Emily is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Emily will earn $50 every time one of her songs is played in a commercial and she will earn $150 every time one of her songs is played in a movie. Emily's songs were played on 3 times as many commercials as movies and her total earnings on the royalties from all commercials and movies were $600. Graphically solve a system of equations in order to determine the number of commercials, x,x, and the number of movies, y,y, on which Emily's songs were played.

Answers

Answer 1

Answer:

(6,2)

Step-by-step explanation:

Variable Definitions:

​x= the number of commercials

y= the number of movies

Each commercial earns Emily $50, so x commercials would earn her 50x dollars in royalties. Each movie earns Emily $150, so y movies would earn her 150y dollars in royalties. Therefore, the total royalties 50x+150y equals $600:

50x+150y=600

Since Emily's songs were played on 3 times as many commercials as movies, if we multiply 3 by the number of movies, we will get the number of commercials, meaning x equals 3y.

x=3y

Write System of Equations:

​50x+150y=600

x=3y

Solve for y in each equation:

1)  50x+150y=600

   150y=−50x+600

   y=-1/3x+4

2)  x=3y

    y=1/3x

The x variable represents the number of commercials and the yy variable represents the number of movies. Since the lines intersect at the point (6,2) we can say:

Emily's songs were played on 6 commercials and 2 movies.

 


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Step-by-step explanation:

which statement is false? NO LINKS AND NO BLANK ANSWERS
A) all squares are rectangles.
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Answer:

C because not all rhombuses are squares

Sophie runs 4 1/2 miles on Saturday. Aubrey jogs 2/3 of that distance. So what is the distance Aubrey jogs in miles?

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Answer:

3

Step-by-step explanation:

The mean age of 5 people in a room is 39 years.
A person enters the room.
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Answer: Answer:the person entering the room is 10 years oldStep-by-step explanation:x / 5 = 40x = 40 * 5x = 200so the total of all the ages of 5 people

Step-by-step explanation:

Sara bought shoes for $39.95 and x pairs of socks for $1.99 each. Which expression shows the total money spent?

Answers

Answer:

$39.95 + $1.99x

Step-by-step explanation:

Cost of shoes = $39.95

Cost per pair of socks = $1.99

Number of socks pairs purchased = x

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Answer:

$39.95 + $1.99x

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Six times negative three is negative eighteen and that plus four is negative 14

Can you do 0.123-0.3 PLEASE TELL ME THE ANSWER!!PLS

Answers

Answer:

hi

Step-by-step explanation:

it is -0,177

hope it helps

have a nice day

The value of expression after subtraction is,

⇒ - 0.177

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Expression is,

⇒ 0.123 - 0.3

Now, We can simplify the expression by subtracting as;

⇒ 0.123 - 0.3

⇒ - 0.177

Thus,  The value of expression after subtraction is,

⇒ - 0.177

Learn more about the subtraction visit:

https://brainly.com/question/17301989

#SPJ2

9. Given one of the root of the quadratic equation x^2 - 5kx+ k=0 is four times the other root, find the value of k

Answers

Answer:

k=1/4

Step-by-step explanation:

x² - 5kx+ k=0  ....(1)

suppose 2 roots: a and 4a

(x-a)(x-4a)=0

x² - 5ax + 4a² = 0 ....(2)

compare (1) and (2): -5a = -5k              a=k

4a² = k                4a² = a   (substitute)

a(4a-1) = 0

a = 0 or a = 1/4        (if a=0   k=0 and x=0 is not the solution)

a = 1/4      k = 1/4

(a₂ = 1/4 * 4 = 1)

Answer:

k = 1/4.

Step-by-step explanation:

Let the roots be  r and 4r   and using the fact that sum of the roots = -b/a and product = a/c, we have:

r + 4r = -(-5k)

r*4r = k

5r = 5k

4r^2 = k

From the 3rd equation:

r = k, therefore:

4k^2 = k

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k = 1/4.

help will mark brainliest

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Answer:

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Step-by-step explanation:

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Yes the blue square, the other shapes do not have a 90 degree angle, they are less than 90 degrees.

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3.5x^2+7x-1
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

help needed asap will give brainliest (#^.^#)

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Answer:

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Step-by-step explanation:

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The drop that rider's experience on Dr. Doom's Free Fall can be modeled by the quadratic function LaTeX: h\left(t\right)=-9.8t^2-5t+39h ( t ) = − 9.8 t 2 − 5 t + 39 where h is height in meters and t in time in seconds. What is the starting height of the riders?

Answers

Answer:

The starting height of the raiders is 39 meters.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Each problem can be solved by just adding the areas of the individual simple shapes such as triangle and parallelogram.

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In triangle ABC , Sin angle B=14/17 . The hypotenuse of triangle ABC
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Step-by-step explanation:

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6 Final Answer

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8 Final Answer

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Answers

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Step-by-step explanation:

x intercept y=0

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y intercept x=0

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6(0) + y = 4

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Answers

Answer:

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Step-by-step explanation:

6 x 2 / 3

= ( 6 x 2 ) / 3

= 12 / 3

= 12 x 1 / 3

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Karen wants to buy 5 pounds of baby carrots. The packages of carrots each weigh
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show step by step in a 5th graders level

Answers

5 lbs is 80 ounces

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Answer:

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Step-by-step explanation:

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Answers

Answer:

Marketing helps producers to decide what products to produce and when to produce them. Marketing also helps consumers by letting them know what products are available at what price. When done well, it leads to greater satisfaction for consumers and higher profits for producers.

Step-by-step explanation:

hope this helps!

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Please please please help me I really need help if you don’t know the answer move along

Find the solution to the following system. Explain how you got your
answer, step-by-step.

3x + 4y = 36
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Answers

Answer:

(x,y)=(4,6)

Step-by-step explanation:

3x+4y=36

y=-1/2 x+8

step 1: substitute the value of y

[tex]3x+4(-\frac{1}{2}x+8)=36[/tex]

step 2: solve equation for x

[tex]3x+4(-\frac{1}{2}x+8)=36[/tex]

3x-2x+32=36

x+32=36

x=36-32

x=4

step 3: substitute the value of x

[tex]y=-\frac{1}{2} (4)+8[/tex]

Step 4: solve equation for y

[tex]y=-\frac{1}{2} (4)+8[/tex]

y=-2+8

y=6

there for the answer is

(x,y)=(4,6)

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