pdcms sold a total of 110 tickets for the school play. an adult ticket is $7 and a student ticket is$4. the school collected a total of $569 how many adults and how many students attended the play

Answers

Answer 1

Answer: Let the number of adult tickets be x.
Since there are 110 tickets sold in all, student tickets will be 110 - x.

Cost for adult tickets = 7*x = 7x
Cost for student tickets = 4*(110 -x) = 4*110 - 4*x = 440 - 4x

Total cost = $569

7x + (440 - 4x) = 569

7x + 440 - 4x = 569

7x - 4x = 569 - 440

3x = 129

x = 129/3

x = 43

Recall x is the number of adults tickets = 43

Student tickets = (110 - x) = 110 - 43 = 67

Therefore from the number of tickets sold it is safe to assume that 43 adults and 67 students attended the play.

Related Questions

To solve a problem, we often _________ the given information into algebraic expressions and equations.
The age of a dog is proportional to the age of a human. based on the graph, determine a dog’s age if a human is 3 years old. (1 point)
A house cost $120,000 when it was purchased. The value of the house increases by 10% each year. What is the rate of growth each month?select the correct answer below.A) 0.797% B) 0.00797% C) 0.833% D) 0.00833%
What is 1/2 of a liter in mL?
In the year 2000, there were 5,000 people living in the town of Clairmont. By 2010, the population had grown to 5,600. What is the percent of change in the population from 2000 to 2010?88.3% 11% 12% -20%

Simplify:3x×2x×x⁴ plz help me I am confuse I think the answer is 6x⁶ It is or not plz help me❤️❤️

Answers

Answer:

6x^2^x^2+x^4

Step-by-step explanation:

Answer:

Yes your answer is correct

Step-by-step explanation:

First of all you multiply 3x with 2x which equals 6x power 2 because we sum the power. Then we multiply 6x power 2 with x power 4 which equals 6x power 6 because X is 1X so the answer is 6X power 6

Which situations can be simulated using this spinner? Select three options.A spinner with 6 equal sections.

A: Predicting the gender of a randomly chosen art teacher if 1 of 3 art teachers is female
B: Predicting the gender of a randomly chosen history teacher if 12 of 15 history teachers are female
C: Predicting the gender of a randomly chosen biology teacher if 8 of 12 biology teachers are female
D: Predicting the gender of a randomly chosen chemistry teacher if 4 of 9 chemistry teachers are female
E: Predicting the gender of a randomly chosen health teacher if 2 of 4 health teachers are female

Answers

Answer:

A: Predicting the gender of a randomly chosen art teacher if 1 of 3 art teachers is female.

C: Predicting the gender of a randomly chosen biology teacher if 8 of 12 biology teachers are female.

E: Predicting the gender of a randomly chosen health teacher if 2 of 4 health teachers are female.

Step-by-step explanation:

Notice that the spinner has 6 equal sections.

So, all situations that can be simulated with such spinner must be multiples, divisors of 6, or a number least than 6, that way, we could use the 6 equal-section spinner.

Option A uses 1 of 3, Option B uses 8 of 12, and Option E uses 2 of 4.

Therefore, the anwers are A, C and E.

Answer: A C E

Step-by-step explanation:

How do you write 39/10 as a percentage?

Answers

Answer:
39/10

39 ÷ 10= 3.9

3.9 x 100 = 390%

39/10
= (39*10) / (10*10)
= 390/ 100
= 390%

The final answer is 390%~

A car moves at speed v across a bridge made in the shape of a circular arc of radius r. (a) Find an expression for the normal force n acting on the car when it is at the top of the arc. (Use any variable or symbol stated above along with the following as necessary: m and g.) n

Answers

Answer:

$n=m(g-(v^(2))/(r))$

Step-by-step explanation:

If a car is moving across a circular bridge, made in the shape of a circular arc then the force that balances the car when it is on the top of arc will be

n + F = mg

Where n = normal force acting on the car

F = centripetal force

m = mass of the car

We know centripetal force $F=(mv^(2))/(r)$

where m = mass of the car

v = velocity of the car on the top of the arc

r = radius of the arc

Therefore, the expression for the normal force 'n' will be

$n+(mv^(2))/(r)=mg$

$n=mg-(mv^(2))/(r)$

$n=m(g-(v^(2))/(r))$

There were 42 runners to start a race. In the first half of the race, 1 over 3 of them dropped out. In the second half of the race, 4 over 7 of the remaining runners dropped out. How many runners finished the race?

Answers

42 runners total

$(1)/(3)$ of 42 (14) dropped out in first half.

42 - 14 = 28 remaining.

$(4)/(7)$ of 28 (16) dropped out in second half.

28 - 16 = 12 runners finished the race.

1/3 of 42 is 14 (42 divided by 3 is 14) so u subtract 14 from 42 which is 28. Then you would divide 28 by 7 which is 4 and then since the fraction is 4/7, u would multiply 4 and 4 to get 16. and finally subtract 28 and 16.

answer is 12 runners

Slope-intercept from two points (1,4) and (2,2)