Answer:
x = 9
Step-by-step explanation:
Step 1: Write equation
6(5 - 2x) + 12 = -66
Step 2: Solve for <em>x</em>
- Distribute 6: 30 - 12x + 12 = -66
- Combine like terms: 42 - 12x = -66
- Subtract 42 on both sides: -12x = -108
- Divide both sides by -12: x = 9
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
6(5 - 2(9)) + 12 = -66
6(5 - 18) + 12 = -66
6(-13) + 12 = -66
-78 + 12 = -66
-66 = -66
12.41 less than the product of 42 and x
= 42x - 12.41
a = 4, b = -21, c = -18
to keep from getting "mixed up", evaluate the discriminant first ...
b<sup>2</sup> - 4ac = (-21)<sup>2</sup> - 4(4)(-18) = 729
sqrt(729) = 27
x = (21 +/- 27)/8
x = -3/4, x = 6
since the discriminant is a perfect square, the original quadratic will factor ...
4x<sup>2</sup> - 21x - 18 = 0
(4x + 3)(x - 6) = 0
x = -3/4, x = 6
Answer:
6 13/14
Step-by-step explanation:
Convert 2/7 to 4/14 by multiplying both 2/7 by 2/2, to have a common denominator, then add your mixed numbers.
2/7 x 2/2 = 4/14
4/14 + 9/14 = 13/14
4 + 2 = 6
6 13/14
24+15+11=50, the total number of times the markers were chosen.
Since 11 of these 50 tries resulted in a red and blue marker, the probability is 11/50. This is equal to 0.22 or 22%.
