Adrian is a songwriter who collects royalties on his songs whenever they are played in a commercial or movie. Adrian will earn $40 every time one of his songs is played in a commercial and $130 every time one of his songs is played in a movie. Adrian earned a total of $1010 in royalties on 14 commercials 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 Adrian's songs were played. Define the variables that you used to write the system.

Answers

Answer 1

Answer:

commercial =  9

movie = 5

Step-by-step explanation:

Step one:

let the number of commercials be x and movies be y

so

40x+130y=1010-------------1

since there are a total of 14 commercials and movies combined

x+y=14--------------2

Hence the systems of equation is

40x+130y=1010------1

x+y=14-------------------2

Step two:

from equation 2

x=14-y

substui]te the value of x in  equation 1

40(14-y)+130y=1010

560-40y+130y=1010

collect like terms

130y-40y=1010-560

90y=450

divide both sides by 90

y=450/90

y=5

movies is 90

put y=5 in equation 2

x+5=14

x=14-5

x= 9

commercial is 9 in numbers

and movie is 5

Answer 2

Answer:

40c+130m=1010

c+m=14

Step-by-step explanation:

Let c=the number of commercials

Let m=the number of movies

system of equations:

40c+130m=1010

c+m=14


Related Questions

A rectangle's one side is 7 inches shorter than four times it's other side. The perimeter is 180 inches. What are the sides? Please explain with steps and if your can tell me why I keep getting 19.4.

Answers

Answer:

Step-by-step explanation:

we call one side x and the other side 4x-7. Because in a rectangle opposite sides are equal we can now set up an equation.

x + x + 4x-7 +4x-7 = 180

              10x - 14 = 180

                   10x = 194

                    x = 19.4

the lenght of the other side is 4(19.4)-7 = 70.6

6 - (-7) =
Subtract integers using inverse property.

Answers

Answer:

13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

6-(-7)=

6+7

=13

HELP ASAP PLEASE, APPARENTLY MY ANSWER IS WRONG​

Answers

Answer:

[-5,-13]

Step-by-step explanation:

To solve this, start by getting rid of the -1 by adding 1 to 8 now you're left with:

|x - 4| ≤ 9 now you will solve this like a regular absolute value inequality

Because the equation withing the absolute value signs can be negative, you will solve this equation twice, once with a negative answer, and the next time, with a positive answer. However, in order to get a negative answer the sign ≤ needs to be flipped. Now we can solve.

Equation 1:

x - 4 ≤ 9 add 4 to -4 so it cancels out, then add it to 9

x ≤ 13

Equation 2:

x - 4 ≥ -9 add 4 to -4 so it cancels out, then add it to -9

x ≥ -5

Both of these equations can be simplified and turned into one compound inequality:

-5 ≤ x ≤ 13

In interval notation, this would be written as:

[-5,13]

According to the synthetic division below, which of the following statements are true? Check all that apply. ​

Answers

Answer: d, f

explanation:

(n + 3) ÷ 5 = 3?
HELP

Answers

Answer:

n = 12

Step-by-step explanation:

Rewrite it as [tex]\frac{(n+3)}{5} = 3[/tex]

Multiply both sides by 5

(n+3) = 15

You can drop the parenthesis now.

n + 3 = 15

n = 12

Answer:

12/5

Step-by-step explanation: 12/5 + 3 ÷ 5 = 3


Write an equation in slope-intercept
form for the line with slope -1/2
and y-intercept 9.

Answers

[tex]y = - \frac{1}{2} x + 9[/tex]

since the slope-intercept equation is y=mx+b

m represents the slope

b represents the y-intercept

what is the nth term rule of the quadratic sequence 8,16,26,38,52,68,86

Answers

bhdjejjdjdbbdhdhdbhdjdjjdjdj of ocd and the other is a great way of keeping it with the fam of friends and friends who have been playing for a task and the same time I am watching it for a couple of weeks to see what it happen with my first day of sex and it wasn’t really cool for the one to go to the bathroom and I was like I was eating

what formulas can be used to find a triangular prism

Answers

the formula to find a triangular prism is V = 0.5 X b X a X h

What is the minimum value for the function shown in the graph?

(I need this as soon as possible, ty!)

Answers

Answer:

if they answered U tell me plz ...

Answer:

-6

Step-by-step explanation:

look at the graph

A line intersects the points (-1, -2) and (3, 0).
The slope of the line is 1/2.
If we choose to use the point (3,0), what
are the inputs for the point-slope formula?
y - [?] = [](x-[ 1)
A. -1
B. 1/2
C. 3
D. 0

Answers

Answer:

the answer is for the question is 0

Answer:

I am guessing the question needed to be solved is the one in the green box if so, the answer is 0

Step-by-step explanation:

The coordinates being used are (3,0). 3 being the x and 0 being the y. For the green box, it is y-0 because we substitute it with the 0.

