The answer would be D.
you would start by choosing one of the variables to eliminate, i chose to eliminate X first. in order to eliminate X, i had to multiply the second equation by -2. X then cancelled out, and i solved for the Y the same way you would a 1 step equation. Y=-4
I then took the first original equations, plugged Y in, and solved for X. X=3.
Hope this helps!
Answer:
7 pieces
Step-by-step explanation:
change 4 5/6 into an irregular fraction. 29/6
divide 29/6 by 2/3. to do this, flip and multiply
29/6 * 3/2 = 87/12 = 7.25 or 7 whole pieces
Answer:
|F net| = 20.22 N
θ ≈ 19.8°
Step-by-step explanation:
F net = 15N i + 8cos(60°)N i + 8sin(60°)N j
= 15N i + 8×½N i + 8×√3/2N j
= 15N i + 4N i + 4√3N j
= 19N i + 4√3N j
|F net| = √(19²+(4√3)²) = √(361+48) = √409 ≈ 20.22N
tan(θ) = 4√3 ÷ 19 ≈ 0.36 → θ ≈ arctan(0.36) = 19.8°
5 milk choc and 8 dark choc....total of 13 chocolates
P(1st pick is milk choc) = 5/13
do not replace
P(2nd pick is milk choc) = 4/12 which reduces to 1/3
P(both picks are milk choc) = 5/13 * 1/3 = 5/39 <== or 12.8%