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Gene G.'s Resources

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maths help (answer)

Shivam,   I don't have time to write it all out right now, but here's how you need to approach the problem.   You have to solve absolute value equations in two parts.   When (x-3) ≥ 0 you get one line.  That's when x ≥ 3.   For x ≥...

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We're looking for grandfather's age at death.  We'll call it A.   He married grandmother after 1/3 of his life.  That would be A/3 years. Their first daughter was born 4 years later.  That would be at A/3 + 4.   I'm assuming that mother is that first...

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Courtney,   Here's the trick that lets you solve this type of problem. s is the boat's speed in still water. The speed relative to the shore is s-3 going upstream and s+3 going down stream.   The time t is the same for 140 miles in one direction and 100 miles...

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Word problem (answer)

Here's the trick: You can write an equation for the length of the carpet in terms of the width. If the width is w, then the length l = w + 26. The perimeter is 2 * w + 2 * l, and we can substitute (w+26) for l. 2w + 2(w+26) = P = 204 2w +2w + 52 =...

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You can add/subtract a multiple of one equation to/from another.  This will let you eliminate a variable.   (1) x + 4y = 8 (2) 5x + 6y = 12   For this problem, we can multiply the first equation by 5: (1) 5*(x+4y) = 5 * 8 (1) 5x + 20y =...

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Look at the atomic number of the element copper (Cu).  That is the number of protons in the nucleus (as well as the number of electrons).  Copper is 29.   The elementary charge per proton (or electron) is 1.602x10^-19 coulomb.  This is a positive charge for protons and...

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It looks like two brothers each have an account.  One is adding money monthly and the other is making withdrawals.  If that is the case, you left an "m" out of the equation.  Also, is the starting value of one account really a negative number?   First I'll assume...

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To answer the question you asked, the equation is 5.5x+32=57   If you want to know what x is: 5.5x = 57-32 =25 x = 25/5.5 x = 4.5454...

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Susannah,   Yes, the function is linear.  How can you tell?  It's because the term with x in it is just x.  If it had a term with x2 or x3, it would curve instead of being a straight line (linear).   The equation is actually already in slope intercept form...

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Average speed is just the total distance traveled divided by the total time.   You already have the total time.  It's 100 + 100 = 200 seconds.   Calculate the two distances, add them together, then divide by 200:   D1 = 100 * 5 = 500 m D2 = 100...

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Don't let the minus sign confuse you.   Just multiply both sides of the equation by -9:   I'll include extra parentheses for more clarity.   a / (-9) = 2   (a) * (-9) / (-9) = 2 * (-9)   a * 1 = -18   a = -18 &nbs...

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Divide Equations (answer)

I can't be sure what form the answer is expected to have. You could divide the numerator and denominator by -4x2: -20x6 - 24x4 - 12x2        5x4 + 6x2 + 3 -----------------------  =   ---------------          -4x4  ...

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