On the coordinate plane shown, Figure 1 is transformed into Figure 2, which is transformed into Figure3. Figure 1 and Figure 3 are similar by a sequence of transformations. What type of transformation was used to transform Figure 1 into Figure 2?

Answers

Answer:

rotation

Step-by-step explanation:

The transformation used to transform figure 1 into figure 2 is a dilation.

What is dilation?

A dilation is a transformation that yields a picture that differs in size while maintaining the original image's shape.

Given that, figure 1 is transformed into figure 2, and figure 2 is transformed into figure 3 which s similar to figure 1.

Since figure 1 is similar to figure 3, as per the transitivity property, figure 1 is similar to figure 2.

Since figure 1 is similar to figure 2, the ratio of their side lengths is proportional.

Since the ratio of the side lengths of the two figures is proportional, the transformation is a dilation.

Hence, the transformation used to transform figure 1 into figure 2 is a dilation.

Learn more about the dilation:

https://brainly.com/question/13176891

#SPJ5

PLEASE HELP!!! I do not understand!!!

Answers

Answer:

110 + 5x (I'm not sure if you need the dollar signs...if you do, one goes in front of the 110 and one goes in front of the 5)

Step-by-step explanation:

$20 + $90 = $110

Equation:

110 + 5x

110 represents the base cost of the turtle and the terrarium.

5 represents the cost of the turtle food

x represents the number of weeks that she is purchasing the food.

solve 413 ÷ 19 with a remainder

Answers

Answer:

"-7847 that is what I got

Answer:

21 R14

Step-by-step explanation:

413 / 19 = 21.736

19 x 21 = 399

413 - 399 = 14 as the remainder

Marti, Joel, and Oscar each ate 325
calories at lunch each day for 18 days.
About how many calories did they
eat in all?

Answers

Answer:

5850 calories

Step-by-step explanation:

Answer:

They ate 17,550 calories in all

Step-by-step explanation:

325 x 3 = 975 calories for the three people in all for one day

975 x 18 = 17,550 calories in all

2.) Helen is considering two different moving services. Service A charges a $15 monthly fee for unlimited streaming of movies and $2.50 per DVD rental. Service B charges a $12 monthly fee for unlimited streaming of movies and $3.50 per DVD rental. The system of equations below describes the relationship between the number of DVDs rented per month (x) and the monthly cost (y), in dollars for both services.
y = 15.00 + 2.50x AND y = 12.00 + 3.50x Which statement about the costs of the movie services is true?
A. When Helen rents fewer than 3 DVD's per month, service A will cost less per month than service B will cost.
B. When Helen rents more than 3 DVDs per month, service B will $12 more per month than service A will cost.
C. When Helen rents 3 DVDs per month, either service will cost her $22.50 per month. D. When Helen rents 6 DVDs per month, either service will cost her $27.00 per month.

Answers

Answer:

C. When Helen rents 3 DVDs per month, either service will cost her $22.50 per month.

Step-by-step explanation:

y = 15.00 + 2.50x

y = 12.00 + 3.50x

When x = 2

y = 15.00 + 2.50x

= 15.00 + 2.50(2)

= 15.00 + 5.00

= 20.000

y = 12.00 + 3.50x

= 12.00 + 3.50(2)

= 12.00 + 7.00

= 20.00

When x= 4

y = 15.00 + 2.50x

=15.00 + 2.50(4)

= 15.00 + 10.00

= 25.00

y = 12.00 + 3.50x

= 12.00 + 3.50(4)

= 12.00 + 14.00

=26.00

When x = 3

y = 15.00 + 2.50x

= 15.00 + 2.50(3)

= 15.00 + 7.50

= 22.50

y = 12.00 + 3.50x

= 12.00 + 3.50(3)

= 12.00 + 10.50

= 22.50

When x = 6

y = 15.00 + 2.50x

= 15.00 + 2.50(6)

= 15.00 + 15.00

= 30.00

y = 12.00 + 3.50x

= 12.00 + 3.50(6)

=12.00 + 21.00

= 33.00

The correct answer:

C. When Helen rents 3 DVDs per month, either service will cost her $22.50 per month.

if you have 13 tbsp of honey how much do you need of flour

Answers

Answer:

hi

Step-by-step explanation:

20

Answer:

20................................

Write an equation in point-slope form for each line.

questions 40 and 42.

20 points!!!!

Answers

Answer:

40) y=2x+1

42) y=-4/3x-2

Step-by-step explanation:

I’ll mark brainliest please help !

Answers

Answer:

$18.70

Step-by-step explanation:

Find the mean 78 77 76 75 74

Answers

Answer:

76

Step-by-step explanation:

(78+77+76+75+74)/5=x

x=76.

