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# Recent problems solved by 'mangopeeler07'

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 Linear_Equations_And_Systems_Word_Problems/477900: On the first day of school, the percentage of boys in a particular class is 60%. During the school year,six girls move away, and are replaced in the class by six boys, this makes the class roster 75% boys. Find the number of boys and girls in the class on the first day. I am completely lost on this one.1 solutions Answer 327496 by mangopeeler07(462)   on 2011-08-04 15:29:13 (Show Source): You can put this solution on YOUR website!Set B for the number of boys on the first day. Set G for the number of girls. so (A for all), where (sixty percent). Six girls move and six boys come And now the boys make up 75% of the class Using and , plug in .6A for B: Subtract .6A from both sides: Now divide both sides by .15 So there were 40 kids in all on the first day. 60% of them were boys, so: 40-24=G So on the first day of school, there were 24 boys and 16 girls.
 test/477921: What is the area of a square that has sides 14 centimeters in length? 1 solutions Answer 327493 by mangopeeler07(462)   on 2011-08-04 15:19:57 (Show Source): You can put this solution on YOUR website!If it's a square, all the sides are the same length. So the area of a square is the length times the height (or the length squared). Area= 196 centimeters squared
 test/477919: Find the next term in the pattern -4, 14, 10, 24,... 1 solutions Answer 327492 by mangopeeler07(462)   on 2011-08-04 15:18:17 (Show Source): You can put this solution on YOUR website!-4, 14, 10, 24,.... Find the pattern. -4+14=10 14+10=24 10+24=34 So the next number in the pattern is 34.
 Coordinate-system/477907: -2x+y=4 find the x-intercept and the y-intercept of the graph of the equation.1 solutions Answer 327491 by mangopeeler07(462)   on 2011-08-04 15:15:57 (Show Source): You can put this solution on YOUR website!y-intercept is where x=0. Y-intercept: x-intercept is where y=0. X-intercept:
 Age_Word_Problems/477916: My age is now four times yours, but five years ago it was five times yours. how old was the man?1 solutions Answer 327490 by mangopeeler07(462)   on 2011-08-04 15:13:20 (Show Source): You can put this solution on YOUR website!M=my age Y=your age My age is now four times yours: But five years ago it was five times yours: Plug in 4Y for M: Simplify both sides So "your age" is 20. "My age" is 80. If you check it, that works. Five years ago "you" would have been 15 and "my age" would have been 75. 15*5=75
 test/477914: A circle has an area of 841pi cm squared. Whats the circumference?1 solutions Answer 327484 by mangopeeler07(462)   on 2011-08-04 15:07:41 (Show Source): You can put this solution on YOUR website!area of a circle = pi*r^2=841 841/pi=r^2 267.6986=r^2 16.36=r circumference of a circle=pi*2r pi*32.72=102.79 cm
 Linear_Equations_And_Systems_Word_Problems/477895: Walt made an extra \$9000 last year from a part-time job. He invested part of the money at a 9% annual rate of interest, and the rest at 8% annual rate of interest. At the end of the year, he made a total of \$770 in interest. How much was invested at 8%? 1 solutions Answer 327462 by mangopeeler07(462)   on 2011-08-04 14:33:54 (Show Source): You can put this solution on YOUR website!9000=total money Money at 9%=x Money at 8%=9000-x (because it's the rest) increase interest=770. so 9000+770= 9770. So set up the equation: Because x+ 9% of x and (9000-x) + 8% of that equals 9770. Simplify Simplify again Subtract 9720 from both sides. Divide each side by .01 Therefore: \$5000 was invested at 9%, and \$4000 was invested at 8%.
 Word_Problems_With_Coins/477880: HOw many ways can you make 25 cents ONLY using pennies, nickels & dimes? And can you list them 1 solutions Answer 327461 by mangopeeler07(462)   on 2011-08-04 14:25:30 (Show Source): You can put this solution on YOUR website!1 dime 3 nickels 1 dime 15 pennies 1 dime 1 nickel 10 pennies 1 dime 2 nickels 5 pennies 2 dimes 5 pennies 2 dimes 1 nickel 1 nickel 20 pennies 2 nickels 15 pennies 3 nickels 10 pennies 4 nickels 5 pennies 5 nickels 25 pennies
 Linear_Equations_And_Systems_Word_Problems/477893: Half of the cows are grazing grass .Three-fourth of the remaining are sleeping and 9 cows are drinking water from the pond.Find the total number of cows.1 solutions Answer 327460 by mangopeeler07(462)   on 2011-08-04 14:18:09 (Show Source): You can put this solution on YOUR website!Set C as the total number of cows. Set G as the grazing cows, S as the sleeping cows, and D as the drinking cows. Set up the equation like so; Total numbers of cows=all grazing, sleeping, and drinking cows. Half the total cows are grazing: Three fourths of the REMAINING cows are sleeping 9 cows are drinking from the pond Plug all these answers into the original equation and get Now simplify: Combine all the C's on both sides: Now multiply both sides by 8: Answer: 72 cows To check, plug in 72 for C. There are 72 cows, if half of them are grazing, then 36 are grazing. If three-fourths of the rest (36 more) are sleeping, then 27 are sleeping, which leaves 9 drinking.
