The John Jay Theater Dept has tickets at $6 for adults, $4 for teachers, and $2 for students. A total of 280 tickets were sold for one showing with a total revenue of $1010. If the number of adult tickets sold was twice the number of teacher tickets, how many of each type of ticket were sold for the showing?

let's see what to do buddy...

To find the distance between two points, we have the following relation, which is derived from the Pythagorean relation, and we do not need to prove it :

a = ( 2 , 2 ) and b = ( 4 , 7 )

[tex]d = \sqrt{ ( \: {y(b) - y(a)} \: )^{2} + ( \: {x(b) - x(a)} \: )^{2} } \\ [/tex]

Now just put the coordinates in the equation :

[tex]d = \sqrt{ ({7 - 2})^{2} + ({4 - 2})^{2} } \\ \: \: \: d = \sqrt{ {5}^{2} + {2}^{2} } \\ d = \sqrt{25 + 4} \\ d = \sqrt{29} [/tex]

So the distance between them equal :

[tex] \sqrt{29} [/tex]

And we're done buddy.

Thanks for watching good luck ♥️♥️♥️♥️♥️.

Answer:

1,3,4,2

Step-by-step explanation:

hope this helps.

Answer:

A

Step-by-step explanation:

plug in all variable values

4(-2) - 3(4) + (-5)

negative × positive = negative

positive × negative = negative

-8 - 12 - 5

-20 - 5

-25

Answer:

D

Step-by-step explanation:

Add 8 to both sides welcome :)

Answer:

The answer is D

.........

Answer:

here, in this question given the value of X will be 1 and the value of y will be (-2)

but (-2) =5-3(1)

(-2)=/ 2

so (1,(-2)) is not the solution of the given equation

hope you like the answer.........

please mark the answer as brainliest

........

Answer:

c

Step-by-step explanation:

the awnser is 165 but c is closest

Answer:

x = 16

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

10*x-5*x-3*x-(12)=0

1.1     Pull out like factors :

  2x - 12  =   2 • (x - 6)

2.1      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

2.2      Solve  :    x-6 = 0

Add  6  to both sides of the equation :

                     x = 6

Answer:

false, true, true

Step-by-step explanation:

hope this is gonna help u :D

Answer:

false true, true

Step-by-step explanation:

so 1 is false 2 is true  3 is true

i think

Answer:

9/16

6/16

10/16

8/16

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the modulus of a complex number |z1| = 6 and its argument θ1 = 70°

If z1 = a+bi, according to definition;

|z1| = √a²+b²

|z1|² = a²+b²

Since |z1| = 6, |z1|² = 6² = 36

a²+b² = 36 .......... 1

Also the argument is derived from the expression

tan θ = b/a

tan 70 = b/a

b/a = 2.75

b = 2.75a ........ 2

Substitute equation 2 into 1

a²+b² = 36

a²+(2.75a)² = 36

a²+7.5625a² = 36

8.5625a² = 36

a² = 36/8.5625

a² = 4.204379

a = √4.204379

a = 2.051 (to nearest thousandth)

Since b = b = 2.75a

b = 2.75(2.051)

b = 5.639 (to nearest thousandth)

z1 = 2.051+5.639i

Answer: [tex]-5\sqrt{3}-5i[/tex]

Step-by-step explanation: It was right on Khan

Answer:

72

Step-by-step explanation:

just take off two zeros

Answer:

Step-by-step explanation:the answer isis currently 72

Answer:

f(-2) = -6

Step-by-step explanation:

2(-2-3) + 4

2(-5) + 4

-10 + 4

-6

Answer:

0.5

Step-by-step explanation:

Answer:

its 0.5 hope this helped

Step-by-step explanation:

Answer:

450 miles in total during her training

Step-by-step explanation:

Since it does say she has 30 days to train and she said she will ride her bike 15 miles everyday she trains so she will have ridden her bike for 450 miles in total

30 days to train x 15 miles per day = 450 miles in total

Step-by-step explanation

Ratio equivalent to 12:3

= 12:3

= 12/3 (.°.3x4= 12 and 3x1=3)

= 3x4/3x1 (.°. cancellation of 3 from numerator and denominator)

= 4/1

likewise, 4:1 , 60:15 , 84:21 , 132:33..............etc no. of ratios are equivalent to 12:3

.°. Required ratios which are equivalent to 12:3 are4:1 , 60:15 , 84:21 , 132:33..............etc

The ratios are equivalent to the given ratio are 4:1 and 24:6.

