<span>
3x + 2y = 11</span>
<span />2(7x - y) = 2(3)
14x-2y=6
Adding both equations<span>
3x + 2y = 11</span>
<span>14x-2y=6</span>
<span>17x=17</span>
<span>x=1</span>
<span>substitute x = 1 in any equation</span>
<span>3(1) + 2y = 11</span>
<span>2y = 8</span>
<span>y = 4</span>
<span>Solution: x=1 y=4</span>
2 min 15 sec + 30 sec = 2 minutes 45 seconds per pallet
2 minutes 45 seconds
45seconds divided by 60 seconds = 0.75
so 2.75 minutes per pallet
2.75 x 40 = 110 minutes
110/60 = 1.833 hours = 1 hour and 50 minutes
Explanation:
1. <em>Alternate</em> angles are on opposite sides of the transversal. <em>Interior</em> angles are angles that are between the parallel lines. (<em>Exterior</em> angles are outside the parallel lines.)
Two pairs of alternate interior angles are ...
__
2. <em>Corresponding</em> angles are ones that are on matching corners of the intersections of the transversal with the parallel lines. ∠2 and ∠6 are corresponding, because they both are on the Northeast corner of their respective intersections. In general, one will be an interior angle, and the other will be an exterior angle with respect to two parallel lines.
<em>Same-side interior</em> angles are on different corners of the intersection, and both are interior. (Same-side <em>exterior</em> angles are on different corners of the intersection, and both are <em>exterior</em>.)
Pairs of corresponding angles and pairs of same-side angles are on the same side of the transversal.
There are four pairs of corresponding angles:
- ∠1 and ∠5
- ∠2 and ∠6
- ∠3 and ∠7
- ∠4 and ∠8
__
3. The two pairs of same-side interior angles are ...
If either pair has a sum of 180°, lines <em>p</em> and <em>q</em> will be parallel.
The errors are ...
... The box ends and the minimum are in the wrong places.
_____
The data sorted in order is 1, 6, 26, 27, 30, 31, 33, 34, 59.
The minimum is 1, not 0.
The first quartile is the average of 6 and 26, which is 16, not 10.
The median is 30, as shown.
The third quartile is the average of 33 and 34, which is 33.5, not 35.
The maximum is 59, as shown.
Answer:
x=11
Step-by-step explanation:
