1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vitek1552 [10]
1 year ago
10

to go to a movie, a family with 2 adults and 4 children spends 64.00. a family containing 1 adult and 3 children spends 42.00. f

ind the cost of an adult movie ticket and the cost of a child movie ticket
Mathematics
1 answer:
yarga [219]1 year ago
7 0

Answer: The cost of a ticket for an adult is $12 while for children it is $10.

Step-by-step explanation:

Let's assume that cost for adults is A while for children it is C

Now,

2 adults and 4 children spend $64.

2A + 4C = 64

1 adult and 3 children spend $42.

A + 3C = 42

Multiply by 2

2A + 6C = 84

By subtracting equations

6C - 4C = 84 - 64

2C = 20

C = 10

A = 42 - 3(10)

A = 12

Hence "The cost of a ticket for an adult is $12 while for children it is $10".

You might be interested in
IF THE TRIANGLES IN THE ABOVE FIGURE ARE PROPORTIONAL, WHATS THE LENGTH OF SIDE B?
Tema [17]
<h3>Answer: choice B) 36</h3>

=================================================

Explanation:

The vertical sides, when read from left to right, can be divided to get this fraction: 9/90

Following the same order and direction, we divide the slanting corresponding sides to get: b/360

The fractions we constructed are equal to one another, as the triangles are said to be proportional.

We have the fraction 9/90 = b/360

Lets cross multiply and solve for b

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

9/90 = b/360

9*360 = 90*b

3240 = 90b

90b = 3240

90b/90 = 3240/90

<h3>b = 36</h3>

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

A quick way to do this may be to notice how the jump from 9 to 90 is "times 10" so the jump from b to 360 is also "times 10". Think in reverse to divide 360 over 10 and we land on 36 as our answer. This line of thinking does not work as simple for all proportional problems.

5 0
3 years ago
Two integers, A and B, have a product of -35. What is the largest possible sum of A and B? Explain how you found your answer. wh
8090 [49]
Just factor -35 so -7,5 35,-1 from this just add up the possible answers and there is the answer so it is 34 with A and B being -1 and 35
4 0
3 years ago
Two chemicals A and B are combined to form a chemical C. The rate, or velocity, of the reaction is proportional to the product o
Keith_Richards [23]

Answer:

  32.1 g

Step-by-step explanation:

In each 3 grams of C, there are 2 grams of A and 1 gram of B. So, for some amount C, the amount remaining of A is 40 -(2C/3), and the amount remaining of B is (50 -C/3). Since the reaction rate is proportional to the product of these amounts, we have ...

  C' = k(40 -2C/3)(50 -C/3) = (2k/9)(60 -C)(150 -C) . . . for some constant k

This is separable differential equation with a solution of the form ...

  ln((150 -C)/(60 -C)) = at + b

We know that C(0) = 0, so b=ln(150/60) = ln(2.5). And we know that C(10) = 20, so ln(130/40) = 10a +ln(2.5) ⇒ a = ln(1.3)/10

Then our equation for C is ...

  ln((150 -C)/(60 -C)) = t·ln(1.3)/10 +ln(2.5)

__

For t=20, this is ...

  ln((150 -C)/(60 -C)) = 2ln(1.3) +ln(2.5) = ln(2.5·1.3²) = ln(4.225)

Taking antilogs, we have ...

  (150 -C)/(60 -C) = 4.225

  1 +90/(60 -C) = 4.225

  C = 60 -90/3.225 ≈ 32.093 . . . . . grams of product in 20 minutes

In 20 minutes, about 32.1 grams of C are formed.

7 0
3 years ago
The yoga instructor at Universe Fitness spent $1,925 on 200 items for the upcoming yoga seminar. He purchased yoga mats for $12.
Alex17521 [72]

Answer:

The auditing book is not accurate

Step-by-step explanation:

25($12.5)+50($8)+125($10)+= $1,925

$312.5 + $400 + $1,250 = $1,925

$1,962.5 not= to $1,925

4 0
3 years ago
Solve for g: 4g/14 - 3/7 - g/14 = 3/14
Luden [163]
<span><u><em>Answer:</em></u>
g = 3

<u><em>Explanation:</em></u>
To solve for g, we will need to isolate the g on one side of the equation.
<u>This can be done as follows:</u>
</span>\frac{4g}{14} -  \frac{3}{7} -  \frac{g}{14} =  \frac{3}{14}<span>

<u>1- multiply all terms by 14 to get rid of the fraction:</u>
4g - 6 - g = 3

<u>2- Combine like terms:</u>
4g - g = 3 + 6
3g = 9

<u>3- Isolate the g:</u>
</span>\frac{3g}{3} =  \frac{9}{3}
<span>
g = 3

Hope this helps :)</span>
8 0
3 years ago
Read 2 more answers
Other questions:
  • If 52 men can do a piece of work in 35 days in how many days will 28 men to it?
    14·2 answers
  • Why was the baby any confused ?
    12·1 answer
  • I need help in my adding and/or subtracting fractions
    15·1 answer
  • What is the quotient of 6 ÷ 1/3 =
    9·2 answers
  • Daniela bought a square carpet for her dining room of an area of 9 ft squared. The space of of the dining room is approximately
    7·1 answer
  • PLEASE DONT SKIP THIS I NEED HELP<br><br> Can someone please explain how to solve this problem?
    13·1 answer
  • The ratio of flowers the rose bushes bloom is 5 red for every 7 yellow. If there are 105 yellow rose blooms, about how many red
    9·1 answer
  • Help me answer the question ​
    5·2 answers
  • What value of x makes this equation true
    6·1 answer
  • Me ajudem por favor<br><br><br><br><br> PS: Explicar resposta
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!