Analyze the diagram below and complete the instructions that follow.

Jace is a songwriter who collects royalties in his songs whenever they are played in a commercial or a movie. Jace will earn $50

VashaNatasha [74]

Jace's song were played on 8 commercials and 2 movies

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

<em>Elimination Method</em>
<em>Substitution Method</em>
<em>Graph Method</em>

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

<em>Number of Commercials = C</em>

<em>Number of Movies = M</em>

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<em>Jaces songs were played on 6 more commercials than movies.</em>

$\boxed{C = 6 + M}$ → <em>Equation 1</em>

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<em>Jace will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie.</em>

<em>His total earnings in the royalties from all commercials and movies was $680.</em>

$\boxed{50C + 140M = 680}$ → <em>Equation 2</em>

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<em>Equation 1 ↔ Equation 2 :</em>

$50C + 140M = 680$

$50 ( 6 + M ) + 140M = 680$

$300 + 50M + 140M = 680$

$190M = 680 - 300$

$190M = 380$

$M = 380 \div 190$

$M = 2$

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$C = 6 + M$

$C = 6 + 2$

$C = 8$

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<h2>Conclusion:</h2>

The number of commercials and the number of movies in which Jaces songs where played is respectively 8 and 2

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<h3>Learn more</h3>

Perimeter of Rectangle : brainly.com/question/12826246
Elimination Method : brainly.com/question/11233927
Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

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3 years ago

Which shape has no parallel sides?<br> rectangle<br> trapezoid<br> square<br> triangle

nadezda [96]

Answer:

Triangle

Step-by-step explanation:

all of them have parallel sides except triangle

5 0

3 years ago

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A tennis racket at at sport city costs $180 and is discounted 15% the same model racket costs$200 at tennis world and is on sale

MaRussiya [10]

Mate, stop repeating questions, wait until your question has been answered.

15% of 180 is (180 * 0.15) = 27.

180 - 27 = $153 paid.

20% of 200 = (200 * 0.2) = 40.

200 - 40 = $160 paid.

Therefore Sport City offered the better deal.

4 0

3 years ago

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| the British 50-pence coin shown on the right is in the shape of a

Sergio [31]

For a regular polygon with n sides, interior angle

= [(n-2) × 180°]/n

So, interior angle of this regular heptagon shape

= [(7 - 2) × 180°]/7

= (5 × 180°)/7

= 900°/7

= (900/7)°

= 128.571° [approximately]

7 0

3 years ago

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Clara is building a triangular garden. She wants the length of the longest side to be three more than twice as long as the lengt

nlexa [21]

The simplified expression would be 3s + 15.

In order to find this we need to write an equation for the longest side. Since it's 3 more than twice as much as the smallest side (s), we can express it as 2s + 3. Now we simply add all 3 together and simplify.

2s + 3 + 12 + s -----> simplify

3s + 15

8 0

3 years ago