16 + 21 + x = y
y = the number of hats sold
16 = hats sold on first shift
21 = hats on the third shift
x = hats on the second shift
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about 45%
We will assume A×B = B×A and show that A and B are necessarily the same.
Assume A×B = B×A. Let a ∈ A and b ∈ B. Then (a,b) ∈ A×B. Since A×B = B×A, we have (a,b) ∈ B×A. That is, a ∈ B and b ∈ A. Therefore, a ∈ A implies a ∈ B and b ∈ B implies b ∈ A. So A = B, as we had set out to do.
Answer: 5485
Step-by-step explanation: 16000:4= 4000
4000:10= 400
400x3= 1200
1200:21 = 57
57x5= 285
Answer:
Since l and m are parallel,
let the angle next to (6x+7) be 'a'
then a will be equal to (3x - 16) since 3x-16 and a are corresponding angles
Since the 2 angles make a linear pair,
6x + 7 + 3x -16 = 180
9x -9 = 180
x -1 = 20
x = 21
Since the angles 11y-32 and 6x + 7 are vertically opposite,
11y - 32 = 6x + 7
11y - 32 = 6(21) + 7
11y = 126 + 39
11y = 165
y = 15
