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Recent problems solved by 'josmiceli'

josmiceli answered: 9642 problems
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Average/587371: Gina earns score of 65,78,85, and 82 on four tests. What grade must she earn on the next to have an average of 80? 1 solutions Answer 374086 by josmiceli(9645)   on 2012-03-15 15:59:39 (Show Source): You can put this solution on YOUR website! Let = her grade on the next test From the definition of an average: She needs a 90 on the next test to average 80

Geometry_Word_Problems/587367: What number between 20 and 30 is four times the sum of it's two digits? 1 solutions Answer 374083 by josmiceli(9645)   on 2012-03-15 15:55:52 (Show Source): You can put this solution on YOUR website! The number has to begin with Let the units digit = The value of the number is given: The number is 24 check: OK

Age_Word_Problems/587364: Holly is 6yrs younger than her sister. Holly's mother is 44 twice the sum of the age of her two children how old is holy 2x-6=44 1 solutions Answer 374081 by josmiceli(9645)   on 2012-03-15 15:47:24 (Show Source): You can put this solution on YOUR website! Let = Holly's age Let = Sister's age Let = Mother's age given: (1) (2) (3) ------------------ Substitute (2) into (3) (3) Substitute (1) into (3) (3) (3) (3) (3) (3) and (1) (1) (1) and (3) (3) (3) (3) OK Holly is 8

Linear-equations/587363: write an equation in slope intercept form for a line that passes through the given point and that is perpendicular to the given line. x= -7; (0,2) 1 solutions Answer 374080 by josmiceli(9645)   on 2012-03-15 15:38:42 (Show Source): You can put this solution on YOUR website! is a vertical line through (-7,0) Think of the equation as saying: " I am a line that always sees on the x-axis, and I don't care what is." Any line perpendicular to this line will be a horizontal line which means it has slope = . If the general form of an equation is , where = slope, then I have The line goes through (0,2), which is on the y-axis It intersects the given vertical line at (-7,2). Both these points tell me that the equation is

Linear-systems/587193: The point (3, 2) lies on the line 11x – 6y = 21. Determine if this point is a solution of the system 11x – 6y = 21 9x + 8y = 43 1 solutions Answer 374026 by josmiceli(9645)   on 2012-03-15 06:21:03 (Show Source): You can put this solution on YOUR website! Does (3,2) also lie on ? Yes, it solves this system

Age_Word_Problems/587199: If a father is now 5 times as old as his son, how many years ago was the son 2 years old and the father 34 years old? 1 solutions Answer 374024 by josmiceli(9645)   on 2012-03-15 06:16:31 (Show Source): You can put this solution on YOUR website! Start when Son was 2 and Father was 34 Add the same number of years, , to each one's age Let that be when Father is 5 times Son's age, and find 6 years ago the Son was 2 and the Father was 34 check: The Son is now The Father is now That is correct

test/587200: Good day to you all. Please determine the nature of the solutions to each equation without solving it. 1.) 25x^2 - 10x + 1 = 0 2.) x^2 + x +2 = 0 3.) 5x^2 - x = 0 Thank You. 1 solutions Answer 374023 by josmiceli(9645)   on 2012-03-15 06:06:34 (Show Source): You can put this solution on YOUR website! Look at where the equation has the form (1) This means there is 1 real solution It is called a double root --------------------------------- (2) This is minus, so there are 2 imaginary roots ( look like and ) ----------------------------------- (3) This is plus, so there are 2 real roots ------------------------------------- Here's plots of the 3 equations. Touching the x-axis: 1 solution Not touching at all: 2 imaginary solutions Touching twice: 2 real solutions

Numbers_Word_Problems/587059: the sum of two numbers is 19. if 5 times the smaller number is 3 less than twice the larger number, what are the two numbers? thanks God bless. 1 solutions Answer 373968 by josmiceli(9645)   on 2012-03-14 21:21:17 (Show Source): You can put this solution on YOUR website! Let the numbers be and given: (1) Let = the smaller number (2) (2) Substitute (2) into (1) (1) (1) (1) (1) (1) and, since (1) (1) (1) The numbers are 5 and 14 check: (2) (2) (2) (2) OK

