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# Recent problems solved by 'Mathtut'

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 Equations/179071: ax+b=cx+d Solve for x1 solutions Answer 134028 by Mathtut(3670)   on 2009-01-28 20:16:11 (Show Source): You can put this solution on YOUR website!ax+b=cx+d : ax-cx+b=d.....subtracted cx from both sides : ax-cx=d-b.....subtracted b from both sides : x(a-c)=d-b....distributive property :
 test/178980: Write the resulting function if the following transformation are applied to the function y=x^2 a. shift left 2 and shift up 1 unit b. shift left 9 units and shift down 3 units1 solutions Answer 134025 by Mathtut(3670)   on 2009-01-28 20:05:52 (Show Source): You can put this solution on YOUR website! : :
 Inequalities/179077: Solve: x - 3 < -4 or 2x = 2 > 3. graph the answer and then put it in interval notation Thanks a lot for the help!!1 solutions Answer 134023 by Mathtut(3670)   on 2009-01-28 19:59:30 (Show Source): You can put this solution on YOUR website!x - 3 < -4 or 2x = 2 > 3........I am assuming that was suppose to be a + sign : x<-1 or 2x+2>3 : x<-1 or 2x>1 : x<-1 or x>1/2 : (- infinity,-1)U(1/2,infinity)
 Miscellaneous_Word_Problems/179076: A grocer combines coffee that costs \$8.00 per pound with coffee that costs \$3.00 per pound. how many pounds of each should be used to make 80 lbs of a blend that costs \$5.00 per pound? i am suppose to have an equation for this also thank you soo much for helping me out!! 1 solutions Answer 134021 by Mathtut(3670)   on 2009-01-28 19:54:12 (Show Source): You can put this solution on YOUR website!let x and y be the amount of \$8 per pound coffee and \$3 per pound coffee respectively : x+y=80...........eq 1 8x+3y=5(80)......eq 2 : rewrite eq 1 to x=80-y and plug it into eq 2 : 8(80-y)+3y=400 : 640-8y+3y=400 : -5y=-240 : pounds of \$3 blend : pounds of the \$8 blend
 Graphs/179074: Graph the equation by plotting points. x=4 1 solutions Answer 134020 by Mathtut(3670)   on 2009-01-28 19:49:04 (Show Source): You can put this solution on YOUR website!no matter what value you have for y ...x will always equal 4 : (4,2) : (4,5) : (4,300) : and so on :this is a vertical line 4 units to the right and parallel to the y axis
 Graphs/179075: A delivery company's charge for an overnight package weighing in excess of one pound given by the formula c=2.83 w+15.51, where w is the weight of package in pounds. Find the following A 5 lb package cost ___ to send overnight. Round to the nearest cent. A 12- ib package cost ___ to send overnight. Round to the nearest cent.1 solutions Answer 134019 by Mathtut(3670)   on 2009-01-28 19:47:12 (Show Source): You can put this solution on YOUR website!c=2.83 w+15.51 : c(5)=2.83(5)+15.51=14.15+15.51=29.66 : c(12)=2.83(12)+15.51=33.96+15.51=49.47
 Proportions/179069: 5/6=7n+9/91 solutions Answer 134018 by Mathtut(3670)   on 2009-01-28 19:34:21 (Show Source): You can put this solution on YOUR website!even though this is written as 9/9, I will assume that is not what you intended.When you post problems, it would behoove you to pay attention to order of operations. Remember mult and division take precedent over addition and subtraction. If 9/9 is what you intended my apologies....email me and I will re do it...thanks Mathtut : : cross multiply : : : :
 Linear-equations/179052: Hi! I need help solving this Linear and Absolute Value Inequality. I'm supposed to solve the inequality and then put the solution sets in interval notations: Let A=(1,2), B=[-1,0). Find AUB and ANB Thanks, superflygraduate@yahoo.com1 solutions Answer 134015 by Mathtut(3670)   on 2009-01-28 19:15:02 (Show Source): You can put this solution on YOUR website!Let A=(1,2), B=[-1,0). Find AUB and ANB : AuB=[-1,0)U(1,2) : AnB={ }empty set
 Linear-equations/179046: y=1/5x-6 Complete the ordered pair and graph equation by plotting points. (5,__) (0,__)1 solutions Answer 134012 by Mathtut(3670)   on 2009-01-28 19:08:55 (Show Source): You can put this solution on YOUR website!y=1/5x-6 Complete the ordered pair and graph equation by plotting points. (5,__) (0,__) : x=5--->y=1/5(5)-6=-5 x=0--->y=0(5)-6=-6 : (5,-5) (0,-6) :
 Equations/179063: fraction {a - 2 b}{a + 2 b} = 1 k + 1 solve for a1 solutions Answer 134011 by Mathtut(3670)   on 2009-01-28 19:06:12 (Show Source): You can put this solution on YOUR website! : : :
 Linear-equations/179058: Hi! i really need your help. I have to solve the following inequality, write the solution set in interval notation: 3+2(x-1)<5+8(x-2) Thanks So Much1 solutions Answer 134010 by Mathtut(3670)   on 2009-01-28 19:03:35 (Show Source): You can put this solution on YOUR website!3+2(x-1)<5+8(x-2) : 3+2x-2<5+8x-16....distributed terms : 1+2x<-11+8x.....collected like terms on either side : -6x<-12.....subtracted 8x and 1 from both sides : remember that when you divide or multiply an inequality by a negative the inequality has to be reversed : (2,infinity)
