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Age_Word_Problems/428255: 30 years hence a man will be twice as old as he will be 3 years hence. How old is he now? 1 solutions Answer 297792 by ankor@dixie-net.com(15647)   on 2011-03-28 21:23:09 (Show Source): You can put this solution on YOUR website! Let n = man's present age : Just write an equation for what it says: "30 years hence a man will be twice as old as he will be 3 years hence." n + 30 = 2(n + 3) n + 30 = 2n + 6 30 - 6 = 2n - n n = 24 yrs is his present age : : Check this in the original statement: 24 + 30 = 2(24 + 3) 54 = 2(27)

Trigonometry-basics/428258: A farmer wants to enclose two adjacent rectangular regions next to a river, one sheep and one for cattle. No fencing is needed next to the river, but fencing must be used to divide the sheep pen for the cattle pen. The farmer has 60 meters of fencing in all. What is the area of the largest region that can be enclosed? 1 solutions Answer 297750 by ankor@dixie-net.com(15647)   on 2011-03-28 19:12:21 (Show Source): You can put this solution on YOUR website! A farmer wants to enclose two adjacent rectangular regions next to a river, one sheep and one for cattle. No fencing is needed next to the river, but fencing must be used to divide the sheep pen for the cattle pen. The farmer has 60 meters of fencing in all. What is the area of the largest region that can be enclosed? : From the information given, we will need 3 widths and 1 length : L + 3W = 60 L = (60-3W) ; Area A = L*W Replace L with (60-3W) A = W(60-3W) A = -3W^2 + 60W max area occurs at the axis of symmetry, (x=-b/(2a)), in this equation a=-3, b=60 W = W = + 10 meters is the width Find the Length 60 - 3(10) = 30 meters is the length : Max area: 30 * 10 = 300 sq/meters

Money_Word_Problems/427889: You have $100 and you want to spend all of it to buy exactly 100 pets- any combination of hamsters, birds, and fish. Hamsters cost $5 each, brids are $10, and fihes are 50cent each. How many of each kind of pet should you buy? 1 solutions Answer 297742 by ankor@dixie-net.com(15647)   on 2011-03-28 18:34:20 (Show Source): You can put this solution on YOUR website! You have $100 and you want to spend all of it to buy exactly 100 pets- any combination of hamsters, birds, and fish. Hamsters cost $5 each, birds are $10, and fishes are 50 cents each. How many of each kind of pet should you buy? : No. of pets equation h + b + f = 100 : Cost equation: 5h + 10b + .5f = $100 Multiply the above equation by 2, subtract the 1st equation: : 10h + 20b + f = 200 h + b + f = 100 ------------------------ subtraction eliminates f 9h + 19b = 100 9h = -19b + 100 divide by 9 h = b + Just looking at this equation, it is apparent there is only one positive integer solution: b = 1 bird then h = (1) + h = h = 9 hamsters then f = 90 fish ; : Check: 5(9) + 10(1) + 90(.5) = 45 + 10 + 45 = $100

Age_Word_Problems/428147: The Faber Family has 3 children. Bill's age plus Mike's age add to 20 years. Mike's agee plus Sally's age add to 29 years. Bill's age plus Sally's age add to 23 years. The difference in age between the old child and young child is what? 1 solutions Answer 297712 by ankor@dixie-net.com(15647)   on 2011-03-28 16:55:19 (Show Source): You can put this solution on YOUR website! The Faber Family has 3 children. : Write an equation for each statement: : Bill's age plus Mike's age add to 20 years. b + m = 20 : Mike's age plus Sally's age add to 29 years. m + s = 29 : Bill's age plus Sally's age add to 23 years. b + s = 23 b = (-s + 23) : In the 1st equation, replace b wtih (-s + 23) (-s + 23) + m = 20 -s + m = 20 - 23 -s + m = -3 : Add the above equation to the 2nd equation -s + m = -3 s + m = 29 -------------- addition eliminates s, find m 2m = 26 m = 13 yrs is Mike's age then b + 13 = 20 b = 20 - 13 b = 7 yrs is Bill's age and 7 + s = 23 s = 23 - 7 s = 16 is Sally's age : " The difference in age between the old child and young child is what? 16 - 7 = 9 yrs is the diff from oldest and youngest

