Find the nth term for the sequence 8, 14, 20, 26

PLEASE HELPPPPPP. I NEED IT DONEEEEE.

agasfer [191]

Answer:

1. Couples tickets: $8

Individual tickets: $4

2. Song download cost: $2

Movie download cost: $15

Step-by-step explanation:

You can solve both of these questions by doing system of equations.

Let's start with question 1.

There are 2 variables in this equation:

- Couples tickets price: let's represent these with the letter C

- Individual tickets price: let's represent these with the letter K

Writing the two equations would look this these:

5c + 2k = 48

3c + 2k = 32

Next, isolate a variable. I am going to isolate K in the first equation.

$2k = -5c + 48 \\k = -\frac{5}{2}c + 24$

Now that we isolated a variable we can plug that back in to the second equation:

$3c + 2(-\frac{5}{2}c + 24) = 32\\3c - \frac{10}{2}c + 48 = 32\\3c -5c + 48 = 32\\-2c + 48 = 32\\-2c = -16\\c = 8$

We found that c is equal to 8 so we can put that back in to an equation to solve for k.

5(8) + 2k = 48

40 + 2k = 48

2k = 8

k = 4

Therefore, the price for couples tickets is $8 and the price for individual tickets is $4.

Check #1:

5(8) + 2(4) = 48

40 + 8 = 48

48 = 48

3(8) + 2(4) = 32

24 + 8 = 32

32 + 32

Now, let's go on to question 2.

There are 2 variables in this equation:

- Price of songs downloaded: let's represent these with S

- Price of movies downloaded: let's represent these with M

Writing the two equations would look like this:

15s + 11m = 195

15s + 8m = 150

There is a simple way to answer this system, however.

If you change the bottom equations signs to negative you can minus the second equation from the first equation like this:

15s + 11m = 195

-(15s +8m = 150)

Minus them to get this equation:

3m = 45

Solve

m = 15

We have found that each movie download costs $15, now let's plug this back into an equation:

15s + 11(15) = 195

15s + 165 = 195

15s = 30

s = 2

Each song costs $2 to download.

Check #2:

15(2) + 11(15) = 195

30 + 165 = 195

195 = 195

15(2) + 8(15) = 150

30 + 120 = 150

150 = 150

I hope this helps!!

- Kay :)

6 0

3 years ago

Simplify to create an equivalent expression. 2−4(5p+1)

makvit [3.9K]

Answer:

-2-20p OR -20p-2

Step-by-step explanation:

2-4(5p+1)

Rewrite (the spaces can help me to view the different parts):

2 -4(5p + 1)

Distribute:

2 -20p -4

Combine like terms:

-2-20p

Answer:

-2-20p OR -20p-2

3 0

3 years ago

Read 2 more answers

Nicole rented a bike from Krystal's Bikes. It costs $15 plus $7 per hour. If Nicole paid $43, then she rented the bike for how m

murzikaleks [220]

Given that Nicole rented a bike from Krystal's Bikes, the number of hours is

4 hours

Given data

Initial Cost = $15

Cost per extra hours = $7

Amount Paid = $43

The Expression that we will use to describe this situation is modelled below

let y = Amount paid

m = cost per extra hour

x = the number of hours

c = the initial cost

y = mx + c -------- Equation of line

43 = 7*x + 15

43 = 7x+15

7x = 43-15

7x = 28

divide both sides by 7

x= 28/7

x= 4 hours

Hence the number of hours is 4 hours

Learn more about straight line equation here:

brainly.com/question/19380936

6 0

2 years ago

PLEASE HELP!!

insens350 [35]

Answer:
(x+3), (x-3), and (x+4)

I’m not so sure about the question but I hope this helps

4 0

3 years ago

The ac is a leg of the right triangle True False

Vinil7 [7]

Answer:

False

Step-by-step:

The hypotenuse of the triangle is the side opposite to the right angle. The legs are the other two sides of the triangle. Since AC is on the opposite side of the right angle, it is the hypotenuse and therefore not a leg. Hope this helps!

3 0

4 years ago