chestra, Main, and balcony seating. Orchestra seats sell for $160 main seat sell for $125 and balcony seats sell for 100. If all seats are sold, the Grosse revenue to the theater is six the $61,250. If all the main and balcony seats are sold but only hal

chestra, Main, and balcony seating. Orchestra seats sell for $160 main seat sell for $125 and balcony seats sell for 100. If all seats are sold, the Grosse revenue to the theater is six the $61,250. If all the main and balcony seats are sold but only hal

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Equations, Inequalities, And Mathematical Modeling

Section1.3: Modeling With Linear Equations

Problem 57E: A forester is making a gasoline-oil mixture for a chainsaw engine. The forester has 2 gallons of a...

See similar textbooks

Related questions

Q: Using Variation of Parameters, the particular solution y, of the non-homogeneous differential…

Q: 2 2. A = Fmel eDen Value 1. 1- and eiJen Vector note di=5 入es o

Q: a. Highlight the graph of y = I 6x +5 red by dragging your finger along the indicated line. x2 + 6x…

Q: r = 4 sin 0 r = 1+ sin 0 В A

Q: 5. Let Tn be the n x n matrix that has all O's below the main diagonal and all 1's on and above the…

Q: Use either integration by substitution or integration by parts as needed to evaluate x²+1 x'+3x+5 A…

Q: Using 7 consonants and 5 vowels, how many words consisting of 4 consonants and 3 vowels can be…

A: using combinations

Q: 4 -7 6. 3. Determine the adjoint of -2 4 7 -4

Q: Consider the initial value problem dy 7 e y = sin(3 x) y(-6) = 13 da Use the existence and…

A: Let us consider the initial value problem y''+p(x)y'+q(x)y=0, y(x0)=p To determine the interval of…

Q: 0 0<t< 16. A periodic function y =f(t)3D f(t+r)=f(t) 2 <t<n 2 a) Sketch the periodic function over…

Q: the Area that lies inside r=3+2 sin 0 out side r=2 is 24.315 O -24.187 O 23.957 O 24.187 O -23.957

A: Solution:-

Q: Solve the following equation step by step and check your result 2* – 4 = 0

A: Given the equation z3-4=0. We will find the roots of the equation using the De Moivre's Formula

Q: I. Does the graph below have Eulerian or Hamiltonian Circuit? If there is, find one. If none explain…

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: 3 6. Work Problem 3 (- - ): V1 0 , v2 = 0 |2 vectors from 2 R³. (a) [ independent (b) . {U1, U2, V3…

A: We know that two vector u and v are linearly dependent if and only if one is a scalar multiple of…

Q: 11 4. Let A= 0 1 10-1 Explain why one cannot solve Ax b for x exactly. Find the general form of x…

A: Let A=11001110-1 and b=123

Q: Show that a is an eigenvalue of A and find one eigenvector v corresponding to this eigenvalue. 2 A 4…

Q: 3 Compute the Fourier transform and inverse of the following inputs use fourier matlab function : •…

A: (1) rectangular plus Input syms a b t f = rectangularPulse(a,b,t); f_FT = fourier(f ) Output f_FT =…

Q: The indicial equation of the differential equation x2y" – x²y' + (1 +x)y-0 is: O r(r-2)=0 O…

A: Here we use basic formula of indicial equation

Q: We consider the linear transformation T : R3 ------R 3 T(x,y,z) = ( x + 2y - z , -y + 4z ,5z) 1.…

A: Note: Our guidelines we are supposed to answer only three subpart . Kindly repost other subpart as…

Q: Given the quadric surface z = * + draw level curves (contour lines) for the heights c = 0,5, 10, 15,…

A: Given surface z =x24+y22 To draw , level curves for c = 0, 5, 10, 15, 20

Q: The table shows data about student involvement in extracurricular activities at a local high school.…

Q: 11. The equation of the main window of a periodic function f(t) is given below: (t'+1 -1<t<0 f(t)=…

Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A: Solution:-

Q: az and dy dz IV. Suppose z is a function of a and y, and tan Vy? + 2 6y Solve for

Q: Let V be the vector space of all functions from R to R and W, = (/:(4) = 3 +f(2)} W, =/: 2{3) =(1)}…

Q: (A) C =D (Simplify your answer. U your answer.)

A: We have to find the total daily cost C of producing x golf clubs.

Q: G is a set of all rational numbers except 1 and is defined by a*b = a + b + ab for all a, be G. In…

Q: a) limn-o fn(x) for each r E [0, 1], and b) lim,- So fn(x) dx.

Q: Given the equation x tanx - 1.28 = 0: %3D 1) Find how many positive solutions there are; 2) Find the…

A: We will use only the basic knowledge of real-valued functions and numerical analysis to answer all…

Q: The series solution about the ordinary point 0 of the differential equation (x- 1)y" + y' = 0 is…

Q: 8 B =|-3 4 1. 4 -4 5] • Find adj B •Compute determinant Show that the B (adj B) = (adj B) B= det…

Q: Solve the following system by the method of reduction 1. x + 2y – z = 2 -x + 2y + 5z = 10 2x + 3y +…

Q: For the following exercises, match each function with one of the graphs pictured below D. E 14. f…

A: For the exponential function of the form: y=abx, b is called the growth/decay factor. If b>1,…

Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

Q: Solving by variation of parametersy" + 2y'+ y = e*, we find that: u_1=[-(2x-1)/4] e^2x and…

