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Travel_Word_Problems/350221: A car travels at 60 mph east for 20 min then at 30 mph west for 30 minutes. What is the average speed and average velocity? Average speed I got, 42 mph. Not sure about average velocity. 1 solutions Answer 250334 by solver91311(16897)   on 2010-09-30 14:48:37 (Show Source): You can put this solution on YOUR website! Your answer for speed is correct. In the first 20 minutes, going 60 miles per hour which is the same thing as 1 mile per minute, the car travels 20 miles. In the next 30 minutes, going 30 miles per hour, which is mile per minute, the car travels 15 miles. Total distance: 20 plus 15 is 35 miles. Total time 50 minutes which is hour, so: average SPEED. Notice that speed, being a scalar quantity, doesn't take into consideration the direction of travel. Velocity, on the other hand, is a vector quantity. It has a magnitude (the scalar speed) and a direction. So if the car went 20 miles east and then turned around and traveled 15 miles west, the car would be 5 miles east of the starting point. 5 miles in of an hour. and since the ending point was due east of the starting point, the velocity is 6 mph EAST. John My calculator said it, I believe it, that settles it

Equations/350192: question 1 The slope of a line is 12 and the point (1, 10) is on the line. Express the line in slope-intercept form. question 2 The slope of a line is 11 and the point (14, 19) is on the line. Express the line in slope-intercept form. 1 solutions Answer 250304 by solver91311(16897)   on 2010-09-30 12:58:15 (Show Source): You can put this solution on YOUR website! One question per post. But since these are really just the same question with different numbers, I'll show you how to answer any question like this. The slope intercept form is where is the slope and is the -intercept, that is is the value of the -coordinate of the ordered pair that represents the point where the graph of the line intersects the -axis. So, to solve either of your questions, first substitute the given slope number for . Then take the -coordinate of the given point and substitute for in . And then take the -coordinate of the given point and substitute for in . Making those substitutions will leave you with an equation that has as a variable. Solve for and you will have sufficient information to write your slope intercept equation. John My calculator said it, I believe it, that settles it

percentage/350193: How much interest will be charged on a student loan if $8000 is borrowed for 9 months at a 19.2% annual interest rate? 1 solutions Answer 250300 by solver91311(16897)   on 2010-09-30 12:50:08 (Show Source): You can put this solution on YOUR website! That depends. Are you making monthly payments with interest accruing monthly on the unpaid balance? Are you paying it all at once at the end of the nine months, and if so, is it simple interest or compounded. If compounded, how frequently? John My calculator said it, I believe it, that settles it

percentage/350194: How much principal, invested at 8% annual interest for 3 years, is needed to earn $1000? 1 solutions Answer 250299 by solver91311(16897)   on 2010-09-30 12:49:43 (Show Source): You can put this solution on YOUR website! Simple interest or compounded? If compounded, how frequently? John My calculator said it, I believe it, that settles it

Equations/349915: One board is 1/3 the length of another. Six times the sum of the length of the short board and -10 is equal to the length of the longer board decreased by 11 inches. Find the length of the longer board. I keep getting a negative and length cannot be negative! Please help 1 solutions Answer 250164 by solver91311(16897)   on 2010-09-30 00:01:41 (Show Source): You can put this solution on YOUR website! Let be the measure of the longer board. Then the shorter board is . 6 times the sum of the short board and -10 is then: . The long board minus 11 is Solve for . John My calculator said it, I believe it, that settles it

Matrices-and-determiminant/349960: Please help me with this, same question is on the test tomorrow according to the prof. Thank you so much Solve using Gauss-Jordan Elimination: As the school psychologist, you are consulting with the staff nutritionist about one of your student's low energy and propensity for minor illness. the nutritionist has suggested a daily routine of 350 units of vitamin C, 4200 units of Vitamin A, and 400 units of Vitamin D. She also recommends the following sources of these vitamins: Megadose Supra contains 50 units of C, 1000 units of A, and 100 units of D per capsule. Crazy Caps contains 100 units of C, 200 units of A, and 100 units of D. Formula I contains 50 units of C, 500 units of A and no Vitamin D per capsule. How many of each capsule should the student take to get the recommended dosages? 1 solutions Answer 250160 by solver91311(16897)   on 2010-09-29 23:44:37 (Show Source): You can put this solution on YOUR website! Already answered this one.