The given ratio is 12:3.

When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another.

Here, the equivalent ratio to 12:3 are

12/3 : 3/3

= 4:1

12×2:3×2

= 24:6

Therefore, the ratios are equivalent to the given ratio are 4:1 and 24:6.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ6

Answer:

sum of two function

Step-by-step explanation:

Answer:

72.4$

Step-by-step explanation:

We can use cross multiplication here

[tex]\frac{18.10}{originalbill} = \frac{25}{100}[/tex]

18.10 x 100 = 25 x original bill

1810 = 25 x original bill

72.4 = original bill

0.070 is rounded to 2 significant figures

Answer:

0.070

Step-by-step explanation:

Answer:

Problem 1:  HI = 12.22

Problem 2:  AB = 16.23

Step-by-step explanation:

Problem 1:

tan = opposite / adjacent

HI = x

tan 42° = 11 / x

multiply both sides of the equation by x

x (tan 42°) = 11

divide both sides of the equation by tan 42°

x = 11 / tan 42°

tan 42° = 0.90 (given)

x = 11 / 0.90

x = 12.22

Problem 2:

cosine = adjacent / hypotenuse

cos 52° = 10 / c

multiply both sides by c

c (cos 52°) = 10

divide both sides by (cos 52°)

c = 10 / cos 52°

cos 52° = 0.616 (given)

c = 10 / 0.616

c = 16.23

Answer:

0.154 °C/minute

Step-by-step explanation:

100 °C - 19 °C = 81 °C

(81 °C)/(525 minutes) = 0.154 °C/minute

Answer:2 students from each of the 15 classes because we don’t know the exact amount

C for the lazy readers

Step-by-step explanation:

just finished taking the test

The most appropriate random sample is 2 students from each of the 15 classes.

In statistics, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a procedure for randomly choosing a sample.

Given, Lorrie wants to determine the average amount of time that students at her school spend on the computer each day.

There are 350 students in 15 classes.

After going through the options we can conclude that the most appropriate random sample is 2 students from each of the 15 classes.

learn more about random samples here :

https://brainly.com/question/12719656

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Answer:

Divide each ingredient by 3

Step-by-step explanation:

180 / 3 = 60g onions

120 / 3 = 40g carrots

1 tablespoon of oil

200 g tomatoes

0.4 vegetable stock.

Hope this helps!

Answer:

60g onions

40g carrots

1 tablepoon of oil

200g tomatoes

0.4 vegetable stock

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

GFE

EFG

I'm not sure, but I hope this helps in some way!

Answer:

I think it's 90?

Step-by-step explanation:

Answer:

Step-by-step explanation:

So you think that x = -5 is the solution for the inequality? Let's check it out.

(Check)

- Substitute x = -5 in the inequality

[tex]-6<3(-5)+9<21\\-6<-15+9<21\\-6<-6<21[/tex]

If it was the symbol ≤ you'd be correct, but it's < so It's a bit wrong.

Now let's solve the inequality. Separate the inequality by parts.

[tex]\left \{ {{-6<3x+9} \atop {3x+9<21}} \right. \\\left \{ {{-6-9<3x} \atop {3x<21-9}} \right. \\\left \{ {{-15<3x} \atop {3x<12}} \right. \\\left \{ {{x>-5} \atop {x<4}} \right.[/tex]

Therefore, the inequality is true only when x > -5 or x < 4.

(Check)

- Substitute x = -4 in the inequality.

[tex]-6<3(-4)+9<21\\-6<-12+9<21\\-6<-3<21[/tex]

The inequality is true for first case.

- Substitute x = 3 in the inequality

[tex]-6<3(3)+9<21\\-6<9+9<21\\-6<18<21[/tex]

The inequality is true for second case.

So the answer for inequality is -5 < x < 4

That means only {-4, -3, -2, ..., 3} can make the inequality true.

Answer:

59 dollars if im wrong tell me