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# Recent problems solved by 'richwmiller'

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 Volume/245469: How do I go about solving this problem? The radius of a sphere is given by by the formula R=(0.75v)^1/3 over the pie symbol. find the radius of a spherical tank that has a volume of 32pie/3 cubic meters.1 solutions Answer 182036 by richwmiller(9135)   on 2009-12-14 22:56:07 (Show Source): You can put this solution on YOUR website!R=(0.75v)^1/3 substitute 32*pi/3 for v
 Volume/250024: What is this number? it has three digits and is odd. it reads the same way when rotated through 180 degrees. it is a multiple of 53.1 solutions Answer 182033 by richwmiller(9135)   on 2009-12-14 22:49:25 (Show Source): You can put this solution on YOUR website!100a+10b+c (100a+10b+c)=53n turn 180 upside down a=6 and c=9 b=8 53*13=689
 Volume/250022: find the number that is both the surface area in square centimeters and the volume in cubic centimeters of the same cube?1 solutions Answer 182030 by richwmiller(9135)   on 2009-12-14 22:40:01 (Show Source): You can put this solution on YOUR website!6x^2=x^3 6x=x^2 x=6 or x=0
 Graphs/249980: Write an equation in slope-intercept form for the line that is parallel to the given line and that passes through the given point 2x+37+7;(4,5)1 solutions Answer 182025 by richwmiller(9135)   on 2009-12-14 22:30:05 (Show Source): You can put this solution on YOUR website!what is the given line? repost with given line
 Expressions-with-variables/250020: Olga has 5 times as many dimes as nickels. If she has \$3.30, how many of each coin does she have?1 solutions Answer 182023 by richwmiller(9135)   on 2009-12-14 22:28:48 (Show Source): You can put this solution on YOUR website!let n=nickels d=dimes 5n+10d=330 d=5n
 Mixture_Word_Problems/250015: Word Problem "The owners of a candy store want to sell for \$5.00 per pound, a mixture of chocolate-covered raisins, which usually sells for \$3.00 per pound, and chocolate-covered macadamia nuts, which usually sells for 8.00 per pound. They have a 50 pound barrel of the raisins. How many pounds of the nuts should they mix with the barrel of raisins so that they hit their target value of \$5.00 per pound? 1 solutions Answer 182022 by richwmiller(9135)   on 2009-12-14 22:26:42 (Show Source): You can put this solution on YOUR website!let m= pounds of macadamia nuts 3*50+8m=5*(50+m) 8m+150=250+5m
 Word_Problems_With_Coins/250009: Penny collected some change in preparation for a garage sale. She collected two more nickles than twice the number of dimes and eight fewer quarters than twice the number of nickles. If the value of the quarters was \$1.60 greater than four times the value of the nickles and dimes together, what was the total value of the change that Penny collected?1 solutions Answer 182016 by richwmiller(9135)   on 2009-12-14 22:18:05 (Show Source): You can put this solution on YOUR website!the hard part of these coin problems is setting up the equations for every variable (unknown) we need another equation so if we have 3 unknowns we need 3 equations let n= nickels q=quarters d=dimes n=2d+2 2n-8=q 25q=160+4(5n+10d) let me know what you get
 Graphs/250012: y=x+4 3x+y=241 solutions Answer 182009 by richwmiller(9135)   on 2009-12-14 22:01:31 (Show Source): You can put this solution on YOUR website!y=x+4 3x+y=24 substitute x+4 for y in the second equation and solve for x
 Numbers_Word_Problems/250011: You use a garden hose to fill a swimming pool at a constant rate. The pool is empty when you begin to fill it. The pool contains 15 gallons of water after 5 minutes. After 30 minutes, the pool contains 90 gallons of water. Write an equation that gives the volume (in gallons) of water in the pool as a function of the number of minutes since you began filling it. Explain how you can find the time it takes to put 150 gallons of water in the pool.1 solutions Answer 182007 by richwmiller(9135)   on 2009-12-14 22:00:04 (Show Source): You can put this solution on YOUR website!V gallons=3*t (minutes) 15/5=3 gallons per minute 90/30=3 gallons per minute substitute 150 for volume and solve for t
 decimal-numbers/250007: Problem solver: -3° (negative 3 to the 0 power) Answer is 0?1 solutions Answer 182000 by richwmiller(9135)   on 2009-12-14 21:45:01 (Show Source): You can put this solution on YOUR website!anything to the 0 power is one anything to the power of 1 is the number
 Polynomials-and-rational-expressions/250004: Factor 3z^2+14z +8 I have tried this repeatedly and I keep coming up with an answer that is exactly like the problem 1 solutions Answer 181998 by richwmiller(9135)   on 2009-12-14 21:44:10 (Show Source): You can put this solution on YOUR website!there are several ways to look at this but the simplest is to factor with 3z as the beginning of one of the factors we need to come up with 14 and 8 using 3 what are factors of 8 which can combine with 3 to make 14 4*2=8 and 3*4+2=14 let's try (3z+4)(z+2) that gives us 8 but not the 14 but only 10 let's try (3z+2)(z+4) yes (3*4) +2=14 and 2*4=8
