Which equation illustrates the commutative property of addition?

Mathematics

2 answers:

lbvjy [14]3 years ago

3 0

commutative property of addition
answer is

A. 12 + 6 + 15 = 12 + 15 + 6

Arisa [49]3 years ago

3 0

Commutative property means that you can rewrite the equation in a different order. So for example, if I have 3 + 8 + 5 I can rewrite it as 5 + 3 + 8 or 8 + 5 + 3 and so on and so forth. So, we must go over all the options to narrow it down. It isn't B or C, So lets look at D. D shows you 12 + 6 + 15 = 12 + 6 + 15 this is the wrong answer because it does not rewrite the equation. It just repeats itself so lets take a look at option A. A says 12 + 6 + 15 = 12 + 15 + 6 this is the correct answer because it rewrote the equation in a different order but they are still the same numbers.
So the correct answer is
A) 12 + 6 + 15 = 12 + 15 + 6

You might be interested in

By how many degrees did the direction of the boat change

gulaghasi [49]

Answer:

The boat turned 39° degrees when it made its first turn.

Step-by-step explanation:

The question is as following:

A boat traveled north for 28 miles, then tuned x° south west and traveled for 25 miles before stopping. When it stopped, the boat was 18 miles from its starting point.

By how many degrees did the direction of the boat change when it made its first turn? Round to the nearest degree.

===================================================

See the attached figure which represent explanation of the problem.

The boat start from point A to point B then stopped at point C

AB = 28 miles, BC = 25 miles and AC = 18 miles.

It is required to find the angle x

By applying the cosine Rule:

AC² = AB² + BC² - 2 * AB * BC * cos x

18² = 28² + 25² - 2 * 28 * 25 * cos x

2 * 28 * 25 * cos x = 28² + 25² - 18²

1400 cos x = 1085

Cos x = 1085/1400 = 0.775