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solver91311 answered: 16860 problems
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Numbers_Word_Problems/346683: one integer is three more than another integer. The sum of the two integers is forty-seven. Find the integers 1 solutions Answer 247873 by solver91311(16872)   on 2010-09-22 13:08:22 (Show Source): You can put this solution on YOUR website! Let represent the second integer. Then must represent the first integer. Their sum is 47, so: Solve for to get one, add three to the result to get the other. John My calculator said it, I believe it, that settles it

percentage/346685: Can someone help me and show me how to do this ]1.$1000 at 8% for 5 years 1 solutions Answer 247872 by solver91311(16872)   on 2010-09-22 13:05:31 (Show Source): You can put this solution on YOUR website! Simple or compound interest? If compound, how frequently? John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/346687: If 10 to y is is 3 to 5. what is y? 1 solutions Answer 247871 by solver91311(16872)   on 2010-09-22 13:03:50 (Show Source): You can put this solution on YOUR website! Cross multiply and then solve for John My calculator said it, I believe it, that settles it

percentage/346686: Can someone help me and show me how to do this. $5000 at 10% at 3 years 1 solutions Answer 247870 by solver91311(16872)   on 2010-09-22 13:01:51 (Show Source): You can put this solution on YOUR website! Simple or compound interest? If compounded, how frequently? John My calculator said it, I believe it, that settles it

Linear-systems/346674: Apologies- error was found on on last question that was emailed: Correct problems is: 3x+5y+4z=13 5x+2y+3z=-9 6x+3y+4z=-8 Thanks 1 solutions Answer 247868 by solver91311(16872)   on 2010-09-22 13:00:26 (Show Source): You can put this solution on YOUR website! Do you just want the answer, or do you need the steps of procedure for some particular method of solving it? I used Cramer's Rule. Where the determinant of a 3X3 matrix is: Using MS Excel to calculate the determinants, I got: Hence John My calculator said it, I believe it, that settles it

Surface-area/346666: Determine how many square inches of surface area would be found on a cylinder 20 inches high wwith a diameter of 8 inches 1 solutions Answer 247862 by solver91311(16872)   on 2010-09-22 12:22:29 (Show Source): You can put this solution on YOUR website! Surface area of a right circular cylinder is the Lateral Surface Area plus the area of the two bases. The lateral surface area of a cylinder is the circumference of the base times the height, or: and So Remember, the radius of the base is one-half of the given diameter. John My calculator said it, I believe it, that settles it

Numbers_Word_Problems/346665: The larger of two numbers is 4 less than five times the smaller. When the smaller number is subtracted from the larger, The difference is 4 Find the two numbers. 1 solutions Answer 247858 by solver91311(16872)   on 2010-09-22 11:46:30 (Show Source): You can put this solution on YOUR website! Let represent the larger number. Let represent the smaller number. The given relationships are: Solve the system. Either the substititution or elimination methods work very tidily on this system. John My calculator said it, I believe it, that settles it

test/346660: Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern. –9, –4, 1, 6, 1 solutions Answer 247857 by solver91311(16872)   on 2010-09-22 11:42:02 (Show Source): You can put this solution on YOUR website! The next number in the series is simply 5 more than the previous number. John My calculator said it, I believe it, that settles it

Radicals/346530: Find all real solutions x^6+7x^3-8=0 1 solutions Answer 247753 by solver91311(16872)   on 2010-09-22 00:31:17 (Show Source): You can put this solution on YOUR website! This one needs a convenient substitution. Let Factors: Hence and Factor the sum of two cubes: So or Use the quadratic formula: Summarizing so far we have three roots: but only one of them is real. Now all you have left to do is to solve by factoring the difference of two cubes and then applying the quadratic formula to the quadratic factor and taking the real root directly from the linear factor. Sum and Difference of Cubes Discard any complex roots. John My calculator said it, I believe it, that settles it

Money_Word_Problems/346516: I would like to how much money did I start out with if I took 1/5th from the total, 1/4th from that, 1/3rd from that and 1/2 from that. I end up with $12.00 remaining. X-1/5-1/4-1/3-1/2=$12.00. 1 solutions Answer 247751 by solver91311(16872)   on 2010-09-21 23:58:18 (Show Source): You can put this solution on YOUR website! 12 is 1/2 of what was left before the last step, so just before the last step, 24 24 is 3/2 of what was left before the next to the last step, so 36 36 times 4/3 is 48 and 48 times 5/4 is 60 John My calculator said it, I believe it, that settles it

Probability-and-statistics/346362: If the electricity goes out and a clock stops, what is the probability that the second had stops between 2 and 3? 1 solutions Answer 247684 by solver91311(16872)   on 2010-09-21 19:55:09 (Show Source): You can put this solution on YOUR website! There are 12 spaces on the clock face identically sized to the space between the 2 and the 3. So there are 12 ways the thing can happen and 1 way that you would consider a success. John My calculator said it, I believe it, that settles it

