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Stella [2.4K]
3 years ago
5

The function C(x)=−10x+1764 represents the cost to produce x items. What is the least number of items that can be produced so th

at the average cost is no more than $32?
Mathematics
1 answer:
dalvyx [7]3 years ago
3 0

Answer:

42

Step-by-step explanation:

(-10*42+1764)/42

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Sally can paint a room in 9 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the
Archy [21]
You can solve this one by adding their rates, but you have to invert the numbers they give you to find the rate. Rate is measured in something per unit of time, and "per" indicates division. So the rates are: 1/3 of an hour (Sally) and 1/6 of an hour (Steve). So add the rates: 1/3 + 1/6 = 1/2. (1/3 is 2/6, and 2/6 + 1/6 = 3/6). Since their combined rate is 1/2 of a room in one hour, it takes them two hours to paint the room.

This answer makes sense: It takes Sally three hours by herself; with Steve's help, she's faster, but not THAT much faster, because he's pretty slow. You can often spot-check word problem answers like this by giving it a common sense once-over. If we came up with four hours, that would clearly be wrong: it should take her LONGER if she's getting help.
7 0
3 years ago
Read 2 more answers
Simplify these calculations, leaving your answer in index form.
alexira [117]
Dividing x5^5 / x5^5 is 1
7 0
3 years ago
1/3+1/4 I really don’t get this so can someone please help me with this problem
Oxana [17]

Answer:

7/12

Step-by-step explanation:

You have to find a common denominator, so you would multiply 3 from the 1/3 by 4 which gets you twelve. And bc you multiplied the 3 you have to multiple the 1 so 1/3 would be 4/12. You would then multiply 4 by 3 and get 12. Then do the same to the one on top. So 1/4 would be 3/12. You then add 3 and 4 and get 7. That’s the numerator, the denominator stays 12. So it would be 7/12

4 0
3 years ago
Find the given higher-order derivative.<br><br> f''(x) = 9- 3/x<br><br> f'''(x)=
Genrish500 [490]

Answer:

f'''(x)=\frac{3}{x^{2}}

Step-by-step explanation:

We are given with Second-order derivative of function f(x).

f''(x)=9-\frac{3}{x}

We need to find Third-order derivative of the function f(x).

f''(x)=9-\frac{3}{x}=9-3x^{-1}

We know that,

f'''(x) = (f''(x))'

So,

f'''(x)=\frac{\mathrm{d}\,f''(x)}{\mathrm{d} x}

f'''(x)=\frac{\mathrm{d}\,(9-3x^{-1})}{\mathrm{d} x}

f'''(x)=\frac{\mathrm{d}\,9}{\mathrm{d} x}-\frac{\mathrm{d}\,3x^{-1}}{\mathrm{d} x}

f'''(x)=0-3\frac{\mathrm{d}\,x^{-1}}{\mathrm{d} x}

f'''(x)=-3(-1)x^{-1-1}

f'''(x)=3x^{-2}

f'''(x)=\frac{3}{x^{2}}

Therefore, f'''(x)=\frac{3}{x^{2}}

4 0
4 years ago
A man is dragging a trunk up the loading ramp of mover's truck. The ramp has a slope angle of 20 degree, and the man pulls upwar
adell [148]
As we know that
Fx = Fcos30.0deg 
<span>60.0N = Fcos30.0deg </span>
<span>F = 60.0N/cos30.0deg </span>
<span>F = 69.3 N
</span><span> Fy = Fsin30.0deg </span>
<span>Fy = 69.3 N sin 30.0 deg </span>
<span>Fy = 34.6 N
</span>hope it helps
7 0
4 years ago
Read 2 more answers
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