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# Recent problems solved by 'nyc_function'

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 Rectangles/582558: what is the length of a rectangular back yard if the width is 16 feet and an area of 320 square feet?1 solutions Answer 372094 by nyc_function(2733)   on 2012-03-05 17:05:05 (Show Source): You can put this solution on YOUR website!A = length times width A = L*W 320 = L16 320/16 = L 20 feet = L Done!
 Volume/582556: what's the volume of a cube that has a depth of 34in. , a height of 40in. ,and a lenght of 28in1 solutions Answer 372091 by nyc_function(2733)   on 2012-03-05 16:59:58 (Show Source): You can put this solution on YOUR website!Let V = volume of cube V = 34 * 40 * 28 V = 38,080 inches cubed
 Square-cubic-other-roots/582517: Multiply and simplify √5√71 solutions Answer 372075 by nyc_function(2733)   on 2012-03-05 15:59:33 (Show Source): You can put this solution on YOUR website!√5 times √7 = √35 It cannot be simplified further.
 Linear-equations/581341: 3.Write the equation of the line which passes through (–4, 2) and is parallel to y = –x + 6 in slope-intercept form1 solutions Answer 371583 by nyc_function(2733)   on 2012-03-02 18:16:31 (Show Source): You can put this solution on YOUR website!The equation we seek has the same slope as the given equation because we know they are parallel. We use the point-slope formula, the given point (-4,2) and given slope -1. Do you see in your equation -x? There is an invisible -1 next to x. So, -x is the same as -1x. The coefficient of x ( the number next to x) is the slope of the line. y - (y coordinate of your point) = m(x -(x coordinate of your point) Let m = slope of the line y - 2 = -1(x -(-4)) y - 2 = -1(x + 4) y - 2 = -x - 4 y = -x - 4 + 2 ANSWER: y = -x - 2
 Trigonometry-basics/581349: What is 1-cosӨ =1/2 using the interval 0 ≤ Ө < 2π1 solutions Answer 371582 by nyc_function(2733)   on 2012-03-02 18:06:08 (Show Source): You can put this solution on YOUR website!1 - cos(theta) = 1/2 - cos(theta) = 1/2 - 1 - cos(theta) = -1/2 cos(theta) = (-1/2)/-1 cos(theta) = 1/2 In the interval 0 to 2pi, cos(theta) = 1/2 has the radian value of pi/3 and also 5pi/3.
 Rectangles/581337: Perimeter of a rectangle is 100 feet and i have to find length which only gives me x-11 and width is 2x+71 solutions Answer 371581 by nyc_function(2733)   on 2012-03-02 17:59:56 (Show Source): You can put this solution on YOUR website!P = 2L + 2W 100 = 2(x - 11) + 2(2x + 7) Can you finish now?
 Geometry_Word_Problems/581345: if M is the midpoint of PQ, find the value of x1 solutions Answer 371580 by nyc_function(2733)   on 2012-03-02 17:57:54 (Show Source): You can put this solution on YOUR website!This question is not complete. To find x, we need to know the distance from P to M and M to Q. For example: If PM = x^2 and MQ = 9, we can can find x, by setting x^2 to = 9 and then using our knowledge of algebra to find x. However, you did not provide this data and so this is missing information in your question. Go back and repost the entire question WORD FOR WORD.
 Travel_Word_Problems/581347: Marcus drives from one town to another in 6 hours. on the return trip, his speed is increased by 10 mph and the trip takes 5 hours. Find his rate on the return trip. how far apart are the towns?1 solutions Answer 371578 by nyc_function(2733)   on 2012-03-02 17:53:18 (Show Source): You can put this solution on YOUR website!6x = 5(x + 10) 6x = 5x + 50 6x - 5x = 50 x = 50 His going rate = x or 50mph. His returning rate = 50 + 16 or 60 mph. The towns are 300 miles apart.
 Graphs/579046: x+y=91 solutions Answer 370849 by nyc_function(2733)   on 2012-02-27 19:24:11 (Show Source): You can put this solution on YOUR website!Go to mathway.com to graph your equation.
 Numbers_Word_Problems/579044: the second of two numbers is three times the first number. Their sum is negative twenty-four find both of the numbers1 solutions Answer 370834 by nyc_function(2733)   on 2012-02-27 18:32:01 (Show Source): You can put this solution on YOUR website!second number = 3x first number = x 3x + x = -24 4x = -24 x = -24/4 x = -6 The first number is -6 and the second number is -18.