 Radicals/249979: 7x under the root over 12x under the root 1 solutions Answer 181995 by richwmiller(9135)   on 2009-12-14 21:37:37 (Show Source): You can put this solution on YOUR website!sqrt(7x)/sqrt(12x) we can factor out x sqrt(7)*sqrt(x) over sqrt (12)*sqrt(x) sqrt(7)/sqrt(12) we can factor some more sqrt(7)/(2)sqrt(3) that equals sqrt(7/3)/2 which also equals 1/2*sqrt(7/3)
 Miscellaneous_Word_Problems/250001: How do I solve this problem? Three times the opposite of a number is increased by 16, and this result is 26 greater than the number. Find the number.1 solutions Answer 181986 by richwmiller(9135)   on 2009-12-14 21:31:36 (Show Source): You can put this solution on YOUR website!First you have to know what the opposite of a number is. find it in your book and get back to me or repost
 Linear-equations/249985: Media services charges \$20 for a phone and \$30/month for a plan. The equation c=30t+20 describes the total cost, c of operating the phone and t for the months The total cost of 2 months service is? and if a customer has only \$90 available, how many moths service can they receive? Help pleeese? Thanks1 solutions Answer 181985 by richwmiller(9135)   on 2009-12-14 21:30:24 (Show Source): You can put this solution on YOUR website!I answered this one earlier today. Look for it.
 Linear-systems/249994: Solve each system by substitution. Check your solution. 19. a-1.2b=-3 0.2b+0.6a=121 solutions Answer 181982 by richwmiller(9135)   on 2009-12-14 21:28:04 (Show Source): You can put this solution on YOUR website!a-1.2b=-3 0.2b+0.6a=12 we have two linear equation which form lines on a graph with two variables we can then solve for the two variables by elimination or substitution. we will substitute a-1.2b=-3 add 1.2b to both sides a=1.2b-3 Substitute 1.2b-3 for a in the second equation. 0.2b+0.6(1.2b-3)=12 expand and solve for b .2b+.6*1.2b-.6*3=12 add .6*3 to both sides .2b+.6*1.2b=.6*3+12
 Linear-equations/249996: Here is another one I don't understand it say to translate to an algebraic expression, the product of 29% and some number the translation is ? it also says make the percentage a decimal and use q to represent some number What exactly are they asking? Thank You1 solutions Answer 181977 by richwmiller(9135)   on 2009-12-14 21:21:24 (Show Source): You can put this solution on YOUR website!Let q=some number We want 29% of q 29%=29/100=.29 which is the decimal for 29% Product means two quantities multiplied together. the two quantities are .29 and q So we want .29q which is an algebraic expression of 29% of q Algebraic expression means it is written with a variable in this case q if we set it equal to something then the expression becomes an equation. If I said that .29q =58 then we would have an equation.
 Linear-equations/249992: This says find the slope if it exists x=-6 m=? it has to be an integer or simplified fraction or undefined Can someone help me with this?1 solutions Answer 181973 by richwmiller(9135)   on 2009-12-14 21:15:01 (Show Source): You can put this solution on YOUR website!if x=-6 slope is y1-y2 over x1-x2 but if the difference in x is also zero then the slope is undefined and the line is vertical. if you look at a graph of the line where x is always -6 then you see that y can be anything but x is always -6-- a vertical line
 Linear_Equations_And_Systems_Word_Problems/249982: In an election A got 400 more votes than B. If 1/8 of the votes for A had gone to B, B would have had 500 more votes than A. In the original election how many votes did A and B get?1 solutions Answer 181969 by richwmiller(9135)   on 2009-12-14 21:09:05 (Show Source): You can put this solution on YOUR website!a=b+400 a+b=x a-1a/8+500=b+a/8 substitute a+b for x a-a/8+500=b+a/8 substitute b+400 for a b+400-(b+400)/(8)+500=b+(b+400)/8 factor (1/8)*(-b-400)+b+900=b+(1/8)*(b+400) expand out terms b7/8+850=9b/8+50 get b on one side and numbers on other 800=2b/8 800=b/4 3200=b a=3200+400=3600 a+b=6800 3600/8=450 check if 450 votes for a became 450 for b then 3650 for b 3150 would be for a 500 more for b ok
 Distributive-associative-commutative-properties/249974: Solve using the multiplication principle. Perform the check. 7x = -56.1 solutions Answer 181965 by richwmiller(9135)   on 2009-12-14 20:36:32 (Show Source): You can put this solution on YOUR website!The Multiplication Principle says that if a = b and c is any number, a * c = b * c. we want to have just x on one side what can we multiply by 7x to get 1x? 1/7 so multiply both sides by 1/7 which is the same as dividing both sides by 7
 Distributive-associative-commutative-properties/249976: Is -5 greater or less than 1?1 solutions Answer 181964 by richwmiller(9135)   on 2009-12-14 20:33:03 (Show Source): You can put this solution on YOUR website!well using the number line it goes -5 -4 -3 -2-1 0 +1 +2 +3 +4 find 1 on the number line is 0 greater or less. whatever zero is so is -5 remember if there is no sign, it is plus where is 4 whatever 4 is -5 is not
 Proportions/249966: I need help trying to figure this problem out....3/4=x/x+3 4X=3(x+3) right??? this is where i am stumped1 solutions Answer 181961 by richwmiller(9135)   on 2009-12-14 20:30:02 (Show Source): You can put this solution on YOUR website!Is it 3/4=(x)/(x+3) ? if so yes you can get 4x=3(x+3) now divide by 4 (both sides) x=3(x+3)/4 expand 3(x+3) x=3x/4+9/4 remember 1x=4x/4 Now get all variables (x)on one side and all constants on the other.