Quadratic_Equations/428164: Determine the quadratic equation with integral coefficients having the roots: 3/2 and -1/2 1 solutions Answer 297700 by ankor@dixie-net.com(15647)   on 2011-03-28 16:23:09 (Show Source): You can put this solution on YOUR website! Determine the quadratic equation with integral coefficients having the roots: 3/2 and -1/2 3/2, can be derived from the factor: (2x-3) -1/2, can be derived from a factor: (2x+1) : FOIl (2x-3)(2x+1) = 4x^2 + 2x - 6x - 3 = (4x^2 - 4x - 3) is the equation

Numeric_Fractions/428061: I note in Excel that typing, in a cell =3^.1 gives the result of 1.11623. My question is, what is a step-by-step method of replicating that answer without using the built in power operator (^). 1 solutions Answer 297664 by ankor@dixie-net.com(15647)   on 2011-03-28 14:09:27 (Show Source): You can put this solution on YOUR website! I note in Excel that typing, in a cell =3^.1 gives the result of 1.11623. My question is, what is a step-by-step method of replicating that answer without using the built in power operator (^). : You could use logs log(3^.1) : using the log equiv of exponents .1*log(3) : Find the log of 3 and multiply .1*.47712125 = .047712125 : Find the antilog (10^-1 on a calc) of this value and you will get 1.116123, the same value

Age_Word_Problems/428072: i am 10 years old my father is 2 times older than my brother my mom is 10 years younger and my brother is 20 how old in my mother 1 solutions Answer 297660 by ankor@dixie-net.com(15647)   on 2011-03-28 13:47:38 (Show Source): You can put this solution on YOUR website! I am 10 years old. I = 10 : My father is 2 times older than my brother. f = 2b : My mom is 10 years younger and my brother is 20. m = f - 10 b = 20 ; How old in my mother? f = 2(20) f = 40 and m = 40 - 10 m = 30 : It must be a half-brother, if mom is 30

Trigonometry-basics/428038: two masts are 20 m and 12 m high.if the line joining their tops make an angle of 35 degree with the horizontal find their distance apart 1 solutions Answer 297614 by ankor@dixie-net.com(15647)   on 2011-03-28 10:06:49 (Show Source): You can put this solution on YOUR website! two masts are 20 m and 12 m high.if the line joining their tops make an angle of 35 degree with the horizontal; find their distance apart. : Draw this out, you can see a right triangle is is formed by the horizontal line between the poles, the line drawn between the tops of the poles (hypotenuse) and a side of 8', the difference in the height of the poles. : Find the interior angle formed by the line joining the tops 90 - 35 = 55 degrees : Use the tangent which is the side opposite/side adjacent. : Side adjacent = 8', find side opposite (d) (horizontal dist between the poles) tan(55) = 1.428 = d = 1.428 * 8 d = 11.425 ft between the poles

test/427945: In the diagram of triangle ABC shown below, BC=10 and AB=16. To the nearest tenth of a degree,what is the measure of the largest acute angle in the triangle? *There's a right triangle. The top point is B; B slants to A making it equal to 16. A in the bottom right hand corner is with C. C which is where the 90 degree angle is goes to B which is 10. Please help and thank you so much. 1 solutions Answer 297611 by ankor@dixie-net.com(15647)   on 2011-03-28 09:38:27 (Show Source): You can put this solution on YOUR website! In the diagram of triangle ABC shown below, BC=10 and AB=16. To the nearest tenth of a degree,what is the measure of the largest acute angle in the triangle? : Let's assume that B is the larger acute angle then BC = side adjacent AB = hypotenuse : Using the Cosine which is side adjacent/hypotenuse Cos(B) = Using a calc Cos-1: B = 51.3178 degrees : Find the 3rd angle (A) to prove this is the largest acute angle 180 - 90 - 51.3 = 38.7

Polynomials-and-rational-expressions/427739: please help, I have been trying to figure this out need to simplify and rewrite without negative or zero exponents e^-2/(m^2)^2c^-3 its writen with e^-2 on top then a line and then the others on bottom. I'm thinking its division? 1 solutions Answer 297596 by ankor@dixie-net.com(15647)   on 2011-03-28 08:13:07 (Show Source): You can put this solution on YOUR website! need to simplify and rewrite without negative or zero exponents the reciprocal of the term gets rid of the neg exponent when you raise one power to another power you multiply the exponents

