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Anettt [7]
3 years ago
5

So far, Monica has read 5/6 of a book. She has read the same number of pages each day for 5 days. What fraction of the book does

Monica read each day.
Mathematics
1 answer:
lesya [120]3 years ago
8 0

Answer:1/6

Step-by-step explanation:

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The riding stables just received an unexpected rush of registrations for the next horse show, and quickly needs to create some a
liraira [26]

Answer:

Maximum added area will be 60,000 ft²

Each paddock measure 200 ft by 150 ft, and the paddocks share a 200-ft long side.

Step-by-step explanation:

Consider the provided information.

There is sufficient funding to rent 1200 feet of temporary chain-link fencing.

The plan is to form two paddocks with one shared fence running down the middle.

The total length of fencing is 1200 feet that is same as the total perimeter including that shared line down the middle.

Therefore, the perimeter is

P = 1200 = 2L + 3w

Solve for L

1200-3w = 2L

L=600-\frac{3w}{2}

As we know the area of rectangle is A=L×W

Substitute the value of L in above formula.

A=(600-\frac{3w}{2})\times w\\A=600w-\frac{3w^2}{2}

A=-\frac{3w^2}{2}+600w

The above equation makes a downward parabola.

In order to find the maximum, find the vertex of parabola as shown:

W=\frac{-b}{2a}=\frac{600}{2\times\frac{3}{2}}=200

Hence, the width should be 200 ft in order to get maximum area,

Therefore, the length will be:

1200 = 2L + 3(200)

L=300

Now substitute the value of L and W in area formula.

A=300×200=60,000

Hence, maximum added area will be 60,000 ft²

Hence, the length should be 300 ft, and each paddock should then be 150 feet long.

Each paddock measure 200 ft by 150 ft, and the paddocks share a 200-ft long side.

5 0
3 years ago
What is the value of x and the measure of MNQ
serg [7]

Answer:

3x - 13 +58 = 90, so 3x +45 = 90

Then 3x = 90 - 45 = 45 and x= 45/3 = 15.

m∠MNQ = 3x-13 = 3(15) - 13

                             =  45-13

                             =   32

6 0
3 years ago
How many times smaller is 4 × 10-9 than 8 × 10-7? A. 200 B. 20 C. 20,000 D. 2,000
masya89 [10]

Answer:

17

Step-by-step explanation:

4×10-9= 4

8×10-7=21

21-4=17

4 0
3 years ago
Bridget has a bag of skittles that is 3/4 full. If she eats 2/5 of the remaining skittles, how much of the bag did she eat?
Nutka1998 [239]

Bridget eats \frac{x}{10} of the Skittles

<u>Explanation:</u>

Let the number of skittles = x

If the bag has \frac{3}{4}x of the skittles

Then the skittles remaining = x - \frac{3}{4}x

                                              =  \frac{x}{4}

Amount that Bridget eats = \frac{2}{5} X \frac{x}{4}

                                          = \frac{x}{10}

Therefore, Bridget eats \frac{x}{10} of the Skittles

3 0
3 years ago
Express 35 1/3 in simplest radical form.
Georgia [21]
3√35-simplest radical form
5 0
3 years ago
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