Triangles/346385: the degree measures of the acutes angles of an equilateral triangle are represented by x+12, 3x-8, and 2x+2. What is the measure of each side of the triangle? 1 solutions Answer 247671 by solver91311(16872)   on 2010-09-21 19:25:18 (Show Source): You can put this solution on YOUR website! Something is very wrong with the way you stated your problem. The degree measure of any of the angles of an equilateral triangle is . So how could the degree measures of your three angles be equal to three different expressions? would have to have a different value in each of the expressions. Be that as it may, whether an equilateral triangle has sides that measure 3 Angstroms or 3 light-years, the angles are still exactly , hence knowing the measure of the angles tells you nothing about the measure of the sides. John My calculator said it, I believe it, that settles it

Travel_Word_Problems/346282: How far does a car go in 5 seconds while moving with an average velocity of 25m/s north? 1 solutions Answer 247639 by solver91311(16872)   on 2010-09-21 17:01:06 (Show Source): You can put this solution on YOUR website! If the velocity is 25 meters per second, then for each second of travel time the car will move 25 meters. John My calculator said it, I believe it, that settles it

Triangles/346283: the area of a triangle is 48 square inches, and its height is 16 inches. find the base of the triangle? 1 solutions Answer 247637 by solver91311(16872)   on 2010-09-21 16:57:36 (Show Source): You can put this solution on YOUR website! Multiply the area by 2 then divide the result by 16. John My calculator said it, I believe it, that settles it

Geometry_proofs/346269: If the statement is M is the midpoint of line segment AB what would be the reasoning? 1 solutions Answer 247636 by solver91311(16872)   on 2010-09-21 16:56:37 (Show Source): You can put this solution on YOUR website! That would depend on the circumstances under which you determined that M is in fact the midpoint of AB. Is it a given fact? Is it a midpoint because the coordinates of M are the average of the corresponding coordinates of A and B? Were you told that some segment containing M is a bisector of AB? I can't possibly guess what your figure looks like or what other information you have. So I can't help you, and, given the paucity of information provided, I would wager a goodly sum that no one else can either. John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/346275: If a = 9c^2 + 4 and b = 7 + 3c, what is a in terms of b? Step by step please with formula used to solve. 1 solutions Answer 247632 by solver91311(16872)   on 2010-09-21 16:50:19 (Show Source): You can put this solution on YOUR website! Step 1: Solve your second equation for in terms of Step 2: Substitute the expression containing into the first equation in place of Step 3: Simplify. John My calculator said it, I believe it, that settles it

Rectangles/346276: a sheet of paper is 11 inches long to determine the length in centimeters, you would multiply 11 inches by what 1 solutions Answer 247629 by solver91311(16872)   on 2010-09-21 16:47:32 (Show Source): You can put this solution on YOUR website! 2.54

Distributive-associative-commutative-properties/346272: Insert parentheses to make the statement true: 2-3-4+1=4 Thank you! 1 solutions Answer 247628 by solver91311(16872)   on 2010-09-21 16:46:24 (Show Source): You can put this solution on YOUR website! John My calculator said it, I believe it, that settles it

Surface-area/346258: what is the surface area in square centimeters of this triangular prism with the given dimensions? measures are: h=3cm w=5cm l=10cm include full process please 1 solutions Answer 247624 by solver91311(16872)   on 2010-09-21 16:37:41 (Show Source): You can put this solution on YOUR website! Sorry, the answer cannot be derived from the given information. There is no way to determine the actual shape of the triangle end of your prism. It is certainly not equilateral, but it could be isosceles with legs measuring (which gives a lateral surface area of about 128 sq cm or a total surface area of roughly 143 sq cm) or a right triangle with a short leg of 3 and hypotenuse (which gives a lateral surface area of about 138 sq cm or a total surface area of roughly 153 sq cm), or some other non-standard shape. John My calculator said it, I believe it, that settles it

Numbers_Word_Problems/346263: mr. green had 6 yards 9 inches of flower bed edging. he cut it into 5 pieces of the same length. how long was each piece? 1 solutions Answer 247616 by solver91311(16872)   on 2010-09-21 16:24:37 (Show Source): You can put this solution on YOUR website! Why submit the same question twice?

Numbers_Word_Problems/346262: mr. green had 6 yards 9 inches of flower bd edging, he cut it into 5 pieces of the same length. hoe long was each piece? 1 solutions Answer 247615 by solver91311(16872)   on 2010-09-21 16:24:00 (Show Source): You can put this solution on YOUR website! Why submit the same question twice?

