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# Recent problems solved by 'nyc_function'

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 Geometry_proofs/366274: how many sections do we have to have in each proofs 1 solutions Answer 261104 by nyc_function(2733)   on 2010-11-04 23:48:45 (Show Source): You can put this solution on YOUR website!You must write until the prove is stated entirely. Of course, your teacher may accept a short or long prove but either way, you must keep on writing until the prove is stated completely or else you have nothing but words and/or math symbols.
 Distributive-associative-commutative-properties/366284: 5+3(5+5^2)4 How do I show the work and correct property and also the answer?1 solutions Answer 261102 by nyc_function(2733)   on 2010-11-04 23:42:19 (Show Source): You can put this solution on YOUR website!5+3(5+5^2)4 = 5 + 3(5 + 25)4 = 5 + 3(30)4 = 5 + 90(4) = 5 + 360 = 365 Done!
 Miscellaneous_Word_Problems/366392: Candy and Tim share a paper route. It takes Candy 65 min to deliver all the papers, and it takes Tim 85 min. How long does it take the two when they work together? 1 solutions Answer 261082 by nyc_function(2733)   on 2010-11-04 22:43:02 (Show Source): You can put this solution on YOUR website!Solve the following to find your answer: (65/60)(85/60)/(65/60) + (85/60) = 221/360 hours or 36 minutes.
 Mixture_Word_Problems/366358: how many liters of a 90% acid solution must be added to 6 liters of a 15% acid solution to obtain a 40% acid solution1 solutions Answer 261080 by nyc_function(2733)   on 2010-11-04 22:34:15 (Show Source): You can put this solution on YOUR website!0.90x + 0.15(6) = 0.40(x + 6) Can you take it from here?
 Miscellaneous_Word_Problems/366389: A merchant blends tea that sells for \$4.60 a pound with tea that sells for \$2.35 a pound to produce 50 lb of a mixture that sells for \$3.25 a pound. How many pounds of each type of tea does the merchant use in the blend? 1 solutions Answer 261077 by nyc_function(2733)   on 2010-11-04 22:30:49 (Show Source): You can put this solution on YOUR website!4.60x + 2.35x = 3.25(2x + 5) Can you take it from here?
 Triangles/366382: The base and height of a triangle whose height is four more than twice its base. What is the base? What is the height?1 solutions Answer 261076 by nyc_function(2733)   on 2010-11-04 22:27:18 (Show Source): You can put this solution on YOUR website!Let h = 2x + 4 Let b = x Of course, the height is 2x + 4 and the base is just x. Done!
 Linear-systems/366374: when solving an inequality, how do you know when to switch the sign?1 solutions Answer 261074 by nyc_function(2733)   on 2010-11-04 22:20:33 (Show Source): You can put this solution on YOUR website!If an inequality is multiplied (or divided) by a negative number, then we switch the sign of the inequality.
 Distributive-associative-commutative-properties/366333: 7(-2+x)=-56 1 solutions Answer 261022 by nyc_function(2733)   on 2010-11-04 21:00:42 (Show Source): You can put this solution on YOUR website!7(-2+x)=-56 -14 + 7x = -56 7x = -56 + 14 7x = -42 x = -42/7 x = -6 Done!
 Distributive-associative-commutative-properties/366339: 1-8a-4=-6a-111 solutions Answer 261019 by nyc_function(2733)   on 2010-11-04 20:59:18 (Show Source): You can put this solution on YOUR website!1-8a -4 = -6a-11 -8a - 3 = -6a - 11 -8a + 6a = -11 + 3 -2a = -8 a = -8/-2 a = 4 Done!
 Numeric_Fractions/366315: For i = , if 3i (2 + 5i) = x + 6i, then x = ?1 solutions Answer 261016 by nyc_function(2733)   on 2010-11-04 20:57:37 (Show Source): You can put this solution on YOUR website!If 3i (2 + 5i) = x + 6i, then x = ? 6i + 15i^2 = x + 6i 6i + 15(-1) = x + 6i 6i - 15 = x + 6i -15 = x + 6i - 6i -15 = x Done!
 Functions/365955: If f is a function such that f(x+1) = 2x - 1, then f(2x) = A) 4x - 1 B) 2x - 2 C) 4x - 4 D) 4x - 3 E) 2 1 solutions Answer 260799 by nyc_function(2733)   on 2010-11-04 08:01:10 (Show Source): You can put this solution on YOUR website!Replace x with 2x for 2x - 1. 2(2x) - 1 = 4x - 1 Answer choice A.
 decimal-numbers/365960: 1 6/10 + 3 3/2 - 5 1/4 = 1 solutions Answer 260798 by nyc_function(2733)   on 2010-11-04 07:58:40 (Show Source): You can put this solution on YOUR website!1 6/10 + 3 3/2 - 5 1/4 = Change all mixed numbers to improper fractions. 1_6/10 = 16/10 3_3/2 = 9/2 5_1/4 = 21/4 We now have: 16/10 + 9/2 - 21/4. We add first and then subtract. 16/10 + 9/2 = 61/10 We now subtract. 61/10 - 21/4 = 17/20 Done!
