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kozerog [31]
3 years ago
6

Alvin has 25 coins that values $4.00, some are quarters and some are dimes. What is the ratio of the numbers of dimes to the num

ber of quarters.

Mathematics
2 answers:
NemiM [27]3 years ago
7 0

Since .25*10 is 2.50 and .10*15 is 1.50 it equals $4. So the ratio is 10:15 which turns to 2:3 ratio simplified.

Zarrin [17]3 years ago
7 0

Let x = # of quarters // Let y = the # of dimes

25x + 10y = 400

x + y = 25

Using these two equations, we can make a system to solve. The formatting on Brainly makes it hard to write on here, so I'll just handwrite it.

Basically, the answer is 3:2.

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Given the differential equation

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What is the function that defines the following sequence? 10, 12, 14, 16, 18…
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The sequence shown is defined by a function that generates <em>even</em> numbers equal or greater than 10, defined by the function s = 10 + 2 · (n - 1).

<h3>How to define the function behind a sequence</h3>

Sequences are sets of elements characterized by at least a rule. In this case, the sequence shown is characterized by a function that generates even numbers equal or greater than 10. The function behind the sequence is shown below:

s = 10 + 2 · (n - 1)     (1)

Where n is the <em>element</em> index.

The sequence shown is defined by a function that generates <em>even</em> numbers equal or greater than 10, defined by the function s = 10 + 2 · (n - 1).

To learn more on sequences: brainly.com/question/21961097

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2 years ago
One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times sm
sergey [27]

One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle. Then the lines are parallel

<h3><u>Solution:</u></h3>

Given that, One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle.  

We have to prove that the lines are parallel.

If they are parallel, sum of the described angles should be equal to 180 as they are same side exterior angles.

Now, the 1st angle will be 1/6 of right angle is given as:

\begin{array}{l}{\rightarrow 1^{\text {st }} \text { angle }=\frac{1}{6} \times 90} \\\\ {\rightarrow 1^{\text {st }} \text { angle }=15 \text { degrees }}\end{array}

And now, 15 degrees is 11 times smaller than the other  

Then other angle = 11 times of 15 degrees

\text {Other angle }=11 \times 15=165 \text { degrees }

Now, sum of angles = 15 + 165 = 180 degrees.

As we expected their sum is 180 degrees. So the lines are parallel.

Hence, the given lines are parallel

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