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viktelen [127]
3 years ago
9

Evan typed 72 pages of notes one day. He typed 1 2 of the pages in the morning and 1 3 of the pages in the afternoon. He typed t

he rest of the pages in the evening. How many pages of notes did he type in the morning and afternoon?
Mathematics
1 answer:
Korolek [52]3 years ago
7 0

Answer:

60 pages

Step-by-step explanation:

Evan types a total of 72 pages a day.

In the morning he typed 1/2 pages or 72/2 = 36 pages.

In the afternoon he typed 1/3 pages or 72/3 = 24 pages.

Together, he typed 36 + 24 = 60 pages in the morning and afternoon.

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True or false each triangular face has the same base and height​
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True is going to be the correct answer.
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Which of the segments below is a secant?<br><br> A. XB<br> B. OB<br> C. XV<br> D. XY
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A secant of a curve is a line that intersects the curve at a minimum of two distinct points.

So the answer is D. XY
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3 years ago
Talia gave her hairdresser a 20 percent tip, which amounted to $7. What was the price of the service before the tip?
mina [271]
I don't know if I did it right but here's my guess. I think you multiply 7 by 20% and that gives you 1.40 as a result. Compared to the other method I used (division), I'm pretty sure I'm right since the other result was 35. Doesn't make sense if the end amount was $7.
4 0
3 years ago
Read 2 more answers
A rancher wishes to build a fence to enclose a 2250 square yard rectangular field. Along one side the fence is to be made of hea
Bess [88]

Answer:

The least cost of fencing for the rancher is $1200

Step-by-step explanation:

Let <em>x</em> be the width and <em>y </em>the length of the rectangular field.

Let <em>C </em>the total cost of the rectangular field.

The side made of heavy duty material of length of <em>x </em>costs 16 dollars a yard. The three sides not made of heavy duty material cost $4 per yard, their side lengths are <em>x, y, y</em>.  Thus

C=4x+4y+4y+16x\\C=20x+8y

We know that the total area of rectangular field should be 2250 square yards,

x\cdot y=2250

We can say that y=\frac{2250}{x}

Substituting into the total cost of the rectangular field, we get

C=20x+8(\frac{2250}{x})\\\\C=20x+\frac{18000}{x}

We have to figure out where the function is increasing and decreasing. Differentiating,

\frac{d}{dx}C=\frac{d}{dx}\left(20x+\frac{18000}{x}\right)\\\\C'=20-\frac{18000}{x^2}

Next, we find the critical points of the derivative

20-\frac{18000}{x^2}=0\\\\20x^2-\frac{18000}{x^2}x^2=0\cdot \:x^2\\\\20x^2-18000=0\\\\20x^2-18000+18000=0+18000\\\\20x^2=18000\\\\\frac{20x^2}{20}=\frac{18000}{20}\\\\x^2=900\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{900},\:x=-\sqrt{900}\\\\x=30,\:x=-30

Because the length is always positive the only point we take is x=30. We thus test the intervals (0, 30) and (30, \infty)

C'(20)=20-\frac{18000}{20^2} = -25 < 0\\\\C'(40)= 20-\frac{18000}{20^2} = 8.75 >0

we see that total cost function is decreasing on (0, 30) and increasing on (30, \infty). Therefore, the minimum is attained at x=30, so the minimal cost is

C(30)=20(30)+\frac{18000}{30}\\C(30)=1200

The least cost of fencing for the rancher is $1200

Here’s the diagram:

3 0
3 years ago
Helppp plssss this is due soooon
leva [86]
76;(/:14 volume of 6
7 0
3 years ago
Read 2 more answers
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