Matrices-and-determiminant/586997: How can you translate the graph of y=|x| to obtain the graph of y=|x-4|+2? a.)4 units left and 2 units up b.)4 units left and 2 units down c.)4 units right and 2 units up d.)4 units right and 2 units down 1 solutions Answer 373957 by josmiceli(9645)   on 2012-03-14 19:15:27 (Show Source): You can put this solution on YOUR website! I notice 2 things: (1) can never be negative (2) the smallest value of is when , ------------------------ has a minimum at , The translation is (c) 4 units right and 2 units up Here's the plot of :

Inverses/586443: I am trying to refresh my mind. Please show me how to work this problem. 1/2+(2/3 divided 3/4)-(4/5 times 5/6)= 1 solutions Answer 373753 by josmiceli(9645)   on 2012-03-13 18:18:01 (Show Source): You can put this solution on YOUR website! Separate ou the 2nd term and multiply the top and bottom by ----------- So far I have The common denominator is answer I like to check using decimals and I think the error is due to rounding off

Linear-systems/586442: what is 4(x+7)=7+x?? 1 solutions Answer 373749 by josmiceli(9645)   on 2012-03-13 17:58:24 (Show Source): You can put this solution on YOUR website! Subtract from both sides Subtract from both sides Divide both sides by check answer: OK

Money_Word_Problems/586013: In the cash drawer at a bank, the ratio of the number of $1 bills to the number of $5 bills is 5 to 4, and the ratio of $10 bills to $20 bills is 2 to 1. These bills represent the total amount of money in the drawer: $6795. How many $1 bills are in the drawer? I know how to do basic ratio problems, but being that this one involves money, it just confuses me... Please help! I would /really/ appreciate it. 1 solutions Answer 373611 by josmiceli(9645)   on 2012-03-12 20:59:03 (Show Source): You can put this solution on YOUR website! The way I do it is: Let = number of $1 bills Let = number of $5 bills Let = number of $10 bills Let = number of $20 bills -------------------------- given: (1) (2) (3) ------------------------------- This is 4 unknowns and only 3 equations, so it isn't completely solvable, but the information can still be there ----------------------- (1) (1) and (2) ------------- The possible combinations of $1s and $5s is: 5 $1s 4 $5s ----- 10 $1s 8 $5s ----- 15 $1s = $15 12 $5s = $60 ----- Whatever combination I choose, the remainder of the money must be divisible by $40 ( 1 $20 and 2 $10s ) this seems to work 168 $20s = $3360 336 $10s = $3360 12 $5s = $60 15 $1s = $15 ------------ sum = $6795 I don't know if another combination will work. This one seems to.

Exponents/586023: i need help on scientific notation! if i have a problem like this: (5 x 10 to the 5th) to the negative 2nd ......how do i solve it? 1 solutions Answer 373578 by josmiceli(9645)   on 2012-03-12 19:26:03 (Show Source): You can put this solution on YOUR website! Is this the problem: Rewrite this as: ---------------------- You can do this because of general rules: (1) (2) ---------------------- and so far, I have: Now I have: answer

Numbers_Word_Problems/585870: 50 children bought either chocolate or white milk. Chocolate milk costs $.30 and white milk costs $.25. the total cost of milk sold was 13.30.How man chocolate and white milks were sold? Easiest way to solve this. 1 solutions Answer 373517 by josmiceli(9645)   on 2012-03-12 14:13:12 (Show Source): You can put this solution on YOUR website! Let = number of white milks sold Let = number of chocolate milks sold given: (1) (2) ( in cents ) ------------------- Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and, since (1) (1) (1) 34 white milks were sold 16 chocolate milks were sold check answer: (2) (2) (2) OK

percentage/585869: Twice the difference of a number and seven is tripled, the result is eight times a number 1 solutions Answer 373516 by josmiceli(9645)   on 2012-03-12 14:02:49 (Show Source): You can put this solution on YOUR website! given: The number is 3

