# Questions on Algebra: Equations answered by real tutors!

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 Algebra: Equations Solvers Lessons Answers archive Quiz In Depth

 Question 196174: Hello! I keep getting the answer of -8 to the following problem. Can you please help me correct to what I'm doing wrong? The given equation is either linear or equivalent to a linear equation. Solve the equation. (t - 2)^2 = (t + 2)^2 + 24 thanks! Click here to see answer by nerdybill(6958)

 Question 196178: x + 3y = 7 -x + y = -3 Click here to see answer by nerdybill(6958)

 Question 196177: 3x + y = -5 x - 2y = 3 Click here to see answer by anantha(86)

 Question 196176: 3x + 2y =12 2x + y = 7 Click here to see answer by RAY100(1637)

 Question 196175: 2x + y = 5 x - y = 4 Click here to see answer by RAY100(1637)

 Question 196166: what is the solution to this system of equations y=-3x-2 6x+2y=-4 Click here to see answer by RAY100(1637)

 Question 196220: Hello. I'm having some difficulty figuring out the following word problem, Can you help me? If Ben invests \$3000 at 4% interest per year, how much additional money must he invest at 5 1/2% annual interest to ensure that the interest he receives each year is 4 1/2% of the total amount invested? thanks! Click here to see answer by vleith(2825)

 Question 196225: Let W be the relationship defined by A W B= 2A + 5B What is the value of 9W(3 W 1)? In the problem on the sheet the "W" looks like a pitchfork. I have never seen this symbol before. Please help??? Click here to see answer by jim_thompson5910(28593)
 Question 196225: Let W be the relationship defined by A W B= 2A + 5B What is the value of 9W(3 W 1)? In the problem on the sheet the "W" looks like a pitchfork. I have never seen this symbol before. Please help??? Click here to see answer by solver91311(16877)

 Question 196219: Hello. I'm having some difficulty figuring out the following word problem, Can you help me? A bottle contains 650 mL of fruit punch with a concentration of 50% pure fruit juice. Jill drinks 100 mL of the punch and then refills the bottle with an equal amount of a cheaper brand of punch. If the concentration of juice in the bottle is now reduced to 48%, what was the concentration in the punch that Jill added? Click here to see answer by josmiceli(9674)

 Question 196218: Hello. I'm having some difficulty figuring out the following word problem, Can you help me? A jeweler has 6 rings, each weighing 7 g, made of an alloy of 5% silver and 95% gold. He decides to melt down the rings and add enough silver to reduce the gold content to 87%. How much silver should he add? Thanks! Click here to see answer by scott8148(6628)

 Question 196265: Hi! I've become stuck on a section in this word problem that I can't seem to figure out. Can you assist me? A woman driving a car 14 ft long is passing a truck 28 ft long. The truck is traveling at 50 mi/h. How fast must the woman drive her car so that she can pass the truck completely in 6 s, from the position shown in figure (a) to the position shown in figure (b)? [Hint: Use feet and seconds instead of miles and hours.] (Enter your answers in terms of integers or fractions.) thanks! Click here to see answer by stanbon(57332)

 Question 196283: solve each equation. PLEASE DO THESE FOR ME.. THANKS 1. x/3+x/2=10 2. y-3/5=y+1/7 3. x/2=2x-3 4. -1/4-2x/3 5. 1/x-1/6=4/3x^2 6. 2x-4/x-5=0 Click here to see answer by anantha(86)

 Question 196348: Hello. I'm having some trouble figuring out the following problem: A box with a square base and no top is to be made from a square piece of cardboard by cutting 4 inch squares from each corner and folding up the sides, as shown in the figure. The box is to hold 144 in3. How big a piece of cardboard is needed? Click here to see answer by nerdybill(6958)

 Question 196349: Hello. I'm having some trouble with the following problem: Find two numbers whose sum is -4 and whose product is -32. Click here to see answer by solver91311(16877)

 Question 196350: Hello. I'm having some trouble with the following problem: Find all values of k that ensure that the given equation has exactly one solution. 10x^2 + kx + 8 = 0 Click here to see answer by solver91311(16877)
 Question 196350: Hello. I'm having some trouble with the following problem: Find all values of k that ensure that the given equation has exactly one solution. 10x^2 + kx + 8 = 0 Click here to see answer by RAY100(1637)

 Question 196347: Hello! I'm having trouble with the following problem. I keep coming up with the answer t^2=61/4 but I don't know what to do further on. Can you help me solve this problem? Suppose an object is dropped from a height h0 above the ground. Then its height after t seconds is given by h = -16t 2 + h0, where h is measured in feet. Use this information to solve the problem. If a ball is dropped from 244 ft above the ground, how long does it take to reach ground level? Click here to see answer by solver91311(16877)

 Question 196360: Hi! I keep getting the incorrect response for this problem on factoring: Solve the equation by factoring. 6x(x - 1) = 12-20x thanks! Click here to see answer by solver91311(16877)

 Question 196392: The Bath Shop is running a special: "Make bath time better for 30 bucks!" Some of the combinations you can buy for \$30 are below. How much does one bubble bath cost? 1 lavender soap, 4 scented candles, 1 bubble bath 5 lavender soaps, 4 scented candles 3 bubble baths, 3 lavender soaps Click here to see answer by ankor@dixie-net.com(15649)

 Question 196426: Please Help, How do I solve this system using the Adding the Equations Method. c+z = 13 2c+4z = 34 The book says the solution is c=9 and z=4 But I keep getting a fraction for c. Thank You Click here to see answer by solver91311(16877)

