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# Recent problems solved by 'josmiceli'

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 Triangles/410904: Hello, there and thank you so much for helping me tongight! my question today, is on special triangles. This is how my question goes: it is a 45-45-90 triangle i need to find the value of each variable hypotenuse= b one leg= 7 and shortest leg =a i am sooo lost and thank you soo much!1 solutions Answer 288860 by josmiceli(9819)   on 2011-02-17 21:53:00 (Show Source): You can put this solution on YOUR website!The sides of a 45-45-90 triangle are in the ratio 1:1:, so both legs are equal. ,
 Miscellaneous_Word_Problems/410881: Suppose you invest \$1530 in equipment to put your school logo on T-shirts. You buy each T-shirt for \$3. After you have placed the logo on a shirt, you sell the shirt for \$20. How many T-shirts must you sell to break even? (could you also explain how you got the answer?)1 solutions Answer 288858 by josmiceli(9819)   on 2011-02-17 21:48:19 (Show Source): You can put this solution on YOUR website!Let = number of t-shirts you must sell This equation says (money spent to make t-shirts) = (money made on t-shirts) You must sell 90 t-shirts to break even
 Word_Problems_With_Coins/410760: I have a jar with 250 coins both domes and quarters totaling 39.25 how many of each coin is there1 solutions Answer 288784 by josmiceli(9819)   on 2011-02-17 18:10:10 (Show Source): You can put this solution on YOUR website! = number of dimes = number of quarters (1) (2) (in cents) Multiply both sides of (1) by and subtract (1) from (2) (2) (1) There are 155 dimes and 95 quarters check answer: (2) (2) OK
 Travel_Word_Problems/410764: Anthony and Raymond start at the same point and ride their bikes in opposite directions. If Anthony rides at 17 mph and Raymond rides at 15 mph, how far apart will they be after 4 hours?1 solutions Answer 288779 by josmiceli(9819)   on 2011-02-17 17:53:25 (Show Source): You can put this solution on YOUR website!Add their rates to get the rate at which they are separating They will be 128 mi apart in 4 hrs
 Miscellaneous_Word_Problems/410761: The baseball team anf the softball team had fundraisers to buy supplies for their trip to the championship game. The baseball team spent \$135 buying six cases of juice and one case of bottled water. The softball team spent \$110 buying four cases of juice and two cases pf bottled water. How Much did a case of juice cost? How muuch did a case of bottled water cost? (could you also explain how you got the answer?)1 solutions Answer 288778 by josmiceli(9819)   on 2011-02-17 17:48:07 (Show Source): You can put this solution on YOUR website!Let = cost per case of juice Let = cost per case of bottled water ----------- In words: (cost per case) x (a certain number of cases) = cost for that many cases --------------- given: (1) (2) Multiply both sides of (1) by and subtract (2) from (1) (1) (2) and, since (1) \$20 is the cost per case of juice \$15 is the cost per case of bottled water check answer: (2) (2)
 Mixture_Word_Problems/410742: In addition to offering the individual types of coffee beans, Crystal sells several special blends. The house favorite, Crystal's Special Blend, contains a combination of French Roast and Kona Deluxe beans. How many pounds of Kona should she mix with 12lb of French Roast to get a blend to be sold for \$10 a pound? French Roast....\$7.50/lb Kona Deluxe....\$ 11.50/lb please help me I am so confused. thanks1 solutions Answer 288773 by josmiceli(9819)   on 2011-02-17 17:32:58 (Show Source): You can put this solution on YOUR website!Let = pounds of Kona beans needed In words: (cost of French Roast in mixture + cost of Kona in mixture) /(total pounds of mixture) = (cost per pound of mixture) --------------------- given: Cost of French roast in mixture = dollars Cost of Kona in mixture = Toyal pounds of mixture = ----------------------------- 20 pounds of Kona coffee beans are needed check answer: OK
 Equations/410568: help me solve (6/x-2)-(3/x)=(-5/x-4)1 solutions Answer 288683 by josmiceli(9819)   on 2011-02-17 10:27:50 (Show Source): You can put this solution on YOUR website! Multiply both sides by and I'll check for OK
 Equations/410472: (5t-3)(5t+4)+3t-4=At^2+Bt+C Where A= ? B= ? C=? I have looked, and looked and I can not figure this equation out. Please help!!1 solutions Answer 288624 by josmiceli(9819)   on 2011-02-16 23:33:25 (Show Source): You can put this solution on YOUR website!If the roots are r1 and r2, So, B/A is minus the sum of the roots, and C/A is the product of the roots (after you divide through by A) But the left side is not the factored equation, so I'm stuck, too
