 + 0.03/4)¹

A = 1000(1.0075)¹

A = 1000(1.0075)

A = 1007.50

Find the number of vertices on this
solid.

Answers

Answer:

12

Step-by-step explanation:

A vertex is the common endpoint between two line segments, aka the points of a shape. If we count the vertices, we find 12 of them.

Answer:

There are 12 vertices on this solid

Step-by-step explanation:

Work out the size of angle x

Answers

Answer:

hope its helpful........

Answer

x = 121°

Explanation

Angle bottom left corner.

Since the triangle touches a horizontal plane, we know the 2 angles have to add up to 180 degrees.

115 + x = 180

x = 180-115 = 65°

Angle at the top

We know a full circle is 360 degrees.

Let’s say the triangle angle is x

x + 304 = 360

360 - 304 = 56°

Angle of triangle at the bottom right.

We know angles of a triangle add up to 180°.

Since we just calculated the 2 other triangles:

56° + 65° + x = 180

180 - 56 - 65 = 59°

As the triangle sits on a horizontal plane, the angle marked x in the picture + the interior angle have to add to 180.

59° + x = 180

x = 180 - 59 = 121°

A line containing the points (9, 1) and (5, 5) intersects the x -axis at what point?

Answers

Answer:

It intersects the x-axis at x = 10

Step-by-step explanation:

Step 1: Find slope m

m = (5 - 1)/(5 - 9)

m = 4/-4

m = -1

y = -x + b

Step 2: Find b

5 = -5 + b

b = 10

Step 3: Rewrite equation

y = -x + 10

Step 4: Find x when y = 0

0 = -x + 10

-10 = -x

x = 10

So the graph crosses the x-axis at 10.

Which of these are a trinomial?

Answers

Answer:

D

Step-by-step explanation:

Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.

Answers

Answer:

Well, Your best choice is y=1/4x+ 1

Sorry, I don't have a explanation. Hope This Helps!!~

the cube of the difference of 4 times x and 6 divided by 2 times the sum of x and 1
4(1 - 6)2
25 + 1
(41 – 6)
2(1 + 1)
413 - 6
2(1 + 1)
(41 - 6)
21 + 1


Answers

Answer:

  [tex]\dfrac{(4x-6)^3}{2}(x+1)[/tex]

Step-by-step explanation:

Maybe you want your verbiage written as a mathematical expression.

"the difference of 4 times x and 6" is (4x -6). "the sum of x and 1" is (x+1).

No other grouping is indicated, so we have ...

  [tex]\boxed{\dfrac{(4x-6)^3}{2}(x+1)}[/tex]

the number of bacteria in a sample can be modeled by the equation yy=75(.8)^xx where y is the number of bacteria and is x the number of days elapsed. what is the rate of decay?

Answers

Answer:

20 % decay

Step-by-step explanation:

Exponential equations are in the form

y = a * b^x

a is the initial value

b is the growth or decay

b>1 is growth b-1 rate  of growth

b <1 decay  1-b rate of decay

1-.8 = .2

Change to decimal form

20 % decay

Tom brown decided to purchase a new bike on an installment loan.The bike was $300.00He agreed to pay $30 a month for 12 months . What is the finance charge in dollars

Answers

Answer:

The answer is $60. $30 × 12 = $360 – $300 = $60.

Step-by-step explanation:

Which of these tables represents a function

Answers

Answer:

Z.

Step-by-step explanation:

A function must pass the Vertical Line Test. No 2 y-values can have the same x-values. Since the first 3 graphs fail to pass the vertical line test, our answer is Z.

Help!!!! please!!!!!

Answers

Answer:

40cm²

Step-by-step explanation:

The lateral area is the sum of the faces's area

let La be the lateral area

La= 4*5*2= 20*2= 40 cm²

Please answer ASAP (No explanation needed!) <3

Answers

Answer:

Step-by-step explanation:

813143

Please help urgently

Answers

Answer:

203.5

Solution,

Onions less than 60 grams = 2 --> Pickling

Onions greater than 120 grams = 5 + 3 = 8 --> Market

Onions between 60 and 120 = 13---> Processing

Total frequency = 2 + 8 + 13 = 23

Now,

[tex]x = \frac{13}{23} \times 360[/tex]

[tex]x = 203.48[/tex]

[tex]x = 203.5[/tex]

Hope this helps ..

Good luck on your assignment...