 Graphs/179049: Find the intercepts and then use them to graph equation. 4x+y=81 solutions Answer 134009 by Mathtut(3670)   on 2009-01-28 18:59:45 (Show Source): You can put this solution on YOUR website!to find the y intercept you set x to zero--->4(0)+y=8-->y=-->y intercept (0,8) to find the x intercept you set y to zero--->4x+0=8--->x=--->x intercept (2,0) :
 Linear-equations/179055: I need help solving this linear and absolute value equation. I am to solve and the put in sets in interval notation. Let A=(-oo,1), B=[-1,oo). Find AUB and ANB Thanks1 solutions Answer 134006 by Mathtut(3670)   on 2009-01-28 18:52:59 (Show Source): You can put this solution on YOUR website!AuB-(-oo,1)U(1,oo) : AnB-[-1,1)
 Graphs/179056: A delivery company's charge for an overnight package weighing in excess of one pound is given by the formula c=2.83w+15.51, where w is the weight of the package in pounds. Find the following. A 5 pound package cost ___ to send overnight. Please round to the nearest cent.1 solutions Answer 134004 by Mathtut(3670)   on 2009-01-28 18:49:43 (Show Source): You can put this solution on YOUR website!c=2.83w+15.51 : c(5)=2.83(5)+15.51 : c(5)=14.15+15.51=\$29.66 :
 Graphs/179053: Graph the equation by plotting points. x=41 solutions Answer 134002 by Mathtut(3670)   on 2009-01-28 18:46:40 (Show Source): You can put this solution on YOUR website!x=4 for all values of y . This is a verical line 4 units to the right and parallel to the y axis
 Graphs/179054: Graph the equation by plotting points. y+3=01 solutions Answer 134000 by Mathtut(3670)   on 2009-01-28 18:44:57 (Show Source): You can put this solution on YOUR website!y=-3 for every x. this is a horizontal line 3 units below and parallel to the x axis
 Proportions/179035: a car gets 30 miles per gallon.how many gallons would the car need to travel 90 miles?1 solutions Answer 133994 by Mathtut(3670)   on 2009-01-28 18:29:13 (Show Source): You can put this solution on YOUR website!90/30=3 gallons to go 90 miles
 real-numbers/179037: subtracting real numbers -100-(-6)= -7-7= 72-98=1 solutions Answer 133993 by Mathtut(3670)   on 2009-01-28 18:27:09 (Show Source): You can put this solution on YOUR website!-100-(-6)= -100+6=-94 -7-7==-14 72-98=-26
 Equations/179042: t+t=2 _ _ 2 6 the problem is a fraction equation. t over 2 plus t over 6 equals 2. what is t? started by find lcd (6) but got lost after that. thanks for any help you can give.1 solutions Answer 133990 by Mathtut(3670)   on 2009-01-28 18:21:10 (Show Source): You can put this solution on YOUR website! : :LCD is 6 so the first term needed to be multiplied by 3/3 : multiplied both terms by 6 : divided by 5 to isolate the variable t
 Square-cubic-other-roots/179025: In an ordinary year, there are 365 days. In a leap year,there are 366 days. There are 24 hours in a day. How many more hours are there in one leap year than in one ordinary year?1 solutions Answer 133973 by Mathtut(3670)   on 2009-01-28 17:20:28 (Show Source): You can put this solution on YOUR website!366-365=1 day more in a leap year compared to and ordinary year : since there are 24 hours in a day : 1 day times 24 hours : 1(24)=24 hours more in a leap year than in an ordinary year
 Square-cubic-other-roots/179023: A bushel of apples weighs about 42 pounds. Bills truck can carry 7,000pounds. If he loads 150 bushels of apples, how many more pounds can the truck carry?1 solutions Answer 133967 by Mathtut(3670)   on 2009-01-28 17:16:21 (Show Source): You can put this solution on YOUR website!1 bushel apples=42 pounds : 150 bushels times 42 pounds per bushel : 150(42)=6300 pounds loaded : if he can carry 7000 pounds, then we subtract what he has already loaded(6300) : from what he can carry(7000) : 7000-6300=700 pounds his truck can still carry
 Geometry_Word_Problems/179022: One egg has 75 calories. One slice of bacon has 38 calories.How many calories are in breakfast of 2 eggs and 4 slices of bacon?1 solutions Answer 133965 by Mathtut(3670)   on 2009-01-28 17:11:57 (Show Source): You can put this solution on YOUR website!1 egg=75 1 bacon=38 : 2(75)+4(38)=150+152=302 calories in this breakfast
 Miscellaneous_Word_Problems/179021: Explain the difference between the following two statements: All students passed the final. Some students passed the final.1 solutions Answer 133964 by Mathtut(3670)   on 2009-01-28 17:10:16 (Show Source): You can put this solution on YOUR website!the first statement includes all students : the second statement means at least one student passed the final. It is non specific as to the number. It only tells us that someone passed the test.
