Victoria is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Victoria will earn $40 every time one of her songs is played in a commercial and she will earn $140 every time one of her songs is played in a movie. Victoria earned a total of $560 in royalties on 9 commercials and movies. 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 Victoria's songs were played.
Answers
A graph of each function is shown in the image attached below.
The number of commercials (x) is equal to 7 commercials while the number of movies (y) is equal to 2 movies.
How to write and solve the system of equations graphically?In order to graphically solve the system of equations, we would write two (2) equations that models the situation by assigning variables to the number of commercials and number of movies respectively, and then translate the word problem into algebraic equation as follows:
Let the variable V represent the number of commercials.Let the variable y represent the number of movies.Since Victoria would earn $40 every time one of her songs is played in a commercial and $140 every time one of her songs is played in a movie, an equation which models it is;
40x + 140y = 560
Additionally, Victoria earned a total of $560 in royalties on 9 commercials and movies;
x + y = 9
Next, we would use an online graphing calculator to plot the above system of equations with a point of intersection at (7, 2) as shown in the image attached below.
Read more on a graph here: brainly.com/question/4546414
#SPJ1
Related Questions
help and please explain will give brainliest
Answers
Answer:
2.83
Step-by-step explanation:
36 pi = pi×r×r×h
36=r×r×h
h= 4
36= r×r×4
8=r×r
[tex] \sqrt{8} = x[/tex]
r= 2.83
Using your linear function, find the distance traveled in 7 hours.
Answers
Answer:
Looking at graphs we count the distance at the side for every change point, imagine a distance going 10miles and then staying at 10 miles on the second hour we keep 10 miles and pick the next new number as the linear graph moves up.
We do not count any horizontal lines twice as this shows stationary journeys meaning constant time, we know time is always at the bottom of graphs and just count the points by matching each point to the distance until you get from 0-7 hrs across the graph.
We show the numbers also as they descend as this counts as positive hours too. A descent in miles is not a descend in hours so the mileage gets bigger if we are reading it left to right and slopes descend.
Step-by-step explanation:
y = 350 miles
count to see if they are more than 350miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.
y = 455 miles
count to see if they are more than 455miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.
y = 140 miles
count to see if they are more than 140miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.
y = 280 miles
count to see if they are more than 280 miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.
Alice has 60 marbles. Forty five are red and the rest are black. what is the ratio of the number of black marbles to the number is f red marbles?
Answers
Answer:
15:45 (or 15 to 45)
Step-by-step explanation:
Which table represents a linear function?
Answers
step by step explanation
Answer:
no lo se xd sorry
no la se jjgtubxdtjk
There once was a fantastic football player named Leyton Channing. People often criticized him for not being
tough. They said when he played in harsh conditions like snow or frigid temperatures, he couldn't win.
After analyzing data, however, statisticians determined that there was no association between Leyton winning
and Leyton playing in harsh conditions. The frequency table below shows data for the games that Leyton played.
Fill in the missing values from the frequency table.
Answers
Answer:
Find the missing values by using the formula:
= Row total * Column total/Grand total
Win Loss Row total
Normal Conditions 154 66 220
Harsh Conditions 14 6 20
Column Total 168 72 240
Win - Normal conditions: Loss - Normal conditions
= 220 * 168/240 = 220 * 72/240
= 154 = 66
Win - Harsh conditions Loss - Harsh conditions
= 20 * 168 / 240 = 20 * 72/240
= 14 = 6
Janet, an experienced shipping clerk, can fill a certain order in 2 hours. Tom, a new clerk, needs 3 hours to do the same job.
Working together, how long will it take them to fill the order?
Answers
Answer:
1 hour and 15 minutes.
Step-by-step explanation:
Since Janet, an experienced shipping clerk, can fill a certain order in 2 hours, while Tom, a new clerk, needs 3 hours to do the same job, to determine how long will it take them to fill the order by working together you must perform the following logical reasoning:
Each of them will do half the work, so in principle, Janet will do her work in 1 hour, while Tom will do it in 1 hour and a half. Now, the remaining half hour that Tom has more than Janet can in turn be divided in two, with which each one will do their work in 15 minutes. Thus, the order will be ready in 1 hour and 15 minutes.
A fishing store gives customers 10 new lures for every 2 fishing poles they buy. How
many lures would the store give to a customer who bought 8 fishing poles?
Answers
Answer:
40 lures
Step-by-step explanation
First, 10 for every 2 means multiplication. 2 goes into 8 4 times. 4x2=8
10 lures multiplied by 4 is 40.
I hope this helps! ツ
What is equivalent to 1/3(x9x + 12) + 4x + 6
Answers
Answer:
1/3(9x+12)+4x+6=x
We move all terms to the left:
1/3(9x+12)+4x+6-(x)=0
Domain of the equation: 3(9x+12)!=0
x∈R
We add all the numbers together, and all the variables
3x+1/3(9x+12)+6=0
We multiply all the terms by the denominator
3x*3(9x+12)+6*3(9x+12)+1=0
Wy multiply elements
9x^2(9+18x(9+1=0
Step-by-step explanation:
I need help this is a assignment question.