So the mean is 76.

Hope this helps plz hit the crown :D

A 245 inch board is cut into two pieces. One piece is four times the length of the other one. Find the length of the shorter piece

Answers

Answer:

30.625

Explanation:

Hope this helps.

Which equation below represents a proportional relationship?



a. y = 5x – 9

b. y = 2x + 7

c. y = 8x

d. y = 3x – 2

Answers

Answer:

c.

Step-by-step explanation:

when an equation doesn't have a y-intercept. That means it is proportional.

A teacher graded s 27 tests in 3 hours. Do these quantities(number of tests graded in time) vary directly or inversely? Explain.

Answers

Answer:

directly

Step-by-step explanation:

PLEASE HELPPPP I BEG YOUU!!!! IT IS ALGEBRA 1

Answers

Answer:

wag umasa sa brainy

Step-by-step explanation:

dahil sa brainy nagiging tamad Ang tao

kailangan ikaw Ang mag sagot

suppose that x and y vary inversely and x=1 when y=6. write a function that models the inverse variation. graph the function and find y when x=10

Answers

Answer:

Required Answer:-Table:-

[tex]\boxed{\begin{array}{c|c|c|}x & 1 & 10 \\ y & 6 & ?\end{array}}[/tex]

Now come to formula

[tex]\sf x \propto y [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x_1 y_2=x_2 y_1[/tex]

Substitute the values

[tex]{:}\longrightarrow[/tex][tex]\sf 1×y_2=10\times6 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y_2={\dfrac {10\times6}{1}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y_2=60 [/tex]

[tex]\therefore[/tex][tex]{\underline{\boxed{\bf y_2=60}}}[/tex]

2(3a + 6) = 4(a - 2)

Answers

Answer:

a = -10

Step-by-step explanation:

Answer:

(2*3a+6*2)=(4*a-4*2)

(6a+12)=(4a-8)

(6a-4a)=(12+8)

(2a)=(20)

a=20/2=10

Darius can buy two heads of cabbage for $1.80. How many heads of cabbage can he buy if he has $28.80?

Answers


28.80 / 1.80=16
therefore, Darius can buy 16 cabbage heads for his $28.80

Answer:

Darius can buy 16 heads of cabbage

Step-by-step explanation:

28.80 divided by 1.80 is equal to 16.

On a hike, each hiker carries the items shown (down below says what items and its weight). Write and interpret an expression in simplest form that represents that weight (in pounds) carried by x hikers,

3.4 lb sleeping bag,
4.6 lb backpack,
2.2 lb water bottle.

Expression: _____
The weight carried by each hiker is ______ pounds.

Answers

Answer:

The wording of this question is vague.  Are the numbers 3.4, 2.2, and 4.6 the weights in pounds (lbs) of the individual items carried by each hiker?  I will assume that each of x hikers carries 3 items of weights 3.4, 2.2, and 4.6 lbs, and I will assume that you seek the total weight W carried by the group of x hikers.

W = (number of hikers)(pounds carried by each hiker) = x(3.4 + 2.2 + 4.6) lbs.

There is not much more i can tell you without additional information or clarification.

Step-by-step explanation:

in which quadrant is the point (-2,3) located

Answers

Answer:

It is in the seocnd quadrant

Step-by-step explanation:

Because if you look on a graph you'll see that if you go to -2 on the x axis and then 3 on the y axis and count the quadrants it's in the second one.

Answer:

It lies on the 2nd quadrant.

Step-by-step explanation:

because in 1st quad elements having (+,+)are kept

2nd quad elements have(-,+)

3rd quad elements have (-,-)

4th quad elements have (+,-)

A theater rents their space for $650 per night.
The renters are willing to contribute $200 but need
to make the rest in ticket sales. If the renters
charge $8 per ticket, then what is the least number
of tickets that must be sold in order to make a
profit?

Answers

Answer:

57 tickets

Step-by-step explanation:

This is because 650-200= 450 and 450/8 is 56.25

so round the answer up and you get 57

Answer:

(exact 56.25) rounded, more realistic 57 tickets

Step-by-step explanation:

650 total

650-200=450 this is the price removing the 200 as the starting investment.

450÷8 = 56.25 people would need to buy movie tickets.

since there can not be 0.25 of a ticket then, a rounded 57 people would have to buy tickets and they would have 456$

they only need 450 (56.25×8) so they have an extra 6 dollars to buy KitKats and candy or something.

How much should Tabitha Lange budget monthly for insurance that costs $956.89 for the entire year? *
79.74
956.89
159.48
350.40
TIMED TEST!!

Answers

$956.89 divided by 12 months = $79.74

Answer : $79.74

Answer:

$79.74

Step-by-step explanation:

$956.89 (annual cost of insurance) / 12 (months in a year) = $79.74

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