 Travel_Word_Problems/410351: two planes which are 2745 miles apart fly toward each other. Their speeds differ by 65 mph. If they pass each other in 3 hours, what is the speed of each?1 solutions Answer 288620 by josmiceli(9819)   on 2011-02-16 21:59:31 (Show Source): You can put this solution on YOUR website!They approach at the sum of their speeds Think of one plane not moving and the other moving at and Their speeds are 425 and 490 mi/hr check: and OK
 Mixture_Word_Problems/410424: Meg combines N oz of a solution that is 10% chlorine with Y oz of a solution that is 20% chlorine. SHe ends up with a mixture that contains 1.2 oz of chlorine. 1. Write an equation relating N,Y,and the amount of chlorine in the mixture.1 solutions Answer 288617 by josmiceli(9819)   on 2011-02-16 21:39:41 (Show Source):
 Graphs/410397: Find the slope and the y-intercept of the line. Write the fractional answer in lowest terms. y=-4/5x-9/21 solutions Answer 288615 by josmiceli(9819)   on 2011-02-16 21:35:51 (Show Source): You can put this solution on YOUR website!slope = -4/5 y-intercept = -9/2
 absolute-value/410417: for the equation |x-2|-2=7 I believe your answers are x=11 and x=-3 because once you solve for the first one you have to make a negative equation so you would put: |x-2|-2=NEGATIVE 7. Is this answer correct? I just made up this example problem to help me with my upcoming Algebra quiz. Thank You.1 solutions Answer 288614 by josmiceli(9819)   on 2011-02-16 21:34:15 (Show Source): You can put this solution on YOUR website! and ----------- the answers are
 Evaluation_Word_Problems/410339: one pipe can fill a tank in 3 minutes and a second pipe can fill the same tank in 7 minutes. how long will it take the two pipes to fill up this tank together?1 solutions Answer 288575 by josmiceli(9819)   on 2011-02-16 19:54:26 (Show Source): You can put this solution on YOUR website!Add the rates of filling: (1 tank filled/3 min) + (1 tank filled/7 min) = (1 tank filled / x min) Multiply both sides by both pipes together take 2.1 minutes check answer: OK
 Word_Problems_With_Coins/410333: How many ways can you make 25 cents using pennies, nickels, and dimes?1 solutions Answer 288571 by josmiceli(9819)   on 2011-02-16 19:47:28 (Show Source): You can put this solution on YOUR website!Just pennies: 1 way: 25 pennies --------------- pennies and nickels: 4 ways: 1,2 3, or 4 nickels and the rest pennies: --------------- Just nickels: 1 way 5 nickels -------------- dimes and the rest pennies: 2 ways 1, or 2 dimes ------------- dimes and the rest nickels: 2 ways: 1 dime and 3 nickels 2 dimes 1 nickels ------------ the remaining are combinations of pennies, nickels and dimes (1) 5 pennies 2 nickel 1 dime (2) 10 pennies 1 nickel 1 dime ------------ Adding up: 12 ways
 Triangles/410317: What formula should I use to find the answer to this problem: The base of a 22ft ladder is 8ft from a house. Approximately how far above the ground is the top of the ladder? I drew it and saw that it formed a triangle, but I am not sure if I am supposed to be finding the other side or when I do should I subtract it from 22.1 solutions Answer 288567 by josmiceli(9819)   on 2011-02-16 19:11:41 (Show Source): You can put this solution on YOUR website!You can use the pythagorean theorem. Let = vertical height of top of ladder ft check answer: close enough
 Miscellaneous_Word_Problems/410283: Terri is two years older than Ginnie. Joan is twice Ginnie's age. How old is Ginnie if the sum of the squares of the three ages is 420?1 solutions Answer 288566 by josmiceli(9819)   on 2011-02-16 19:04:53 (Show Source): You can put this solution on YOUR website!Let = Terri's age Let = Ginnie's age Let = Joan's age given: -------------------- Use quadratic formula and and Ginnie is 8 yrs old check answer: OK
 Equations/410277: there are 24 coins made up of quarters and dimes which amount to 3.90\$. how many of each kind of coins are there. let x represent...let y represent1 solutions Answer 288553 by josmiceli(9819)   on 2011-02-16 18:37:12 (Show Source): You can put this solution on YOUR website!(1) (2) (in cents) multiply both sides of (1) by and subtract (1) from (2) (2) (1) and, since (1) There are 14 dimes and 10 quarters
 Linear_Algebra/410212: My homework is in Solving Formulas. The teacher did not explain the problems. Me homework is: F = ma, for a Could you please give me a detailed example of how to figure out this formula? Thank you!1 solutions Answer 288516 by josmiceli(9819)   on 2011-02-16 16:41:00 (Show Source): You can put this solution on YOUR website!The basic rule is: Whatever you do to one side of the (=) sign, you must do to the other side. When you're done, the left side is still equal to the right side. Suppose I say Is it OK to divide both sides by 3? yes because any number divided by itself = 1 ----------- F = ma I can divided both sides by m F/m = ma/m This is the same as F/m = (m/m) x a and notice m/m = 1, so F /m = a That's the answer Hope this helps