Miscellaneous_Word_Problems/349996: Write equations of two functions f and g such that f composed of g = g composed of f = x. 1 solutions Answer 250159 by solver91311(16897)   on 2010-09-29 23:43:23 (Show Source): You can put this solution on YOUR website! John My calculator said it, I believe it, that settles it

Money_Word_Problems/349991: A company charges $200 for each box of tools on orders of 150 or fewer boxes. If a customer orders x boxes in excess of 150, the cost of each box ordered is reduced by x dollars. If a customer's bill came to $30,625, how many boxes were ordered? 1 solutions Answer 250152 by solver91311(16897)   on 2010-09-29 23:34:04 (Show Source): You can put this solution on YOUR website! 150 times 200 is 30000, so clearly more than 150 were ordered. Hence the price of each box is and the number of boxes ordered is , so: Solve for . Add to 150. John My calculator said it, I believe it, that settles it

Equations/349993: Half the number y is equal to y minus ten 1 solutions Answer 250147 by solver91311(16897)   on 2010-09-29 23:11:23 (Show Source): You can put this solution on YOUR website! Fascinating. So what's your question. John My calculator said it, I believe it, that settles it

Miscellaneous_Word_Problems/349961: Please help me with this, same question is on the test tomorrow according to the prof. Thank you so much Solve using Gauss-Jordan Elimination: As the school psychologist, you are consulting with the staff nutritionist about one of your student's low energy and propensity for minor illness. the nutritionist has suggested a daily routine of 350 units of vitamin C, 4200 units of Vitamin A, and 400 units of Vitamin D. She also recommends the following sources of these vitamins: Megadose Supra contains 50 units of C, 1000 units of A, and 100 units of D per capsule. Crazy Caps contains 100 units of C, 200 units of A, and 100 units of D. Formula I contains 50 units of C, 500 units of A and no Vitamin D per capsule. How many of each capsule should the student take to get the recommended dosages? 1 solutions Answer 250146 by solver91311(16897)   on 2010-09-29 23:09:44 (Show Source): You can put this solution on YOUR website! Let represent the number of pill #1. Let represent the number of pill #2. Let represent the number of pill #3. Divide the first equation by 50, the second by 100, and the third by 100. Solution set: John My calculator said it, I believe it, that settles it

Miscellaneous_Word_Problems/349947: how do i translate this...three times the sum of a number and four equals the number plus eight 1 solutions Answer 250100 by solver91311(16897)   on 2010-09-29 21:29:31 (Show Source): You can put this solution on YOUR website! A number: The sum of a number and four: Three times the sum of a number and four: The number plus eight: John My calculator said it, I believe it, that settles it

Probability-and-statistics/349911: A coin is tossed five times. Find the probability that the sixth toss is a tail, given that the first five tosses were all tails. If a die is rolled one time, find the probability of getting a number greater than five. If one card is drawn from an ordinary deck of cards, what is the probability that the card will be an ace, a king of hearts, or a spade. A pet supplier has a stock of parkeets of which thirty percent are blue parakeets. A pet store orders three parakeets from this supplier. If supplier selects the parakeets at random, what is the chance that the pet store gets exactly one blue parakeet? A university has 10,000 students of which 4000 are male and 6000 are female. If a class of 30 students is chosen at random from university population, find the mean and variance of the number of male students. 1 solutions Answer 250072 by solver91311(16897)   on 2010-09-29 20:10:10 (Show Source): You can put this solution on YOUR website! One question per post. Find the probability that the sixth toss is a tail, given that the first five tosses were all tails Presuming that the coin is a fair coin, the probability that the sixth toss is a tail is the same as any other trial, namely . But since the probability of tossing 5 tails in a row with a fair coin is only , you might want to investigate whether the coin that tossed 5 tails in a row was actually a fair coin. John My calculator said it, I believe it, that settles it

Travel_Word_Problems/349899: if a car stops at 270ft going 70 mph how many feet for a car going 60 mph 1 solutions Answer 250068 by solver91311(16897)   on 2010-09-29 20:05:07 (Show Source): You can put this solution on YOUR website! Neglecting driver reaction time, a car's stopping distance is directly proportional to the square of the speed. Therefore Hence: John My calculator said it, I believe it, that settles it

Probability-and-statistics/349766: Approximately 15% of the calls to an airline reservation phone line result in a reservation being made. What is the probability that at least one call results in a reservation being made? (Give the answer to 3 decimals places.) 1 solutions Answer 250060 by solver91311(16897)   on 2010-09-29 19:48:18 (Show Source): You can put this solution on YOUR website! Can't answer this specifically because you didn't share the number of trials. The probability of successes in trials where is the probability of success on any given trial is given by: Where is the number of combinations of things taken at a time and is calculated by You have and you have is at least 1. But you didn't give . The probability of at least 1 is the probability of exactly 1 plus the probability of exactly 2 plus exactly 3...and so on up to the probability of exactly out of . Such a calculation would look like this: The calculation of which, depending on the size of , could range anywhere from mildly uncomfortable to excruciating. Ah, but take heart, Grasshopper! There is a better way. Note that if "at least 1" is one possibility, then the only other possiblity is "none at all". Hence the probability of "at least one" plus the probability of "none at all" must equal 1. Therefore, if you calculate the probability of none at all and subtract that from 1, you get your desired probability. . But since and , this all reduces to: . All you need to do is determine and then do the arithmetic. John My calculator said it, I believe it, that settles it

