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2 years ago

Simplify each expression using the order of operations 6 + 4/a + b/3 when a = 4 and b = 3

1 answer:

4 0

6+4/4 + 3/3 (substitute variables)
10/4 + 3/3 (add 6+4)
5/2 + 1 (Simplify fractions)
2 1/2 + 1 (Write improper fraction as proper fraction)
3 1/2 (add)

Answer: 3 1/2 (three and a half)

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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

Matt gets paid an hourly rate of $12.50 for the first 40 hours he works in a week. After 40 hours , Matt gets paid at an overtim

lukranit [14]

12.50 x 40 = 500; this is his first week pay from $12.50 an hour for 40 hours

(15 x 55) + 100 = 925; this is the second pay from $15 an hour for 55 hours and an additional $100

Hope this helps! (If not correct me if its wrong xd)

5 0

2 years ago

The perimeter of a rectangle is 8x-6 units. of the width is x-4 units , what is the length, in units, of the rectangle

Fed [463]

Answer:

Step-by-step explanation:

Hope this helped! Please tell me if I'm wrong!

3 0

2 years ago

I got 67, is it right? Solve for angle A of the right triangle

Lina20 [59]

I think it would be 37 hope this helps:)

8 0

2 years ago

Find d<br><br> a * a * a = 216<br> a * b * c = 96<br> b * c = 52<br> a + b + c = d

Slav-nsk [51]

$a\cdot a\cdot a=216\\\\a^3=216\to a=\sqrt[3]{216}\\\\\boxed{a=6}\\\\\text{Substitute}\ b\cdot c=52\ \text{to the second expression}\ a\cdot b\cdot c=96:\\\\abc96\ \wedge\ bc=52\to a(52)=96\qquad\text{divide both sides by 52}\\\\a=\dfrac{96}{52}\to a=\dfrac{24}{13}\neq6$

a = 6 and a = 24/13 FALSE!!!

<h3>Answer: NO SOLUTION.</h3>

3 0

3 years ago