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Basic Algebra

Number magic

Pick a number from 1 to 9 (0<x<10). Multiply it by 2. Then add 3 to the result. Now multiply this number by 50, then add 1853 and subtract the year of you birth. You now should have a 3 digit number. The first digit is the number you picked above, and the last 2 digits are your age after your birthday this year (2003). How is t

Square roots

Square root of 100 plus the square root of 200 plus the square root of 300 multiplied by the square root of 400 equals ?

Elementary School Math: Single digit division

This is a day to day problem which can be taken mathematically: There are 23 school buses each carrying 41 kids and teachers on a picnic to the Niagara Falls. How many total number of people are going in this trip? Mathematically, the problem is 41 X 23 = ?

Investigating trios.

Q. Three whole numbers, greater then zero can be used to form a trio. example: (1,2,2) is a trio whose sum is 1+2+2=5 And (2,1,2) is a different trio whose sum is also 5 How many trios can you find with a sum of 5?

Algebra

The equations of two lines are 4x-5y = -15 and y = 4/5x -6 Which of the following describes their point of intersection? A) (5,-2) B) (-5,1) C) (10,-5) D) (No intersection)

Least square applications

1)We wish to measure a wavefront u(x,y) on a 3X3 grid (see the attached file). The sensor how ever provides us only with differences between grid points. There is sensor noise, so the difference measurements may not be consistent. Number the grid points linearly and set up a set of linear equations (matrix form) relating the

Algebra help

Solve, find the solution set, solve for the real values - see attachment

Logs

Lnx+ln(x+2)=4 3^x=45 x=log17 96 I did not know how to put the 17 lower than the log lnx for x=e^x f(6) for x^2+3x-2/x^2-6x=f(x)

Solving equations

For the equation, 5r-3s=24 and 3r+5s=28 solve for r and s by 1. substitution 2. elimination 3. matrix methods (except Cramer's rule) 4. Cramer's rule 5. Graphically

Word problem dealing with volume and perimeter.

A landscaper just finished a garden measuring 6' by 10'. They just have enough money to lay down a concrete path 3" thick using 1 cubic yard of concrete. How wide is the path if it goes completely around the garden?

Solve a radical equation

2 divided by the square root of 3x plus the square root of 3x equals the square root of 3x plus 8

Finding the intersection point between two hikers.

Ronald and Rosa are hiking. Ronald hikes 4 miles per hour. Rosa hikes 5 miles per hour. Ronald leaves camp at 8 am for the trail. Rosa leaves camp at 10 am for the trail. At what time will Rosa catch up to Ronald? Where will they be on the trail? How many miles will they be from camp? If they keep hiking for another 2 hours, how