Linear-systems/349856: What is the slope of (3,2.75)and (-2,-1) 1 solutions Answer 250052 by solver91311(16897)   on 2010-09-29 19:04:57 (Show Source): You can put this solution on YOUR website! Use the slope formula: where and are the coordinates of the given points. John My calculator said it, I believe it, that settles it

Expressions-with-variables/349803: If x-5=2, what is the value of 3x-5? A fish tank contains 25 trout,20 bass, 15 perch, and no other kinds of fish. If one of theses fish is to be chosen at random, what is the possibility that the fish chose will be a trout? if (x-3)(x+3)=a, then ( 2x-6)(x+3)=? Which of the following could be represented by the expression 7-n/2? 1 solutions Answer 250020 by solver91311(16897)   on 2010-09-29 17:33:14 (Show Source): You can put this solution on YOUR website! One question per post. But by factoring a 2 out of the first binomial. But since John My calculator said it, I believe it, that settles it

Coordinate-system/349799: what is the pattern? 1,1,2,3,5,6,13,21,34,55,89,144,233,327,610 1 solutions Answer 250012 by solver91311(16897)   on 2010-09-29 17:23:52 (Show Source): You can put this solution on YOUR website! I think you made an error in listing your series elements. I believe it should have been: In which case this is the Fibonacci series that begins with 1, 1 and then follows the pattern . John My calculator said it, I believe it, that settles it

Travel_Word_Problems/349792: . Choose the best answer to the following question. If X is the set of positive multiples of 2, and Y is the set of positive multiples of 3, then the intersection of X and Y is: 1 solutions Answer 250007 by solver91311(16897)   on 2010-09-29 17:16:31 (Show Source): You can put this solution on YOUR website! The set of positive multiples of 6. John My calculator said it, I believe it, that settles it

Coordinate-system/349775: The fibonacci numbers are the following: 1,1,2,3,5,8,13 Describe this sequence and continue till you get 15 fibonacci numbers. 1 solutions Answer 249991 by solver91311(16897)   on 2010-09-29 16:41:23 (Show Source): You can put this solution on YOUR website! The Fibonacci series is constructed by starting with 1, 1 and then adding the last two terms to get the next term, thus . For example, the term after 13 is 8 + 13 = 21. John My calculator said it, I believe it, that settles it

test/349761: If the cm is 60. What is the length? 1 solutions Answer 249986 by solver91311(16897)   on 2010-09-29 16:23:40 (Show Source): You can put this solution on YOUR website! So if I understand your question correctly, you have a line segment that is marked as being 60 centimeters (cm) long and you want me to tell you how long it is? John My calculator said it, I believe it, that settles it

Equations/349759: this is my question -5x-10=2-(x+4) 1 solutions Answer 249983 by solver91311(16897)   on 2010-09-29 15:56:33 (Show Source): You can put this solution on YOUR website! No, that is not your question. That is simply a linear equation in . A couple of the many questions you could have asked about this equation are: "What are the steps to solving this equation?" "What are all of the elements of the solution set of this equation?" "How should the Distributive Property of Multiplication over Addition used in the solution process of this equation?" John My calculator said it, I believe it, that settles it

Linear-equations/349760: its told me ...graph x+2y=4 1 solutions Answer 249982 by solver91311(16897)   on 2010-09-29 15:51:24 (Show Source): You can put this solution on YOUR website! Step 1. Pick a value for x. It can be anything you like, but 0, 1, or some other small integer usually works well and makes the arithmetic easier. Step 2. Substitute that value in place of x in your equation. Do the arithmetic and determine the value of y that results. Step 3. Take the value of x that you selected for step 1 and the value of y that you calculated in step 2 and form an ordered pair (x,y). Step 4. Plot the ordered pair from Step 3 on your graph. Remember that the x value is the distance right or left along the horizontal axis and the y value is the distance up or down along the vertical axis. Step 5. Repeat steps 1 through 4 with a different value for x. Step 6. Draw a line across your graph that passes through the two points that you plotted. John My calculator said it, I believe it, that settles it

Graphs/349751: you are planning to spend no less than $6,000 and no more than $10,000 on your landscape project. write an inequality that demonstrates how much money you will are willing to spend on the project. 1 solutions Answer 249981 by solver91311(16897)   on 2010-09-29 15:37:43 (Show Source): You can put this solution on YOUR website! Contrast this with "more than 6000 and less than 10000": John My calculator said it, I believe it, that settles it

Rectangles/349750: what is the area of a section that is 10ft wide and a 100yds long? solve in square feet? 1 solutions Answer 249980 by solver91311(16897)   on 2010-09-29 15:32:26 (Show Source): You can put this solution on YOUR website! The area of a rectangle is simply the length times the width IF both length and width are specified in the same units. Since you want the area expressed in square feet, then you must have both of the rectangle's dimensions expressed in feet. Each yard is equal to 3 feet. John My calculator said it, I believe it, that settles it

Volume/349746: I have a round container which measures 12" in diameter and 9" deep. How many gallons will this container hold 1 solutions Answer 249979 by solver91311(16897)   on 2010-09-29 15:29:37 (Show Source): You can put this solution on YOUR website! By "round container," I presume you mean a right circular cylinder -- the shape of a canned tuna can, but somewhat larger. The volume of a cylinder is given by the area of the base, i.e. , times the height. Remember that the radius is one-half of the diameter. Divide the volume in cubic inches by 231 to get US liquid gallons, or by 268.8 to get US dry gallons (1/8 of a Winchester bushel) or by 277.4 to get Imperial gallons. John My calculator said it, I believe it, that settles it

Linear-equations/349745: Write the equation in slope-intercept form for the line passing through each pair of points (-1,3) and (2,-5) 1 solutions Answer 249977 by solver91311(16897)   on 2010-09-29 15:21:26 (Show Source): You can put this solution on YOUR website! Use the two-point form of an equation of a line: where and are the coordinates of the given points. Then arrange the equation into form. John My calculator said it, I believe it, that settles it

Money_Word_Problems/349362: An office has some 20 cent stamps and some 28 cent stamps. Altogether the office has 140 stamps for a total value of $31.20. How many of each type of stamp does the office have? 1 solutions Answer 249743 by solver91311(16897)   on 2010-09-28 18:37:06 (Show Source): You can put this solution on YOUR website! You have a collection of two types of things. You have of one type of thing and of the other type of thing such that the total number of things you have is a known number . The value of the first kind of thing is each and the value of the second kind of thing is each and you know the total value of both of your things is . You can then say: and Giving you a system of linear equations. Solve the system for and using substitution, elimination, or Cramer's rule. John My calculator said it, I believe it, that settles it

expressions/349323: Will someone please show me (with steps) how to evaluate the following integrals? a) cos^3 x dx b) x sin 11x dx Any help would be great. -Thanks. 1 solutions Answer 249742 by solver91311(16897)   on 2010-09-28 18:25:52 (Show Source): You can put this solution on YOUR website! Just use a table of integrals. In your case, , so: For the other one: Just fill in your value of John My calculator said it, I believe it, that settles it

Miscellaneous_Word_Problems/349235: The circumference of a rear wheel of a certain wagon is 3 feet longer than the circumference of the front wheel. The rear wheel makes 100 fewer revolutions than the front wheel in travelling a distance of 6000 feet. Find the circumference of each wheel. 1 solutions Answer 249687 by solver91311(16897)   on 2010-09-28 15:46:16 (Show Source): You can put this solution on YOUR website! Let represent the circumference of the smaller wheel. Then is the circumference of the larger wheel. Divide the circumference into the distance traveled to get the number of revolutions. Let be the number of revolutions of the front wheel. Then the number of revolutions of the back wheel must be Now we can write two equations: and Solve the second equation for : Verification of the addition in the last step is left as an exercise for the student. Now that we have two different expressions both equal to , set them equal to each other: Cross-multiply, collect like terms, and put the equation into standard form: Divide both sides by 100: Factor, solve the quadratic, discard the negative root. The positive root will be the circumference of the smaller wheel. The positive root plus three will be the circumference of the larger wheel. John My calculator said it, I believe it, that settles it

Numbers_Word_Problems/349236: Three less than the sum of 2 and some number is ? 1 solutions Answer 249679 by solver91311(16897)   on 2010-09-28 15:27:45 (Show Source): You can put this solution on YOUR website! One less than the number where the number is any real number. John My calculator said it, I believe it, that settles it

Numbers_Word_Problems/349226: A number is 6 less its square. Find all such numbers. 1 solutions Answer 249676 by solver91311(16897)   on 2010-09-28 15:26:30 (Show Source): You can put this solution on YOUR website! Let represent the number. Then: Which is to say: Factor and solve the quadratic for both values of . John My calculator said it, I believe it, that settles it