Tickets for a school play cost $4 for adults and $2 per students. At the endof the play,the school sold 105 tickets and collected $360. -write a linear system that models the situation.
-find the number of adult and students tickets sold.

Answers

Answer 1
Answer: 4x+2y=360
x+y=  105 => 4x+4y= 4*105= 420
                    4x+2y =360
-----------------------------------------
                    4y-2y = 420-360= 60
                     2y   = 60    => y= 60:2=30 => x= 105-30=75
Verify 4*75+2*30= 300 + 60 = 360
Answer 2
Answer: First set your variables: let x be the number of adult tickets and let y be the number of student tickets. Now when you write 4x it will say how much money came from adult tickets, and 2y will do the same for students. 4x+2y= the amount of money collected.
4x+2y=360
Solve the above equation for x and y and that will give you the number of tickets sold.

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Given the roll of paper towels below how much plastic would be needed to cover the role so it can be sold given the diameter of the role is 10 inches and the height is 13 inches

Answers

Answer:

Amount of plastic need to cover paper role = 565.2 inches

Step-by-step explanation:

Given:

Diameter of paper role = 10 inch

Height of paper role = 13 inch

Find:

Amount of plastic need to cover paper role

Computation:

Radius of paper role = Diameter of paper role / 2

Radius of paper role = 10 / 2

Radius of paper role = 5 inch

Amount of plastic need to cover paper role = Total surface area of cylinder

Amount of plastic need to cover paper role = 2πr(h+r)

Amount of plastic need to cover paper role = 2(3.14)(5)(13+5)

Amount of plastic need to cover paper role = (3.14)(10)(18)

Amount of plastic need to cover paper role = 565.2 inches

Is -55.505 a rational number?

Answers

Answer:

yes

Step-by-step explanation:

Any number that can be written in p/q from is a rational number

The measure of the angle of hands of a clock at 8:00

Answers

It would be around 120 degrees.

HELP ASAP!! PLEASE AND THANK YOU!!!!Given ABCDE ~ LMNOP and CD = 16, DE = 18, and NO = 12, what is OP?

Answers

ABCDE and LMNOP are similar.
This means that each corresponding side scales by the same amount from one to the other.

AB scales to LM just as BC does to MN...

and CD to NO just as DE does to OP!

Now, let's make a proportion.

NO/CD = OP/DE

12/16 = OP/18

Simplify...

3/4 = OP/18

13.5 = OP

Alison is saving for retirement. Her company matches what she puts into her 401K in a ratio of 2:3. If she puts in $400 each month, how much in total is put into her 401k each month?A) $200
B) $800
C) $600
D) $1,000

Answers

Answer:

D) $1000

Step-by-step explanation:

Her company is using a ratio of 2:3 of what she is putting into her account. That means that for every two dollars that she puts into her 401K , the put in three dollars.

Therefore, if she puts away $400 each month:

2 : 3

400 : 600

Her company will pay $600 into her 401K.

That gives her a total of:

400 + 600 = $1000

id say B...............

Which of the following points lie in the solution set to the following system of inequalities?y < −3x + 3
y < x + 2
(1, −5)
(1, 5)
(5, 1)
(−1, 5)

Answers

Answer with Step-by-step explanation:

We have to find the points which lie in the solution set of the following system of inequalities:

y < −3x + 3

y < x + 2

(1, −5)

when x=1

y < −3x + 3⇒ y<0

y < x + 2⇒ y<3

and y= -5 satisfies the above inequalities

So, it lies in the solution set

(1, 5)

when x=1

y < −3x + 3⇒ y<0

y < x + 2⇒ y<3

and y= 5 does not satisfy the above inequalities

So, it does not lie in the solution set

(5, 1)

when x=5

y < −3x + 3⇒ y< -12

y < x + 2⇒ y<7

and y= 1 does not satisfy the above inequalities

So, it does not lie in the solution set

(−1, 5)

when x= -1

y < −3x + 3⇒ y<6

y < x + 2⇒ y<1

and y= 5 does not satisfy the above inequalities

So, it does not lie in the solution set

Hence, Correct answer is:

(1,-5)

(1,-5) would be the answer. I used a graphing calculator to solve this. I plugged in the equation and looked at the intersection of the 2 graphs. Hope this helps.