# Questions on Word Problems: Evaluation, Substitution answered by real tutors!

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 Word Problems: Evaluation, Substitution Solvers Lessons Answers archive Quiz In Depth

 Question 476065: Can you Help me Please with this question ! THANKYOU ! Geologists estimate that the continents of Europe and North America are drifting apart at a rate of an average of 12 miles every 1 million years, or about 0.75 inch per year. If the continents continue to drift apart at that rate, how many inches will they drift in 50 years? Click here to see answer by josmiceli(9678)

 Question 476133: For a positive integer n, if both n and n + 2 are prime, then they are known as twin primes. For example, 59 and 61 are twin primes. Whether or not there are an in finite number of twin primes is a famous unsolved problem in number theory. Find all positive integers such that n, n + 2, and n + 4 are all prime. Click here to see answer by richard1234(5390)

 Question 476124: suppose there is a set of n dice, no two of which are similar. find the maximum value of n. Click here to see answer by richard1234(5390)

 Question 476222: How would you write and solve this as a word problem? A scuba diver has a taut rope connecting the dive boat to an anchor on the ocean floor. The rope is 120 feet long. The water is 65 feet deep. To the nearest tenth of a foot, how far is the anchor from a point directly below the boat? This is what I tried before: I put this in a triangle form and tried to use trigonometric ratios to solve, but that didn't work. I tried putting the triangle in a regular ratio but that did not work either. Click here to see answer by richard1234(5390)

 Question 476158: Does there exist a permutation a1, a2, . . . , a8 of the numbers 1, 2, . . . , 8, such that the 8 numbers a1, a1+a2, . . . , a1+a2+...+a8 all leave a di ффerent remainder when divided by 8? Click here to see answer by richard1234(5390)

 Question 476565: Two cars leave an intersection. One car travels north; the other travels east. When the car traveling north had gone 24 miles, the distance between the cars was four miles more than three times the distance traveled by the car heading east. Find the distance between the cars at that time. Click here to see answer by mananth(12270)

 Question 476566: Next week your math teacher is giving a chapter test worth 100 points. The test will consist of 35 problems. Some problems are worth 2 points and some problems are worth 4 points. How many problems of each value are on the test?) Click here to see answer by Theo(3464)

 Question 476763: So lets say that you want to mow the lawn, but you need to figure out how much money you should spend on gas for the mower. Lets just make an estimate that a half of a gallon can mow 1 lawn (lawn meaning just the front or back of the house). Also, lets say that it costs 3 dollars per gallon. Now you want to mow 5 lawns, how much money for gas do you need? Click here to see answer by Theo(3464)

 Question 476751: What is the demonstration for Fermat's last theorem? Click here to see answer by richard1234(5390)

 Question 476875: Hi, I'm stuck on this one word problem, I want to know the steps in order to solve this problem so I am able to do it in the future. I'm currently working on Rational Expressions. Thank you!!! In 3 minutes, a conveyor belt moves 300 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 7 minutes. If both belts are used, find how long it takes to move the cans to the storage area. Click here to see answer by josmiceli(9678)

 Question 476790: A sine curve has maximum value 1.5, minimum value -1.5, and period 4 times pie. find and equation for this curve Click here to see answer by richard1234(5390)

 Question 477068: Rewrite with positive exponents. Assume that even roots are of nonnegative quantities and that all denominators are nonzero. (4q^-1/z^-3)^-2 Click here to see answer by MathLover1(6632)

 Question 477126: HELP PLEASE !! kevin is registering at a Web Site. he must select a password containing 6 numerals to be able to use the site. How many passwords are allowed if no digit may be used more than once? Click here to see answer by jorel1380(2518)

 Question 477216: for how many positive integers N do the square root of N differ from 10 by less then 2? Click here to see answer by stanbon(57347)

 Question 477225: How any integers are in the solution of the inequality |x+4|<9? Click here to see answer by Alan3354(30993)
 Question 477225: How any integers are in the solution of the inequality |x+4|<9? Click here to see answer by richard1234(5390)

 Question 477215: a set of nine distinct positive integers has mean of 9 and median of 9. what is the greatest possible value of one of these integers? Click here to see answer by Edwin McCravy(8909)

 Question 476872: How many feet from the base of a house must a 39-foot ladder be placed so that the top of the ladder will reach a point on the house 36-feet from the ground ? Can you Help Me With That ? Click here to see answer by bucky(2189)

 Question 477265: is this true or false? If the graphs of two linear equations are parallel, then there is a unique solution to the system Click here to see answer by robertb(4012)

 Question 477266: is this true or false? If the graphs of two linear equation are neither parallel nor the same, then there is a unique solution to the systems Click here to see answer by robertb(4012)

 Question 477271: is this correct? Gauss-Jordan Elimination Method is one of the ways to solve systems of equations Click here to see answer by robertb(4012)

 Question 477272: Can a system of equations contain more than two equations? Click here to see answer by robertb(4012)

 Question 477273: is this true or false? When a system is augmented, it is put into a matrix to be solved using Row Operations Click here to see answer by robertb(4012)

 Question 477269: Is There only one method to find the solution to a system of equations? Click here to see answer by robertb(4012)

 Question 477267: is this true or false? Every system of three linear equations in three unknowns has at least one solution Click here to see answer by robertb(4012)

 Question 477268: is this true or false? If the graph of two linear equations is not parallel, then there may be no solution to the system Click here to see answer by robertb(4012)
 Question 477268: is this true or false? If the graph of two linear equations is not parallel, then there may be no solution to the system Click here to see answer by Joombug(1)
 Question 477268: is this true or false? If the graph of two linear equations is not parallel, then there may be no solution to the system Click here to see answer by richard1234(5390)

