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ahrayia [7]
3 years ago
9

A rectangular field is fully enclosed with 218 meters of fencing. The length of the field is

Mathematics
1 answer:
mestny [16]3 years ago
8 0

The length and width of a rectangular field fully enclosed with 218 metes fencing  are 63 meters and 46 meters respectively.

The perimeter of a rectangle is the sum of the whole four sides. Therefore, the perimeter of a rectangle is defined as follows:

  • perimeter = 2(l + w)

where

l = length

w = width

perimeter = 218 meters

The length of the field is  17 meters longer than the width, w. Therefore, the length is defined as follows:

  • l = 17 + w

The length and the width can be calculated as follows:

218 = 2(l + w)

218 = 2(17 + w + w)

218 = 34 + 4w

218 - 34 = 4w

184 = 4w

divide both sides by 4

w = 184 / 4

w = 46 meters

length = 17 + 46

length = 63 meters

learn more on rectangle here: brainly.com/question/15989799?referrer=searchResul

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SVEN [57.7K]

Answer:

5

Step-by-step explanation:

-2x - y = -3

y = -3x + 2


-2x - (-3x + 2) = -3

-2x + 3x - 2 = -3

x = -1


y = -3*-1 + 2 = 5

5 0
2 years ago
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Which fractions are equivalent? Explain how you know.
podryga [215]

For this case we have the following fractions:

A. \frac {20} {5} = 4

B .- \frac {20} {5} = - 4

C. \frac {20} {- 5} = - 4

D. \frac {-20} {5} = - 4

E .- \frac {20} {5} = - 4

As noted, the last four fractions result in -4. So, they are equivalent fractions.

Answer:

Option B, C, D, E. They are equivalent fractions.

8 0
3 years ago
Suppose that a computer chip company has just shipped computer chips to a computer company.​ Unfortunately, of the chips are def
Varvara68 [4.7K]

Answer:

(a) 0.0000245

(b) 0.000025

Step-by-step explanation:

The complete question is:

Suppose that a computer chip company has just shipped 10,000 computer chips to a computer company. Unfortunately, 50 of the chips are defective. (a) Compute the probability that two randomly selected chips are defective using conditional probability. (b) There are 50 defective chips out of 10,000 shipped. The probability that the first chip randomly selected is defective is  50 /10,000  = 0.005.  Compute the probability that two randomly selected chips are defective under the assumption of independent events.

Solution:

(a)

In this case we need to compute the conditional probability of selecting two defective chips, i.e. the selection of the second defective chip is dependent on the first defective chip.

The probability of selecting the first defective chip is:

P(1D)=\frac{50}{10000}=0.005

Now there are 9999 chips left and 49 defective chips among them.

The probability of selecting the second defective chip is:

P(2D)=\frac{49}{9999}=0.0049

Compute the probability that two randomly selected chips are defective using conditional probability as follows:

P (Two defective chips) =P(1D)\times P(2D)=0.005\times 0.0049=0.0000245

Thus, the answer is 0.0000245.

(b)

Compute the probability that two randomly selected chips are defective under the assumption of independent events as follows:

The above statement implies that the selection was done with replacement.

The probability is:

P (Two defective chips) =P(1D)\times P(2D)

                                      =\frac{50}{10000}\times \frac{50}{10000}\\\\=0.005\times 0.005\\\\=0.000025

Thus, the probability that two randomly selected chips are defective under the assumption of independent events is 0.000025.

6 0
3 years ago
At boarding school, students spend 1/4 of their time eating and sleeping, 3/5 of their time in class, and 1'12 studying. The res
steposvetlana [31]

Answer:

1/15 of their time is free time.

Step-by-step explanation:

To find the answer to this 2-step problem, we have to add all the fractions up, then find how much of that time is not part of the fraction.

So to add all the fractions, you have the equation:

1/4 + 3/5 + 1/12

The first thing we have to do is to find a common denominator.

4, 5, and 12 are each able to multiply into 60.

So we can make the equation now with a common denominator.

15/60+36/60+5/60=56/60.

We now can simplfy this.

56/60=14/15

Now that we know how long it is to do all the other activities, it tells us that the rest of the time is free time. To find the rest of the time, we have to do:

1-14/15=1/15

So 1/15 of their time is free time.

8 0
3 years ago
Write the equation of the line that passes through (-4,3) and is parallel to y = -2x - 8.
kobusy [5.1K]

Answer:

y = -2x - 5

Step-by-step explanation:

Let the equation if the line be y = mx + c

since the line is parallel to y = -2x - 8, their gradients/slope must be the same (aka m = -2)

sub (-4, 3):

3 = -2(-4) + c

c = -5

therefore, the equation of the line is y = -2x - 5

This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

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