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Question 1152415: The figure below shows a network of one-way streets with
traffic flowing in the directions indicated. The flow rates along the
streets are measured as the average number of vehicles per hour.
i) Solve an appropriate system of linear equations to
determine the unknown flow rates.
ii) Is it possible to close the road from A to B for
construction and keep traffic flowing on other streets?
Justify your answer.
iii) Suppose all the streets (from A to B, B to C etc.) are
bidirectional, leaving the other constants, as it is along
with the direction, how would you formulate the system
of equations?

Click here to see answer by ikleyn(52781)

Question 1152461: x ≥ 0
y ≥ 0
x ≤ 12
x + y ≥ 4
-x + 2y ≤ 14
What are the maximum and the minimum values of the function Q on the feasible region?

Click here to see answer by ikleyn(52781)

Question 1152460: Find the value of Q = 70x+82y for each vertex.
determined and which lines form the vertex.
Click here to see answer by ikleyn(52781)

Question 1152498: Graph the following equation using the point-slope method. Draw the point from the equation in yellow. Draw at least one additional point in red using the slope.
1. y - 7 = 3(x + 2)
2. y +4 = ½(x - 2)

3. y -2 = 3(x -2)
4. y - 1= (1/3)(x + 1)
5. y - 2= (-1/2)(x - 5)
Thank you

Click here to see answer by Alan3354(69443)

Question 1152458: Consider the feasible region in the xy-plane defined by the following linear inequalities.
x ≥ 0
y ≥ 0
x ≤ 12
x + y ≥ 4
-x + 2y ≤ 14
1. Find the coordinates of the vertices of the feasible region. Clearly show how each vertex is
determined and which lines form the vertex.
Click here to see answer by MathLover1(20849)

Question 1152530: -6x+3y=12
X- and y- intercepts of the graph of the equation
Click here to see answer by MathLover1(20849)

Question 1152531: You spend 40$ on a meal for you and your friends.
Graph the equation 2y+5x=40 where x is the number of sandwiches purchased and y is the number of beverages purchased.
Intercept the intercepts.
Click here to see answer by Alan3354(69443)

Question 1152554: Show a triangle ABC with A(1,1) and B(-1,4). The gradients of AB and BC are -3m,3m and m
A) find the value of m
B) find the coordinates of c
C) show that AC=2AB
Click here to see answer by Alan3354(69443)

Question 1152582: Susan the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 3 clients who did Plan A and 5 who did Plan B. On Thursday there were 6 clients who did Plan A and 2 who did Plan B. Susan trained her Wednesday clients for a total of 10 hours and her Thursday clients for a total of 10 hours. How long does each of the workout plans last?
Click here to see answer by Theo(13342)

Question 1152679: If the parallel sides of a trapezoid contained by the lines y = 2x + 7 and y = 2x - 4, what equation represents the line contained by the midsegment? Please show work, it is for a geometry quiz. Thanks :)
Click here to see answer by MathLover1(20849)

Question 1152753: Becky graphs a system of two linear equations and determines that (1,5) and (3,7) are solutions. What does the graph of the system look like? How many solutions are possible?
A) curve; two solutions
B) two lines; one solution
C) two lines; two solutions
D) one line; infinitely many
Click here to see answer by MathLover1(20849)

Question 1152790: 1. Graph the following equation using the point-slope method. Draw the point from the equation in yellow. Draw at least one additional point in red using the slope. y - 7 = 3(x + 2)
2. At Generic High School, in the year 2001, there were 20 students per every computer. In 2008, there were 4 students per computer. Write two ordered pairs to represent the ratio of student to computer. (Let x equal the number of years since 2000.)
3. Find the slope-intercept form of the equation that goes through these two points.
4. Find the point-slope form of the equation that goes through these two points.
Thank you!
Click here to see answer by josgarithmetic(39617)

Question 1152835: 1. y - 7 = 3(x + 2)
y+2=3(x-7)
y-(-2)=3(x-(7))
y-y1=m(x-x1)
y1=-2
x1=7
slope=m=3
(x1,y1)
(7,-2) is my answer, but I need to see what this looks like in a graph.
2. In the year 2001, there were 20 students per every computer. In 2008, there were 4 students per computer. Write two ordered pairs to represent the ratio of student to computer. (Let x equal the number of years since (x,y)=(year, ratio)
(2001,20) and (2008,4.5) is what I have - just need to check if this is correct.
3. Find the slope-intercept form of the equation that goes through these two points.
y=mx+b
m=(y2-y1)/(x2-x1) = m=(4.5-20)/(2008-2001)=-2.214
20=-2.214*2001+b = b=4450.786
y=-2.214x+4450.786 is what I have - just need to check if this is correct.

4. Find the point-slope form of the equation that goes through these two points.
(y-y1)=m(x-x1)
(y-20)=-2.214(x-2001)
is what I have - just need to check if this is correct.
Thank you
Click here to see answer by josgarithmetic(39617)

Question 1152845: David owns a block of 30-holiday units that he rents out. He estimates that 90% of the units are occupied when he charges $250 rent per unit per night. David finds that if he increases the rent, the demand for the units decreases. For each $40 increase in the charge, three more units are not occupied.
a) Express the number of units occupied as a function of the rent charged.
b) Express the total revenue obtained by David as a function of the rent charged.

