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finlep [7]
3 years ago
9

At a movie theater, the price of 2 adult tickets and 4 child tickets is $48. The price of 5 adult tickets and 2 child tickets is

$64. What is the ticket price for one adult and for one child?
Mathematics
1 answer:
SpyIntel [72]3 years ago
3 0

Answer:

10$ for an adult and 7$ for a child

Step-by-step explanation:

price for an adult = a

price for a child = b

2a + 4b = 48.............(i)

5a + 2b = 64.............(ii)

make a subject of the formula in equation (i)

2a = 48 - 4b

divide through by 2

a = 24 - 2b

Insert the value of a in equation (ii)

5(24 - 2b) + 2b = 64

120  - 10b + 2b = 64

collect like terms

- 8b = 64 - 120

-8b = -56

divide both sides by -8

b = 7

insert the value of b in equation(i)

2a + 4(7) = 48

2a + 28 = 48

2a = 48 - 28

2a = 20

divide both sides by 2

a = 10

The price for one adult is $10 while the price for one child is $7

<em>credit goes to vintechnology</em>

hope that helped :)

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MariettaO [177]

Answer:

44fps, or 44:1

Step-by-step explanation:

it is already a unit rate

3 0
3 years ago
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During the first 11 months of a recent year, a certain charitable organization received an average (arithmetic mean) of $20,600
Elena L [17]

Answer:

Donation received in December = $ 25,400

Step-by-step explanation:

Given:

Average for 11 months = $20,600

Average for entire year = $ 21,000

Total amount received in first 11 months (A) = $20,600 x 11

                                                                    = $226,600

Total amount received in entire year( 12 months) (B) = $ 21,000 x 12

                                                                                 = $252,000

Therefore,

Amount received in December month = (B) - (A)

                                                                   = $252,000 - $226,600

                                                                   = $ 25,400

5 0
3 years ago
The Commutative Property of Addition would say<br> 3y + 6 = _______
spayn [35]

Answer:

6 + 3y

Step-by-step explanation:

a + b = b + a

Numbers can be added in any order, and you still get the same answer

3 0
3 years ago
Find the area of the region between the curve y= 2ln(x) and the horizontal axis for 1&lt;= x &lt;= 4
marissa [1.9K]

Answer:

5.09 units

Step-by-step explanation:

Given equation

y=2\ln x=f(x) in the interval 1\le x\le 4

So we integrate y in the given interaval

\int f(x)=2\int\limits^4_1 {\ln x}dx

Let us integrate \ln x first.

let

u=\ln x, dv=dx

du=\dfrac{1}{x}, v=x

\int\ln x dx=udv

Using integration by parts we get

uv-\int vdu

=x\ln x-\int x\dfrac{1}{x}dx

=x\ln x-dx

=x\ln x-x+C

So here

\int f(x)=2\int\limits^4_1 {\ln x}dx\\ =2(x\ln x-x)_1^4\\ =2[(4\ln 4-4)-(1\ln 1-1)]\\ =2[4\ln 4-4+1]\\ =5.09\ units

The area of the the region between the curve and horizontal axis is 5.09 units.

5 0
3 years ago
In a triangle, the longest side is 6x2 + 8 and the base is 12x -3. If the shortest side is half of the length of the longest sid
GrogVix [38]
Longest is 6x^2+8
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perimiter=sum of sides


so
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8 0
3 years ago
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