 Mixture_Word_Problems/477890: A lunch menu consists of 3 different sandwiches, 2 different soups, and 4 different drinks. How many choices are there for ordering a sandwich, a bowl of soup, and a drink?1 solutions Answer 327458 by mangopeeler07(462)   on 2011-08-04 14:09:35 (Show Source): You can put this solution on YOUR website!Think of it this way. Take it one at a time. For every one sandwich, there are two different soups you can have (disregard the drinks for now). That's two combinations, for three sandwiches, so three times two, which gives you six. Now, for every one sandwich and one drink (six), there are four different drinks you can choose from. Six times four is 24. In other words, multiply all the numbers together.
 Inverses/477888: What is the inverse of f(x)=(x-7)^3 I know you change out f(x) to y: y=(x-7)^3 Then swap x and y: x=(y-7)^3...But now I am stuck as to what numbers will come back over with y..Can you help?1 solutions Answer 327455 by mangopeeler07(462)   on 2011-08-04 14:02:06 (Show Source): You can put this solution on YOUR website!You got to okay. Then you would have to solve for y. Take the cube root of both sides: And now add 7 to both sides: Flip it for sanity's sake: Now change y to f(x) and voila!! Answer:
 Inequalities/271365: Write an inequality to represent this situation. Louis makes \$30 for each yard he mows and \$20 for each lawn he weeds. He wants to make atleast \$150 each week.1 solutions Answer 198690 by mangopeeler07(462)   on 2010-02-18 16:35:08 (Show Source): You can put this solution on YOUR website!Louis makes 30 dollars per yard mowed, so his profit from that is 30 times the number of yards or . Louis makes 20 dollars per lawn weeded, so his profit from that is 20 times the number of lawns or . Added all together he wants at least 150 dollars. Solution:
 Proportions/200510: This question is from textbook Mathematics For Technical trades There are 7 girls in a bus. Each girl has 7 backpacks. In each backpack, there are 7 big cats. For every big cat there are 7 little cats. ( There is no Bus driver.) How many legs are there in the bus?1 solutions Answer 150790 by mangopeeler07(462)   on 2009-06-18 16:34:35 (Show Source): You can put this solution on YOUR website!14 legs. 2 per girl.
 Polynomials-and-rational-expressions/181917: This question is from textbook algebra 1 martha has \$6000 to invest. she puts x dollars of this money into a savings account that earns 3% per year, and with the rest, she buys a certificate of deposit that earns 6% per year. suppose at the end of one year, martha has a total of \$6315. how much money did martha invest in each account?1 solutions Answer 136583 by mangopeeler07(462)   on 2009-02-14 20:12:41 (Show Source): You can put this solution on YOUR website!x---money invested at 3% y---money invested at 6% 1x+1y=6000----------b/c she has 6000 to invest 1.03x+1.06y=6315-------------b/c of the percent of investment and the final amount of money solve eq. 1 for x x=6000-y plug that in to the second eq. 1.03(6000-y)+1.06y=6315 Distribute 6180-1.03y+1.06y=6315 Combine like terms .03y=135 Solve for y y=4500 x=6000-y x=6000-4500 x=1500 Check answers: x+y=6000 1500+4500=6000-------true 1.03(1500)+1.06(4500)=6315-----true ------------------------------------------- Answers: money invested at 3%----\$1500 money invested at 6%----\$4500
 Graphs/175005: What is the equation with the points (4,0) and (0,-4)?1 solutions Answer 130092 by mangopeeler07(462)   on 2009-01-04 19:11:12 (Show Source): You can put this solution on YOUR website!y=mx+b First find the slope (m) using the difference of the y's over the difference of the x's. so the slope is 1 y=x+b Plug in one of the points, it doesn't matter which one. 0=4+b Solve for b b=-4 Answer: y=x-4
