How do the expressions 4(3 1 x) and (3 1 3 1 3 1 3) 1<br> (x 1 x 1 x 1 x) compare to one another?

The local kennel has 3 spots for cats to every 5 dogs. if the local kennel has a total of 72 spots for both cats and dogs, then

aliina [53]

3:5
5+3= 8
72 / 8 = 9
9 x 3 = 27
27 spots for cats

5 0

3 years ago

There are 30 children eating ice cream. 2/5 of the children have chocolate. 1/3 of them have vanilla. The rest have strawberry.

defon

Answer:

28/2

Step-by-step explanation:

8 0

2 years ago

Pyramid A has a triangular base where each side measures 4 units and a volume of 36 cubic units. Pyramid B has the same height,

omeli [17]

Answer:

The volume of pyramid B is 81 cubic units

Step-by-step explanation:

Given

<u>Pyramid A</u>

$s = 4$ -- base sides

$V = 36$ -- Volume

<u>Pyramid B</u>

$s = 6$ --- base sides

Required

Determine the volume of pyramid B <em>[Missing from the question]</em>

From the question, we understand that both pyramids are equilateral triangular pyramids.

The volume is calculated as:

$V = \frac{1}{3} * B * h$

Where B represents the area of the base equilateral triangle, and it is calculated as:

$B = \frac{1}{2} * s^2 * sin(60)$

Where s represents the side lengths

First, we calculate the height of pyramid A

For Pyramid A, the base area is:

$B = \frac{1}{2} * s^2 * sin(60)$

$B = \frac{1}{2} * 4^2 * \frac{\sqrt 3}{2}$

$B = \frac{1}{2} * 16 * \frac{\sqrt 3}{2}$

$B = 4\sqrt 3$

The height is calculated from:

$V = \frac{1}{3} * B * h$

This gives:

$36 = \frac{1}{3} * 4\sqrt 3 * h$

Make h the subject

$h = \frac{3 * 36}{4\sqrt 3}$

$h = \frac{3 * 9}{\sqrt 3}$

$h = \frac{27}{\sqrt 3}$

To calculate the volume of pyramid B, we make use of:

$V = \frac{1}{3} * B * h$

Since the heights of both pyramids are the same, we can make use of:

$h = \frac{27}{\sqrt 3}$

The base area B, is then calculated as:

$B = \frac{1}{2} * s^2 * sin(60)$

Where

$s = 6$

So:

$B = \frac{1}{2} * 6^2 * sin(60)$

$B = \frac{1}{2} * 36 * \frac{\sqrt 3}{2}$

$B = 9\sqrt 3$

So:

$V = \frac{1}{3} * B * h$

Where

$B = 9\sqrt 3$ and $h = \frac{27}{\sqrt 3}$

$V = \frac{1}{3} * 9\sqrt 3 * \frac{27}{\sqrt 3}$

$V = \frac{1}{3} * 9 * 27$

$V = 81$

6 0

3 years ago

Read 2 more answers

Please help fast i need to finish this fast plz

Basile [38]

Answer:

...

Step-by-step explanation:

1st one is B: What is the total number of attendees at a movie?

Since all the other answer have a definite answer.

2nd one is A: How many cavities have you had in the last 5 years?

That answer shows you how well your dentist is as well as your hygiene.

3rd one is D: What age are the children who attend Boys and Girls Club programs in your town?

They would have a variety of ages to take data on,

4th one is C: e=7h

What amount she earns divided by 7 will be the hours she works. She makes $7 and hour.

3 0

2 years ago

Read 2 more answers

Most people can walk about 3750 feet in 15 minutes what is the unit rate in feet per minute for this walking pace

Debora [2.8K]

Based on the calculations, the unit rate in feet per minute for this walking pace is equal to 250 feet per minute.

<h3>How to calculate the unit rate?</h3>

A unit rate refers to a measurement of a quantity which is calculated as a ratio of one parameter to another.

This ultimately implies that, we would divide the distance covered in feet by the time taken to cover this distance as follows:

Unit rate = distance/time

Unit rate = 3750/15

Unit rate = 250 feet per minute.

Read more on time here: brainly.com/question/12199398

#SPJ1

5 0

2 years ago

How do the expressions 4(3 1 x) and (3 1 3 1 3 1 3) 1 (x 1 x 1 x 1 x) compare to one another?