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3 years ago

Plz help me with this

Mathematics

1 answer:

alexdok [17]3 years ago

7 0

Answer:

x+2x=21

Step-by-step explanation:

let x= the number of three points

let 2x= the number of two points

Therefore x+2x=21

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A political campaign wants to estimate the number of adult residents who voted in the last city election. Answer the following.

Svetradugi [14.3K]

Using sampling concepts, it is found that:

a) The best method is: 25 adult residents are randomly selected from the city;

b) The estimate is that 11,536 adults voted in the election.

<h3>What is sampling?</h3>

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, the sample will be representative if all adults, no matter if senior or not, homeowners or not are represented, hence the best method is:

25 adult residents are randomly selected from the city;

The estimate of the number of adults that voted is:

14/25 x 20,600 = 11,536.

More can be learned about sampling concepts at brainly.com/question/25122507

#SPJ1

5 0

2 years ago

Cisco and Misty need to construct a chicken coop for their famous egg-laying hens. The hens need at least 108 square feet of liv

erica [24]

The dimensions of the coop are length = 12 ft and width = 9 ft

Since the coop is a rectangle, the area of the coop is A = LW where

L = length of coop and
W = width of coop.

Now, the length of the coop 3 feet longer than the width, so, L = W + 3

Now, the area of the coop A = 108 ft²

So, A = LW

A = (W + 3)W

108 = W² + 3W

Re-arranging,

W² + 3W - 108 = 0

So, we solve the equation to find the width of the coop

<h3>Width of coop</h3>

W² + 3W - 108 = 0

Factorizing, we have

W² + 12W - 9W - 108 = 0

W(W + 12) - 9(W + 12) = 0

(W + 12)(W - 9) = 0

W + 12 = 0 or W - 9 = 0

W = -12 or W = 9

Since W cannot be negative, W = 9

<h3>Length of coop</h3>

Since L = W + 3

Substituting the value of W into L, we have

L = W + 3

L = 9 + 3

L = 12 ft

So, dimensions of the coop are length = 12 ft and width = 9 ft

Learn more about dimensions of coop here:

brainly.com/question/15558785

7 0

2 years ago

Find the area of the circle

navik [9.2K]

Answer:

The answer is 28.26

Step-by-step explanation:

A=pir^2

A=pi(3)^2

A=9pi

A=28.26

Hope this helps :D

3 0

3 years ago

Read 2 more answers

Daniel, my son, is exactly one fifth of my age. in 21 years time, i will be exactly twice his age. my wife is exactly seven time

nydimaria [60]

Let daniel's age = d and let jessica's age = j
let your current age = x and your wife's current age = y

x = 5d (given in question)
∴ x - 5d = 0

x + 21 = 2(d+21) (given in question)
∴ x + 21 = 2d + 42
∴ x - 2d = 21

We can solve these two rearranged equations simultaneously by multiplying the first equation by -1 and adding them. This gives us the following:

3d = 21
∴ d = 7

This means that daniel is currently 7 and (if we substitute d = 7 into one of the equations) you are 35. We use a similar method for your wife's and jessica's current ages.

y = 7j (given in question)
∴ y - 7j = 0

y + 8 = 3(j + 8)
∴y + 8 = 3j + 24
∴ y - 3j = 16

If we use a similar method of elimination we get this:

4j = 16
∴ j = 4

Hence, from this we can concur that daniel is 7 and jessica is 4.

3 0

3 years ago

The back of jake's property is a creek. Jake would like to enclose a rectangular area, using the creek as one side and fencing f

kow [346]

Answer:

The maximum possible area of the pasture is 26,450 feet square.

Step-by-step explanation:

Let us assume the width of the rectangular area = m ft

and the length of the area = k ft

Also assume: ( one side with k units IS NOT FENCED)

So, the total perimeter of the fencing is:

2 m + k = 460

or, k = 460 - 2m ........ (1)

Now, AREA OF THE RECTANGULAR PORTION = Length x Width = k x m

Put k = 460 - 2m

We get: A = m (460 - 2m)

or, A = 460 m - 2m²

We need to find the maximum for the parabolic function A = 460 m - 2m²

The function has a maximum value as the quotient in front of x^2 is negative: -2 < 0

A (max) = $c-\frac{b^2}{4a}$ where a = -2, b = 460, c = 0

= $-\frac{(460)^2}{4(-2)} = 26,450$

A max = 26,450 sq ft.

The maximum possible area of the pasture is 26,450 feet square.

7 0

4 years ago