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icang [17]
3 years ago
6

What is the value of x?

Mathematics
1 answer:
arsen [322]3 years ago
7 0
The answer to this question is x=5
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A map has a scale of 2 inches : 25 miles. Chandra uses the map to find the distance from the zoo to her house. The distance on t
geniusboy [140]

Step-by-step explanation:

Turn the ratio into a fraction

2in /25 mi

You want to have miles so you can flip the fraction and mutiply to cancel out the inches

(25mi / 2in) x 5in = (25 mi x 5in) / 2in

5 0
2 years ago
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
I WILL GIVE YOU BRAINLIEST IF YOU HELP ME WITH THIS MATH WORKSHEET (1/2)
kvasek [131]

Answer:

Step-by-step explanation:

1) corresponding angles

2)alternate interior angles

3)alternate interior angles

4)corresponding angles

2x-7=123

2x=130

x=65

5)corresponding angles

6x-11=5x

6) alternate interiot

40=14-2x

26=-2x

-13=x

8 0
3 years ago
Read 2 more answers
9 7/8 - ( -2 4/5 - 1/2)
Viefleur [7K]

Answer:

9 7/8 - ( -2 4/5 - 1/2)  = 13.175

Step-by-step explanation:

Hope this is correct and helps.

3 0
2 years ago
Which is the equation of the line with slope 3 that contains point (-1,5)?
Elena-2011 [213]
The answer is y-5=3(x+1)
7 0
2 years ago
Read 2 more answers
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