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Answer:

When we add two or more whole numbers, their sum is the same regardless of the order of the addends. The sum of both 2 + 4 and 4 + 2 is 6. That means, we can add whole numbers in any order. When three or more numbers are added, the sum is the same regardless of the grouping of the addends.

Step-by-step explanation:

there

There are four mathematical properties which involve addition. The properties are the commutative, associative, identity and distributive properties.

Commutative Property: When two numbers are added, the sum is the same regardless of the order of the addends.

For example 4 + 2 = 2 + 4

To remember the commutative property, it might be helpful to think about the word commute which means to switch places between home and work (or home and school). In the example above, you can see the 4 and the 2 commuting or switching places.

Associative Property: When three or more numbers are added, the sum is the same regardless of the grouping of the addends.

For example (2 + 3) + 4 = 2 + (3 + 4)

To remember the associative property, it might be helpful to think about the word associate, which as a verb means to interact with a group (maybe you associate with a certain group of friends!). The parentheses are grouping operators, that is, they form groups of numbers and operations. You can see in the example above, the 3 can associate with either the 2 or the 4, but the value of each side is still a total of 9.

Identity Property: The sum of any number and zero is the original number.

For example 5 + 0 = 5.

To remember the identity property, it might be helpful to think of it as a question and answer: What number can I add so that the value is not changed? Zero. In the example above, the 5 gets to keep its identity because adding zero does not change its value.

Distributive Property: The sum of two numbers times a third number is equal to the sum of each addend times the third number.

For example 4 * (6 + 3) = 4*6 + 4*3

The distributive property is the only property that combines multiplication and addition. That makes it very important!

Answer:

find the difference.   find the sum

Step-by-step explanation:

Answer: 12.65

Step-by-step explanation:

Ive never solved a problem like this, but this is how I would solve it. You first want to find the height of the triangle by using the Pythagorean theorem. Solve for the height by using the left triangle.

[tex](4\sqrt{2} )^2=4^2+b^2\\32=16+b^2\\16=b^2\\b=4[/tex]

b is the height, the dotted line, of both triangles. Now do the Pythagorean theorem on the right triangle to find the value of x

[tex]12^2+4^2=x^2\\144+16=x^2\\160=x^2\\x=\sqrt{160} \\x=12.649=12.65[/tex]

Answer:

m of 2=36

Step-by-step explanation:

You see that square box at the bottom of the angle? That means that both angles are equal to 90 degrees. so if you have the measure of 1 which is 54 you can set up a simple equation and solve it

90=54 + x    which would equal 36

hope this helps :)

Answer:

Add 8 to half the difference of 6 and 2, then subtract 1

Step-by-step explanation:

8 + fraction 1 over 2 x (6 − 2) − 1.

The above is expressed mathematically as:

8 + 1/2(6 - 2) - 1

Therefore, the statement that describes this expression from the options given correctly is :

Add 8 to half the difference of 6 and 2, then subtract 1

Answer:

Add 8 to half the difference of 6 and 2, then subtract 1

Step-by-step explanation:

8 + fraction 1 over 2 x (6 − 2) − 1.

The above is expressed mathematically as:

8 + 1/2(6 - 2) - 1

Therefore, the statement that describes this expression from the options given correctly is :

Add 8 to half the difference of 6 and 2, then subtract 1

Answer:1.20/5

Step-by-step explanation:

Answer:

9/10 or in decimal form 0.9

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

x= 3/5

Step-by-step explanation:

5(x+3)=30x

5x+15=30x

-5x -5x

15=25x

x= 3/5

Answer:

3/5

Step-by-step explanation:

5(x+3)= 30x                        [

or,

    (5×x)+(5×3)= 30x          

or,

    5x+15= 30x                  

or,

     5x+15-5x= 30x-5x          [The result or root of the equation remains same                                                                    .                                               if we multiply, divide, add or subtract any                                                                               .                                               number from each side of the equation]

or,

     15= 25x

or,

    15/25= x

or,

    3/5= x

So, the value of x is 3/5

Answer:it’s D

Step-by-step explanation: put the equation into standard form and plugged it into my graphing calculator.

La respuesta de tu división es  exact  

Step-by-step explanation:

Tu división es de 564/47 el consciente es: 12 ahora multiplicamos 47*12 = 564

Answer:x=4 and y=7

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

y= -7/2x -7

Answer:

22.5

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

Cross multiply:

9 * 5 = x * 18

Simplifying

9 * 5 = x * 18

Multiply 9 * 5

45 = x * 18

Reorder the terms for easier multiplication:

45 = 18x

Solving

45 = 18x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-18x' to each side of the equation.

45 + -18x = 18x + -18x

Combine like terms: 18x + -18x = 0

45 + -18x = 0

Add '-45' to each side of the equation.

45 + -45 + -18x = 0 + -45

Combine like terms: 45 + -45 = 0

0 + -18x = 0 + -45

-18x = 0 + -45

Combine like terms: 0 + -45 = -45

-18x = -45

Divide each side by '-18'.

x = 2.5

Simplifying

x = 2.5

Answer:

i sowwy

Step-by-step explanation:

Answer:

2(3x)+2(2x+22)+x+41=360°

Step-by-step explanation:

Sum of exterior angles of any polygon is 360°.

So if we add up all five exterior angles of the pentagon, we have

Answer:

Its the last one

Step-by-step explanation:

I just did it and it was right

The graphs which represents someone driving away from their house and having to stop for a stoplight at the corner is graph (IV)

A graph is a line straight or curved that shows relation between two quantities out of which one varies as a result of change in other.