The length of a rectangular placemat
is 2/3 foot. If the area of the placemat
is 1/2 square foot, what is the width of
the placemat?
A. 1/3 foot
B. 1/4 foot
C. 3/4 foot
D. 4/3 foot
Answers
Answer:
c because its c its c and nothing but c
In the expression 710 , which number is the exponent?
A) 10
B) 70
C 7
D) None of the above
Answers
Answer:
A.10
Step-by-step explanation:
An exponent is a number or letter written above and to the right of a mathematical expression called the base.
x is the base and n is the exponent or power. Definition: If x is a positive number and n is its exponent, then xn means x is multiplied by itself n times.
A carpenter is building a bookcase of height h, length 2h, and width w. The bookcase has two shelves. The plywood to be used for the back costs $1.50 per square foot. The top, bottom , sides, and shelves will be made of pine costing $5 per square foot. Write an equation expressing the total cost of the materials.
Enter your answer in the form: C = ahb + chw, where a, b, c are integers.
Answers
Answer:
3h² + 35hw ;
a = 3 ; b = 2 ; c = 35
Step-by-step explanation:
Given that :
Dimension of bookcase :
Height = h ; Length = 2h ; width = w
Area of backside :
Height * length
h * 2h = 2h²
Cos of back material = $1.5 per ft²
Cost = 1.5 * 2h²
Cost = 3h²
Top and bottom :
Length * width
2h * w
Side area = 3 * h * w
Total area : Top + bottom +. Side
Total area : 2hw + 2hw + 3hw = 7hw
Pine = $5 per sq foot
Total cost = $5 * 7hw
= $35hw
Entire cost, C
3h² + 35hw
From the format :
ah^b + chw,
a = 3 ; b = 2 ; c = 35
Please help it’s urgent
Answers
Answer:
1750 sq m
Step-by-step explanation:
100 x 85 = 8500 and 90 x 75 = 6750, so take away 6750 from 8500, 8500 - 6750 = 1750 sq m
HALP!! DUE IN 10 MINUTES!!
Find k if the line y = kx-5 passes through the point (-6,14)
Answers
Answer:
-3 1/6
Step-by-step explanation:
14 = -6k - 5
6k = -19
k = -19/6 = -3 1/6
Fill in the measures of the following angles and side lengths. All answers will be numbers.
Answers
Answer:
Step-by-step explanation:
BED=52
BAC=43
B=180-43-52=85
DE/8=15/12, DE=10
BC/15=9/10, BC=13.5
(9+EC)/15=9/10, 9+EC=13.5, EC=4.5
BD/10=12/15, BD=8
at a garage sale a large bin full of DVDs and CDs are being sold.all the DVDs and all the CDs are the same price. Aaliyah bought two DVDs for six dollars and the four CDs for eight dollars. Her friend lynn wants to buy four DVDs and two CDs. How much will Lynn have to pay Aaliyah‘s brother Pierre wants to spend $20 on DVDs and CDs what combination of DVDs and CDs could he buy
Answers
Answer:
Step-by-step explanation:
$6/(2 DVDs) = $3/DVD, and $8/(4 CDs) = $2/CD
a DVD costs $3
a CD costs $2
Lynn bought 4 DVDs and 2 CDs for 4×$3 + 2×$2 = $16.
Pierre bought d DVDs and c CDs for $20.
d is 0, 2, 4, or 6
c = (20-3d)/2
(d,c) = (0,10), (2,7), (4,4), or (6,1)
the product of two consecutive integers is 90. Find the two integers then check your answer
Answers
Answer:
9,10 or -10,-9
Step-by-step explanation:
Let call the first integer n and the second integer n+1 since they are consecutive.
Since the product of the integer is 90 set up this equation
[tex]n \times (n + 1)= 90[/tex]
[tex]n {}^{2} + n = 90[/tex]
Subtract 90 to get it on the left side
[tex] n {}^{2} + n - 90 [/tex]
Apply quadratic formula
[tex] - 1 + - \sqrt{ \frac{1 {}^{2} - 4(1)( - 90) }{2(1)} } [/tex]
[tex] - 1 + - \sqrt{ \frac{1 - ( - 360}{2} } [/tex]
[tex] - 1 + - \sqrt{ \frac{1 + 360 = 361}{2} } [/tex]
[tex] - 1 + - \frac{ \sqrt{361 = } 19}{2} [/tex]
The roots are n= -10 and 9. We can use either root but let use a positve root
We are taking the positve roots
Plug 9 as n into n+1
[tex]9 + 1 = 10[/tex]
or
[tex] - 10 + 1 = - 9[/tex]
volume of a cylyinder witha heght of 2.3 and a base diameter of 15.2
Answers
WHOEVER HELPS AND GETS IT RIGHT I WILL GIVE BRAINLY!!!!!
