Write the numbers in each circle that is described by the attribute written outside the circle. Numbers in the overlapping regio
ns must meet the requirements of each circle. Justify why you placed the numbers in the overlapping regions.
1 answer:
The attached image represents the completed Venn diagrams
<h3>How to complete the circles?</h3><u>Diagram 1</u>
We have:
Multiples of 3 and Multiples of 10
When the sets are populated, we have:
Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
Multiples of 10 = 10, 20, 30
Both = 30
Next, we complete the circles using the above data values
See attachment 1
<u>Diagram 2</u>
We have:
Multiples of 2, Multiples of 3 and Multiples of 5
When the sets are populated, we have:
Multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30
Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
Multiples of 5 = 5, 10, 15, 20, 25, 30
Multiples of 2 and 3 = 6, 12, 18, 24 and 30
Multiples of 2 and 5 = 10, 20 and 30
Multiples of 3 and 5 = 15 and 30
All = 30
Next, we complete the circles using the above data values
See attachment 2
Read more about Venn diagrams at:
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Answer:
B and C
Step-by-step explanation:
Rearrange each equation into slope- intercept form
A
3x - 2y = 4 ( subtract 3x from both sides )
- 2y = - 3x + 4 ( divide all terms by - 2 )
y = x - 2 ← not equivalent
B
2x - 3y = 12 ( subtract 2x from both sides )
- 3y = - 2x + 12 ( divide all terms by - 2 )
y = x - 4 ← equivalent
C
- 4(2x - 3y ) = - 48 ( divide both sides by - 4 )
2x - 3y = 12 ← same as B ⇒ equivalent
D
2(x + 6) = 3y
3y = 2x + 12 ( divide all terms by 3 )
y = x + 4 ← not equivalent
E
2x - 3y = 4 ( subtract 2x from both sides )
- 3y = - 2x + 4 ( divide all terms by - 3 )
y = x -
← not equivalent