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You will have 10,851.67 dollars.

The answer is [200,750].

The area of triangle BMD is 33/2.

BZ = 65/4.

The solutions are (3,11) and (11,3).

a^2(b-c)+b^2(c-a)+c^2(a-b) = - 26sqrt(13)

p  +  q = - 26 + 13 = - 13

(a,L) = (4,12)

The answer is 4.3 seconds.

The number of ways is 325.

1. The answers are A, B, F, H, I.

2. The answers are B, C, E, G, J

3. The answers are A, D, H, I.

The sum of all values is 18.

The minimum value is 17.25.

The expression evaluates to 4*sqrt(143), so the answer is 147.

[25^2  +  72^2] = 5809 = 37 * 157

157 is the largest prime factor.

First things first, what is a lattice point?  

It's just a point on a grid of points.  Think of a sheet of graph paper.  

An ant walks directly from (0, 0) to (24, 18). How many lattice points does it walk through while traveling?  

The ant walks to a point that's 24 over and 18 up, except he goes in a straight line.  

Think of the ant's route as the hypotenuse of a right triangle with legs 24 and 18.  

In a right triangle, the hypotenuse is the square root of the sum of the squares of the legs. 

This is usually represented as c² = a² + b²     In this case, c²  =  24² + 18²  =  900  

                                                                                            c  =  sqrt(900)  =  30  

_.

Parker and his three friends went trick-or-treating together. If Parker got 11 pieces of candy, and each of his friends got three times as much candy as he did, how many pieces of candy did Parker and his friends get in all?  

Parker         11 pieces  

1^st friend     33 pieces  

2^nd friend    33 pieces  

3^rd friend     33 pieces  

TOTAL       110 pieces of candy  

_.

The first term of a sequence is 13. Starting with the second term, each term is the sum of the cubes of the digits in the previous term. For example, the second term is 1^3 + 3^3 = 28. Find the 5th term.    

1st term       13      1³ + 3³  =  1 + 27  =  28  

2nd term      28      2³ + 8³  =  8 + 512  =  520  

3rd term      520     5³ + 2³ + 0³  =  125 + 8 + 0  =  133  

4th term      133      1³ + 3³ + 3³  =  1 + 27 + 27  =  55  

5th term        55

_.

See https://web2.0calc.com/questions/counting-problem_42434

See https://web2.0calc.com/questions/counting-problem_42434

See https://web2.0calc.com/questions/counting-problem_42434

See https://web2.0calc.com/questions/counting-problem_42434

See https://web2.0calc.com/questions/counting_28516

The area is 168/17.

The area is 40/7

CM = 4*sqrt(7)