 Percentage-and-ratio-word-problems/365755: what percent of 143 is 93?1 solutions Answer 260695 by nyc_function(2733)   on 2010-11-03 19:47:13 (Show Source): You can put this solution on YOUR website!Let p = what percent p143 = 93 p = 93/143 p = 0.65 p = 65%
 Reduction-of-unit-multipliers/365756: The function p(d)= 1+d/33, gives the pressure in atmosphere (atm), at a depth d in the sea (d is in feet). Note that p(0)= 1 atm, p (33= 2 and so on. Find the pressure at 160 feet. Write answer as a fraction.1 solutions Answer 260694 by nyc_function(2733)   on 2010-11-03 19:45:04 (Show Source): You can put this solution on YOUR website!p(d)= 1+d/33 Let d = 160 and solve for p(160). p(160) = 1 + 160/33 p(160) = 1 + 4_28/33 p(160) = 5_28/33
 Travel_Word_Problems/365750: A boat sailed 24 km in 90 minutes what was the average speed of the boat? 1 solutions Answer 260693 by nyc_function(2733)   on 2010-11-03 19:40:54 (Show Source): You can put this solution on YOUR website!To find the average speed, use D/t = r. D = distance t = time (in hours) r = speed or rate Convert 90 to 1.5 hours. 24/1.5 = r 16 = r The boat's speed is 16 km/hour.
 Linear-equations/365677: y=x+2 x and y intercept?1 solutions Answer 260692 by nyc_function(2733)   on 2010-11-03 19:37:51 (Show Source): You can put this solution on YOUR website!To find the x-intercept, let y = 0 and solve for x. y = x + 2 0 = x + 2 0 - 2 = x - 2 = x To find the y-intercept, let x = 0 and solve for y. y = x + 2 y = 0 + 2 y = 2 Done!
 Exponents/365741: What is Is it or ? 1 solutions Answer 260691 by nyc_function(2733)   on 2010-11-03 19:35:55 (Show Source): You can put this solution on YOUR website!(7t^2)^3 = 7^3(t^2)^3 7^3 = 343 (t^2)^3 = t^6 Answer: 343t^6
 Mixture_Word_Problems/364306: A silversmith has two alloys, one containing 60% silver and the other 20% silver. How much of each should be melted and combined to obtain 300 grams of an alloy containing 44% silver? 1 solutions Answer 259825 by nyc_function(2733)   on 2010-11-01 01:02:08 (Show Source): You can put this solution on YOUR website!0.60x + 0.20x = 0.44(2x + 300) Can you take it from here?
 test/364407: 9-(9-(9-13))1 solutions Answer 259824 by nyc_function(2733)   on 2010-11-01 01:01:04 (Show Source): You can put this solution on YOUR website!9-(9-(9-13)) = 9 - (9-(-4)) = 9 -(9 + 4) = 9 - 13 = -4
 Proportions/363422: A floodlight at ground level 6 feet from a bush 4 feet tall casts a shadow of the bush on a building that is 24 feet from the bush. What is the height of the shadow?1 solutions Answer 259822 by nyc_function(2733)   on 2010-11-01 00:56:07 (Show Source): You can put this solution on YOUR website!Let h = height of shadow 6/24 = 4/h 24(4) = 6h 96 = 6h 96/6 = h 16 feet = h Done!
 real-numbers/364358: Find the gcf for the list. 21m^4, 189m^7, 441m^51 solutions Answer 259817 by nyc_function(2733)   on 2010-11-01 00:29:25 (Show Source): You can put this solution on YOUR website!The GCF is 21m^4 because it can be used to divide the other two terms and itself.