Travel_Word_Problems/427726: Jake has a Car with an 8-Gallon fuel tank. Jake fills his tank with gas and then drives 60 miles to a friend's house. when he gets to his friend's house he has 6 gallons left in his fuel tank. how many miles can jake travel on a full tank of gas? I have tried it several ways: 8*60 and 6*60/2 but i'm sure that those wont give me the full tank amount. Any help would be appreciated, thanks. 1 solutions Answer 297532 by ankor@dixie-net.com(15647)   on 2011-03-27 21:50:44 (Show Source): You can put this solution on YOUR website! Jake has a Car with an 8-Gallon fuel tank. Jake fills his tank with gas and then drives 60 miles to a friend's house. when he gets to his friend's house he has 6 gallons left in his fuel tank. how many miles can jake travel on a full tank of gas? : First find out how many miles he gets from 1 gal. If he travels 60 mi and uses 2 gal, (6 gal left) then = 30 mi on 1 gal of gas. then on a full tank of 8 gal he can go; 8 * 30 = 240 mi

Exponents-negative-and-fractional/427789: I am working on exponents and have a couple of questions. 1) Solve -r^-2 if r=-3 I know the answer is -1/9 but I don't understand why it is a negative. I thought the negative symbol in the problem and the negative symbol on the 3 would cancel each other out and make it a positive. 2) What is the difference between the following three probs. I am just not understanding what to do about the - sign and when to do it! -5^-3 (-5)^-3 -(5)^3 I was not sure how to show the exponents and someone told me to use the ^ symbol so I did. Hope it makes sense. I am stuck!! Thank you. 1 solutions Answer 297529 by ankor@dixie-net.com(15647)   on 2011-03-27 21:46:25 (Show Source): You can put this solution on YOUR website! 1) Solve -r^-2 if r=-3 Replace r with -3 and write it like this in your calc: -(-3)^-2, you will get -.1111 which is Because if you thought of it as -(*) = -() : 2) What is the difference between the following three probs. I am just not understanding what to do about the - sign and when to do it! -5^-3 (-5)^-3 -(5)^3 : There is no difference in the first two, enter each like it is written into your calc, they will all give the same result, that last one will = -125

test/427748: virgina has a circular rug on her square living room floor as represented in the accompanying diagram. If her living room floor measures 100 square feet, what is the area of the part of the floor covered by the rug? *The diagram is a square with a circle inside it that's shaded. Thank you so much. 1 solutions Answer 297518 by ankor@dixie-net.com(15647)   on 2011-03-27 20:50:27 (Show Source): You can put this solution on YOUR website! virgina has a circular rug on her square living room floor as represented in the accompanying diagram. If her living room floor measures 100 square feet, what is the area of the part of the floor covered by the rug? : Assume the the round rug diameter is the same as one side (s) of the square room s = s = 10 ft, this also the diameter of the rug then r = 5 ft, the radius of the rug : Find the area of the round rug A = A = A = A = 78.54 sq/ft is the area covered by the rug

Polynomials-and-rational-expressions/427759: perform the idicated operation by using the LCD and simplify the result. 5x 3x ____ _ ______ x-7 7-x 1 solutions Answer 297515 by ankor@dixie-net.com(15647)   on 2011-03-27 20:18:19 (Show Source): You can put this solution on YOUR website! perform the indicated operation by using the LCD and simplify the result. - On the 2nd denominator we can factor out -1, - then - 1 changes the sign to + Now the denominators are the same so we have = , is the simplified expression

Rate-of-work-word-problems/427897: Working alone, two painters, A and B, can paint a building in 12 and 16 days respectively. After they work together for 3 days, A leaves and B continues for 2 more days. Then C joins B and they finish the job in 3 more days. In what time could C do the whole job alone? 1 solutions Answer 297510 by ankor@dixie-net.com(15647)   on 2011-03-27 20:07:49 (Show Source): You can put this solution on YOUR website! Working alone, two painters, A and B, can paint a building in 12 and 16 days respectively. After they work together for 3 days, A leaves and B continues for 2 more days. Then C joins B and they finish the job in 3 more days. In what time could C do the whole job alone? : Let c = time required by c to do the job alone : Let the completed job = 1 : From the information we know that A works for 3 days B works 3 + 2 + 3 = 8 days C works 3 days : + + = 1 Reduce the fractions a common denominator of 4 + + = 1 Multiply by 4c to clear the denominators, results: c + 2c + 4(3) = 4c : 3c + 12 = 4c : 12 = 4c - 3c : c = 12 days alone is C's time : : Check this: + + = + + = 1; confirms our solution of 12 days

