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bogdanovich [222]
3 years ago
11

: A theater sells tickets for a concert. Adult tickets sell for $6.50 each, and children's tickets sell for $3.50 each. The thea

ter sells 548 tickets for $2,881. How many types of each type were sold? ​
Mathematics
1 answer:
BARSIC [14]3 years ago
5 0

Answer: 321 adult tickets and 227 children tickets were sold.

Step-by-step explanation:

Let x represent the number of adult tickets that were sold.

Let y represent the number of children tickets that were sold.

The total number of tickets that the theatre sold is 548. This means that

x + y = 548

Adult tickets sell for $6.50 each, and children's tickets sell for $3.50 each. The total ticket sales was $2881. This means that

6.5x + 3.5y = 2881 - - - - - - - - - - -1

Substituting x = 548 - y into equation 1, it becomes

6.5(548 - y) + 3.5y = 2881

3562 - 6.5y + 3.5y = 2881

- 6.5y + 3.5y = 2881 - 3562

- 3y = - 681

y = - 681/ -3

y = 227

x = 548 - y = 548 - 227

x = 321

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1 point
galina1969 [7]

Answer:

(B) 20

Step-by-step explanation:

Let small puppet be represented by-----------------s

Let large puppet be represented by-----------------l

Total number of puppets expression will be: s+l =25---------a

The expression for total costs will be : 1$ s + $2l=$30-------b

Equation a can be written as; s= 25-l ------------c

Use equation c in equation b as

$1( 25-l )+$ 2l = $30

25-l + 2l = 30

25+l =30

l= 30-25 =5

l, large puppets = 5

s, small puppets = 25-5 = 20

Answer choice A is incorrect because 25 is the total number of all puppets

Answer choice C and D are incorrect because the numbers are less that that of small puppets.

3 0
3 years ago
How to solve 10(x+4)(x-4)
IceJOKER [234]

Answer:

1 Use Difference of Squares:

a^2-b^2=(a+b)(a−b).

10(x^2-4^2)

2 Simplify 4^2 to 16

10(x^​2​​ −16)

3 Expand by distributing terms.

10x^​2 −160

Step-by-step explanation:

Hope dis helps and pls  mark me as brainlist!!!

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4 0
3 years ago
$4.95 chocolate bars are now on sale for 35% off. what will the chocolate bars cost now? (show work)
Tema [17]
= 4.95 X .65 = 3.2175 ( 3.22).
4.95 = 100% of the price
100 less 35 = 65
4.95 X .65% = 3.2175 or 3.22
6 0
3 years ago
What is the domain of the function graphed below?
JulijaS [17]

Answer:

Domain: 0, 5

Range: 0, 2

Step-by-step explanation:

The Domain is the first coordinate which is x.

The Range is the second coordinate which is y.

Hope This Helps :)

5 0
3 years ago
A surveyor holds a laser range finder 3 feet above the ground and determines that the range finder is 92 feet from a building an
Ivahew [28]

Answer:

55.64

Step-by-step explanation:

The range finder is 92 feet from the building and 106 feet from the top of the building i.e. hypotheses

We will use the Pythagorean theorem:

x^2 = 106^2 - 92^2

= 11,236 -  8,464

= 2,772

= √2,772

x = 52.64978632

The height of the building:

h = x + 3

= 52.64978632 + 3

= 55.64978632

or

≈ 55.64 feet

8 0
3 years ago
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