A: Solution:

Q: 3. u, = u, - sin x cos t, 1 >0 В.С.: и(0, г) %3D0, = () 1.С.: «(х, 0) %3D 0, u,(x. 0) = 0

Q: G is a set of all rational numbers except- 1 and is defined by a*b = a + b + ab for all a, be G. In…

Q: Calculate S3, SA, and S5 and then find the sum for the telescoping series 1 Σ n+1 S = n+2 n=9 where…

Q: 3. C = cosh-1{sin-[tan log (3 - j8)]}

Q: Question 3 equation x²y" + 3xy – 3y = 3x2 – 2x³. (a) Verify that yi x and y2 x3 are solutions of xy"…

Q: Differentiate the following using (a) forward difference method; (b) backward difference method; (c)…

A: We are given the following function. f(x)=12 sinh(x) at x=1 Note: We will be taking the step…

Q: 6. Let 15 2 8 B= |-3 4 1 L4 -4 5. e) Find odj a Compute det (B) E Show that the B (Adj B) = (odj 8)…

Q: fined the genral solution 8) (D + D,)'u = 0 %3D

Q: C.CE diff. eqs. 8. x³y" +x²y" – 2x y' + 2 y = x³sinx

Q: In circle T, mZWUV = 59°. Solve for z if mWV = (9z – 24)°. If necessary, round your answer to the…

A: Solution

Q: 8. Determine the truth value of the each of these statements if the domain consists of all integers:…

A: To determine the truth value of the following statements if the domain consists of all integers: d.…

Q: Define T : R2 R? by T (x) = Ax with A defined below. 7 3 A = (a) Find a basis B = {b,, b2} for R?…

Q: Part a: Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we…

A: To find- Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we…

Q: For the three-point geometry, draw a pictorial representation different from those in our examples.…

A: Three point geometry is a finite geometry with the following four axioms: (a) There exist exactly…

Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A: Solution:-

Question

A Broadway theater has 500 seats, divided into Orchestra, Main, and balcony seating. Orchestra seats sell for $160 main seat sell for $125 and balcony seats sell for 100. If all seats are sold, the Grosse revenue to the theater is six the $61,250. If all the main and balcony seats are sold but only half the orchestra seats are sold the gross revenue is $53,250 how many of each kind of seats are there?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Kenneth currently sells suits for company A at a salary of $22,000 plus a $10 commission for each suit sold. Company B offers him a position with a salary of $28,000 plus a $4 commission for each suit sold. How many suits would Kenneth need to sell for the options to be equal?
After attending a major league baseball game, the patrons often purchase souvenirs. If a family purchases 4 t-shirts, a cap and 1 stuffed animal their total is $135. A couple buys 2 t-shirts, a cap and 3 stuffed animals for their nieces and spends $115. Another couple buys 2 t-shirts, a cap and 1 stuffed animal and their total is $85. What is the cost of each item?
A forester is making a gasoline-oil mixture for a chainsaw engine. The forester has 2 gallons of a mixture that is 32 parts gasoline and 1 part oil. How many gallons of gasoline should the forester add to bring the mixture to 50 parts gasoline and 1 part oil?
The community college soccer team sold three kinds of tickets to its latest game. The adult tickets sold for $10, the student tickets for $8 and the child tickets for $5. The soccer team was thrilled to have sold 600 tickets and brought in $4,900 for one game. The number of adult tickets is twice the number of child tickets. How many of each type did the soccer team sell?
A local band sells out for their concert. They sell all 1,175 tickets for a total purse of $28,112.50. The tickets were priced at $20 for student tickets, $22.50 for children, and $29 for adult tickets. If the band sold twice as many adult as children tickets, how many of each type was sold?
The community college fine arts department sold three kinds of tickets to its latest dance presentation. The adult tickets sold for $20, the student tickets for $12 and the child tickets for $10.The fine arts department was thrilled to have sold 350 tickets and brought in $4,650 in one night. The number of child tickets sold is the same as the number of adult tickets sold. How many of each type did the department sell?
Parent Volunteer Laurie was completing the treasurer’s report for her son’s Boy Scout troop at the end of the school year. She didn’t remember how many boys had paid the $24 full-year registration fee and how many had paid a $16 partial-year fee. She knew that the number of boys who paid for a full-year was ten more than the number who paid for a partial-year. If $400 was collected for all the registrations, how many boys had paid the full-year fee and how many had paid the partial-year fee?
During her shift at the museum ticket booth, Leah sold 115 tickets for a total of $1,163. Adult tickets cost $12 and student tickets cost $5. How many adult tickets and how many student tickets did Leah sell?
Three coworkers work for the same employer. Their jobs are warehouse manager, office manager, and truck driver. The sum of the annual salaries of the warehouse manager and office manager is $82,000. The office manager makes $4,000 more than the truck driver annually. The annual salaries of the warehouse manager and the truck driver total $78,000. What is the annual salary of each of the co-workers?
Laurie was completing the treasurer’s report for her son’s Boy Scout troop at the end of the school year. She didn’t remember how many boys had paid the $15 full-year registration fee and how many had paid the $10 partial-year fee. She knew that the number of boys who paid for a full-year was ten more than the number who paid for a partial-year. If $250 was collected for all the registrations, how many boys had paid the full-year fee and how many had paid the partial-year fee?