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MA_775_DIABLO [31]
3 years ago
15

Name the property illustrated by each question. 5x · (4y + 3x) = 5x · (3x + 4y)

Mathematics
2 answers:
UNO [17]3 years ago
5 0
<span>Addition property of equality</span>
Svet_ta [14]3 years ago
4 0

Answer:

The property used here is:

Commutative property of addition

Step-by-step explanation:

Commutative property of addition states that if a and b are any two elements

then, a + b = b + a

We are given a equality we have to determine the property used here

5x · (4y + 3x) = 5x · (3x + 4y)

In the above equation, 4y + 3x = 3x + 4y

a= 4y and b= 3x

Then, a+b=b+a

Hence, the property used above is:

Commutative property of addition

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Suppose that a 2 by 10 rectangular grid of seats is filled with people. On the
weeeeeb [17]

688,747,536 ways in which the people can take the seats.

<h3></h3><h3>How many ways are there for everyone to do this so that at the end of the move, each seat is taken by exactly one person?</h3>

There is a 2 by 10 rectangular greed of seats with people. so there are 2 rows of 10 seats.

When the whistle blows, each person needs to change to an orthogonally adjacent seat.

(This means that the person can go to the seat in front, or the seats in the sides).

This means that, unless for the 4 ends that will have only two options, all the other people (the remaining 16) have 3 options to choose where to sit.

Now, if we take the options that each seat has, and we take the product, we will get:

P = (2)^4*(3)^16 = 688,747,536 ways in which the people can take the seats.

If you want to learn more about combinations:

brainly.com/question/11732255

#SPJ!

5 0
2 years ago
Plssssss help me answer this quickly
Zarrin [17]

Answer:

Step-by-step explanation:

5 0
3 years ago
Match the formula to the correct figure.
forsale [732]

Given:

The figures cylinder, cube, cone, and pyramid.

To find:

The formula of volume for the given figures.

Solution:

Volume of a cylinder is:

V_1=\pi r^2h

Where r is the radius and h is the height.

Volume of a cube is:

V_2=a^3

Where a is side length of cube.

It is also written as:

V_2=l\times w\times h

Where l is length, w is width, h is height and l=w=h.

Volume of a cone is:

V_3=\dfrac{1}{3}\pi r^2h

Where r is the radius and h is the height.

Volume of a pyramid is:

V_4=\dfrac{1}{3}Bh

Where B is the base area and h is the height.

Therefore the table of formulae is shown below:

Figure                       Volume formula

Cylinder                   \pi r^2h

Cube                        l\times w\times h

Cone                        \dfrac{1}{3}\pi r^2h

Pyramid                    \dfrac{1}{3}Bh

3 0
3 years ago
A group of friends is sharing 2 &amp; 1/2 pounds of berries. If 5 friends are sharing the berries, how many pounds of berries do
Thepotemich [5.8K]

Answer:

1/2 of a pound.

Step-by-step explanation:

Step 1: You take 2 and 1/2 and convert it to an improper fraction.

2 1/2 = 5/2

Step 2: Divide 5/2 by 5.

5/2 / 5 = 1/2

Your answer is 1/2

4 0
3 years ago
What is the value of the expression 5 – c – d when c = 8 and d = –13?
Tasya [4]
5 - c - d
5 - 8 - (-13)
5 - 8 + 13
-13 + 13
0

The value of the expression when c = 8, and d = -13 is c. 0
6 0
3 years ago
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