 Percentage-and-ratio-word-problems/579014: Can you help me with soving this: Word problem, The sales person reduced the price 14% to be able to sell the car for \$3440. what was the original price of that car. How much was the price reduced? 1 solutions Answer 370827 by nyc_function(2733)   on 2012-02-27 18:02:48 (Show Source): You can put this solution on YOUR website!Let A = original price of car A = 100/(100-14) * \$3440 A = \$4000 How much was the price reduced? Let R = reduction amount Original minus selling price R = \$4000 - \$3440 R = \$560
 Polynomials-and-rational-expressions/578998: 2(b+1)-(6+b)=-5 Justin had 35\$ before spending q dollars on Jeans.how much money remains? The translation is ? Solve: 16(x+3)=4(4x+5)+281 solutions Answer 370825 by nyc_function(2733)   on 2012-02-27 17:46:44 (Show Source): You can put this solution on YOUR website!Solve for b: 2(b+1)-(6+b)= -5 2b + 2 - 6 - b = -5 b - 4 = -5 b = -5 + 4 b = -1 Justin had \$35 before spending q dollars on Jeans. How much money remains? If he has \$35 and spends q dollars, the remaining amount is (35 - q) dollars. Solve for x: 16(x+3)= 4(4x+5)+28 16x + 48 = 16x + 20 + 28 16x + 48 = 16x + 48 16x - 16x = 48 - 48 0 = 0 Do you see we have the same quantity on both sides of the equation? This means the answer will always be true for this equation. Done!
 Numbers_Word_Problems/578993: The product of a number and 4 is three times the sum of that number and ten1 solutions Answer 370822 by nyc_function(2733)   on 2012-02-27 17:32:57 (Show Source): You can put this solution on YOUR website!Let n = the number 4n = 3(n + 10) 4n = 3n + 30 4n - 3n = 30 n = 30 The missing number is 30.
 Human-and-algebraic-language/577710: Tickets for a piano concert sold for \$4.50 for each adult ticket. Student tickets sold for \$2.00 each. the total receipts for 1720 tickets were \$5980. Find the number of adult tickets sold.1 solutions Answer 370270 by nyc_function(2733)   on 2012-02-24 21:15:38 (Show Source): You can put this solution on YOUR website!Let a = adult Let s = student a + s = 1720 4.5a + 2s = 5980 Solving by substitution method, I got the number of adult tickets sold is 1016 and the number of student tickets sold is 704.
 Triangles/577680: if a triangle has the following what are the angles 48 2x x1 solutions Answer 370268 by nyc_function(2733)   on 2012-02-24 20:55:05 (Show Source): You can put this solution on YOUR website!x + 2x + 48 = 180 3x = 180 - 48 3x = 132 x = 132/3 x = 44 The angles are: 44, 88, and 48.
 Volume/577697: I want to build a rectangular tank to hold 125 gallons. What would be the length, width and height 1 solutions Answer 370267 by nyc_function(2733)   on 2012-02-24 20:47:53 (Show Source): You can put this solution on YOUR website!Volume is measured in "cubic" units. The volume of a figure is the number of cubes required to fill it completely, like blocks in a box. V = length * width * height Let x = measure of length * width * height 125 = x^3 Take the cube root of both sides of the equation. cuberoot{125} = cuberoot{x^3} 5 = x Your rectangular box is actually a square with length 5, width 5 and height 5.
 Triangles/577693: If you are trying to find the measurement of angle C, and the measurement of angle B is 2a and measurement of angle A is a: 1) Find the measure of angle C of a triangle ABC if a) measurement of angle A= a b) measurement of angle B= 2a Can you explain how to do it and solve the problem. Also if the problem said: 2) Find the measerement of angle C of a triangle is a) measurement of angle A= 60 degrees+a b) measurement of angle B= 60 degrees-a1 solutions Answer 370265 by nyc_function(2733)   on 2012-02-24 20:39:55 (Show Source): You can put this solution on YOUR website!If you are trying to find the measurement of angle C, and the measurement of angle B is 2a and measurement of angle A is a: 1) Find the measure of angle C of a triangle ABC if a) measurement of angle A= a b) measurement of angle B= 2a Let C = measure of angle C. C = 180 - (a + 2a) C = 180 - 3a =========================== Can you explain how to do it and solve the problem. Also if the problem said: 2) Find the measerement of angle C of a triangle is a) measurement of angle A= 60 degrees+a b) measurement of angle B= 60 degrees-a Let C = measure of angle C. C = 180 - (60 + a + 60 - a) C = 180 - 120 C = 60 degress. Done!