Miscellaneous_Word_Problems/427814: I have a question that says if Jack can mix 20 drinks in 5 minutes, Lisa can mix 20 drinks in 10 minutes, and Jorge can mix 20 drinks in 15 minutes, How long will it take all three of them to mix 20 drinks. I don't know what equation to put it in to find the answer. Please help. 1 solutions Answer 297493 by ankor@dixie-net.com(15647)   on 2011-03-27 19:07:29 (Show Source): You can put this solution on YOUR website! I have a question that says if Jack can mix 20 drinks in 5 minutes, Lisa can mix 20 drinks in 10 minutes, and Jorge can mix 20 drinks in 15 minutes, How long will it take all three of them to mix 20 drinks. : Here is a simple equation you can use to solve this Let t = time required working all together Let the completed job = 1 (the mixing of 20 drinks) + + = 1 You can clear the denominators by multiplying by 30, and solve for t

Rational-functions/427812: Please help me solve this: The Lesson is: Multiplying and Dividing Rational Expressions The directions say "Simplify each expression" The problem I need help with is: x^2 + 4x - 5 / 18 divided by x^2 - x / 6 -I really dont understand how to do this... 1 solutions Answer 297490 by ankor@dixie-net.com(15647)   on 2011-03-27 19:01:54 (Show Source): You can put this solution on YOUR website! "Simplify each expression" ----------- Remember the rule for dividing fractions,"invert the dividing fraction and multiply" * Factor * : See what you can cancel here, (x-1) and 6 into 18, resulting in: * = , is the simplified expression

Travel_Word_Problems/427802: swimming with the current for 36 minutes, i traveled 1.5 miles. Swimming back to where i started against the current it took 1 hour. what is the rate at which i swam in still water? What is the rate of the current? ----- i cannot figure out how to start this problem. 1 solutions Answer 297472 by ankor@dixie-net.com(15647)   on 2011-03-27 18:10:15 (Show Source): You can put this solution on YOUR website! swimming with the current for 36 minutes, i traveled 1.5 miles. Swimming back to where i started against the current it took 1 hour. what is the rate at which i swam in still water? What is the rate of the current? : Let s = swim speed in still water Let c = rate of the current : Change 36 min to .6 hrs : Write two distance equation, one for each way, Dist = speed * time .6s + .6c = 1.5 and 1s - 1c = 1.5 s = (c + 1.5) : replace s with (c+1.5) in the 1st equation .6(c + 1.5) + .6c = 1.5 .6c + .9 + .6c = 1.5 1.2c = 1.5 - .9 1.2c = .6 c = c = .5 mph is the current : Find s using the 2nd equation s - .5 = 1.5 s = 1.5 + .5 s = 2 mph is the swimming speed : : Check solutions in the 1st equation .6(2) + .6(.5) = 1.5 1.2 + .3 = 1.5

Linear-equations/427762: rewrite this in standard form using only intergers and positive coefficient for x, y= 12x - 5/2 1 solutions Answer 297468 by ankor@dixie-net.com(15647)   on 2011-03-27 17:27:47 (Show Source): You can put this solution on YOUR website! y = 12x - 5/2 Multiply both sides by -2, results -2y = -24x + 5 Add 24x to both sides 24x - 2y = 5

Exponential-and-logarithmic-functions/427370: solve for x: e^-5x*e^4=e 1 solutions Answer 297385 by ankor@dixie-net.com(15647)   on 2011-03-27 09:49:03 (Show Source): You can put this solution on YOUR website! solve for x: Divide both sides by e^4 we can write it: Now we can see that -5x = -3 x = x = +.6 : : Check in the original problem

