Algebra ->  Tutoring on algebra.com -> See tutors' answers!      Log On

 Tutoring Home For Students Tools for Tutors Our Tutors Register Recently Solved
 By Tutor
| By Problem Number |

Tutor:

# Recent problems solved by 'solver91311'

 Money_Word_Problems/605481: I've been trying to figure this one out for a while now.. Find the accumulated amount A if the principal P is invested at the interest rate of r/year for t yr. (Round your answer to the nearest cent.) P = $1000, r = 5%, t = 6.5, compounded semiannually Can you also tell me what formula you used? Thanks1 solutions Answer 381712 by solver91311(17077) on 2012-04-30 19:24:23 (Show Source): You can put this solution on YOUR website! Where is the future value, is the present value, is the annual interest rate expressed as a decimal, is the number of compounding periods per year (semi-annual = 2), and is the number of years. Plug in your values and do the arithmetic. John My calculator said it, I believe it, that settles it  Inequalities/605479: My daughter has this problem for school. I am trying to help but it has been awhile for me. Please show the work for the problem so I can understand how to explain to her how to complete the problem on her own. (x-1)/(5)-(x+2)/(6)>= 7/15 I know the answer is 30 but for the life of my can't get the work to work out right for me. Thansk.1 solutions Answer 381710 by solver91311(17077) on 2012-04-30 19:18:49 (Show Source): You can put this solution on YOUR website! Five times six is 30 and six times five is 30 and fifteen times 2 is 30, so: Multiply by 30 John My calculator said it, I believe it, that settles it  Probability-and-statistics/605438: In a particular neighborhood of 60 homes, 35 of the homes have children, 22 have pets and 15 have both. What is the probability that a random selected home in the neighborhood will A. have children or pets. B. Have neither children nor pets.1 solutions Answer 381708 by solver91311(17077) on 2012-04-30 18:58:35 (Show Source): You can put this solution on YOUR website! If 35 have children and 15 have both pets and children then 35 minus 15 = 20 have only children. Likewise, 7 have only pets. So, 20 + 15 + 7 = 42 have either one or both, and 60 - 42 have neither. From those values you can calculate either question A or question B. Once you have either one, the probability of the other is 1 minus the probability of the first. John My calculator said it, I believe it, that settles it  Length-and-distance/605456: If P coordinates are (3,4) and Q (3,3) what is the answer using mid point formula?1 solutions Answer 381703 by solver91311(17077) on 2012-04-30 18:51:26 (Show Source): You can put this solution on YOUR website! and where and are the coordinates of the given points. John My calculator said it, I believe it, that settles it  Numeric_Fractions/605404: 2 1/4 + 1 5/8 i forgot how to convert the fractions, can u show me?1 solutions Answer 381683 by solver91311(17077) on 2012-04-30 16:45:21 (Show Source): You can put this solution on YOUR website! In general, here is the process to convert mixed numbers to improper fractions: Let represent the whole number part of the mixed number, let represent the denominator of the fraction part, and let represent the numerator part of the fraction part, then the improper fraction equivalent of the mixed number is: In other words, multiply the denominator of the fraction part times the whole number part and add the product to the numerator. For example: Four times two is eight plus one is nine -- nine is the new numerator and the denominator remains the same. John My calculator said it, I believe it, that settles it  Coordinate-system/605405: solve the system of equations by graphing the equations on the same set of axes: {x-2y=-7 {3x+2y=31 solutions Answer 381679 by solver91311(17077) on 2012-04-30 16:35:03 (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  Travel_Word_Problems/605363: The current in a circuit varies inversely as the resistance. The current is 20 amperes when the resistance is 5 ohms. Find the current for a resistance of 16 ohms.1 solutions Answer 381656 by solver91311(17077) on 2012-04-30 14:27:48 (Show Source): You can put this solution on YOUR website! Substitute 20 for I and 5 for r, then solve for k. Once you know k, you can get any I for any given r or vice