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The admission fee at the steamboat springs hot air balloon festival is $1.50 for children and $4.00 for adults. On a certain day

GaryK [48]

Answer:

Number of child tickets = 800

Number of adult tickets = 330

Step-by-step explanation:

Let c = number of child tickets

and a= the number of adult tickets.

We are given:

The admission fee at the steamboat springs hot air balloon festival is $1.50 for children and $4.00 for adults.

On a certain day, 1,130 enter the festival and 2, 520 is collected.

Making equations:

$c+a=1130$ (because total people entered are 1130, so adding number of adult and child tickets will give us total number of people)

$1.50c+4.00a=2520$ (because total money collected is 2520, so adding coat of adult and child tickets will give us total money)

Now, solving these equations simultaneously, we can find values of x and y

Let:

$c+a=1130--eq(1)\\1.50c+4.00a=2520--eq(2)$

From equation 1 find value of c and put it in eq(2)

$c+a=1130\\c=1130-a$

Putting value of c in eq(2)

$1.50c+4.00a=2520\\Put\:c=1130-a\\1.5(1130-a)+4a=2520\\1695-1.5a+4a=2520\\-1.5a+4a=2520-1695\\2.5a=825\\a=\frac{825}{2.5}\\a=330$

So, we get value of a = 330

Now, punting value of a in eq(1) to get value of c

$c+a=1130\\c+330=1130\\c=1130-330\\c=800$

So, we get value of c = 800

Therefore:

Number of child tickets = c= 800

Number of adult tickets = a = 330

4 0

3 years ago

On the dance decoration committee, there are 6 seniors, 4 juniors, and 5 sophomores. Of these learners, 4 seniors, 3 juniors, an

AfilCa [17]

Using it's concept, it is found that there is a 0.8 = 80% probability that the learner is a senior or a male.

<h3>What is a probability?</h3>

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there is a total of 6 + 4 + 5 = 15 students. Of those, there are 6 seniors, and 6 male non-seniors, hence there are 12 desired outcomes, and the probability is given by:

p = 12/15 = 0.8 = 80%.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

4 0

2 years ago

If the geometric series 54+36+...+128/27 has seven terms in it's sum then the value of the sum is...

Scorpion4ik [409]

I would say 4 but you might want to check again

6 0

3 years ago

What is the slope of the line?

suter [353]

Answer:

$m=-3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (2, 3)

Point (3, 0)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute [SF]: $m=\frac{0-3}{3-2}$
Subtract: $m=\frac{-3}{1}$
Divide: $m=-3$

3 0

3 years ago

What is the input to a trigonometric function? A ratio, the x position of a point of the circle, a central angle of a circle or

devlian [24]

Answer:

hat is the input to a trigonometric function? A ratio, the x position of a point of the circle, a central angle of a circle or the y position of a point on the circle

Ask for details FollowReport by Sevanah9445 3 days ago

Answers

Step-by-step explanation:

8 0

3 years ago

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