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alexandr1967 [171]
3 years ago
13

C

Mathematics
1 answer:
Contact [7]3 years ago
3 0

Answer:

D

Step-by-step explanation:

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A fence is to be built to enclose a rectangular area of 260 square feet. The fence along three sides is to be made of material t
Nat2105 [25]

Answer:

Length of the rectangle = 9.58 feet and width = 27.14 foot

Step-by-step explanation:

Let the length of the rectangular area is = x feet

and the width of the area = y feet

Area of the rectangle = xy square feet

Or xy = 260

y = \frac{260}{x} -------(1)

Cost to fence the three sides = $3 per foot

Therefore cost to fence one length and two width of the rectangular area

= 3(x + 2y)

Similarly cost to fence the fourth side = $14 per foot

So, the cost of the remaining length = 14x

Total cost to fence = 3(x + 2y) + 14x

Cost (C) = 3(x + 2y) + 14x

C = 3x + 6y + 14x

  = 17x + 6y

From equation (1)

C = 17x+\frac{260\times 6}{x}

Now we take the derivative,

C' = 17 - \frac{1560}{x^{2} }

To minimize the cost of fencing,

C' = 0

17 - \frac{1560}{x^{2} } = 0

\frac{1560}{x^{2} } = 17

x^{2} =\frac{1560}{17}

x=\sqrt{\frac{1560}{17} }

x = 9.58 foot

and y = \frac{260}{9.58}

y = 27.14 foot

4 0
3 years ago
Express 37.5% as ratio please urgent! Will mark brainest if answer!
Ivahew [28]

I think it will be like this

37.5% : 100%

3 : 8

<em>sorry</em><em> </em><em>if</em><em> </em><em>im</em><em> </em><em>wrong</em>

7 0
3 years ago
Read 2 more answers
The Boy Scouts are selling popcorn to raise money for a camping trip. Bags of popcorn sold for $6.85. Bags of Carmel popcorn wer
RSB [31]

Answer:

128 bags of popcorn

Step-by-step explanation:

356.20 / 6.85 = 52

634/60 / 8.35 = 76

76 + 52 = 128

8 0
3 years ago
Read 2 more answers
Sue Stitch buys a sewing machine. The price, including tax, is $575.00. She finances the sewing machine over 24 months after mak
ikadub [295]
Hi there!

To the nearest penny, c = $85.94.

Total of payments = amount financed + c = $635.94.

Total of payments ÷ number of payments = monthly payment = $26.50

Your friend, ASIAX
5 0
4 years ago
Read 2 more answers
A car travels at 49 km/hour how far does it travel in a 12 hour day​
marta [7]

Answer:   2.88 km.

Step-by-step explanation:

We will discuss here how to find the distance when speed and time are given.

When speed and time are given, the distance travelled is calculated by using the formula:

Distance = Speed × Time

The unit of time in speed should be the same as that of the given time.

Solved examples to calculate distance when speed and time are given:

1. How much distance will be covered in 5 hrs at a speed of 55 km per hour?

Solution:

Distance covered in 1 hour = 55 km.

We know, Distance = Speed × Time

Distance covered in 5 hrs = 55 × 5

                                  = 275 km.

Therefore, distance covered in 5 hrs = 275 km.

2. A bus travels at a speed of 45 km/hour. How far will it travel in 36 minutes?

Solution:

Speed = 45 km/hour

Time = 36 minutes

      = 36/60 Hour (Since we know, 1 hour = 60 minutes)

      = 3/5 hour

Distance = speed × time

           = 45 × (3/5) km

           = (45 × 3)/5 km

           = 27 km.

3. How much distance will be covered in 7 hrs at a speed of 62 km per hour?

Solution:

Distance covered in 1 hour = 62 km.

We know, Distance = Speed × Time

Distance covered in 7 hrs = 62 × 7

                                     = 434 km.

Therefore, distance covered in 7 hrs = 434 km.

4. Mike drives his car at a speed of 70 km per hour. How much distance will he cover in 3 hours 30 minutes?

Solution:

Speed of the car = 70 km/hr

Time taken         = 3 hours 30 minutes

                        = 3 ½ hours.

Distance covered in 1 hour = 70 km

Distance covered in 3 ½ hour = 70 × 3 ½ km

                                          = 70 × 7/2 km

                                          = 245 km.

5. How much distance will be covered in 1 ½ hour at a speed of 32 m per minute?

Solution:

[1 ½ hr = (60 + 30) minutes = 90 minutes].

Distance covered in 1 minute = 32 metres.

Distance covered in 90 minutes = 32 × 90 = 2880 m.

We know, 1 m = 1/1000 km.

                     = 2880/1000 km.

                     = 2.88 km.

Hope this helps!

5 0
2 years ago
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