 Linear_Equations_And_Systems_Word_Problems/410183: the difference of two numbers is 15. Five times the smaller is the same as 9 less than twice the larger. Find the numbers. HELP!!!!1 solutions Answer 288509 by josmiceli(9819)   on 2011-02-16 16:32:14 (Show Source): You can put this solution on YOUR website!Le the smaller number = Let the larger number = given: (1) (2) ------------ (1) substitute this in (2) (2) (2) (2) (2) and the numbers are 7 and 22
 Inequalities/410187: How do i solve: z² + 8z + 7 ≤ 01 solutions Answer 288505 by josmiceli(9819)   on 2011-02-16 16:23:13 (Show Source): You can put this solution on YOUR website! Solve by completing the square and
 Signed-numbers/410197: How do I solve this problem? An archer has \$100 to spend on a new archery set. a certain set containing a bow and three arrows costs \$40. With the purchase of this set,he can purchase additional arrows for \$6 per arrow. Use an inequality to find the maximum number of arrows he could obtain, including those with the set, for his \$100.1 solutions Answer 288502 by josmiceli(9819)   on 2011-02-16 16:11:48 (Show Source):
 Mixture_Word_Problems/410167: How many liters of a 20% acid solution must be added to 100 liters of a 50% acid solution to get a 40% solution?1 solutions Answer 288500 by josmiceli(9819)   on 2011-02-16 15:49:56 (Show Source): You can put this solution on YOUR website!Let = liters of 20% solution needed given: = liters of acid in 20% solution = liters of acid in 50% solution 50 liters of 20% solution must be added check: OK
 logarithm/410065: Can you pls help with the following: Solve the equation, make the base the same 10^X = 1/1001 solutions Answer 288457 by josmiceli(9819)   on 2011-02-16 12:30:07 (Show Source):
 logarithm/410066: Can you pls help with the following: Solve the equation,leave your answer in "calculator ready" format. ln e^X = 31 solutions Answer 288456 by josmiceli(9819)   on 2011-02-16 12:28:48 (Show Source):
 logarithm/410067: Can you pls help with the following: Solve the equation,leave your answer in "calculator ready" format. ln(3X + 5) = 51 solutions Answer 288455 by josmiceli(9819)   on 2011-02-16 12:27:45 (Show Source):
 Coordinate-system/410069: how do I solve y = –(2/3)x + 30 algebraically determining both the x and y intercepts as ordered pairs?1 solutions Answer 288454 by josmiceli(9819)   on 2011-02-16 12:25:59 (Show Source): You can put this solution on YOUR website!find (0,y) --------- find (x,0) -------- The y-intercept is (0,30) The x-intercept is (45,0)
 Polynomials-and-rational-expressions/409850: Factor completely. a^4-12961 solutions Answer 288367 by josmiceli(9819)   on 2011-02-15 22:52:10 (Show Source): You can put this solution on YOUR website! and, also: and The complete factoring is
 Linear_Equations_And_Systems_Word_Problems/409852: The sum of the digits of a two-digit number is 7. The number formed by reversing the digits is two more than double the original number. Find the original number. 1 solutions Answer 288360 by josmiceli(9819)   on 2011-02-15 22:42:39 (Show Source): You can put this solution on YOUR website!Let the units digit = Let the tens digit = the number is: the number with reversed digits is: given: (1) (2) --------------------------- (2) (2) Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and, since (1) The original number is = 25 check answer: (2) (2) (2) (2) OK
 Travel_Word_Problems/409828: A turbo-jet flies 50 mph. faster than a super-prop plane. If a turbo-jet goes 2000 miles in 3 hours less time than it takes the super-prop to go 2800 miles, find the speed of each plane. I set this up as 2800/10 + 50 = 2000/t-3 when I factor the GCF of t(t-3) I cannot get any further...please help!1 solutions Answer 288356 by josmiceli(9819)   on 2011-02-15 22:24:31 (Show Source): You can put this solution on YOUR website! = speed of super-prop = speed of turbo-jet = time for super-prop to go 2800 mi given: (1) (2) (3) This is 3 equations and 3 unknowns, so it's solvable Substitute (1) in (2) (2) (2) Substitute (3) in (2) (2) (2) (2) (2) (2) and, since (1) (1) The turbo-jet has a speed of 400 mi/hr The super-prop has a speed of 350 mi/hr check answer: (2) (2) (2) (2) (2) hrs and (3) (3) (3) OK
 Inequalities/409829: You are planning to spend no less than 6,000 and no more than 10,000 on your landscaping project. Write an inequality that demonstrates how much money you will be willing to spend on the projet. jmorey@yahoo.com1 solutions Answer 288347 by josmiceli(9819)   on 2011-02-15 21:45:09 (Show Source):
 Linear-equations/409724: Write the slope-intercept equation for the line with slope -2/7 and y-intercept (0,4) and graph the line. Submit a graph, and show all work.1 solutions Answer 288317 by josmiceli(9819)   on 2011-02-15 20:13:07 (Show Source):