Radicals/427539: Solve equation, check answer. root 4√(2x+3) = √(x+1) 1 solutions Answer 297316 by ankor@dixie-net.com(15647)   on 2011-03-26 21:23:31 (Show Source): You can put this solution on YOUR website! = square both sides and you have = x + 1 Square both sides again 2x + 3 = (x+1)^2 FOIL, the right side 2x + 3 = x^2 + 2x + 1 0 = x^2 + 2x - 2x + 1 - 3 0 = x^2 - 2 x^2 = 2 x = , only the positive value will be a solution

logarithm/427536: Problem: "a type of reactive substance decays at a rate of -8.6% daily." Model: P=Poe^kt They are asking to solve the equation algebraically and I do not see how, can you explain to me, please? Thank you so much 1 solutions Answer 297304 by ankor@dixie-net.com(15647)   on 2011-03-26 20:50:59 (Show Source): You can put this solution on YOUR website! Problem: "a type of reactive substance decays at a rate of -8.6% daily." Model: P = Po*e^kt : We can find k by solving it for 1 day, Let Po = 100 then P = 100 - 8.6 = 91.4 and t = 1 day : 100*e^(-1k) = 91.4 e^(-1k) = e^-k = .914 Find the nat log of both side ln(e^-k) = ln(91.4) -k*ln(e) = ln(91.4) ln of e is 1 so we have -k = -.0899247 k = .0899247 : Now the equation for this substance A = Ao*e(-.099247t) where Ao = initial amt A = resulting amt after t days

Age_Word_Problems/427513: Beth is two years older than Julio. Gerald is twice as old as Beth. Debra is twice as old as Gerald. The sum of their ages is 38. How old is Beth? 1 solutions Answer 297297 by ankor@dixie-net.com(15647)   on 2011-03-26 20:33:27 (Show Source): You can put this solution on YOUR website! write an equation for each statement: "Beth is two years older than Julio." B = J+2 : " Gerald is twice as old as Beth." G = 2B : " Debra is twice as old as Gerald." D = 2G : " The sum of their ages is 38." B + J + G + D = 38 : Looking at these equation, it's apparent we can get all in terms of B B = J + 2 J = B-2 : G = 2B : D = 2G Replace G with 2B D = 2(2B) D = 4b : So we have: B + (B-2) + 2B + 4B = 38 8B = 38 + 2 8B = 40 B = 5 yrs is Beth's : I'll let you find the other ages

Age_Word_Problems/427066: A man lived 1/6 of his life as a child. 1/7 of his life as an adolescent and 1/12 of his life as a bachelor. Five years after he got married, he had a son. His son died 4 years before the father at 1/2 his age. What age was the son when he died? 1 solutions Answer 297294 by ankor@dixie-net.com(15647)   on 2011-03-26 20:25:22 (Show Source): You can put this solution on YOUR website! A man lived 1/6 of his life as a child. 1/7 of his life as an adolescent and 1/12 of his life as a bachelor. Five years after he got married, he had a son. His son died 4 years before the father at 1/2 his age. What age was the son when he died? : Assume we are dealing in integers here, Find the least common multiple of 1/6, 1/7, 1/12, and we have the man's age That would be 84 was the man's age : "His son died 4 years before the father at 1/2 his age. What age was the son when he died?" The son died when his dad was 80, if he was half his age then, son died at 40, or the son died at 42 if they mean he died at his dad's final age. It's not quite clear about that.

Money_Word_Problems/427350: Cali is selling candles at a stand in the mall. She currently sells the candles for $14 each. At this price, she sells 260 candles a week. She is considering raising the price of the candles to make a greater profit. Her college statistics class determined that she will lose 10 sales for every one dollar increase in price. What would provide Cali with the most profit? What is her maximum weekly profit? 1 solutions Answer 297277 by ankor@dixie-net.com(15647)   on 2011-03-26 18:04:51 (Show Source): You can put this solution on YOUR website! She currently sells the candles for $14 each. At this price, she sells 260 candles a week. She is considering raising the price of the candles to make a greater profit. Her college statistics class determined that she will lose 10 sales for every one dollar increase in price. What would provide Cali with the most profit? What is her maximum weekly profit? : Let x = no. of dollar increase, and no. of candle sales decrease : f(x) = (260 - 10x) * (14 + x): FOIL f(x) = 3640 + 260x - 140x - 10x^2 : f(x) = -10x^2 + 120x + 3640 : Max revenue would be at the axis of symmetry: x = -b/(2a); a=-10, b=120 x = x = 6 dollar increase, and 60 candle decrease : What is her maximum weekly profit? (14+6) * (260 - 60) = $4000