 Question 196533: Hi! I'm having some difficulty with the following problem using the quadratic formula and finding the answers to "x." Find all solutions of the equation and express them in the form a + bi. x^2+2x+2=0 thanks! Click here to see answer by Alan3354(30993)

 Question 196524: A student averages 84 on five tests. If the student received grades of 84, 82, 81, and 79 on the first four exams, what grade did the student receive on the fifth exam? Click here to see answer by checkley77(12569)

 Question 196532: Hi! I'm having some difficulty with the following problem using the quadratic formula and finding the answers to "x." Find all solutions of the equation and express them in the form a + bi. 4x^2-8x+7=0 thanks! Click here to see answer by Earlsdon(6287)

 Question 196502: Hello! I'm having trouble getting the correct answer for this problem with the quadratic formula. Find all solutions of the equation and express them in the form a + bi. x^2-5x+7=0 thanks! Click here to see answer by ankor@dixie-net.com(15649)

 Question 196492: could you please explain why are the answers to both sides of this equation equal? When N = 1500 100 + 0.05N = 70 + 0.07N Click here to see answer by Alan3354(30993)

 Question 196567: Solve for B in terms of V and h: V=1 over 3 Bh Click here to see answer by checkley77(12569)

 Question 196566: Express as a product of two binomials: 36-x² Click here to see answer by checkley77(12569)

 Question 196581: I keep getting the incorrect answer for this problem of 7.60 ft Can you help me? Grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height. How high is the pile (to the nearest hundredth of a foot) when it contains 1030 ft^3 of grain? thanks! Click here to see answer by Alan3354(30993)

 Question 196582: Hi! I'm having some difficulty with the following problem: If F is the focal length of a convex lens and an object is placed at a distance x from the lens, then its image will be at a distance y from the lens, where F, x, and y are related by the lens equation below. Suppose that a lens has a focal length of 2.1 cm, and that the image of an object is 4 cm closer to the lens than the object itself. How far from the lens is the object? 1/F = 1/x + 1/y thanks! Click here to see answer by jim_thompson5910(28593)
 Question 196582: Hi! I'm having some difficulty with the following problem: If F is the focal length of a convex lens and an object is placed at a distance x from the lens, then its image will be at a distance y from the lens, where F, x, and y are related by the lens equation below. Suppose that a lens has a focal length of 2.1 cm, and that the image of an object is 4 cm closer to the lens than the object itself. How far from the lens is the object? 1/F = 1/x + 1/y thanks! Click here to see answer by stanbon(57332)

 Question 196580: I'm having some difficulty with the following problem. I'm stuck in the middle of this problem. Two television monitors sitting beside each other on a shelf in an appliance store have the same screen height. One has a conventional screen, which is 6 inches wider than it is high. The other has a wider, high-definition screen, which is 1.8 times as wide as it is high. The diagonal measure of the wider screen is 10 inches more than the diagonal measure of the smaller. What is the height of the screens, correct to the nearest 0.1 inch? thanks! Click here to see answer by stanbon(57332)

 Question 196609: this is a story problem. Figures for the summer of 1998 showed that the movie Saving Private Ryan had U.S. box-office receipts of \$190 million. What were the production costs to make the movie if, at that time, the studio had made a \$125 million profit? Click here to see answer by vleith(2825)

 Question 196634: On the following I always get a no solutions answer, but its noted that their are real solutions in this problem. Can you help me? Find all real solutions of the equation. (Round your answer to two decimal places. If there are extra answer boxes, enter NONE in the last boxes.) 3 / (x - 3) + 6 / (x^2) = 0 thanks! Click here to see answer by jim_thompson5910(28593)

 Question 196647: I keep getting the incorrect answer to the following problem, I'm not sure where my error was, can you help me? One method for determining the depth of a well is to drop a stone into it and then measure the time it takes until the splash is heard. If d is the depth of the well (in feet) and t1 the time (in seconds) it takes for the stone to fall, then d = 16t1^2, so t1 = √d/4. Now if t2 is the time it takes for the sound to travel back up, then d = 1090t2 because the speed of sound is 1090 ft/s. So t2 = d/1090. Thus, the total time elapsed between dropping the stone and hearing the splash is given by the following equation. t1 + t2 = √d/4 + d/1090 How deep is the well if this total time is 2.3 s? (Round the answer to the nearest whole number.) thanks! Click here to see answer by jim_thompson5910(28593)
 Question 196647: I keep getting the incorrect answer to the following problem, I'm not sure where my error was, can you help me? One method for determining the depth of a well is to drop a stone into it and then measure the time it takes until the splash is heard. If d is the depth of the well (in feet) and t1 the time (in seconds) it takes for the stone to fall, then d = 16t1^2, so t1 = √d/4. Now if t2 is the time it takes for the sound to travel back up, then d = 1090t2 because the speed of sound is 1090 ft/s. So t2 = d/1090. Thus, the total time elapsed between dropping the stone and hearing the splash is given by the following equation. t1 + t2 = √d/4 + d/1090 How deep is the well if this total time is 2.3 s? (Round the answer to the nearest whole number.) thanks! Click here to see answer by Alan3354(30993)

 Question 196642: Hi I'm having a hard time figuring out the answer to this problem: Grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height. How high is the pile (to the nearest hundredth of a foot) when it contains 1030 ft^3 of grain? Thanks! Click here to see answer by ankor@dixie-net.com(15649)