Answers
Answer:
x<-2 or x>6
written as x<-2;x>6
Step-by-step explanation:
Jace invested $67,000 in an account paying an interest rate of 5 5/8% compounded monthly. Joseph invested $67,000 in an account paying an interest rate of 6 1/4% compounded continuously. After 18 years, how much more money would Joseph have in his account than Jace, to the nearest dollar?
Answers
Answer:
$22395
Step-by-step explanation:
2. Evaluate the expression when a = 3
2a + 8
Help PlEaSeEeE!!! This us late and as if right now summer school fir me
Answers
Step-by-step explanation:
When a = 3
2a + 8
= 2* 3 + 8
= 6 + 8
= 14
Expression =2a+8
=2*3+8
=6+8 => 14(ans)
In the first quadrant, you start at (10,7)
and move 8 units left and 5 units up
What point will you end up on?
Answers
Answer: ( 2,12 )
Step-by-step explanation:
how much principal must be deposited to earn $1000 simple interest in 2 years at a rate of 5%
Answers
Answer:
1100 brainliest please
Step-by-step explanation:
1000×2×0.05=100
1000+100=110
evaluate lim x=π/4(3x - tanx)
Answers
Answer:
[tex]\lim_{x \to\frac{\pi }{4} } (3x-tanx)[/tex] = [tex]3(\frac{\pi }{4} )[/tex]
Step-by-step explanation:
Explanation:-
Given that
[tex]\lim_{x \to\frac{\pi }{4} } (3x-tanx)[/tex]
= [tex]\lim_{x \to\frac{\pi }{4} } (3x) - \lim_{x \to\frac{\pi }{4} } tanx)[/tex]
= [tex]3(\frac{\pi }{4} )+tan(\frac{\pi }{4} )[/tex]
= [tex]3(\frac{\pi }{4} )+ 1 )[/tex]
= [tex]3(\frac{\pi }{4} )[/tex]
Find an equation of a line parallel to the line y = 3x – 3 that contains the point (6,4).
Write the equation in slope-intercept form.
Answers
#First u find the gradient first, remember that the formula of equation of the line is y=mx + c
y = 3x - 3
so the gradient (m) is 3
#Now u find the equation of the line
y - y1 = m(x - x1)
y - 4 = 3(x - 6)
y - 4 = 3x - 18
y = 3x - 18 + 4
y = 3x - 14
Answer : y = 3x - 14pls help will give brainlest
Clara is running a bakery. She has made a street sign to direct people to her bakery. She painted one side of the post and sign. What is the painted area? 8 in 5 in 60 in 4 in O A. 324 square inches B. 344 square inches O C. 276 square inches O D. 240 square inches
Answers
Answer:
A. 324
Step-by-step explanation:
60 x 4 = 240
8 x 8 = 64
1/2 x (5 x 8)= 20
Add them then you get 324
f(x)=−x 2 −4x−19 find f(-9)
Answers
Answer= Let f" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">ff be the function defined by
f(x)=x2−4x" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">f(x)=x2−4xf(x)=x2−4x
for x≥2" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">x≥2x≥2. Find the inverse function indicating its domain and the range.
When I try to make x" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">xx the subject I get +" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">++and −" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">−− two answers for the inverse function. Is it the proper answer? The answer I got is
x=2±y+4." role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">x=2±y+4−−−−√.x=2±y+4.
Is it correct and how do I determine the domain and range of the function? Thanks
What’s the answer please help !!!!
Answers
what is the measure that is complementary to an 20 degree angle
Answers
Eight hundred fifty two thousand, six hundred seventy four and thirty five hundredths in numbers
Answers
Answer:
Number = 857674.35
Step-by-step explanation:
Translating the word problem into a numerical format;
Eight hundred and fifty two thousand = 852,000
Six hundred and seventy four = 674
Thirty five hundredths = 35/100 = 0.35
Now, we would add all of the values together.
Number = 852,000 + 674 + 0.35
Number = 857674.35
Evaluate the expression.
1/7 divided by 2/5 - 1/7
Answers
Answer:
3/14
Step-by-step explanation:
In order to divide fractions, you'll have to find the recriprocal of 2/5. That is 5/2. So do 1/7 x 5/2 = 5/14.
So now find 5/14 - 1/7.
1/7 converted to a denominator of 14 is 2/14.
So we have 5/14-2/14 = 3/14. That is your answer.
The first thing that we should do is turn this into a mathematical formula.
[tex]\frac{1}{7} / (\frac{2}{5} -\frac{1}{7} ) = \frac{1}{7} /(\frac{9}{35} )[/tex] .
This is more generally written as
[tex]7(\frac{9}{35}) = \frac{9}{5}[/tex]
So, our answer is 9/5 or 1.8