Rational-functions/427249: Question: Find x- and y-intercepts of the graph of the graph of the equation. Round to three decimal places, if necessary. I don't have graphing calculator. -18x+24y=1 1 solutions Answer 297234 by ankor@dixie-net.com(15647)   on 2011-03-26 15:18:16 (Show Source): You can put this solution on YOUR website! Find x- and y-intercepts of the graph of the graph of the equation. Round to three decimal places, if necessary. : -18x + 24y = 1 Put the equation into the slope/intercept form Add 18x to both sides 24y = 18x + 1 Divide eq by 24 y = x + y = .75x + .0417 : Y intercept occurs when x = 0 y = .75(0) + .0417 y = .042, is the y intercept rounded to 3 decimal places : x intercept occurs when y = 0 .75x + .0417 = 0 .75x = -.0417 x = x = -0555 ~ -.056 is the x intercept rounded

Percentage-and-ratio-word-problems/427285: the ratio of income of two persons is 9:7 and ratio of thier expendature is 4:3. If each one of them saves Rs.200per month.Find their monthly incomes? 1 solutions Answer 297223 by ankor@dixie-net.com(15647)   on 2011-03-26 14:34:39 (Show Source): You can put this solution on YOUR website! the ratio of income of two persons is 9:7 and ratio of their expenditure is 4:3. If each one of them saves Rs.200 per month, find their monthly incomes? : let the gross income multiplier = x let the expenditure multiplier = y : 9x - 4y = 200 7x - 3y = 200 : Multiply the 1st equation by -3, multiply the 2nd equation by 4, results -27x + 12y = -600 28x - 12y = 800 -------------------addition eliminates y, find x: x = 200 then 9*200 = $1800 is one income 7*200 = $1400 is the other income ; : Check solution by finding the expenditure multiplier 1800 - 4y = 200 -4y = 200 - 1800 -4y = -1600 y = y = 400 is the multiplier then 4(400) = 1600 spent by one guy 3(400) = 1200 spent by the other guy ($200 saved by both)

Inequalities/427098: A little help please!? Find all four corner points of the feasible region of the following system of inequalities: x + 4y <= 8 x - y <= 3 x => 0 y => 0 I do not have a clue... Thank you in advance!! :) 1 solutions Answer 297070 by ankor@dixie-net.com(15647)   on 2011-03-25 19:54:12 (Show Source): You can put this solution on YOUR website! Find all four corner points of the feasible region of the following system of inequalities: Put equations in the slope/intercept form to graph x + 4y <= 8 4y <= -x + 8 y <= + 2 This is plotted as the red line : x - y <= 3 -y <= -x + 3 y has to be positive, multiply by -1, this reverses the inequality sign y >= x - 3 This is plotted as the green line : This just means all values are >0 x => 0 y => 0 : Plot these using x=0 and x=8. Looks something like this: Note that the area of feasibility is: Less or at the red line above or at the green line At or Above the x axis At or to the right of the y axis : You can see the coordinates of the corner points of this area: 0,0; 0,2; 4,1; 3,0 : Perhaps this will give you a couple clues to this.

Miscellaneous_Word_Problems/426865: store and see oranges are $1.25 per lb.you only want 1 orange.you figure that are 5 oranges in a lb.how much will it cost to buy 1 orange? Hello if you could show me the work and how to come up with the solution thank you for your help 1 solutions Answer 297029 by ankor@dixie-net.com(15647)   on 2011-03-25 15:31:15 (Show Source): You can put this solution on YOUR website! 1 orange = 1 orange = .25

Length-and-distance/426867: Please, Please help! Suppose that the expression x2 + 7x +12 / (x+2)2 represents the area of a rectangle. Find the expression for the perimeter of the rectangle. I'm so confused. 1 solutions Answer 297002 by ankor@dixie-net.com(15647)   on 2011-03-25 12:39:19 (Show Source): You can put this solution on YOUR website! Suppose that the expression represents the area of a rectangle. Find the expression for the perimeter of the rectangle. : Factor : then A=L*W, therefore we can say: = the length and = the width : P = 2() + 2() = () + ()

Average/426966: i had an 82 in a class, & i just took a test my grade is now a 77 what did i make on the test for my grade to go down to a 77 1 solutions Answer 296961 by ankor@dixie-net.com(15647)   on 2011-03-25 08:11:19 (Show Source): You can put this solution on YOUR website! i had an 82 in a class, & i just took a test my grade is now a 77 what did i make on the test for my grade to go down to a 77? : Let x = the test grade = 77 x + 82 = 2(77) x = 154 - 82 x = 72, this assumes that this grade counts the same as your average grade.