 Linear-equations/249819: Help please Use the distributive property to help solve the equation 7(w-3)=14 W=? Is w=11 correct? I'm not sure, thanks1 solutions Answer 181897 by richwmiller(9135)   on 2009-12-14 16:57:52 (Show Source): You can put this solution on YOUR website!w is not 11 multiply out 7(w-3) multiply 7 by each part 7*w and 7*(-3) and add them.
 Surface-area/249821: What is the surface area of a cube that has an edge measuring 5 inches?1 solutions Answer 181890 by richwmiller(9135)   on 2009-12-14 16:51:41 (Show Source): You can put this solution on YOUR website!all the sides of a cube are the same. so surface area will be 6 times the area of one side area of a side is the area of a square of 5 inches on each side
 Distributive-associative-commutative-properties/249822: how do u add 2.5+1.4x+3.2+5.4X1 solutions Answer 181886 by richwmiller(9135)   on 2009-12-14 16:49:33 (Show Source): You can put this solution on YOUR website!take the digits and add them 2.5+3.2 take the variables and add them 1.4x+5.4x
 Pythagorean-theorem/249794: In triangle MOP, NR is parallel to OP. MN is 3, NO is 6, MR is 5, NR is 6. Find RP and OP. NR goes across the middle of the triangle MOP.1 solutions Answer 181885 by richwmiller(9135)   on 2009-12-14 16:47:54 (Show Source): You can put this solution on YOUR website!the triangle MNR is in the ratio 3:5:6 then triangle MOP is in the ratio 6:10:12 where OP=12 since the line NR bisects MO and also MP RP=5 which is the same as MR
 Rectangles/249793: The length of a rectangle is 5 meters longer than the width. find the length and width if the perimeter is meters. 1 solutions Answer 181881 by richwmiller(9135)   on 2009-12-14 16:40:59 (Show Source): You can put this solution on YOUR website!you left out the perimeter in meters repost on line with correct info
 Linear-equations/249798: Find both the x-intercept and the y-intercept of the line given by the equation: 2x+9y+14=01 solutions Answer 181880 by richwmiller(9135)   on 2009-12-14 16:39:49 (Show Source): You can put this solution on YOUR website!the intercepts are when y=0 and when x=0
 Volume/249805: I have one pipe 25 inches x 3inches in diameter the other pipe 25 inches x 2 inches in diameter. How much more water will the 3 inch pipe hold than the two inch pipe?1 solutions Answer 181879 by richwmiller(9135)   on 2009-12-14 16:39:11 (Show Source): You can put this solution on YOUR website!You are looking for two volumes of cylinders. What is the formula?
 Pythagorean-theorem/249806: Below is a homework problem in which I would greatly appreciate your help in showing me the steps to complete this problem correctly. Though the answer was provided in the book,I would like to know how to do it on my own. Thank you for your patience and assistance. Use trigonometric ratios to find the unknown sides and angles in the following right triangle. Do not use a calculator. x = y = θ = The triangle presented for the problem has the following already revealed: 60 degrees, 7 (on the side opposite the smaller angle). The rest is up to us to find. I hope I provided enough information given that the right triangle would not paste into the question box. 1 solutions Answer 181878 by richwmiller(9135)   on 2009-12-14 16:37:36 (Show Source): You can put this solution on YOUR website! Which of sine, cosine and tangent use opposite ? which is opposite and hypotenuse? opposite and adjacent?
 Angles/249818: what is the supplement of an angle whose measure is y-131 solutions Answer 181877 by richwmiller(9135)   on 2009-12-14 16:35:11 (Show Source): You can put this solution on YOUR website!what is the supplement of any angle?
 Percentage-and-ratio-word-problems/249816: A rectangular garden measures 12 feet in length and 8 feet in width. What is the ratio of length to width? b. width to length? c. length to area? d. width to area? 1 solutions Answer 181876 by richwmiller(9135)   on 2009-12-14 16:34:50 (Show Source): You can put this solution on YOUR website!ratio of width to length make fraction width/length or width:length calculate the area with the formula L*W