Algebra answers to 12 questions

Answer: A. 2 Solution: The greatest common factor of two or more numbers is the highest factor that can be used in dividing all the numbers. E1 = 4k = 2×2×k E2 = 18k4 = 2 × 3 × 3…

If 100 envelopes = 70 cents Then 250 = x cents 100x = 70 × 250 100x = 17500 x = 175 cents = 1.75 dollars

Answer: A. 1/3x+2 There are two equations: x − 3y = −6 ..... Equation one 2x − 7y = 10 ...... Equation two Solve for the value of y in equation one x - 3y = –6 3y = x…

The first sign that an equation is linear is that all its variables increase with constant correspondence. Also, a linear equation can be represented in several forms, including standard forms, indices, etc. However, these numbers carry no exponents. Finally, when…

Combinations and permutation in mathematics are the various ways through which a set of items can be organized. Mathematicians have deduced that these number arrangements can be found using factorials. For example, an n number of items can be arranged…

P(X=0)=C020   *0.080 * 0.9220 = 0.9220  ≈ 0.1887

Solution: Let the three numbers be x, y and z. Sum of the numbers is 98. x + y + z = 98………………(i) The ratio of the first to the second is 2/3. x/y = 2/3. x = 2/3 ×…

5P3 is an example of nCr which is DEFINED as n! / (n-r)! In this case, 5! / 2! has the 5•4•3 expansion...it's 5! but with the 2•1 having cancelled the last two factors of 5! Answer 60 is entirely…

oh, it's quite simple we need to get x from one of equation, so x-2 = -x-4 then 2x=-2 x = - 1 after that we put x into y=x-2 and get y = - 3 Answer: -3

Total time spent: 4 hours 15 minutes (it is equivalent to 255 minutes). Let the flight time from Paris to Glasgow be X. Then the flight time from Glasgow to Paris will be (X+10). We have an equation with one…

x represents the number of comic books to start x - 0.5x + 14 = 28

Here is a 2×2 counterexample, easily extendable to n×n: Let A orthogonally project onto one axis, and let B rotate the plane by 90∘. The operation of ABA is to collapse everything down to one axis, then turn that axis, then collapse that axis down to the origin. However, A2=A≠0