versa. John My calculator said it, I believe it, that settles it  Triangles/605351: a triangle contains two angles having measures of 98 and 42.find the measure of the third angle1 solutions Answer 381655 by solver91311(17077) on 2012-04-30 14:25:51 (Show Source): You can put this solution on YOUR website! The sum of the measures of the internal angles of any triangle is John My calculator said it, I believe it, that settles it  Rectangles/605301: Find the length of a diagonal of a rectangle if the length of the rectangle is 24 cm and its width is 10 cm.1 solutions Answer 381640 by solver91311(17077) on 2012-04-30 12:37:12 (Show Source): You can put this solution on YOUR website! The diagonal of a rectangle is the hypotenuse of a right triangle where the length and width of the rectangle are the legs of the triangle. Use Pythagoras. John My calculator said it, I believe it, that settles it  Surface-area/605297: Find the area of a rectangle if one side is 20 km and other side is 25.5 km1 solutions Answer 381639 by solver91311(17077) on 2012-04-30 12:35:31 (Show Source): You can put this solution on YOUR website! Area of a rectangle is length times width. John My calculator said it, I believe it, that settles it  Linear-systems/605318: graph -5x-40y=-301 solutions Answer 381638 by solver91311(17077) on 2012-04-30 12:34:37 (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. John My calculator said it, I believe it, that settles it  Numbers_Word_Problems/605304: which two numbers can I multiply and 5050 and when I subtract those two numbers I get 0.5?1 solutions Answer 381637 by solver91311(17077) on 2012-04-30 12:33:16 (Show Source): You can put this solution on YOUR website! Sorry, but you have to be able to communicate in the English language in order to successfully use this site. Your question makes no sense whatsoever. John My calculator said it, I believe it, that settles it  Functions/605317: What is the slope of the line passing through (-3, 5) and (5, -3)?1 solutions Answer 381636 by solver91311(17077) on 2012-04-30 12:31:24 (Show Source): You can put this solution on YOUR website! Use the slope formula: where and are the coordinates of the given points. John My calculator said it, I believe it, that settles it  Pythagorean-theorem/605314: Im working with a perfect cube. The height, width, and length are all represented by the term x. Im trying to find the length of the diagonal from the top corner of the cube to the opposite bottom corner of the cube. The dimensions for this triangle is a height of x, a base of x times the sqaure root of 2. I know the diagonal is x times the square root of three. What Im wondering is why, and how do I get that answer.1 solutions Answer 381635 by solver91311(17077) on 2012-04-30 12:29:43 (Show Source): You can put this solution on YOUR website! In order to get the diagonal of one face you applied the Pythagorean theorem to the triangle formed by two sides on one face and the diagonal on that face. Now create another right triangl where the legs are and and use Pythagoras to find the hypotenuse of this triangle which will be your desired diagonal. John My calculator said it, I believe it, that settles it  Travel_Word_Problems/605313: Sarah drives from Chicago to Peoria, a distance of 180 miles. The distance the car is from Chicago is d=|180-50t| if the car averages 50 miles per hour. How much longer after the car starts will the car be 80 miles from Peoria? |180-50t|=80 ?? My answer seems too long and not right... |180-50t|=80-180 50t=|-100| t=|-100/50| t= |-2| or t=21 solutions Answer 381633 by solver91311(17077) on 2012-04-30 12:23:01 (Show Source): You can put this solution on YOUR website! I'm not so sure that I would hang my hat on your algebra techniques, but you did get the right answer. I don't quite understand why you thought you needed to set this up as an absolute value problem unless Peoria was an intermediate stop and you wanted to know the two different times that she would be 80 miles distant from Peoria (The first time being when she had 80 miles remaining of the 180 mile trip and the second being 1 hour and 36 minutes after she had passed Peoria). Assuming, as one would ordinarily do when told that Person 1 is driving from point A to point B, that the person stops when they get to point B, then you have