All categories

3 years ago

The admission fee at a carnival fair is $4.50 for children

Mathematics

2 answers:

ycow [4]3 years ago

8 0

1386 for adults and 814 for children

Romashka-Z-Leto [24]3 years ago

4 0

Answer:

Adult=1,385.71

Children=814.29

Approximately

Adult=1386

Children=814

Step-by-step explanation:

c= number of children

a= number of adults

Admission fee for children=$4.50

Admission fee for adults=$8.00

Total attendees=2200

Total amount realized=$5050

We need two equations to solve the two unknowns

c + a=2200 (1)

4.50c + 8.00a=5,050 (2)

From (1)

c + a=2200

c=2200 - a

Substitute c=2200 - a into (2)

4.50c + 8.00a=5,050

4.50(2200 - a) + 8.00a=5050

9900 - 4.50a +8.00a=5050

Collect like terms

9900-5050= -4.50a+8.00a

4,850=3.5a

Divide both sides by 3.5

1,385.71=a

Substitute a=1,385,71 into (1)

c + a=2200

c+1385.71=2200

c=2200-1385.71

=814.29

c=814.29

You might be interested in

A board 1.2 m long is cut into two so that the length of the longer piece is 15cm longer than twice the length of the shortest p

MAXImum [283]

Answer:

The length of the shorter piece=0.35 m

Step-by-step explanation:

Let the lengths be as follow;

Shorter piece=x

Longer piece=15 cm longer than twice shorter piece(x)

Since 1 m=100 cm, 15 cm=15/100=0.15 m

Longer piece= (2×x)+0.15=2x+0.15

Total length=1.2 m

Total length=shorter piece+longer piece

Replacing;

1.2=x+2x+0.15

3x=1.2-0.15

3x=1.05

x=(1.05/3)=0.35

The length of the shorter piece=x=0.35

4 0

3 years ago

2. A record store is going out of business and sold any

liubo4ka [24]

Answer:

A) c + CD = 20

B) 6c + 12CD = 192

Multiplying equation A by -6 we get:

A) -6c -6CD = -120

B) 6c + 12 CD = 192

Adding the equations we get

0 + 6 CD = 72

There are 12 CD's and

c + 12 = 20

There are 8 cassettes

Step-by-step explanation:

7 0

2 years ago

Solve.<br><br> −7x = x2 + 12

adelina 88 [10]

Answer:

x = - 4 , x = - 3

Step-by-step explanation:

- 7x = x^2 + 12

Take all terms to one side of equation.

x^2 + 7x + 12 = 0

Find which 2 numbers multiply to give 12 and add to give 7.

a × b = 12

a + b = 7

a = 4

b = 3

Split the middle term using these 2 numbers.

x^2 + 4x + 3x + 12 = 0

Factorise each pair of terms separately.

x ( x + 4 ) + 3 ( x + 4 ) = 0

Bring out common factor of ( x + 4 ) and factorise.

( x + 4 ) ( x + 3 ) = 0

Using the Null factor law, make the expressions in each pair of parentheses equal 0.

x + 4 = 0

x = - 4

AND

x + 3 = 0

x = - 3

THEREFORE:

x = - 4 , x = - 3

5 0

3 years ago

Read 2 more answers

What is the interquartile range of this set of data? 15,19,20,25,31,38,41

cupoosta [38]

Answer: 19.

Step-by-step explanation:

1: Place your numbers in numerical order from smallest to largest; 15,19,20,25,31,38,41.

2. Find your median in the set of numbers; 15,19,20,25,31,38,41.

3. Find Q1 and Q3 in your set of numbers by placing parentheses around the median you have just found. (15,19,20),25,(31,38,41.)

4. In this instance, you need to find the medians of the two number sets in parentheses; (15,19,20), 19 being Q1, and (31,38,41), 38 being Q3.

5. Using the interquartile range formula; Q3-Q1= IQR, plug in your numbers.

38-19=19, making the answer 19.

7 0

3 years ago

What is the volume of the composite figure below?

Rina8888 [55]

The answer has to be A

4 0

3 years ago

Read 2 more answers