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daser333 [38]
2 years ago
9

three notebooks and 4 binders are $9.00. two notebooks and 4 binders cost $8.00. how much does a binder cost?

Mathematics
1 answer:
Goryan [66]2 years ago
4 0
$1.50 (please mark brainliest)
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A 15-foot log is split into 2 pieces. How long are the pieces if the longest piece is 1.5ft shorter than two of the shorter piec
Allisa [31]

Answer:

8.25 ft & 6.75 ft

Step-by-step explanation:

So we know it's split into two pieces, right? So normally that would be 7.5 ft each. But one is 1.5 ft longer than the other. So as a result, I divided that by 2 to add 0.75 ft to piece one and subtract 0.75 ft from piece two's length. So, the longer piece is 8.25 ft, and the shorter one is 6.75 ft.

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3 years ago
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These are lines in a plane that are always the same distance apart and never intersect. What are they? *​
Pavlova-9 [17]

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Parallel lines

Step-by-step explanation:

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3 years ago
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Optimization problem: what are the dimensions of the lightest open-top right circularcylindrical can that will hold a volume of
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So Volume of cylinder is pi*r^2*h = 1,000 

Then lightest one means you have the smallest surface area. Which is one base and then the area of the surface. SA = pi*r^2 + 2pi*r*h 

So now you have 2 equations, so: 

h = 1,000/(pi*r^2) 
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Derivative of SA is then 2pi*r -2,000/r^2. Set to 0 

2pi*r-2,000/r^2 =0 --> 2pi*r^3 = 2,000 --> r^3 = 1,000/pi --> r = 10/pi^(1/3) 

Now go back to the volume function: pi*r^2*h =1,000 --> 1,000/(pi*100/pi^(2/3)) = h 
<span>h = 10 / pi^(1/3)</span>
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that's your answer
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