D-2.8 divided by 0.2= -14

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

5 0

2 years ago

An insurance company issues life insurance policies in three separate categories: standard,preferred,and ultra- preferred. Of th

slega [8]

Answer:

a) 0.0002

b) 0.0057

c) 0.0364

Step-by-step explanation:

Lets start by stating the probabilities of a person belonging to each policy:

Standard: 0.3

Preferred: 0.5

Ultra- Preferred: 0.2

The probability of person belonging to each policy AND dying in the next year:

Standard: 0.3 x 0.015 = 0.0045

Preferred: 0.5 x 0.002 = 0.001

Ultra- Preferred: 0.2 x 0.001 = 0.0002

a) The probability a ultra - preferred policy holder dies in the next year is 0.001. To find the probability of a person being both a ultra - preferred policy holder AND die in the next year is: 0.001 x 0.2= 0.0002

b) The probability is given by adding the probabilities calculated before :

0.0045 + 0.001 + 0.0002 = 0.0057

c) We use the results above again. This is 0.0002 / (0.001 + 0.0045). The answer comes out to be 0.0364

6 0

3 years ago

Please help me do the equation and figure out the right solution. I am supposed to be correcting the one in the picture.

alexira [117]

Answer:

The correct answer is if you want no roots in the denominator, the correct answer is $\frac{2x}{y}$ * $\sqrt[3]{2y^{2} }$

Step-by-step explanation:

The mistake is that you can't take a cube root of a square at step 3 when $y^{2}$ is taken out.

5 0

1 year ago

Jenna was 4 4/6 feet tall last year. This year she is 5 2/6 feet tall. How many feet did Jenna grow in the past year

oee [108]

You want to subtract the heights. 5 2/6-4 4/6=5 1/3-4 2/3=2/3.

5 0

2 years ago

Read 2 more answers

Which set of rectangular coordinates describes the same location as the polar coordinates (6sqrt 2, 3pi/4)

Sonja [21]

Polar coordinates=<span>(6sqrt 2, 3pi/4)=(r, theta)→r=6 sqrt 2, theta=3pi/4
Rectangular coordinates=(x,y)=?

x=r cos theta=(6 sqrt 2) cos(3pi/4)=(6 sqrt 2)(-sqrt 2 / 2)
x=-3 (sqrt 2)^2=-3(2)→x=-6

y=r sin theta=(6 sqrt 2) sin (3pi/4)=(6 sqrt 2)(sqrt 2 / 2)
y=3 (sqrt 2)^2=3(2)→y=6

Rectangular coordinates of the point = (x,y) =(-6,6)

Answer: Option a. (-6,6) </span>

8 0

2 years ago