Answer:

x=190°

Step-by-step explanation:

find the frequency of the given numbers dividing by their numbers

onions less than 60g=(2+2/2)=²/9

onions greater than 120g=(5+3/2)= 4 (4+3/2). =3.5/9

To convert into degrees so that they can fit in the bar graph multiply the frequencies by 360 that is:

picking=²/9×360=80°

market=3.5/9×360=90°

x=360°-90°-80°

x=190°

confirmation

pie chart° add up to 360°

picking=80°

market=90°

x=190°

190°+80°+90°=360°

i need an answer ASAP! Fill in the table. To obtain each planets distance from the sun and orbital period. ​

Answers

1.47 and the other one would be 1.46

Answer:

Mercury: 0.39 and 0.242

Venus: 0.72 and 0.616

Earth: 1 and 1

Mars: 1.52 and 1.88

Jupiter: 5.20 and N/A

Saturn: N/A and 29.5

Uranus: 19.18 and 84.0

Neptune: 30.06 and 165

Step-by-step explanation:

edge2021

HELP If you apply these changes to the linear parent function , f(x)-=x what is the equation of the new function vertically compress by a factor of 5 shift up 7 units

Answers

Answer:

transformed function, g (x) = (1/5)(-x)+7

Step-by-step explanation:

Assuming

f (x) = -x           (and not f(x)-=x)

To compress/expand, we apply

g (x) = a*f(bx-k)+h

where

a=vertical stretch factor, a= 1/5 for compression (to stretch 5 times, a=5)

b=horizontal compression factor (=1 i this case)

h=vertical translation (=7)

k=horizontal translation (=0)

So the transformed function,

g (x) = (1/5)(-x)+7

It is predicted that garden gnome value will go up by 2% each year, forming a geometric progression. Jean-Claude has a garden gnome currently valued at £80,000. If the rate of inflation is correct:


a) What will Jean-Claude's gnome be worth after 1 year?


b) What is the common ratio of the geometric progression?


c) What will Jean-Claude's gnome be worth after 10 years?


d) It will take k years for the value of Jean-Claude's gnome to exceed £120,000. Find k.

Answers

Answer:

Step-by-step explanation:

a ) The worth of Jean-Claude's gnome after 1 year

= 80000 x 1.02

=  £81600

b ) common ratio of geometric progression

= 81600 / 80000

= 1.02

c )  worth after 10 years

= 80000 x 1.02¹⁰

= 80000 x 1.21899

= £97519.55

d )

120000 = 80000 x [tex]1.02^k[/tex]

1.5 = [tex]1.02^k[/tex]

ln1.5 = k ln 1.02

k = ln 1.5 / ln 1.02

= .4054 / .0198

= 20.47 years .

A passenger ship and an oil tanker left port sometime in the morning; the former headed north, and the latter headed east. At noon the passenger ship was 40 mi from port and moving at 30 mph, while the oil tanker was 30 mi from port and moving at 20 mph. How fast was the distance between the two ships changing at that time

Answers

Answer:

distance between the two ships changing at that time is 36 mph

Step-by-step explanation:

given data

ship = 40 mi from port

ship moving = 30 mph

oil tanker = 30 mi from port

oil tanker moving = 20 mph

solution

we will apply here pythagoras theorem so we get here

x² + y² = L²   .....................1

here x is distance of ship from port

and y is distance of oil tanker from port

and L is distance between oil tanker and ship

so put here value and we get

40² + 30² = L²

L = 50 mile

now we differentiate equation1 with respect to time t

[tex]2x\ \frac{dx}{dt} + 2y\ \frac{dy}{dt} = 2L\ \frac{dL}{dt}[/tex]      ...............2

put here value  and we get

40 × 30 + 30 × 20 = 50 × [tex]\frac{dL}{dt}[/tex]  

[tex]\frac{dL}{dt}[/tex]   = 36 mph

so distance between the two ships changing at that time is 36 mph

PLLLLLLLLLLEEEEEEEEAAAAAAAASSSSSSSSSSEEEEEEE HELP ME Tracy has forgotten how to complete the square. (A) Give her a detailed description of the process so she can understand how to do it. (B) and provide an example of each.

Answers

Answer:

in an equation ax^2+bx+c to complete the square it turns to

a(x+d)^2+e where d=b/2a and e=c-b^2/4a

example:x^2+4x+1=0

complete the square:

d=b/2a=4/2(1)=2

e=c-b^2/4a=1-4^2/4(1)

e=1-16/4=-3

a(x+d)^2+e

1(x+2)^2-3=0

check if it is rigt: (x+2)^2=x^2+4x+4

x^2+4x+4-3=

x^2+4x+1 it is correct

Which of the following steps would you preform to the system of equations below so that the equations have opposite y-coefficients? 4x+2y=4 12x-y=26

Answers

Answer:

FIRST.  Multiply both sides of the bottom equation by 2

Step-by-step explanation:

12x - y = 26

  ×2        ×2

24x - 2y = 52

-2 is opposite to 2

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