3. Which of the following statements should come first in the paragraph proof for the problem shown below? Given: 150 = 15æ + 90 Prove: x = 4 The equation 150 = 15x + 90 is given in the problem. Isolate the variable by subtracting 90 from both sides. The solution æ = 4 is found by simplifying. Simplify the equation to 150 = 15x.

need help with knowing how to show proofing of  a(bc)=c(ab)

I attached an example of how to do the work for the problems. Please solve accordingly.

Why the reversed logic? Why can't it be answered with C(10, 4) = 210?

Need help with #11 with work shown

Need help with this foundations of mathematics homework problem.

i have no idea how to do any of this... it's been a long time since i've done any kind of mathematics

Problem 5.4 (Grade a "Proof"). Study the following claim as well as the "proof": Claim. For all n e N, 3| (n³ +44n). “Proof". When n = 1, n³ +44n = 45 is divisible by 3. When n = 2, n³ +44n = 96 is divisible by 3. When n = 3, n³ + 44n = 159 is divisible by 3. When n = 100, n3 + 44n = 1004400 is divisible by 3. Thus 3 | (n³ +44n) for all n e N. %3D Complete the following questions concerning the above claim and "proof": (1) Determine whether the "proof" is rigorous. Identify the issues in the "proof", if any. (2) Determine whether the claim is true or false. Justify the answer in part (3). (3) If the the claim is true and the “proof" is not rigorous, then provide a correct and rigorous proof. If the claim is false, give a concrete counterexample. Hint. Complete the parts as instructed. If the claim is false, then (obviously) there is no way the "proof" could be correct.

11.(3 pts) Determine the mLKLM . L M W° (4w-20)° 64° K