 Graphs/577656: I am working on algebra homework involving circles and identifying the center and radius. I got part of this equation correct, some of it by guessing. I need assistance figuring out the radius please. My problem is as follows. Identify the center & radius of the circle written in standard form. Center (x,y) ( , ) Radius, x^2 + (y+5)^2=27 I figured out/guessed, (x,y) is (0, -5) I dont know how to figure the radius. I have tried 27, 27^2, 729, all incorrect I am at a loss. I would appreciate any help possible. Thank you.1 solutions Answer 370243 by nyc_function(2733)   on 2012-02-24 18:35:44 (Show Source): You can put this solution on YOUR website!You are right in saying that the center is the point (0,-5). The radius is: r^2 = 27 Take the square root of both sides. sqrt{r^2} = sqrt{27} r = sqrt{9}*sqrt{3} r = 3(sqrt{3}). The radius is 3 times the square root of 3.
 Linear-equations/577652: -7(x-3)=-41 solutions Answer 370242 by nyc_function(2733)   on 2012-02-24 18:31:38 (Show Source): You can put this solution on YOUR website!-7(x-3)= -4 -7x + 21 = -4 -7x = -4 - 21 -7x = -25 x = -25/-7 x = 25/7 Done!
 Equations/577642: A woman has \$2.65 in dimes and nickels. She has 13 more dimes than nickels. How many nickels does she have?1 solutions Answer 370236 by nyc_function(2733)   on 2012-02-24 18:00:43 (Show Source): You can put this solution on YOUR website!Here is the system of equations that you need to solve for the total amount of dimes and nickels. 5n+10d = 265 d = 13+n Use the substitution method to find your dimes and nickels.
 Equations/577643: Solve the formula v=1/3ah for h1 solutions Answer 370235 by nyc_function(2733)   on 2012-02-24 17:54:29 (Show Source): You can put this solution on YOUR website!To solve for h means to isolate h. V = 1/3 * ah, which can be also written V = ah/3. Multiply both sides by 3. 3V = (ah/3) * 3 3V = ah We now divide both sides by a. 3V/a = h Done!
 Triangles/575441: If a triangle has a height of 12 in. and a base of 5 in., what is its area?1 solutions Answer 369487 by nyc_function(2733)   on 2012-02-20 20:00:20 (Show Source): You can put this solution on YOUR website!A = 1/2 times base times height A = 1/2 times 12in times 5in A = 1/2 times 12in times 5in A = 1/2 times 60in A = 30in^2
 Linear-equations/575466: Solve please: A job at a retail store pay \$80 per week plus 20% commission total sales. Use p as the vertical axis and s as the horizontal axis.1 solutions Answer 369484 by nyc_function(2733)   on 2012-02-20 19:55:43 (Show Source): You can put this solution on YOUR website!This question is not complete. You said "Use p as the vertical axis and s as the horizontal axis" to do what exactly?
 Graphs/574427: What's the differences between using the y=mx+b unlike the formula m=y2-y1/x2-x1 to find the slope? 1 solutions Answer 369083 by nyc_function(2733)   on 2012-02-17 19:40:43 (Show Source): You can put this solution on YOUR website!A common form of a linear equation in the two variables x and y is y = mx + b, where m and b are called constants. The origin of the name "linear" comes from the fact that the set of solutions of such an equation forms a straight line in the coordinate plane. In this particular equation, the constant m determines the slope or gradient of that line, and the constant term "b" determines the point at which the line crosses the y-axis, otherwise known as the y-intercept. =============================================================================== In math, the slope or gradient of a line describes its steepness, incline, or grade. A higher slope value indicates a steeper incline. Slope is normally described by the fraction of the "rise" divided by the "run" between two points on a given line or linear equation in the form y = mx + b. The rise is represented by (y2 − y1). The run is represented by (x2 − x1). The slope m of the line is found using the formula m = (y2 - y1)/(x2 - x1).