no reason to use the absolute value function since, given that she stops when she gets to Peoria, the largest value that the quantity 50t can assume is 180 miles, and therefore the expression 180 - 50t can never be less than zero. With that assumption in mind, if she only has 80 miles to go, then she has traveled 100 miles and 100 miles divided by 50 mph is 2 hours. . If you actually were interested in the next time that she would be 80 miles from Peoria if she had continued on through, then: Hence which we solved above, or hours or 5 hours and 12 minutes after leaving Chicago, which I will leave as an exercise for the student to verify is 1 hour and 36 minutes after passing through Peoria. John My calculator said it, I believe it, that settles it  Miscellaneous_Word_Problems/605307: how many 1 and 2/3 yard lengths of wire can be cut from 25 yards of wire 1 solutions Answer 381629 by solver91311(17077) on 2012-04-30 12:06:36 (Show Source): You can put this solution on YOUR website! Divide 25 by Which is to say multiply 25 times John My calculator said it, I believe it, that settles it  Age_Word_Problems/605308: Needing to write an equation that models how old in years each of two people will be ages 30,36 when their ages add up to 150? Following this is finding the answer to; at some point during the lives of you and the youngest person (12) your age (30) will be three times his/her age at that moment? Equation is to model how old we will be when we are three times as old as the younger person? needing explanation how, to equate...1 solutions Answer 381627 by solver91311(17077) on 2012-04-30 12:04:31 (Show Source): You can put this solution on YOUR website! Solve for , then calcualte and John My calculator said it, I believe it, that settles it  Rectangles/605310: find the length and width of a rectangle if the perimeter is 54 and the length is 8 times the width1 solutions Answer 381626 by solver91311(17077) on 2012-04-30 12:01:36 (Show Source): You can put this solution on YOUR website! If a rectangle with perimeter has a length that is units longer (or shorter if ) than times the width, , Then knowing that the Perimeter is given by: , make the substitution: Then solve for For your problem: , , and . Do the arithmetic. John My calculator said it, I believe it, that settles it  Coordinate-system/605311: I am trying to solve the sytem of equations by graphing the equations on the same set of axes: {y=x-4 {y=2x-51 solutions Answer 381624 by solver91311(17077) on 2012-04-30 11:59:08 (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  Number-Line/604516: locate root 5 on number line1 solutions Answer 381239 by solver91311(17077) on 2012-04-28 01:06:00 (Show Source): You can put this solution on YOUR website! Root 4 is 2 and root 9 is 3 so root 5 has to be somewhere between 2 and 3. 5 is closer to 4 than to 9, so root 5 has to be closer to 2 than to 3. Put 5 in your calculator and press the square root key, then find a spot between 2 and 3 that looks like it might represent the calculator result. John My calculator said it, I believe it, that settles it  Rate-of-work-word-problems/604484: What does "x" stand for in this equation? x/-6=-1 What does "x" stand for in this equation? x/5=-7 What does "x" stand for in this equation? x/2=71 solutions Answer 381238 by solver91311(17077) on 2012-04-28 01:02:41 (Show Source): You can put this solution on YOUR website! In each case, multiply both sides of the equation by the denominator of the fraction. John My calculator said it, I believe it, that settles it  Permutations/604518: Janet sits on the 7th chair from each end of a row. How many chairs are there in a row?1 solutions Answer 381237 by solver91311(17077) on 2012-04-28 01:00:05 (Show Source): You can put this solution on YOUR website! There must be 6 chairs on either side of her, so 6 plus 1 plus 6. John My calculator said it, I believe it, that settles it  Money_Word_Problems/604494: Find the amount of compound interest earned in an account that opens with$27,000, earns 2.5% interest compounded daily, and is held for 5 years. Assume 360 days in a year1 solutions Answer 381236 by solver91311(17077)   on 2012-04-28 00:58:42 (Show Source): You can put this solution on YOUR website! Just do the arithmetic. John My calculator said it, I believe it, that settles it