Travel_Word_Problems/585862: it takes me about 30 minute to travel 25 miles. What is my average speed? 1 solutions Answer 373515 by josmiceli(9645)   on 2012-03-12 13:57:48 (Show Source): You can put this solution on YOUR website! In 1 hour you could go twice as far, or 50 miles Your average speed is 50 mi/hr

Equations/585857: write the equation in slope intercept form. (-1,2) (1,-4), and (0,0) (-3,-2) 1 solutions Answer 373512 by josmiceli(9645)   on 2012-03-12 13:54:59 (Show Source): You can put this solution on YOUR website! here's the plot:

test/585858: A+a+a 1 solutions Answer 373502 by josmiceli(9645)   on 2012-03-12 13:21:26 (Show Source): You can put this solution on YOUR website! A + a + a = A + 2a

logarithm/585855: Write these expressions as a single logarithm: 1. log3 24 + log3 2 2. 3 logx + 5 log y 1 solutions Answer 373501 by josmiceli(9645)   on 2012-03-12 13:20:44 (Show Source): You can put this solution on YOUR website! (1) Use the general rule: (1) ------------------- (2) Use the previous rule and also: (2) (2)

Mixture_Word_Problems/585850: How many liters of pure alcohol must be added to 10 liters of a 70% solution to obtain a 90% solution? I know the answer is 20 liters, but I need help with the equation I would use to figure this out on my own please. 1 solutions Answer 373498 by josmiceli(9645)   on 2012-03-12 13:11:48 (Show Source): You can put this solution on YOUR website! Let = liters of pure alcohol to be added liters of alcohol in 70% solution In words: ( liters of alcohol you end up with ) / ( total liters of solution ) = 90% 20 liters of pure alcohol must be added

Rate-of-work-word-problems/585848: A mowed 3/4 at his lawn in 5/4 hours.B who works twice as fast finished the job.how many minutes did B work? 1 solutions Answer 373497 by josmiceli(9645)   on 2012-03-12 13:04:11 (Show Source): You can put this solution on YOUR website! If A mowed 3/4 of his lawn, there is 1/4 left for B to mow ------------- If A mowed a lawn 4 times as large, it would take him 4 times longer, so lawns take him hrs 1 lawn would take him 1/3 of that time, or hrs ------------- If B works twice as fast, he can mow 1 lawn in hrs But B only has to mow 1/4 of a lawn, so B can mow it in hrs hrs x min/hr = 12.5 minutes

Money_Word_Problems/585812: Rick and sandy bought some raffle tickets together and won the prize of $3,600. if rick and sandy agreed to split the winnings at a ratio of 8 to 7 (ricks winnings to sandys winnings) how much did each of them receive? 1 solutions Answer 373496 by josmiceli(9645)   on 2012-03-12 12:51:21 (Show Source): You can put this solution on YOUR website! Let = Rick's share Let = Sandy's share given: (1) (2) ------------- Multiply both sides of (2) by (2) (2) Substitute this into (1) (1) (1) (1) (1) and, since (1) (1) (1) Rick gets $1,920 Sandy gets $1,680 check: (2) (2) (2) (2) OK

logarithm/585822: Find log of -3.7*10^2 1 solutions Answer 373490 by josmiceli(9645)   on 2012-03-12 11:41:11 (Show Source): You can put this solution on YOUR website! This can't be done. Logs are exponents, and there is no exponent with a positive base that possibly give you a negative number. Note that a negative exponent with a positive base still gives you a positive number. ---------------------------- Look for an error in signs if you are required to find the log of this number.

