Ask question

Ask question

All categories

3 years ago

10

Ariana is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Ariana will earn

$40 every time one of her songs is played in a commercial and she will earn $110 every time one of her songs is played in a movie. Ariana earned a total of $500 in royalties on 9 commercials and movies. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Ariana's songs were played. Define the variables that you use to write the system.

1 answer:

Sloan [31]3 years ago

7 0

Answer:

Commercials x = 7

Movies y = 2

Step-by-step explanation:

Let commercials = x

Let's movies = y

$40 is for commercials

$110 is for movies.

Commercials plus movies for the Year = 9

She earned total of $500

X+ y = 9..... equation 1

40x + 110y = 500.... Equation 2

Multipling equation one by 40

40x + 40y = 360

Subtracting equation one from equation 2

70y = 140

Y = 2

If y = 2

X + y = 9

X + 2 = 9

X = 9-2

X = 7

You might be interested in

assume x and y are both differentiable functions of t. find dx/dt given x=-1 and dy/dt=8 for the relation: 4x^2+3y^3=28

melomori [17]

Given:

x and y are both differentiable functions of t.

$4x^2+3y^3=28$

$x=-1\text{ and }\dfrac{dy}{dt}=8$

To find:

The value of $\dfrac{dx}{dt}$ .

Solution:

We have,

$4x^2+3y^3=28$ ...(i)

At x=-1,

$4(-1)^2+3y^3=28$

$4+3y^3=28$

$3y^3=28-4$

$3y^3=24$

Divide both sides by 3.

$y^3=8$

Taking cube root on both sides.

$y=2$

So, y=2 at x=-1.

Differentiate (i) with respect to t.

$4(2x\dfrac{dx}{dt})+3(3y^2\dfrac{dy}{dt})=0$

Putting x=-1, y=2 and $\dfrac{dy}{dt}=8$ , we get

$4(2(-1)\dfrac{dx}{dt})+3(3(2)^28)=0$

$-8\dfrac{dx}{dt}+9(4)(8)=0$

$-8(\dfrac{dx}{dt}-9(4))=0$

Divide both sides by -8.

$\dfrac{dx}{dt}-36=0$

$\dfrac{dx}{dt}=36$

Therefore, the value of $4x^2+3y^3=28$ is 36.

6 0

3 years ago

What is the answer to -3 + (-12)=

iragen [17]

Answer:

-15

Step-by-step explanation:

when adding two negative numbers, just add like normal and put a negative sign.

4 0

3 years ago

Read 2 more answers

Polygon ABCD is dilated by a scale factor of 2 with the center of dilation at the origin to create A'B'C'D'. If the endpoints of

Sonja [21]

The distance formula is given by $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Take point A(0, -7) as (x₁, x₂) and point B(8, 8) as (y₁, y₂)

Distance AB = $\sqrt{(8-0)^2+(8--7)^2}$
Distance AB = $\sqrt{8^2+15^2}$
Distance AB = $\sqrt{289}$
Distance AB = 17

The line AB is dilated to A'B' by scale factor of 2, it means the length of the line is multiplied by 2

Distance A'B' = 2 × 17 = 34 units

5 0

3 years ago

four friends want to play a game. in how many ways can the friends from teams, if both team dont have name

SVETLANKA909090 [29]

Answer:

So I’m guessing you want either how to get a name or name ideas?

Step-by-step explanation:

1. Compare the friend’s favorite things and lump them together (lets say one likes ballet and another likes swans so the name would be the Graceful Swans)

2.Pick a name that describes what you like about your friendship (lets say they like the love that the friends give to one another so lets say Loving Friends)

NAME IDEAS

Hunting Pack

Graceful Swans

Cloudy Skies

DREAM TEAM

Windy days

IF YOU WANT TO DIVIDE THE FRIENDS THEN THERE WOULD BE TWO FRIENDS ON EACH TEAM

Hope this helped

Plz mark Brainliest

Dont forget to smash that heart at the bottom <3

Have a great day!

7 0

3 years ago

What is 35' 6" − 13' 8" using the "Same Difference Theorem"?

jonny [76]

Calculate minutes ( the numbers with ' ) with minutes and the seconds (") with seconds

5 0

3 years ago

Read 2 more answers