Ask question

Ask question

All categories

3 years ago

5

You and your friends are going to the movies, and you plan to buy tickets for your friends because there is a discount

1 answer:

LekaFEV [45]3 years ago

4 0

Answer:

y = 9.50 + 6.00n

Step-by-step explanation:

This equation shows that the base rice that you must pay is $9.50 (the cost of your ticket). $6.00n represents the cost of however many additional tickets you purchase for n friends. Say 3 friends decide to come, your n value is 3.

You would need to do the following to determine the price you need to pay for 3 friends:

6.00(3) = 18.00 (this is how much you'd pay for 3 friends)

You must add your ticket price to $18.00 to find y (the total amount you must pay for yourself and your 3 friends). So you must do the following:

y = 9.50 + 6.00(3)

y = 9.50 + 18.00

y = 27.50 (this is the total price you'll pay for everyone attending

Hope this helps :)

You might be interested in

NEED HELP ON MATH ASAP

RSB [31]

I think it’s A but I’m not sure

7 0

3 years ago

15. If x=a Sin2t (I+Cos2t) and y=b Cos 2t (1-Cos2t) then find<br>dy/dx at =22/7*4<br>

Sav [38]

By the chain rule,

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm dt}\dfrac{\mathrm dt}{\mathrm dx}\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm dt}}{\frac{\mathrm dx}{\mathrm dt}}$

It looks like we're given

$\begin{cases}x=a\sin(2t)(1+\cos(2t))\\y=b\cos(2t)(1-\cos(2t))\end{cases}$

where <em>a</em> and <em>b</em> are presumably constant.

Recall that

$\cos^2t=\dfrac{1+\cos(2t)}2$

$\sin^2t=\dfrac{1-\cos(2t)}2$

so that

$\begin{cases}x=2a\sin(2t)\cos^2t\\y=2b\cos(2t)\sin^2t\end{cases}$

Then we have

$\dfrac{\mathrm dx}{\mathrm dt}=4a\cos(2t)\cos^2t-4a\sin(2t)\cos t\sin t$

$\dfrac{\mathrm dy}{\mathrm dt}=-4b\sin(2t)\sin^2t+4b\cos(2t)\sin t\cos t$

$\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4b\cos(2t)\sin t\cos t-4b\sin(2t)\sin^2}{4a\cos(2t)\cos^2t-4a\sin(2t)\cos t\sin t}$

$\implies\boxed{\dfrac{\mathrm dy}{\mathrm dx}=\dfrac ba\tan t}$

where the last reduction follows from dividing through everything by $\cos(2t)\cos^2t$ and simplifying.

I'm not sure at which point you're supposed to evaluate the derivative (22/7*4, as in 88/7? or something else?), so I'll leave that to you.

8 0

3 years ago

Solve the system of equations 4x+5y=-1 and -5x-8y=10 by combining the equations.

Nimfa-mama [501]

The solution of the equation are as follows:

x = 6 and y = -5

<h3 />

<h3>How to solve the system of equation?</h3>

4x + 5y = -1

-5x - 8y = 10

Therefore,

20x + 25y = -5

-20x - 32y = 40

-7y = 35

y = -5

Hence,

4x + 5(-5) = -1

4x - 25 = -1

4x = -1 + 25

4x = 24

x = 24 / 4

x = 6

learn more on equation here:brainly.com/question/14383993

#SPJ1

6 0

1 year ago

You mow 3 lawns in 5 hours. How long will it take to mow 9 lawns? Explain your thinking

Korolek [52]

It will take 15 hours to mow 9 lawns

5 0

2 years ago

You are traveling to Japan and need Japanese Yen (JPY). How much JPY could you get for $100 USD if the exchange rate is USD/JPY

Vanyuwa [196]

Answer:

107.15

Step-by-step explanation:

100/.9333=107.15

3 0

3 years ago

Read 2 more answers