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3 years ago

Can anyone help solve this question? I’m lost

Mathematics

1 answer:

Oksana_A [137]3 years ago

5 0

We'll start by calling the number of pigeons we started with x, because it's the unknown.

After she clapped 1/3 flew away so she was left with

(1 - 1/3) x = (2/3) x

Two flew back, so now there are

(2/3) x + 2

She clapped again and half left, half stayed, so now

(1/2) ( (2/3) x + 2 )

One came back and there were five,

(1/2) ( (2/3) x + 2 ) + 1 = 5

Solving is unraveling.

(1/2) ( (2/3) x + 2 ) = 4

(2/3) x + 2 = 8

(2/3) x = 6

x = (3/2) 6 = 9

Answer: 9 pigeons

Check: Reviewing the story, 9 -> 6 -> 8 -> 4 -> 5 good

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What is the ratio of a : b, knowing that a — b = 3 <br> a + b = 5

UNO [17]

Answer:

4:1

Step-by-step explanation:

a — b = 3

then a= 3+b

a + b = 5

3+b +b = 5

3+2b=5

2b=5-3

2b=2

b=1

a= 3+b

a=3+1=4

a:b= 4:1

3 0

3 years ago

Plssssssssssssssssss answer corectly

Free_Kalibri [48]

Answer:

1.equilateral

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2 years ago

Find the terminal point on the unit circle determined by 11pi/6 radiants

irga5000 [103]

Answer:

$(\frac{\sqrt{3}}{2},-\frac{1}{2})$

Step-by-step explanation:

The unit circle has the parametric equation:

$x=\cos \theta$

$y=\sin \theta$

where $\theta=\frac{11\pi }{6}$ in our case is the terminal side of the angle in standard position.

We substitute to get:

$x=\cos \frac{11\pi }{6}=\frac{\sqrt{3}}{2}$

$y=\sin \frac{11\pi }{6}=-\frac{1}{2}$

$\therefore (\frac{\sqrt{3}}{2},-\frac{1}{2})$ is the required point.

6 0

3 years ago

The area of a rectangle is 42 ft squared, and the length of the rectangle is 5 ft more than twice the width. Find the dimensions

stira [4]

Answer:

<h3>Length = 12 ft</h3>

Width = $\frac{7}{2} ft$

Step-by-step explanation:

Given,

Area of rectangle = $42 \: {ft}^{2}$

Width = X

Length = 2x + 5

Now,

$x(2x + 5) = 42$

$2 {x}^{2} + 5x = 42$

$2 {x}^{2} + 5x - 42 = 0$

$2 {x}^{2} + 12x - 7x - 42 = 0$

$2x(x + 6) - 7(x + 6) = 0$

$(2x - 7)(x + 6) = 0$

Either

$2x - 7 = 0$

$2x = 0 + 7$

$2x = 7$

$x = \frac{7}{2}$

Or,

$x + 6 = 0$

$x = 0 - 6$

$x = - 6$

Negative value can't be taken.

So, width = $\frac{7}{2} ft$

Again,

Finding the value of length,

Length = $2x + 5$

$2 \times \frac{7}{2} + 5$

$7 + 5$

$12$

Length = 12 ft

7 0

3 years ago

Read 2 more answers

What is the overlap of Data Set 1 and Data Set 2?

erastovalidia [21]

Answer: Answer:

There is moderate level of overlap between the two data sets.

Step-by-step explanation:

Overlap of data sets.

Overlap measures the degree of duplication that exists within data sets.

It is an indicator of the degree to which data are identical.

We are given two data sets in the question.

We have to find the amount of overlap in data set 1 and in data set 2.

There are 8 data points in data set 1 as shown in the image.

There are 8 data points in the data set 2 as shown in the image.

Out of the 8 data points for both data set 1 and data set 2, 5 data points overlap each other on 6, 7, 8 and 9.

Thus, we could say there is moderate level of overlap between the two data sets.

3 0

2 years ago