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3 years ago

Use the eliminatio method to solve the system of equations. Choose the correct order pair: 3x+5y=48 -3x+5y=12

Mathematics

1 answer:

kifflom [539]3 years ago

7 0

Answer:

(6,6)

Step-by-step explanation:

3x+5y=48

-3x+5y=12

Ok so when you're doing elimination you want to combine all of the like terms. In this case, we need to combine 3x and -3x, 5y and 5y, and 48 and 12. 3x and -3x cancel out, so that leaves you with 10y=60. Solving for y gives you y=6. Now you need to solve for x, so using 3x+5y=48, by plugging in y you get 3x+(5*6)=48. Simplifying that gives you 3x+30=48. Subtract 30 and divide by 3, and you get x=6. Thus the Answer is (x,y) or (6,6)

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One morning the temperature is -28 degrees in Anchorage, Alaska, and +65 degrees in Miami, Florida. Which city is warmer in the

Alecsey [184]

Answer:

B. Miami is 93 degrees warmer than Anchorage.

Step-by-step explanation:

Miami-Anchorage is equal to 65-(-28) which is equal to 65+28 which is equal to 93. Thus, Miami is warmer by 93 degrees.

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3 years ago

The following stem-and-leaf plot represents the test scores for

rewona [7]

Considering the given stem-and-leaf plot, the quartiles are given as follows:

The first quartile is of 67.5.

The second quartile, which is the median, is of 84.5.

The third quartile is of 91.5.

<h3>What are the median and the quartiles of a data-set?</h3>

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.

The first quartile is the median of the first half of the data-set.

The third quartile is the median of the second half of the data-set.

There is an even number of elements(26), hence the median is the mean of the 13th and 14th elements, which are 83 and 86, hence:

Me = (83 + 86)/2 = 84.5.

The first half has 12 elements, hence the first quartile is the mean of the 6th and 7th elements, which are 67 and 68, hence:

Q1 = (67 + 68)/2 = 67.5.

The third half also has 12 elements, starting at the second 86, hence the third quartile is the mean of the 6th and 7th elements of this half, hence:

Q3 = (91 + 92)/2 = 91.5.

More can be learned about the quartiles of a data-set at brainly.com/question/28017610

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2 years ago

A company recently downsized its number of employees by 30%. If there are still 70 employees, how many employees were there pr

wolverine [178]

Hello there! Given there are 70 employees after downsizing by 30%, let x equal the number of employees prior to the layoffs:

70 would have to be 70% of x.

To find what 70 is 70% of, we can multiply by 100 because 100 is the base denominator:

70 • 100 = 7,000

Given this equation, we can now divide our result by 70 to get what the amount of employees before the layoffs is:

7,000 divided by 70 gives us 100.

x = 100

Now, we can plug our answer in to see if it makes sense.

Does 70/100 represent 70%?

Yes, it does. 70/100 reduces to 7/10, and by adding 3/10 to our 70%, we get the initial amount of employees.

Your final answer: There were 100 employees prior to the layoffs. If you have any extra questions, let me know and I will gladly assist you.

7 0

1 year ago

Which score indicates the highest relative position? I. A score of 2.6 on a test with X = 5.0 and s = 1.6 II. A score of 650 on

Zanzabum

Answer:

A score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6 and A score of 48 on a test with $\bar X$ = 57 and s = 6 indicate the highest relative position.

Step-by-step explanation:

We are given the following:

I. A score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6

II. A score of 650 on a test with $\bar X$ = 800 and s = 200

III. A score of 48 on a test with $\bar X$ = 57 and s = 6

And we have to find that which score indicates the highest relative position.

For finding in which score indicates the highest relative position, we will find the z score for each of the score on a test because the higher the z score, it indicates the highest relative position.

The z-score probability distribution is given by;

Z = $\frac{X-\bar X}{s}$ ~ N(0,1)

where, $\bar X$ = mean score

s = standard deviation

X = each score on a test

The z-score of First condition is calculated as;

Since we are given that a score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6,

So, z-score = $\frac{2.6-5}{1.6}$ = -1.5 {where $\bar X = 5.0$ and s = 1.6 }

The z-score of Second condition is calculated as;

Since we are given that a score of 650 on a test with $\bar X$ = 800 and s = 200,

So, z-score = $\frac{650-800}{200}$ = -0.75 {where $\bar X = 800$ and s = 200 }

The z-score of Third condition is calculated as;

Since we are given that a score of 48 on a test with $\bar X$ = 57 and s = 6,

So, z-score = $\frac{48-57}{6}$ = -1.5 {where $\bar X = 57$ and s = 6 }

AS we can clearly see that the z score of First and third condition are equally likely higher as compared to Second condition so it can be stated that A score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6 and A score of 48 on a test with $\bar X$ = 57 and s = 6 indicate the highest relative position.

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3 years ago

A square has an area of 16 square millimeters. What is the length of each side of the square? [free brainliest!]

Step2247 [10]

Answer:

8mm

if it is not correct please tell me

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3 years ago

Read 2 more answers