Travel_Word_Problems/585813: if David does a job in 78 hours and with the help of Jacqueline they can do it together in 26 hours, how long would it take Jacqueline to do it alone? 1 solutions Answer 373489 by josmiceli(9645)   on 2012-03-12 11:36:15 (Show Source): You can put this solution on YOUR website! Add their rates of working to get their rate working together. David's rate: ( 1 job ) / ( 78 hrs ) Let J's rate = ( 1 job ) / ( t hrs ) Rate working together: ( i job ) / ( 26 hrs ) -------------------------------- Note that Multiply both sides by Jacqueline working alone can do the job in 39 hrs

Angles/585807: Joe has a collection of nickles and dimes that is worth $7.05. If the number of dimes were doubled and the number of nickels were increased by 7, the value of the coins would be $13.30. How many dimes does he have? 1 solutions Answer 373488 by josmiceli(9645)   on 2012-03-12 11:28:49 (Show Source): You can put this solution on YOUR website! Let = number of nickels Let = number of dimes given: (1) ( in cents ) (2) -------- (2) (2) Subtract (1) from (2) (2) (1) and, since (1) (1) (1) (1) (1) He has 23 nickels and 59 dimes check: (2) (2) (2) (2) OK

Complex_Numbers/585798: When simplifying expressions that involve complex numbers, How do I determine what the values of the numbers will be? I need help with solving expressions containing these. Ex: (4-5i) (1-i) (3-4i)/(4-3i) 1 solutions Answer 373487 by josmiceli(9645)   on 2012-03-12 11:09:31 (Show Source): You can put this solution on YOUR website! Combine like terms. Note that --------------- Combine like terms, again, ---------

Probability-and-statistics/585802: Find the common denominator and smallest number that has both denominator as a factor. Write these pairs of fractions with common denominators. 1. 5/8 and 1/2 2. 3/4 and 1/8 3. 1/4 and 1/2 4. 1/2 and 3/8 5. 3/4 and 5/8 6. 7/8 and 1/4 1 solutions Answer 373486 by josmiceli(9645)   on 2012-03-12 10:58:33 (Show Source): You can put this solution on YOUR website! 1. 5/8 and 4/8 2. 6/8 and 1/8 3. 1/4 and 2/4 4. 4/8 and 3/8 5. 6/8 and 5/8 6. 7/8 and 2/8

Money_Word_Problems/585730: Can you please help me on this equation: How many liters of water are needed to dilate 20 liters of a 5% salt solution to a 1% solution? 1 solutions Answer 373451 by josmiceli(9645)   on 2012-03-12 01:32:26 (Show Source): You can put this solution on YOUR website! Let = liters of water needed given: liter of salt in 5% solution 80 liters of water are needed check: OK

Rectangles/585620: Two cars start from the same place traveling in opposite directions one car travels 5 miles per hour faster than the other car.find the speeds of the two cars if after 6 hours they are 570 miles apart? 1 solutions Answer 373428 by josmiceli(9645)   on 2012-03-11 20:51:54 (Show Source): You can put this solution on YOUR website! They are moving apart at the sum of their speeds Let = the speed of the slower car The speeds of the cars are 45 mi/hr and 50 mi/hr

Mixture_Word_Problems/585605: A solution of 75% pesticide is to be mixed with a solution of 35% pesticide to form 440 liters of a 43% solution. How many liters of the 75% solution must be used? 1 solutions Answer 373426 by josmiceli(9645)   on 2012-03-11 20:48:04 (Show Source): You can put this solution on YOUR website! Let = liters of 75% pesticide needed Let = liters of 35% pesticide needed given: (1) (2) ----------------------------- (2) (2) (2) (2) Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and, since (1) (1) (1) (1) 88 liters of 75% pesticide are needed 352 liters of 35% pesticide are needed check: (2) (2) (2) (2) (2) OK

Numbers_Word_Problems/585595: Please help me solve this problem: The sum of the reciprocals of two numbers is 7 and the difference of their reciprocals is 3. What are the number? Thanks.. 1 solutions Answer 373414 by josmiceli(9645)   on 2012-03-11 20:32:30 (Show Source): You can put this solution on YOUR website! Let the numbers be and given: (1) (2) ------------------ Just add the equations and (1) (1) (1) (1) The numbers are 1/5 and 1/2