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Which addition equation matches the number line

Alborosie

Answer:

$\frac{2}{3}+(-2\frac{1}{3})=-1 \frac{2}{3}$ is correct.

Step-by-step explanation:

The number line between two consecutive integers is divided into 3 intervals. This means each of these intervals is 1/3. For example, starting from 0 towards right the first small line is at 1/3, the next at 2/3 and then at 3/3 = 1.

Similarly, towards the left of 0, we have -1/3, -2/3 and then-1. Based on this data, we can find the end points of the given line

The location of right end point is 2/3
The location of left end point is $(-1\frac{2}{3} )$

The distance between two endpoints can be calculated as:

Right End point - Left End point

$=\frac{2}{3} - (-1\frac{2}{3})\\\\ =\frac{2}{3} + 1\frac{2}{3}\\\\ =\frac{2}{3}+\frac{5}{3}\\\\ =\frac{7}{3}\\\\ =2\frac{1}{3}$

So, the equation can be set up as:

$\frac{1}{3}-(-1\frac{2}{3})=2\frac{1}{3}\\\\ \frac{1}{3}= 2\frac{1}{3}+(-1\frac{2}{3})\\\\ \frac{1}{3}-2\frac{1}{3}=-1\frac{2}{3}\\\\ \frac{1}{3}+(-2\frac{1}{3})=-1\frac{2}{3}$

Which matches with the final option.

Keywords: addition, graph, number line

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5 0

3 years ago

Read 2 more answers

Try It #3

nlexa [21]

The distance of the road junction form Timpson is given as 21.57 miles.

<h3>We have to solve this using the Pythagoras theorem method</h3>

We have AT = $\sqrt{TN^{2}+AN^{2} }$

√60² + 12² = 12√26

∠TMG = LN = 90 degrees

Therefore we have the system

$\frac{TM}{60} = \frac{22}{12\sqrt{26} }$

When we cross multiply we would have to solve for TM

TM = 21.57 miles

Hence the distance of the road junction form Timpson is given as 21.57 miles.

Read more on distance here:

brainly.com/question/17273444

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6 0

2 years ago

The hourly wages earned by 20 employees are shown in the first box and whisker plot below. The person earning $15 per hour quits

serg [7]

I added the plots in the attachments.

Answer:

The mean will decrease

The median will remain the same

Explanation:

1- checking the mean:

Mean of the salaries is calculated as follows:

$Mean = \frac{sum-of-salaries}{number-of-employees}$

Now, we can note that two parameters affect the mean, let's consider each:

a. Number of employees:

We are given that one employee is replaced with another. This means that the number of employees did not change

b. Sum of salaries:

We are given that a person earning $15 left and the new person earns $7. This means that:

New sum of salaries = old sum of salaries - 15 + 7 = old sum of salaries - 8

This means that the sum of salaries decreased by 8

Now, for the mean:

We can conclude that since the numerator decreased while the denominator stayed the same, the mean will decrease

2- checking the median:

In the whisker plots, the median is represented by the vertical line inside the plot.

In the first plot, we can note that the vertical line is nearly half the distance between 9 and 10. This means that, for the first plot, the median is approximately 9.5

In the second plot, the place of the median is unchanged. It is still approximately midway between 9 and 10 which means that the median in the second plot is approximately 9.5

Therefore, the median of the data remains unchanged.

Hope this helps :)