 Question 477284: Ellen wishes to mix candy worth \$1.15 per pound with candy worth \$2.87 per pound to form 20 pounds of a mixture worth \$1.58 per pound. how many pounds of the more expensive candy should she use. Click here to see answer by stanbon(57347)

 Question 477248: Please help me to solve those problems. I would really appreciate any help.Thanks! 1)There is a polynomial which, when multiplied by x^2+2x+3, gives 2x^5+3x^4+8x^3+8x^2+18x+9. What is that polynomial? 2)What are the coordinates of the points where the graphs of f(x) = x^3-x^2 + x + 1 and g(x) = x^3 + x^2 + x-1 intersect? 3)The polynomial f(x) has degree 2. If f(0) =-21, f(1) = -16, and f(2) = -9, then what are the x-intercepts of the graph of f? Click here to see answer by robertb(4012)

 Question 477246: Please help me with those questions. Thanks a lot!!!!!!!!! 1)Factor x^4 + 4y^4. 2)What is the coefficient of x in (x^4 + x^3 + x^2 + x + 1)^4? 3)What is the coefficient of x^3 in (x^4 + x^3 + x^2 + x + 1)^4? Click here to see answer by Edwin McCravy(8909)

 Question 477264: is this true? If the graphs of two linear equations are parallel, then there is a unique solution to the system Click here to see answer by Alan3354(30993)

 Question 477270: Does A system of equations have only one equation to solve for? Click here to see answer by richard1234(5390)

 Question 477050: 9. Given the diagram below, find P Q. Write in correct set notation. there are two circles the first circle has a p on the outside and p, e on the inside . the second circles which overlaps each other has s,a,n in it . the other circle has a c, k and has a q on the outside of the circle. Click here to see answer by richard1234(5390)

 Question 477245: Please help me with those problems. Thanks!!!!! 1)Graph x2 + 2xy + y2 = 1. 2)If the parabola de fined by y = ax^2 + 6 is tangent to the line y = x, then calculate the constant a. (A line is tangent to a parabola if it touches the parabola at one point, but is otherwise always "outside" the parabola.) 3)Find a complex number whose square equals i. Click here to see answer by robertb(4012)

 Question 477172: Do you always use the property of distribution when multiplying monomials and polynomials? Click here to see answer by richard1234(5390)

 Question 477325: Can you please help me solve those problems!! Thank you very much!!!! 1)Let f(x) = x^4 -3x^2 + 2 and g(x) = 2x^4 -6x^2 + 2x -1. (a) What is the degree of f(x) * g(x)? (b) Let a be a constant. What is the largest possible degree of f(x) + a * g(x)? (c) Let b be a constant. What is the smallest possible degree of f(x) + b * g(x)? 2)Find t if the product of x^3 - 4x^2 + 2x - 5 and x^2 + tx - 7 has no x^2 term. 3)Assume that f(3) = 4. Find a point on the graphs of each of the following: (a) y = f(x) + 4 (b) y = f(x + 1) (c) y = -2f(2x - 2) (d) y = (1/2)f( x/2 ) 4)Multiplication is commutative because x*y = y *x for all x and y. Multiplication is associative because x *(y *z) = (x *y) *z. The identity of multiplication is 1, because x*1 = x for all x. Let a & b = a + ab + b for all a and b. (a) Is the operation & commutative? (b) Is the operation & associative? (c) What number is the identity of &? (d) What number is the inverse of 3 with respect to &? (Recall that the inverse of 3 with respect to multiplication is 1/3 because 3 * 1/3 equals the identity of multiplication.) Thank you very much for your help!!!! I appreciate it a lot!!!!!!! Thanks!!! Click here to see answer by richard1234(5390)

 Question 477420: a man can complete a work in 5days another man can do the same work in 8days In how many days can the 2men complete a work? Click here to see answer by josmiceli(9678)

 Question 477607: Please help me with those problems. Thanks a lot!!! Multiplication is commutative because x*y = y *x for all x and y. Multiplication is associative because x *(y *z) = (x *y) *z. The identity of multiplication is 1, because x*1 = x for all x. Let a & b = a + ab + b for all a and b. (a) Is the operation & commutative? (b) Is the operation & associative? (c) What number is the identity of &? (d) What number is the inverse of 3 with respect to &? (Recall that the inverse of 3 with respect to multiplication is 1/3 because 3 * 1/3 equals the identity of multiplication.) Thank you very much for your help!!!! I appreciate it a lot!!!!!!! Thanks!!! Click here to see answer by solver91311(16885)

 Question 477515: Find the horizontal and vertical asymptotes for the following rational function f(x) = (x^2 + 2x + 5) / (3x^2 - 11) Click here to see answer by lwsshak3(6505)

 Question 462768: Evaluate the following expression using the Permutation formula Find P(6, 6). Click here to see answer by Scorinitron(19)

 Question 478086: to stay in shape, julie goes running three times a week. on wednesday, she ran 3 mi less than on monday. on friday, she ran twice as far as she ran on wednesday. if she ran 21 mi altogether, how far did she run on friday. Click here to see answer by josmiceli(9678)

 Question 478117: A jet is flying from phoenix to Houston at a r of 600 miles per hour. The distance d between the two cities is about 1200miles. Which equation can be use to find the time t it takes to make the trip? Click here to see answer by Alan3354(30993)

 Question 478240: PLEASE HELP ME PLEASE ! The Griffins bought a netbook for \$250. It the small computer depreciates at a rate of 25% a year, what will it be worth after 3 years? Click here to see answer by Alan3354(30993)

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