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tatuchka [14]
3 years ago
5

Emily went to the movie theater for her birthday. A mix of adults and children attended, making a total of 22 people. Each adult

ticket was $9 and each child's ticket was $5.50. Is the total cost for the party was $125.5, then how many adults and how many children attended
Mathematics
1 answer:
viktelen [127]3 years ago
3 0

Answer:

13 children and 9 adults if the total cost is $152.5

Step-by-step explanation:

Let x children and y adults

x + y = 22 (1)

5.5x + 9y = 125.5 (2)

y = 22 - x

5.5x + 9(22 - x) = 125.5

5.5x + 198 - 9x = 125.5

-3.5x = 125.5 - 198

-3.5x = -72.5

x = 20.7

y = 22 - x = 1.3

Which is not possible

If the total cost is $152.5

x + y = 22 (1)

5.5x + 9y = 152.5 (2)

y = 22 - x

5.5x + 9(22 - x) = 152.5

5.5x + 198 - 9x = 152.5

-3.5x = 152.5 - 198

-3.5x = -45.5

x = 13

y = 22 - 13 = 9

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chubhunter [2.5K]
<h3>Answer:      y - 4 = -2(x - 5)</h3>

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

Explanation:

Point slope form is

y - y1 = m(x - x1)

where m is the slope and (x1,y1) is the point the line goes through.

Parallel lines have equal slopes but different y intercepts. The given equation y = -2x-3 has a slope of -2, meaning that m = -2 is also the slope of the mystery parallel line.

-2 will go in the second box that's just to the left of the parenthesis.

The coordinates of (5, 4) will go in the other remaining boxes to finish off the equation.

We go from this

y - y1 = m(x - x1)

to this

y - 4 = -2(x - 5)

5 0
3 years ago
Solve the quadratic equation for x. What is one of the roots? (x − 5)2 = 9
Sonja [21]

Answer:

x=8, x=2

Step-by-step explanation:

(x-5)^2=9 Solve by completing the square

Find square root of both sides

|x-5|=3

x=8, x=2

7 0
4 years ago
Read 2 more answers
Jordan is 27 miles short of his biking goal. Hayden went 27 miles over his goal. Which of the following statement is true?​
agasfer [191]

Answer:

Option A

Step-by-step explanation:

Jordan is 27 miles short of his biking goal.

This statement states that Jordan is 27 miles behind the goal.

Hayden went 27 miles over his goal.

This statement states that Hayden is 27 miles ahead of his goal.

Option A

Both are 27 miles away from their goal.

True.

Option B

Since, both were 27 miles away from their goal,

Statement is False.

Option C

Since, the goal was same both,

Given statement is False.

Option D

Goal was same for both Jordan and Hayden,

Statement is False.

5 0
3 years ago
Wyatt is going to a carnival that has games and rides. Each game costs $1. 25 and each ride costs $2. 75. Wyatt spent $20. 25 al
Nonamiya [84]

In the carnival the number of games number of rides Wyatt went on is 3 and 6 respectively.

<h3>What is system of equation?</h3>

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

The number of unknown objects can be find using the system of solution.

Given information-

The cost of each game is $1.25.

The cost of each ride is $2.75.

Total amount of money spent by the Wyatt is $20.25.

The number of rides he went on is twice the number of games he played.

Suppose the number of games Wyatt played is x and the number of rides he went in the carnival is <em>y. </em>

As, the number of rides he went on is twice the number of games he played. Thus,

y=2x

Let the above equation as equation one.

As total amount of money spent by the Wyatt is $20.25 and The cost of each game is $1.25 and the cost of each ride is $2.75. Thus,

1.25x+2.75y=20.25\\

Put the value of y in the above equation from the equation one as,

1.25x+2.75(2x)=20.25\\1.25x+5.5x=20.25\\6.75x=20.25\\x=3

Thus the number of games he played is 3.

Put this value of <em>x </em>in the equation one as,

y=2\times3\\y=6

Thus the number rides Wyatt went on is 6.

Hence, In the carnival the number of games number of rides, Wyatt went on is 3 and 6 respectively.

Learn more about the system of equations here;

brainly.com/question/13729904

5 0
2 years ago
1721 to 1 significant figure <br>1975 to 2 significant figure<br>76.71 to 1 decimal point​
Evgesh-ka [11]
If you need it rounded, it would be 2 then 20 then 76.1. If you just need the base numbers, it would be 1 then 19 then 76.7
7 0
3 years ago
Read 2 more answers
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