Let f=number of five pound and e=number of eight pound dumbbells
5f+8e=282
8e=282-5f
e=(282-5f)/8
...
8f+12e=432, using e found above
8f+12(282-5f)/8=432
64f+12(282-5f)=3456
64f-60f+3384=3456
4f+3384=3456
4f=72
f=18, since e=(282-5f)/8
e=24
So there are 18 five pound and 24 eight pound dumbbells in the shipment.
Answer:
W = 16 in
Step-by-step explanation:
P = 2L + 2W
56 = 2(12) + 2W
56 = 24 + 2W
56-24 = 2W
32 = 2W
W = 32/2
W = 16 in
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The first line is perpendicular, the second line is not perpendicular and not parallel , the third line is parallel to the above line and the forth line not parallel or perpendicular to the line.
<h3>How can the slope of the line be calculate?</h3>
The slope of the line is been given as −3x+5y=−15
Then
, hence the slope is 
- Slope of the first line 5x + 3y = 15 after calculation is
the slope is 
this means that the line is perpendicular to the given line
- Slope of the second line 3x + 5y = 15 after calculation is

This means that the line is not perpendicular and not parallel
- Slope of the Third line -3x + 5y = 15 can be calculated as

This means that the line is parallel to the above line.
- Slope of the first line 3x + 5y = 15 after calculation is

This means that the line is not parallel or perpendicular to the line
Learn more about slope of line at:
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Answer:
y≥-3x+4
Step-by-step explanation: