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Answers by George T.

math problem (answer)

Cindy   Let the first angle be designated as A and the second angle as B.   There are two critical pieces of information provide.   1.   The two angles are supplementary.  This means that they add up to 180 degrees.  This can be expressed in...

Lauren   It would be much easier to describe the triangle expressed in the problem statement, if it could be drawn.    In any case, the triangle discussed has 3 angles of 114 degrees (BAC), 45 degrees (ACB), and 21 degrees (ABC).  (The 3rd angle of 21 degrees...

Ma   Let's take the 1st expression:   a7b8+a5b6-a3b2   Notice that all three of the terms have variables a and b raised to different powers.  The Greatest Common Factor of GCF is determined by selecting the lowest power for each variable across all...

Heather:   In this problem, you shouldn't be confused by the log3 since we know that when the log3 a = log3 b, then very simply a must be equal to b.  In this problem a=3x-6 and b=2x+1   So:  3x-6=2x+1        3x-2x=1+6            ...

Angela:   Since the pool is rectangular in shape, we know that the Volume=Length*Width*Depth.   In this problem, we know that 10 inches needs to be added to the depth of the pool (note that 10 inches is equal to 10/12 ft or 5/6 ft).  Hence, the total volume of water...

Danielle   I concur with Jason's answer.  My original response was for a line perpendicular to the y-axis.

Kenge:   In Vivian's solution, note that 8 1/3% was rounded to the nearest thousandths (0.083) prior to solving the problem, which resulted in an answer of 548.   If we choose not to round, we get a slightly different result, as follows:   8 1/3% can...

Theresa:   This is a quadratic equation that can be solved by first putting it into the form at2+bt+c=0, and then using the quadratic formula to solve for t.   Since both the left and right side of the given equation are divisible by 5, we could simplify by multiplying...

Herbert   Let n=the number of nickels and q=the number of quarters.   From the problem statement, we know two things:   The total number of coins is 57; This means that n+q=57 The total value of the coins is $8.85; Since each nickel is worth .05 and...

Hannah   When comparing two fractions, the best thing to do is to get both fractions to have the same denominator (or a "common denominator") and then compare numerators.  For the two fractions 4/5 and 5/6, the least common denominator is 30.    The...

Ma:   Let's break the word problem down.   Let a=number of adults and c=number of children   We know two things:   1. The total number of people in attendance equals 84 or a+c=84 2. The total take is $432, comprised of adults each paying...

Theresa:   Per your formula, B=(705w)/h2, where w=weight in pounds and h=height in inches.   From the info provided, we know that B=25 and h=74 inches (6ft * 12 inches per foot + 2 inches).   Substituting these values in the formula, we get:  25=(705w)/(74*74)                                                                       ...

Jesus   Assuming the expression is 4x4-8x2-192:   First, since all three terms are divisible by 4, factor out the 4 to get: 4(x4-2x2-48)   Next, factor the (x4-2x2-48) portion, by searching for two factors of the form (x2+a)(x2+b), which when multiplied...

Cristina   Assuming the starting equation is (8/9)*x+9=11  or (8x)/9+9=11:   First isolate the x term by subtracting 9 from both sides:   (8x)/9 + 9 - 9 = 11 - 9 (8x)/9            =   ...

Crista:   The first thing you should do is eliminate the parentheses by distributing the factor outside, as follows:   3*6x+3*3-2x+6=0 18x  + 9  -2x+6=0   Next, collect like terms and simplify:   18x-2x+9+6=0 16x+15=0   Now,...