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2 years ago

Which best represents the commutative property of addition?

Mathematics

2 answers:

weqwewe [10]2 years ago

7 0

Answer: a+b=b+a

Step-by-step explanation: 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+44

sineoko [7]2 years ago

6 0

Answer:

25+25+25+25+25...etc

Step-by-step explanation:

You might be interested in

A lighting designer is finalizing the lighting plan

kykrilka [37]

Answer:

Step-by-step explanation:

It depends on the shape of the stage, generally, the stage is cuboidal or cubical in shape, so assuming the stage is cuboidal.

Here, the spotlight has top cover the minimum angle of 90° (for a corner position of the spotlight.

Now, compute how much angles the spotlight can cover.

From its central position, the spotlight can rotate 25° to the left or right, so, angle covered due to rotation is 25°+25°=50°.

As the beam of light from the spotlight can spread 22°.

So, the total angle covered by spotlight= 50° + 22°=72°, which is less than the minimum angle required to cover the entire stage.

Hence, the designer can't use the spotlight to light each of the objects on the stage.

6 0

3 years ago

I need help and it due tomorrow!!! ill give aomethe brainlest answer

DochEvi [55]

Answer:

The measure of the indicated angle is 142°

Step-by-step explanation:

The sum of the measures of the interior angles of a polygon is

∑m = (n - 2) × 180°, where

n is the number of its side or its angles

In the given figure

∵ The polygon has 6 angles

∴ n = 6

→ Use the rule above to find the sum of the measures of its interior ∠s

∵ ∑m = (6 -2) × 180°

∴ ∑m = 4 × 180°

∴ ∑m = 720°

∵ The measures of its interior ∠s are (2x - 50)°, (x + 40), 80°, (x + 20)°,

x°, 150°

→ Add them to find their sum

∴ ∑m = 2x - 50 + x + 40 + 80 + x + 20 + x + 150

→ Add the like terms in the right side

∴ ∑m = (2x + x + x + x) + (-50 + 40 + 80 + 20 + 150)

∴ ∑m = 5x + 240

→ Equate the right sides of ∑m

∵ 5x + 240 = 720

→ Subtract 240 from both sides

∴ 5x + 240 - 240 = 720 - 240

∴ 5x = 480

→ Divide both sides by 5

∴ x = 96

→ To find the indicated angle substitute x in its measure by 96

∵ The measure of the indicated angle = 2(96) - 50

∴ The measure of the indicated angle = 192 - 50

∴ The measure of the indicated angle = 142°

5 0

3 years ago

Louis spent 12 hours practicing guitar if 1/4 of the time was spent practicing chords, how much time did Louis spend practicing

Kryger [21]

$\frac{1}{4} \ of \ 12= \frac{1}{4}*12= \boxed{3 \ hours \ were \ used \ to \ chords}$

8 0

2 years ago

Drag each tile to the correct box. not all tiles will be used.

lana66690 [7]

Answer:

$y=\frac{13}{6}x$ $y= \frac{11}{5}x$ $y = \frac{21}{9}x$ $y = \frac{19}{8}x$

Step-by-step explanation:

Given

The attached graph

Required

Equations with higher unit rate

First, calculate the unit rate of the graph

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

$(x_1.y_1) = (0,0)$

$(x_2.y_2) = (7,15)$

So:

$m = \frac{15 - 0}{7 - 0}$

$m = \frac{15}{7}$

$m = 2.143$

For the given options.

The unit rate is the coefficient of x

So: $y = \frac{19}{8}x$

Going by the above definition of unit rate.

$m = \frac{19}{8}$

$m = 2.375$

$y = \frac{27}{13}x$

$m = \frac{27}{13}$

$m = 2.077$

$y = \frac{21}{9}x$

$m = \frac{21}{9}$

$m = 2.333$

$y= \frac{11}{5}x$

$m= \frac{11}{5}$

$m= 2.20$

$y = \frac{15}{7}x$

$m = \frac{15}{7}$

$m = 2.143$

$y = \frac{31}{15}x$

$m = \frac{31}{15}$

$y = 2.067$

$y=\frac{13}{6}x$

$m=\frac{13}{6}$

$m=2.167$

The unit rates grater than the graph's from small to large are:

$y=\frac{13}{6}x$ $y= \frac{11}{5}x$ $y = \frac{21}{9}x$ $y = \frac{19}{8}x$

$m=\frac{13}{6}$ $m= \frac{11}{5}$ $m = \frac{21}{9}$ $m = \frac{19}{8}$

4 0

3 years ago

Read 2 more answers

A police officer would like to estimate the proportion of petty theft cases that have gone unsolved in a large city. He takes a

nata0808 [166]

Answer:

$0.625 \pm 1.645*0.0571$

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

$\pi$ is the estimate

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ , also called the critical value.

The standard error is:

$s = \sqrt{\frac{\pi(1-\pi)}{n}}$

90% confidence level critical value

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.955$ , so $z = 1.645$ .

Estimate:

72 petty theft cases and finds 45 of these have gone unsolved.

So $\pi = \frac{45}{72} = 0.625$

Standard error:

$s = \sqrt{\frac{\pi(1-\pi)}{n}} = \sqrt{\frac{0.625*0.375}{72}} = 0.0571$

Answer:

$0.625 \pm 1.645*0.0571$

7 0

2 years ago