 Trigonometry-basics/364398: I was helping a friend with her trig homework and we both got stuck on this one problem. It has to do with solving a trigonometric equation. We know we have to use an identity, but we just haven't found the right one to make it easy. Here is the problem: Solve for x, where x is greater than or equal to zero, but less than or equal to 2 pi. sin(x) + (square root of 3)cos(x)= -1 I tried several identities and tried to find a double or half angle formula that might help, but I just haven't been able to get one to work...everytime I replace something with an identity, I make it larger and more complex, I'm not simplifying anything. 1 solutions Answer 259814 by nyc_function(2733)   on 2010-11-01 00:25:15 (Show Source): You can put this solution on YOUR website!sin(x) + (square root of 3)cos(x) = -1 Add 1 to both sides. sin(x) + (square root of 3)cos(x) + 1 = 0 Did you try the quadratic formula? Let a = 1, b = sqrt[3] and c = 1 Using the quadratic formula I got: x = (-sqrt[3] + i)/2 AND x = (-sqrt[3] - i)/2
 Numeric_Fractions/363415: How do I solve 2x/5+x/5? I am in 6th grade. Thanks, Timmy1 solutions Answer 259116 by nyc_function(2733)   on 2010-10-28 22:42:15 (Show Source): You can put this solution on YOUR website!Apply the rules of addition of fractions. Do you see that the denominator of both fractions is 5? This means there is no need to find the LCD. Simply add the numerators and keep 5 in the denominator. Answer: 3x/5
 Inverses/363399: what is the inverse of 16^2. what is the inverse of square root of 144 1 solutions Answer 259115 by nyc_function(2733)   on 2010-10-28 22:39:12 (Show Source): You can put this solution on YOUR website!The inverse of 16^2 = 16^(1/2) = sqrt[16]. The inverse of sqrt[144] = 1/sqrt[144].
 Equations/363367: Q=V-I/L 1 solutions Answer 259112 by nyc_function(2733)   on 2010-10-28 22:22:22 (Show Source): You can put this solution on YOUR website!What do you need done with this equation?
 Linear-equations/363420: x+y = 27 y = x+31 solutions Answer 259110 by nyc_function(2733)   on 2010-10-28 22:14:02 (Show Source): You can put this solution on YOUR website!x + x + 3 = 27 2x + 3 = 27 2x = 27 - 3 2x = 24 x = 24/2 x = 12 ============ y = x + 3 y = 12 + 3 y = 15 Final Answer: x = 12, y = 15
 Linear-equations/363423: x+y=27 y=x+31 solutions Answer 259109 by nyc_function(2733)   on 2010-10-28 22:13:24 (Show Source): You can put this solution on YOUR website!x + x + 3 = 27 2x + 3 = 27 2x = 27 - 3 2x = 24 x = 24/2 x = 12 ============ y = x + 3 y = 12 + 3 y = 15 Final Answer: x = 12, y = 15
 Equations/362863: How do you simplify 1/x+8?1 solutions Answer 259003 by nyc_function(2733)   on 2010-10-28 17:43:25 (Show Source): You can put this solution on YOUR website!This fraction cannot be simplified further. It is already in lowest terms.
 Rational-functions/363196: Simplify the rational expression over 1 solutions Answer 259001 by nyc_function(2733)   on 2010-10-28 17:41:46 (Show Source): You can put this solution on YOUR website!Factor the top and bottom and then reduce the fraction as needed. 4x^2 - 36 becomes (2x - 6)(2x + 6). 2x - 6 becomes 2(x - 3) and 2x + 6 becomes 2(x + 3). The numerator becomes [4(x - 3)(x + 3)]. x^2 + 10x + 21 becomes [(x + 3)(x + 7)] = the denominator. Our fraction now looks like this: [4(x - 3)(x + 3)]/[(x + 3)(x + 7)] What do you think we need to do now? We need to cancel out common terms on the top and bottom. I see that (x + 3) is found on the top and bottom. So, we cancel out (x + 3) on the top and bottom. The answer is: 4(x - 3)/(x + 7). Done!
 Travel_Word_Problems/363253: it takes ypur bus 1/2 hr to get you to school which is 2 miles away. how far would a round trip be in yards?1 solutions Answer 258998 by nyc_function(2733)   on 2010-10-28 17:32:25 (Show Source): You can put this solution on YOUR website!Going to school takes 30 minutes and the school is 2 miles away. Returning from school takes 30 minutes and the school is still 2 miles away. A round trip totals 4 miles in this case. The question is: How many yards in 4 miles? There are 5280 feet in one mile. For 4 miles, there are 5280 x 4 or 21,120 feet. There are 3 feet in one yard. So, 21,120 feet divided by 3 feet = 7040 yards. There are 7040 yards in 4 miles. Done!
 Graphs/363250: how do you do 2x=4y-1 in standard form1 solutions Answer 258994 by nyc_function(2733)   on 2010-10-28 17:24:56 (Show Source): You can put this solution on YOUR website!The standard form is given by Ax + By = C. We need to write your equation in the form listed above. 2x = 4y -1 subtract 4y from both sides. 2x - 4y = -1 Done!