 Expressions-with-variables/574434: (4-x)/(x-8)-(5x-7)/(8-x)1 solutions Answer 369081 by nyc_function(2733)   on 2012-02-17 19:27:24 (Show Source): You can put this solution on YOUR website!(4 - x) / (x - 8) + (5x - 7) / (x - 8) [4 - x + 5x - 7]/(x - 8) (4x - 3)/(x - 8) Do you understand now?
 Permutations/574411: A telephone company wants to create as many 7-digit phone numbers as possible without changing the first 3 digits. How many phone numbers can be created?1 solutions Answer 369077 by nyc_function(2733)   on 2012-02-17 18:03:49 (Show Source): You can put this solution on YOUR website!7P3 = 7!/(7 - 3)! 7P3 = 5040/4! 7P3 = 5040/24 7P3 = 210 phone numbers can be created.
 Percentage-and-ratio-word-problems/574409: if i run 2 miles in 15 minutes and 48 seconds. How long would it take to run 1 mile?1 solutions Answer 369076 by nyc_function(2733)   on 2012-02-17 17:59:16 (Show Source): You can put this solution on YOUR website!Convert 15 minutes to seconds and then add to 48 seconds to start with. 15 minutes = 900 seconds Then 900 seconds + 48 seconds = 948 seconds. Here is the proportion: 2 miles/1 mile = 948 seconds/s Solving equation for s, where s represents seconds, we get s = 474 seconds. Convert 474 seconds to minutes by dividing 474/60. 474/60 = 7.9 minutes.
 Polynomials-and-rational-expressions/574402: (9a square+4)(3a+2)(3a-2)1 solutions Answer 369073 by nyc_function(2733)   on 2012-02-17 17:51:53 (Show Source): You can put this solution on YOUR website!(9a^2 + 4)(3a + 2)(3a - 2) = (27a^3 + 18a^2 + 12a + 8)(3a - 2) = 81a^4 + 54a^3 + 36a^2 + 24a -54a^3 - 36a^2 - 24a - 16 = 81a^4 - 16
 Numbers_Word_Problems/572325: the sum of two numbers is 144. if four times the smaller numbers is subtracted from the larger number the result is 14.1 solutions Answer 368367 by nyc_function(2733)   on 2012-02-13 19:17:52 (Show Source): You can put this solution on YOUR website!a + b = 144 a - 4b = 14 This is a system of linear equations in 2 variables. After using the substitution method, I found one number to be 26 and the other number to be 118.
 Quadratic-relations-and-conic-sections/572263: can you visualy show me step by step how to find the vertex of the equation y=5(x+5)(x-2) 1 solutions Answer 368356 by nyc_function(2733)   on 2012-02-13 18:38:27 (Show Source): You can put this solution on YOUR website!y = 5(x+5)(x-2) y = 5(x^2 + 3x - 10) y = 5x^2 + 15x - 50 The vertex we need is in the form (x,y). To find the x-coordinate, use x = -b/2a. a = 5 and b = 15 x = -15/2(5) x = -15/10 x = -3/2 To find y, replace x in the above equation with -3/2 and simplify. y = 5(-3/2)^2 + 15(-3/2) - 50 y = -245/4 The vertex is the pont (-3/2, -245/4).
 Polynomials-and-rational-expressions/572250: The Robertsons put a rectangular pool with a stone walkway around it in their backyard. The total length of the pool and walkway is 3 times the total width. The walkway is 2 feet wide all around. a-write an expression for the area of the pool. b-find the area of the pool when the total width is 10 feet. c-find the area of the pool when the total width is 9 feet. please answer a, b, and c!1 solutions Answer 368348 by nyc_function(2733)   on 2012-02-13 17:47:58 (Show Source): You can put this solution on YOUR website!Let w = width Let A = area A = (w - 2)(3w - 2)...This answers part a. By the way, the answer for part a can also be given as 3x^2 - 8x + 4 after multiplying the factors (w - 2)(3w - 2). Part b: A = (10 - 2)(3(10) - 2) A = (8)(28) A = 224ft^2 Part c: A = (9 - 2)(3(9) - 2) A = (7)(25) A = 175ft^2