 Numeric_Fractions/179018: My problem is with multiplying and dividing fractions with variables. For example 5/1w x 3w/17.When I multiply across I get 15w/17w. Can the w's be cancelled out and I end up with 15/17 ? Also 27/8m divided by 9/4m. I know that you have to multiply the 27/8m by the inverse of 4m/9, which is 1 1/2, but do I keep the m ?1 solutions Answer 133962 by Mathtut(3670)   on 2009-01-28 17:07:05 (Show Source): You can put this solution on YOUR website!when you invert something you invert everything in the numerator and everything in the denominator..... whether is a number or a variable representing a number.....so 3mn/5ts inverted would be 5ts/3mn : and yes they would cancel : 27/8m divided by 9/4m :
 absolute-value/179007: This question is from textbook Solve -x^2+6x-5=0 by graphing. If the solutions are not exact,estimate the answers by indicating thee consecutive integers between which the roots are located.1 solutions Answer 133952 by Mathtut(3670)   on 2009-01-28 16:37:32 (Show Source): You can put this solution on YOUR website!change to : : : x=5 and 1
 absolute-value/179009: This question is from textbook Solve by factoring: 4p(p-1)=01 solutions Answer 133950 by Mathtut(3670)   on 2009-01-28 16:35:42 (Show Source): You can put this solution on YOUR website!this is factored : set 4p=0------->p=0 and set p-1=0--->p=1 : so p=0 and 1
absolute-value/179010: This question is from textbook
Use the quadratic formula to solve: 5x^2+12=-6x
1 solutions

Answer 133949 by Mathtut(3670)   on 2009-01-28 16:34:30 (Show Source):
You can put this solution on YOUR website!

:
 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . The discriminant -204 is less than zero. That means that there are no solutions among real numbers. If you are a student of advanced school algebra and are aware about imaginary numbers, read on. In the field of imaginary numbers, the square root of -204 is + or - . The solution is , or Here's your graph:

 absolute-value/179012: This question is from textbook Find the y-intercept of y=2^x1 solutions Answer 133947 by Mathtut(3670)   on 2009-01-28 16:32:58 (Show Source): You can put this solution on YOUR website!y intercept is found when x =0 : therefore : y intercept is 1,(0,1)
 absolute-value/179013: This question is from textbook Solve: 2n(n+5)=01 solutions Answer 133946 by Mathtut(3670)   on 2009-01-28 16:31:03 (Show Source): You can put this solution on YOUR website!2n=0--->n=0 n+5=0--->n=-5 : so n=0 and -5
 Numeric_Fractions/179004: I would appreciate some help on these fractions please. 1) 1 1/2 x 5 2/3 2) 1 5/6 divided by 2 3) 2 1/2 divided by 3 1/3 could you please show me step by step I'm just lost on this Thank you so much for any help 1 solutions Answer 133944 by Mathtut(3670)   on 2009-01-28 16:27:39 (Show Source): You can put this solution on YOUR website!ok first we must convert these mixed fractions to improper fractions . Improper fractions are of the form whole number and fraction where as improper fractions take the form of a/b. : 1 1/2 x 5 2/3 2) 1 5/6 divided by 2 3) 2 1/2 divided by 3 1/3 : 1)1 1/2=3/2 5 2/3=17/3 : multiply : 2)1 5/6=11/6 2=2/1 : now invert bottom fraction and multiply : : 2 1/2=5/2 3 1/3=10/3 : again invert and multiply
 Exponents/179002: Suppose an economy's real GDP is \$30,000 in year 1 and 31,200 in year 2. What is the growth rate of its real GDP? Assume that population is 100 in year 1 and 102 in year 2. Whar is the growth rate of GDP per capita?1 solutions Answer 133939 by Mathtut(3670)   on 2009-01-28 16:18:10 (Show Source): You can put this solution on YOUR website!GDP growth from year 1 to year 2 is \$1200(31200-30000) : growth rate is 1200/30000=.04(100)=4% growth : growth rate per capita would be 4%/102=.039%