### Word Problem

A 20-foot board is cut into two pieces, Twice the length of the shorter piece is 4 ft more than the length of the longer piece. Find the length of the shorter piece.

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A 20-foot board is cut into two pieces, Twice the length of the shorter piece is 4 ft more than the length of the longer piece. Find the length of the shorter piece.

An M&M has a volume of approximately 0.5 cm3. We have Avagadro's number of M&M's. The only place to store the M&M's in in Death Valley. The area of Death Valley is approximately 100miles2. How thick in miles would the layer of M&M's be?

Please assist me by solving the attached equations. Thanks.

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I am supposed to find all real solutions: 1.5x^2 - 6.3x - 10.1 = 0 I am stuck, please see attachment

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0=-3,000 + 2500/(1+r)+ 1000/(1+r)^2 r=

The surface area of a right circular cylinder is given by the formula... (see attachment)

The surface area of a right circular cylinder is given by the formula S= 2*PIE SIGN*rh + 2*PIE SIGN* r^2, where r is the radius of the base, and h is the height of the cylinder. Solve the formula S= 2*PI*rh + 2*PI*r^2 for h.

Although Corollary 2 does not apply to the function 1 / (z — z_0) in the plane punctured at z_0, Theorem 6 can be used as follows to show that (see attached 1) for any circle C traversed once in the positive direction surrounding the point z_0. Introduce a horizontal branch cut from z_0 to infinity as in Fig. 4.25. In the r

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Let F be the Fibonacci sequence n F = 1, F =1 0 1 F + F n-1 n-2 show 1) For all of n, F = (7/4) ^ n n 2) n+1 n+1 F = 1/√5 ((1+√5) - (1-√5) )

Below problem is one that I'm drawing a blank on for even setting up the equation. Any help would be greatly appreciated. Smith recently inherited a large sum of money; he wants to use a portion of this money to set up a trust fund for his two children. The trust fund has two investment options: (1) a bond fund and (2) a st

Find the least positive integer that yields the remainders 1,3 and 5 when divided by 5,7 and 9 respectively.

Solve the following equation by completing the square. See Attached for equation

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Solve for y. Watch for extraneous solutions. See attachment for equation

Solve for x. Watch for extraneous solutions (See attachment for details)

Can you please see if I'am doing these equations correctly? And if I am not, then can you please explain in detail where I went wrong? Please see the attached file for the fully formatted problems.

Can you please help me with these equations. What is Cramer's Rule? I believe that is the way they want solved.

Here's the formula... The answer should be 4, which should be W S=10 T=5 w=4 w=33-(10 - 0.28 x S + square root of 28xS ) x ( 33 - T ) / 22.727 so.. the square root symbol was over top of 28 and S just don't know how to put that symbol in here... so.. you work from left to right... and you do what's in the ( )

Factorize the following equation (with steps please) - see attachment

x^3 + x^2 - x - 1

Application Problem 2M (MOTION PROBLEM) Janet drove 120 miles at x miles per hour (m/hr) before 6:00 A.M. After 6:00 A.M., she increased her speed by 5 miles (m) per hour and drove 195 additional miles. Write an expression for: The time spent driving before 6:00 A.M. The time spent driving after 6:00 A.M. The total dri