Probability-and-statistics/346244: 2. A machine has twelve identical components that function independently. It will stop working if three or more of the components fail. If the probability that an individual component fails is 0.11, find the probability that the machine will be working. 1 solutions Answer 247613 by solver91311(16872)   on 2010-09-21 16:19:19 (Show Source): You can put this solution on YOUR website! The probability of successes in trials where is the probability of success on any given trial is given by: Where is the number of combinations of things taken at a time and is calculated by But what you need is the probability that there are no more than 2 failed components. Hence you need the probability of exactly 0 plus the probability of exactly 1 plus the probability of exactly 2. Which is to say: I'll leave you alone to spend some nice quality time with your calculator. John My calculator said it, I believe it, that settles it

Money_Word_Problems/346238: 8. The finance director purchases weight lifting equipment for the guards’ exercise room. Shipping is calculated as 8% of the purchase price. If the finance director has $1500 to spend between the purchase price and the cost of shipping, how much can the finance director spend on equipment? 1 solutions Answer 247590 by solver91311(16872)   on 2010-09-21 15:41:58 (Show Source): You can put this solution on YOUR website! Let represent the cost of the equipment. Then: Solve for . You should round to the nearest cent. John My calculator said it, I believe it, that settles it

Parallelograms/346241: The measure of is three times the measure of , and the measure of is three times the measure of . If and are complementary, find the measure of . Show all your work to receive credit. 1 solutions Answer 247588 by solver91311(16872)   on 2010-09-21 15:39:01 (Show Source): You can put this solution on YOUR website! Pardon me, this is Algebra.com, not the Psychic Hot Line. Put in the complete question and perhaps someone can help you. John My calculator said it, I believe it, that settles it

Linear_Equations_And_Systems_Word_Problems/346149: Mario earned three times as much money last year as his wife Elena. The total amount that the two earned was $11,000. How much money did Elena earn? 1 solutions Answer 247512 by solver91311(16872)   on 2010-09-21 12:10:00 (Show Source): You can put this solution on YOUR website! If Mario earned 3 parts and Elena earned 1 part, that is 4 parts. Divide 11,000 by 4. John My calculator said it, I believe it, that settles it

Linear-systems/346148: Solve the system of equations by graphing. Then classify the system as consistent or inconsistent and as dependent or independent. 9x-4y=-24 4y-9x=24 What is the solution of the system of equations? A. Infinite many solutions B. No solution C. A point Is the system consistent or inconsistent? Are the equations dependent or independent? 1 solutions Answer 247511 by solver91311(16872)   on 2010-09-21 12:06:29 (Show Source): You can put this solution on YOUR website! Start with either one of your equations. Step 1. Pick a value for x. It can be anything you like, but 0, 1, or some other small integer usually works well and makes the arithmetic easier. Step 2. Substitute that value in place of x in your equation. Do the arithmetic and determine the value of y that results. Step 3. Take the value of x that you selected for step 1 and the value of y that you calculated in step 2 and form an ordered pair (x,y). Step 4. Plot the ordered pair from Step 3 on your graph. Remember that the x value is the distance right or left along the horizontal axis and the y value is the distance up or down along the vertical axis. Step 5. Repeat steps 1 through 4 with a different value for x. Step 6. Draw a line across your graph that passes through the two points that you plotted. Step 7. Repeat steps 1 through 6 using the other equation. The point where the lines intersect is the solution, because the coordinates of that point will satisfy (read: make true) both of your equations. You need to determine, by inspection of the graph, what the coordinates of that point are and report your answer as an ordered pair, (x,y), using those coordinates. To check your answer, you should substitute this set of coordinates into each of your original equations and verify that you have a true statement for each of the equations. If both lines graph to the same line, then the solution set is infinite, i.e. every ordered pair that satisfies one equation will satisfy the other. If the lines are parallel, then the solution set is empty. A consistent system has at least one solution. An inconsistent system has no solutions. An independent system has exactly one solution. A dependent system has infinitely many solutions. Therefore a system can be either consistent and independent, consistent and dependent, or inconsistent. John My calculator said it, I believe it, that settles it

Probability-and-statistics/345810: Assuming that the proportion of babies born on either Saturday or Sunday is 0.257, estimate the probability that a baby will be born during a weekday. That is, not on Saturday or Sunday. 1 solutions Answer 247291 by solver91311(16872)   on 2010-09-20 18:44:20 (Show Source): You can put this solution on YOUR website! Subtract 0.257 from 1. John My calculator said it, I believe it, that settles it

Numbers_Word_Problems/345818: Can 63 be less then 63?? Example: 63<63 1 solutions Answer 247289 by solver91311(16872)   on 2010-09-20 18:43:23 (Show Source): You can put this solution on YOUR website! No, not so long as they are the same number base. John My calculator said it, I believe it, that settles it

Equations/345813: what is b+2(b+5)=3(b-1)+13 1 solutions Answer 247288 by solver91311(16872)   on 2010-09-20 18:42:13 (Show Source): You can put this solution on YOUR website! It is a single variable linear equation. John My calculator said it, I believe it, that settles it

Expressions-with-variables/345814: 2m-nx=x+4 solve for x work needed 1 solutions Answer 247287 by solver91311(16872)   on 2010-09-20 18:41:21 (Show Source): You can put this solution on YOUR website! Add -x to both sides Add -2m to both sides Multiply both sides by -1 Factor x out of the LHS Divide both sides by n + 1 John My calculator said it, I believe it, that settles it

Human-and-algebraic-language/345817: A number, 1/2 of that number and 1/3 of that number added. The result is 22.what is the original number. 1 solutions Answer 247284 by solver91311(16872)   on 2010-09-20 18:39:02 (Show Source): You can put this solution on YOUR website! Solve for . John My calculator said it, I believe it, that settles it