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3 years ago

What is the x coordinate in the solution of the system of equations y =-2/3x and 4x - 9y =-40

1 answer:

6 0

The two given equations are:
y = -2/3 x
4x - 9y = -40

Substitute by the first equation in the second as follows:
4x - 9(-2/3 x) = -40
4x + 6x = -40
10x = -40
x = -4

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A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which

Aloiza [94]

Answer:

$\frac{4cm}{1year}*\frac{10mm}{1cm}*\frac{1year}{365days}$

Step-by-step explanation:

Whenever we are doing unit conversions, we have to remember to make the first ratio and then each successive ratio should be put <em>in such a way</em> that the top and bottom cancels out with each unit and whatever we want, remains.

A simple example would be if we were to just convert from cm to mm. Suppose we want to convert 5 centimeters to millimeters. We can write the ratios is 2 ways:

First:

$5cm*\frac{10mm}{1cm}$

Second:

$5cm*\frac{1cm}{10mm}$

The first one is correct since we want mm, mm should be on top and cm should be on bottom form cm and cm to get canceled.

Now, for our problem, we want mm on top and day on bottom. So, cm and year should cancel. Looking at the first choice, the conversion factors are correct & skimming through, we see that

cm and cm cancels (top and bottom), also year and year cancels (top and bottom), it will leave us with mm on top and days on bottom, <em>which is what we want</em>.

First answer choice is right.

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3 years ago

Read 2 more answers

Write an addition sentence that helps you solve 15-9.

Lemur [1.5K]

Answer:

I have 15 cookies and my brother ate 9 now I have 6 cookies.

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3 years ago

Jessica rolled two six-sided number cubes with sides numbered 1 through 6. The list below shows the possible outcomes when rolli

timurjin [86]

The list of possible outcomes in the question is totally incomprehensible. But from our vast experience with questions like this and dice in general, we know there are 36 of them.

Now, here are all the ways to roll a total of 9:

3, 6
6, 3
4, 5
5, 4

Four of the 36 possible rolls result in a 9.
So the probability (with honest dice) is 4/36 = 1/9 = 11.1% .

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3 years ago

The weights, in pounds, for 15 horses in a stable were

sweet-ann [11.9K]

The median value remains unchanged if the four values are reported using the corrected weight.

The correct answer is an option (B)

We know that the mean is calculated by finding the sum of all the weights of the horses and then dividing by the number of horses.

Decreasing one of the weights would decrease the sum and therefore decrease the mean.

So, the choice A is incorrect.

We know that the range is the difference between the highest and lowest weights, so decreasing the lowest weight would increase the range.

So, the choice C is incorrect.

We know that the Standard deviation is calculated based on the mean weight of the horses.

And decreasing one of the weights decreases the mean and therefore would affect the standard deviation.

So, the choice D is incorrect.

Now, as we know the median the middle value in a sorted, ascending or descending list of values.

So, the median weight is found by ordering the horses’ weights from least to greatest and then determining the middle value from this list of weights.

Decreasing the value for the horse with the lowest weight doesn’t affect the median since it’s still the lowest value.

Therefore, the median value remains unchanged if the four values are reported using the corrected weight.

The correct answer is an option (B)

Learn more about the median here:

brainly.com/question/28060453

#SPJ4

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1 year ago

Write a number in which the value of the 3 is ten times greater than the value of the 3 in 135, 864

Aleonysh [2.5K]

Answer:

345,456

Step-by-step explanation:

The value of 3 in 135,864 is 30,000.

We want to write a number that is ten times 30,000.

We could write any other number in which the value of 3 is 300,000.

There are infinitely many numbers that we can write.

Some examples are:

345,456

1,315,445

5,354,456

and so on and so forth.

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4 years ago