Click here to see answer by ikleyn(52781)

Question 1152947: Convert the following equation to Slope-Intercept Form:
y - 9 = -2(x - 3
Click here to see answer by Alan3354(69443)

Question 1152948: A car’s distance in miles from its destination at time t is given by d = 360 - 55t.
What is the practical meaning of the slope?
Click here to see answer by ikleyn(52781)

Question 1152949: A car’s distance in miles from its destination at time t is given by d = 360 - 55t.
When will the car reach its destination? Round your answer to the nearest hundredth.
Click here to see answer by ikleyn(52781)

Question 1152951: A car’s distance in miles from its destination at time t is given by d = 360 - 55t.

How far away is the destination from the car's starting point?

Click here to see answer by Alan3354(69443)

Question 1153033: If the graph of 2x+ky=12 passes through the point (0,8), find 'k'
Click here to see answer by ikleyn(52781)

Question 1153043: what is the y intercept of the graph of the line 2x-3y+12
Click here to see answer by Alan3354(69443)

Question 1153042: what is the y intercept of the graph of the line 2x-3y+12

Click here to see answer by Alan3354(69443)

Question 1153113: The coordinates of three vertices of a parallelogram are (−3, 3), (2, 3), and (4, −1). What are the coordinates of the fourth vertex?
Click here to see answer by MathLover1(20849)

Question 1153138: A moving van company charges a fee of 35.00 dollars for the truck rental and 25 cents for every mile the truck travels from the loading location. Let y be the cost in dollars for using the truck for x miles. Write the slope-intercept form of the equation.
Thank you
Click here to see answer by josmiceli(19441)

Question 1153146: During the construction of a high-rise building, a worker accidentally dropped his portable electric screwdriver from a height of 400 ft. After t sec, the screwdriver had fallen a distance of
s = 16t2 ft.
(a)
How long did it take the screwdriver to reach the ground?

(b)
What was the average velocity of the screwdriver between the time it was dropped and the time it hit the ground?

What was the velocity of the screwdriver at the time it hit the ground?

Click here to see answer by ikleyn(52781)

Question 1153149: Find the slope of the tangent line to the graph of the function at the given point.
f(x) = 9x − 4x^2 at (−2, −34)
m =
Determine an equation of the tangent line.
y =

Click here to see answer by math_helper(2461)

Question 1153182: A taxi charges $3.00, plus 60 cents per kilometer. Draw a graph, and calculate the cost of travelling 30 km and the distance you can travel for $13.80.

Click here to see answer by ikleyn(52781)

Question 1153183: A taxi charges $3.00, plus 60 cents per kilometer. Draw a graph, and calculate the cost of travelling 30 km and the distance you can travel for $13.80.
Click here to see answer by ikleyn(52781)

Question 1153223: The average age of players at a ten pin bowling alley increases by 1 when either four 10-year olds leave or, alternatively, if four 22-year olds arrive. How many players were there originally and what was their average age?
Click here to see answer by greenestamps(13200)

Question 1153282: I am trying to figure out the x and y of this elimination question:
3y+9y=138
8x+5y=178

Click here to see answer by greenestamps(13200)

Question 1153282: I am trying to figure out the x and y of this elimination question:
3y+9y=138
8x+5y=178

Click here to see answer by ikleyn(52781)

Question 1153283: The sum of two numbers is -10. Their difference is 4. What are the two numbers?

Click here to see answer by Alan3354(69443)

Question 1153306:
Click here to see answer by ikleyn(52781)

Question 1153322: Using the equation y = 45+30x if an electrician works 3 hours on a job, how much will the bill be?
Using the equation y = 45+30x, if you have a budget of 300.00 dollars for this job, what is the most full hours the electrician can work?
Thank you

Click here to see answer by MathLover1(20849)

Question 1153323: Christine, Jose, and Bill served a total of 85 orders Monday at the school cafeteria. Bill served 3 times as many orders as Christine. Christine served 5 fewer orders than Jose. How many orders did they each serve?
Click here to see answer by mananth(16946)

Question 1153324: (-6,3) and having to slope of 6/7 in slope/ intercept form
Click here to see answer by josgarithmetic(39617)

Question 1153409: Slope and y-intercept for y= -5
Click here to see answer by Alan3354(69443)

Question 1153415: write the equation of the line that passes through (3,0) and (0,-10) in slope intercept form.
Click here to see answer by josgarithmetic(39617)

Question 1153439: Graph the line with slope 3/4 passing through the point (5,5)
Click here to see answer by MathLover1(20849)

Question 1153439: Graph the line with slope 3/4 passing through the point (5,5)
Click here to see answer by Alan3354(69443)

Question 1153527: find the equation for the line that passes through (1,-4) and is parallel to y=-3
Click here to see answer by MathLover1(20849)

Question 1153526: i need some help find the slope and reduce p= (3/4, 1 1/4) q=(-1/2,-1) find the slope of pq
Click here to see answer by Theo(13342)

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7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 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