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4 years ago

State the commutative property of addition using the variables a and b.

Mathematics

2 answers:

Verdich [7]4 years ago

7 0

Answer:

a+b=b+a

Step-by-step explanation:

so 7+4=12 and 4+7=12 so addition is commutative

larisa [96]4 years ago

4 0

Step-by-step explanation: To understand the commutative, let's look at the following problem.

2 + 3 = 3 + 2

The problem shown above demonstrates the commutative property of addition. In other words, the commutative property of addition says that changing the order of the addends does not change the sum.

For example here, we can easily see that the sum of 2 + 3 gives us 5 is equal to the sum of 3 + 2 which is also 5.

In more general terms, the commutative property of addition can be written as a + b = b + a where a and b are each variables that can represent any number.

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Abigail is raising money for a school trip by selling bags of chips and packs of cookies. The price of each bag of chips is $1.5

Mkey [24]

The number of bags of chips sold is 8 and the number of packs of cookies sold is 12

<em><u>Solution:</u></em>

Let "a" be the number of bags of chips sold

Let "b" be the number of packs of cookies sold

Given that,

Cost of one bag of chips = $ 1.50

Cost of one pack of cookies = $ 1.25

Yesterday Abigail made $27 from selling a total of 20 bags of chips and packs of cookies

<em><u>So we can frame a equation as:</u></em>

Number of bags of chips sold + number of packs of cookies sold = 20

a + b = 20 ---- eqn 1

Also given that Abigail made $27 from selling

number of bags of chips sold x Cost of one bag of chips + number of packs of cookies sold x Cost of one pack of cookies = $ 27

$a \times 1.50 + b \times 1.25 = 27$

1.5a + 1.25b = 27 ---- eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to find values of "a" and "b"</u></em>

From eqn 1,

a = 20 - b ---- eqn 3

Substitute eqn 3 in eqn 2

1.5(20 - b) + 1.25b = 27

30 - 1.5b + 1.25b = 27

-0.25b = -3

Therefore from eqn 3,

a = 20 - b = 20 - 12 = 8

number of bags of chips sold = 8

number of packs of cookies sold = 12

3 0

3 years ago

Through: (-5,2), slope=-4/5

Oksana_A [137]

Answer:

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

We have the slope m = -4/5 and the point (-5, 2). Substitute:

$y-2=-\dfrac{4}{5}(x-(-5))\\\\y-2=-\dfrac{4}{5}(x+5)$

7 0

3 years ago

What is the probability of rolling a number less than 5 and flipping heads?

lys-0071 [83]

4/12 = 33%

There are 12 options in total. If you get rid of the tails and numbers 5 and 6, there are 4 options left. So that means 4 out of 12 (4/12). 4/12 in percentage form is 33%.

I hope this helped. Brainliest appreciated.

7 0

3 years ago

Three of the angles of a quadrilateral are 90 , 156 and 28 . what is the size of the 4th angle?

anyanavicka [17]

The sum of the sides of a quadrilateral is equal to 360º.
x= 4th angle measurement

We have the following equation:

90+156+28+x=360
x=360-90-156-28
x=86

Answer: the size of the 4th angle would be 86º.

8 0

3 years ago

Read 2 more answers

Find the area of the figure below.

Fudgin [204]

Answer:

Area = 42 in^2

Step-by-step explanation:

here's your solution

=> divide above picture in two parts

=> rectangle and traingle

=> area of rectangle = length* width

=> area of rectangle = (5*6)in.

=> area of rectangle = 30 in^2

=> now, area of traingle = 1/2*base *height

=> area of traingle = 1/2*4*6

=> area of traingle = 12 in^2

=> area of figure = 30 in^2 + 12 in^2

=> Area = 42 in^2

hope it helps

3 0

3 years ago

Read 2 more answers