*Once expressed in symbols, solving a math problem is relatively easy.It can almost always be done by performing some purely mechanical process or “algorithm” (although it often helps to have a more intuitive understanding as well).You still can’t build a house unless you know where and when to use these tools. Word problems are an important part of our mathematical education because real-life problems almost never present themselves to us in symbolic form.*

*Once expressed in symbols, solving a math problem is relatively easy.It can almost always be done by performing some purely mechanical process or “algorithm” (although it often helps to have a more intuitive understanding as well).You still can’t build a house unless you know where and when to use these tools. Word problems are an important part of our mathematical education because real-life problems almost never present themselves to us in symbolic form.*

Software programs like know almost all these algorithms and can solve pretty much any symbolic problem you can think of.

But knowing how to solve symbolic math problems is like knowing how to use a saw to cut wood and a hammer to drive nails.

We will call the smaller integer n, and so the larger integer must be n 2 And we are told the product (what we get after multiplying) is 168, so we know: n(n 2) = 168 We are being asked for the integers Solve: That is a Quadratic Equation, and there are many ways to solve it.

Using the Quadratic Equation Solver we get −14 and 12.

Product Y requires 1 part of type I and 3 parts of type II fertilizers.

If each product sells for 00, what is the maximum revenue and how many of each product should be made and sold to maximize revenue?Check There are now 16 boys and 12 girls, so the ratio of boys to girls is 16 : 12 = 4 : 3 At the start of the year there were 20 boys and 10 girls, so the ratio was 20 : 10 = 2 : 1 Consecutive means one after the other.And they are even, so they could be 2 and 4, or 4 and 6, etc.This is what Wolfram|Alpha does with elementary word problems: it not only gives you the answers, but it also helpfully translates the information in the problems into mathematical symbols, showing you the first (and most important) steps toward finding a solution.Here’s what Wolfram|Alpha says if we enter the first problem: If I have 12 apples, and Jane has 7, and then Jane gives 2 apples to me, how many more apples do I have than Jane? Statistic= What about this: I own a house in a school district that has a yearly budget of 0 million.So his normal pay of 40 × = 0, plus his overtime pay of 12 × = 0 gives us a total of 0 There are 12 girls!And 3b = 4g, so b = 4g/3 = 4 × 12 / 3 = 16, so there are 16 boys So there are now 12 girls and 16 boys in the class, making 28 students altogether.The refractive index of gases, like air, changes linearly with the pressure according to the equation: n=1 3.6315exp-7P ( n is refractive index and P is pressure in Torr).Suppose a laser light (450 nm) in a double slit experiment produces second bright fringe at 1.3 degrees in normal air pressure (760 Torr). A house painter was mixing up different colors to paint his own house. How many milliliters of paint were left over after the house painter finished those two rooms?The company mixes these fertilizer into two products.Product X requires 2 parts of type I and 1 part of type II fertilizers.

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