To make it clear let us consider we have two variables x and y where,

y=2x

The variable that is made to alter or change is called the independent variable. Here in our case x is an independent variable. Another variable that varies as a result of the change in the independent variable is called the dependent variable.

Here  y  is the dependent variable whose value changes with change in the value of  x.

As, from the situation someone driving away from their house then the distance will increase which is shown as the rising line of the graph.

Now,  stop for a stoplight at the corner then to stop the car the speed should be decrease which tends to zero which is shown by the down line in the graph.

Hence, the  graphs which represents someone driving away from their house and having to stop for a stoplight at the corner is graph (IV)

Learn more about graph here:

https://brainly.com/question/17267403

#SPJ2

Given:

Three equations are

[tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex]

[tex]4(0.5x-2)+3x=-14-(x+6)[/tex]

[tex]8(0.5x-3)+4x=-9-(x+6)[/tex]

Three solutions are [tex]x=-2,x=-1,x=1[/tex].

To find:

The solution of each equation from the given solutions.

Solution:

We have,

[tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex]

Using distributive property, we get

[tex]3x-9+2x=-9-x-6[/tex]

[tex]5x-9=-15-x[/tex]

Isolate variable terms.

[tex]5x+x=-15+9[/tex]

[tex]6x=-6[/tex]

Divide both sides by 6.

[tex]x=-1[/tex]

Similarly,

[tex]4(0.5x-2)+3x=-14-(x+6)[/tex]

[tex]2x-8+3x=-14-x-6[/tex]

[tex]5x-8=-20-x[/tex]

[tex]5x+x=-20+8[/tex]

[tex]6x=-12[/tex]

[tex]x=-2[/tex]

Now,

[tex]8(0.5x-3)+4x=-9-(x+6)[/tex]

[tex]4x-24+4x=-9-x-6[/tex]

[tex]8x-24=-15-x[/tex]

[tex]8x+x=-15+24[/tex]

[tex]9x=9[/tex]

[tex]x=1[/tex]

Therefore, the solutions of given equations [tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex], [tex]4(0.5x-2)+3x=-14-(x+6)[/tex] and [tex]8(0.5x-3)+4x=-9-(x+6)[/tex] are x=-1, x=-2 and x=1 respectively.

Answer:

s = 11.7 ft

Step-by-step explanation:

The bedroom is square, and the area A is equal to 137 ft^2.

Since the area formula for a  square is A = s^2, s = √A.

Here, s = √137 ft, or s = 11.7 ft (to the nearest tenth of a ft)

Answer:

Points B and C

Step-by-step explanation:

Based on the information provided I have made a visual representation of the number line in the attached picture. Each of these points has a numerical value associated with it. Which would be the following ...

Therefore based on the numerical value of these points the two that are opposites are point B and C. They both have a value of 0.5 on each end of the number line, one being negative while the other is a positive, thus opposites.

Answer:

Sample Response: Change the improper fraction to the mixed number 21

2

. There are two complete wholes and a half left over. Plot 21

2

on the number line halfway between 2 and 3, or Point D.

Step-by-step explanation:

Answer:

nonlinear

Step-by-step explanation:

because the axis is located below so its all gucci

Answer:

Nonlinear

Step-by-step explanation:

It's actually a parabola because it has a squared value.

Hope that helps and have a great day!

Answer:

C: (2,3)

Step-by-step explanation:

to solve this algebraically just plug in the x and y values of the points and see if they are true, but here is the graph to juse show you

Answer:

D. 2

Step-by-step explanation:

The rise is +2. The run is +1. Slope = (rise/run) = (+2/+1) = 2

Step-by-step explanation:

D=9

A=pie*radius^2

=3.14*9/2*9/2

=63.58

=64

Answer:

a. A continuous graph

b. a straight line graph with a gentle positive slope

c. The graph consists of three straight lines attached end to end, with the first segment being an inclined positively sloped graph, the second segment is an horizontal line while the third segment is a gentle positively sloped straight line

Step-by-step explanation:

a. A continuous graph

Given that the rain gauge is a digital rain gauge, the values transmitted to the indoor display are those collected by the outdoor sensor, we have that the output to the transmitter can be any value within a possible and finite range of values, therefore the graph is continuous

b. Whereby it rained at a constant rate of 0.1 inch per hour over 24-hour period, we have;

i) Whereby the graph is the level of water in the rain gauge over a given period of time, the shape of the graph will be a straight line graph with a gentle positive slope of 0.1 the domain will be from 0 to 24 hours, while the range will be from 0 to 2.4 inches

c) i) Given that i) the rain falls at a constant rate of 0.1 inch per hour for 6 hours, and ii) over the next 6 hours it stops raining, after which iii) it rained 0.2 inch for the next 12 hours, we have;

i) In the first part The graph will be a straight line graph with a gentle positive slope of 0.1, up to the point (6, 0.6)

ii) When the rain stops for 6 hours, from the point (6, 0.6) to the point (12, 0.12) the graph will be an horizontal line

iii) From the point (12, 0.12) to the point (24, 0.24), is represented on the graph by a straight  line with a gentle positive slope of 0.2.

Answer:

upside down so i might be wrong but the ratio is 3/2

Step-by-step explanation:

3:2 milk to ice cream

other ratios would be

6:4 9:6 12:4 15:5

(the question is slightly confusing but I think this is what they are asking for. )

Answer:

between 4 and 5, also 4<5

=>4<x<5

=>greater than 4 and less than 5

Answer:

I think its 6

Step-by-step explanation:

If 4 less than 5 then 6 is Greater than 3.

So 6 is the blank

Hope this helps

Answer:

The average decrease each year is 60 because 300 divided by 5 is 60.

HOPE THIS HELPS