Mackenzie is deciding between two parking garages. Garage A charges an initial fee of $12 to park plus $5 per hour. Garage B charges an initial fee of $6 to park plus $6 per hour. Let A represent the amount Garage A would charge if Mackenzie parks for t hours, and let B represent the amount Garage B would charge if Mackenzie parks for t hours. Write an equation for each situation, in terms of t, and determine the hours parked, t, that would make the cost of each garage the same. A = В - Answer:

Q: Brian sat in a massage chair at a shopping mall for 8 minutes and paid $9. Norah sat in the same…

A: Here I have given solution in step 2.

Q: The Gifts Galore Catalog Company estimates the demand equation for its portable video…

A: Equilibrium is when demand and supply are equal. That is, Demand =supply

Q: At the beginning of summer, Mark has $200 in savings and Ryan has $350 in savings. The brothers have…

A: Let the number of mowing jobs be j and Money in savings be s First we will make equation for Mark:…

Q: The distance from Jamestown to Kenneville is 180 miles, the distance from Kenneville to Elizabeth…

A:

Q: Grayson is deciding between two landscaping companies for his place of business. Company A charges…

A: Charges of company A Equipment fee = $250 Per hour charge = $35 Charges of company B Equipment fee =…

Q: A school is holding a carnival and hopes to raise $500. Child tickets cost $3 and adult tickets cost…

A:

Q: Marco was paid $8 an hour and received $500 at the end of the summer as a bonus. Stephen was paid…

A:

Q: The phone company B-Mobile has a monthly cellular plan where a customer pays a flat fee for…

A:

Q: Nolan is deciding between two truck rental companies. Company A charges an initial fee of $90 for…

A:

Q: Arianna is deciding between two different movie streaming sites to subscribe to. Plan A costs $32…

A: Here cost details of two plans are given. We have to find the expression representing the monthly…

Q: Q2: Determine whether the graphs of each pair of equations are parallel, perpendicular or neither.…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: When Makayla moved into a new house, she planted two trees in her backyard. At the time of planting,…

A: At time of planting, t= 0. Height of tree A = 19 in Height of tree B = 35 in

Q: Kayden is deciding between two landscaping companies for his place of business. Company A charges…

A:

Q: Put the equation y x2 + 4x – 5 into the form y = (x – h)' + k: - |

A:

Q: The phone company Ringular has a monthly cellular plan where a customer pays a flat monthly fee and…

A:

Q: In the Fahrenheit temperature scale, water freezes at 32°F and boils at 212°F. In the Celsius scale,…

A:

Q: The cost of the carpool can be modeled by the following equation where C is cost of carpooling per…

A: The cost of the carpool can be modeled by the following equation where C is cost of carpooling per…

Q: To join a health club, a person must pay a $75 one-time fee plus a charge of $30 per month. This…

A:

Q: The phone company Ringular has a monthly plan where a customer pays a flat monthly fee, and then a…

A: Let x denotes the number of monthly minutes used and y denotes the total monthly cost of the plan in…

Q: The phone company Ringular has a monthly plan where a customer pays a flat monthly fee, and then a…

A: Given , Using 450 minutes bill is $217 Using 680 minutes bill is $309 given equation is y=mx+b where…

Q: 2x = 14 +y and 4x + 2y = 10

A: We know, lines with the same slope are parallel and if the slope of one line is the negative…

Q: Marco was paid $8 an hour and received $500 at the end of the summer as a bonus. Stephen was paid…

A: Marco was paid = $ 8/ hour Summer bonus = $ 500   Stephen was paid = $ 11/ hour Summer bonus = $ 300

Q: Graph each pair of equations on one set of axes. 1. y = x² and y = -x² 2. y = }x² and y = -x? 3. y =…

A: 1). To graph the equations: y=14x2 and y=-14x2. Given equations are quadratic equation. So, the…

Q: Find the solution set of each equation x + 2y + 3z = 4

A: The given equation is:       x + 2y+3z = 4        … (1) Since in the given equation contains three…

Q: A company produces two types of solar panels per year:x thousand of type A and y thousand of type B.…

A: Given that,

Q: A gardener buys two kinds of fertilizer. Fertilizer A contains 60% filler materials by weight and…

A:

Q: (b) Michael had some egg-laying hens and used two kinds of tray to store the eggs. The larger tray…

A:

Q: For each week of work, Aaron gets paid a base amount of $500, plus 25% of his total sales. If y…

A:

Q: Find the x - intercept of line whose equation is 3x + 4y =12 6. 04 O 2 03

A: Given query is to find the x intercept for the line given.

Q: Jamal works in retail and earns a base monthly salary plus a commission for his sales for each…

A: If There is No Sales then Amount of sales x =0; put x = 0 in the Equation y = 3400 + 0.05x y = 3400

Q: Solve each equation for y a) 5x + 2y = 1 b) 4x – 3y = – 2 c) 3x + 2y – 6 = 0 -

A:

Q: The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and…

A: Given The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee…

Q: Зу- 15 x + 7 14 18

A: A parallelogram is a quadrilateral whose opposite sides are parallel. The opposite angles of a…

Q: For a linear equation of the form y=mx+b, by how much does the value of y change if the value of x…

A:

Q: Two satellites are orbiting Earth. The path of one satellite has the equation x2 + y2 = 56 250 000.…

A: We can solve this problem using concept of circle.

Q: Christopher is deciding between two landscaping companies for his place of business. Company A…

A: A =  Amount company A would charge for t hours of landscaping B = Amount Company B would charge for…

Q: A business includes a monthly promotion funding of $154000. The commerce division calculates that if…

A: Given,z =f(x, y)= 340x0.9y0.9  subjected to x+y = 154000 let, g(x, y) = x+y-154000=0

Q: Find the ordered-pair solution of y=2/5x+2 that corresponds to x= -5.

A: Given query is to find the ordered pair for the function for x = -5.

Q: X+ X2 = 2X is a linear equation?

A: Solution: No.

Q: Lillian is deciding between two parking garages. Garage A charges an initial fee of $4 to park plus…

A:

Q: Caleb was given a gift card for a coffee shop. Each morning, Caleb uses the card to buy one cup of…

A: Assume x be the no. of cups of coffee and A represent amount on gift card Given, Total mount on card…

Q: Find the x-intercept of the line whose equation is 8x + 2y = 4.

A:

Q: Grayson is deciding between two landscaping companies for his place of business. Company A charges…

A:

Q: Graph the equation and indicate whether consistent, inconsistent or dependent 4x - 2y = 2 2x - y = 1

A: We have to find out the graph

Q: Thomas is 2 years more than twice the age of Peter, and the product of their age is 24. Which of the…

A: Let, The age of peter is ''x'' years. Since the age of Thomas is 2 years more than twice the age of…

Q: At the beginning of the year, Serenity had $90 in savings and saved an additional $13 each week…

A: Given,         Serenity had $90 in savings and saved an additional $13 each week thereafter.…

Q: Findthe domain ofthe following equations: X+5 Vx²-16

A: Given function is f(x)=x+5x2-16 Domain: Set all those points for which function is well defined.…

Q: The equations 5x + 2y = 48 and 3x + 2y 32 represent the money collected from school concert tickets…

A: We use elimination method to solve the problem.

Q: Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through…

A: We first find slope of 2x+5y=1Slope= -2/5

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.