 Polynomials-and-rational-expressions/174979: V=0.104h-0.018a-2.69 (a)age=14 (h)hieght=67" Solve the formula for age(a). Estimate how old you will be when your air volume is 90% of its current volume. (use current hieght)1 solutions Answer 130091 by mangopeeler07(462)   on 2009-01-04 19:07:31 (Show Source): You can put this solution on YOUR website!(a)age=14 (h)hieght=67" Solve the formula for age(a). Estimate how old you will be when your air volume is 90% of its current volume. (use current height) solve the formula for a: V=0.104h-0.018a-2.69 V+2.69=0.104h-0.018a V+2.69-0.104h=-0.018a ---------------------------------------------- Solve for V so you can plug 90% of it in later... V at a=14 and h=67: V=0.104h-0.018a-2.69 V=0.104(67)-0.018(14)-2.69 V=4.026 ---------------------------------------------- a for h=67 and .9V when V=4.026--------->90% of V V=0.104h-0.018a-2.69 .9V=(0.104h-0.018a-2.69) .9(4.026)=(0.104(67)-0.018a-2.69) 3.6234=6.968-.018a-2.69) 3.6234=4.278-.018a -.6546=-.018a 36.4=a
 Linear-equations/174912: This question is from textbook algebra 1 find the value of h such that the point satisfies the equation . b. (h,1)1 solutions Answer 130090 by mangopeeler07(462)   on 2009-01-04 18:49:53 (Show Source): You can put this solution on YOUR website!. (h,1)------------>this is in point form (x,y) plug h in for x and 1 in for y: Now simplify Now subtract 4 from each side
 Linear-equations/169837: Two-thirds of a number is less than eight. Find the largest integer that will satisfy the inequality. A. 12 B. 11 C. 10 D. 131 solutions Answer 125227 by mangopeeler07(462)   on 2008-11-26 17:26:29 (Show Source): You can put this solution on YOUR website!Two-thirds of a number is less than eight. Find the largest integer that will satisfy the inequality. A. 12 B. 11 C. 10 D. 13 First find: two-thirds of x is eight. Once you do that, the solution to: "Two-thirds of a number is less than eight" would be any number less than x. "Two-thirds of a number is less than eight"---the number is less than x, which is 12, so it would anything 11 and under. So the largest integer to satisfy that would be 11.
 Geometry_Word_Problems/169153: This question is from textbook Elementary and Intermediate Algebra Can you tell me what the perimeter of a rectangular backyard is that is 6x + 6 yards. If the width is x yards, can you please find a bionomial that represents the length. Thanks!1 solutions Answer 124762 by mangopeeler07(462)   on 2008-11-23 15:27:41 (Show Source): You can put this solution on YOUR website!Can you tell me what the perimeter of a rectangular backyard is that is 6x + 6 yards. If the width is x yards, can you please find a bionomial that represents the length. Thanks! The perimeter is 2 times the width plus 2 times the length. If the width is x and the perimeter is 6x+6, than the expression that equals the length would be: The expression above is derived from the following: Now simplify the expression :
 Functions/169171: Marlena is making her own bracelets. Each bracelets will have 10 beads. WRite a function rule to describe the number of beads she will use. Find a reasonable domain and range for the fuction if Marlena makes up to 7 bracelets.1 solutions Answer 124758 by mangopeeler07(462)   on 2008-11-23 15:15:46 (Show Source): You can put this solution on YOUR website!"Marlena is making her own bracelets. Each bracelet will have 10 beads. Write a function rule to describe the number of beads she will use. Find a reasonable domain and range for the fuction if Marlena makes up to 7 bracelets." We'll have "x" be the number of bracelets and "y" be the number of beads. "Marlena makes up to 7 bracelets": because of this statement, we know that x, the number of bracelets, may not go over 7. Logically, Marlena cannot make a negative number of bracelets, so we also know that x has to be more than (or equal to) 0. So our logical domain would be: ---------------------------------------------------- We know that each bracelet has ten beads, so the amount of beads used would be ten times the amount of bracelets, or ---in f(x) form, this is the function----> . To get the logical range, all we have to do is use the logical domain, which we already have, and use the same inequality signs. Plug in 7 and 0, our logical domain, for x to get the logical range, y. So the logical range would be -------------------------------------------- Domain: Range: