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Dahasolnce [82]
3 years ago
9

Jon's coin collection consists of quarters, dimes and nickels. If the ratio of quarters to dimes is 5:2, and the ratio of dimes

to nickels is 3:4,what is the ratio of quarters to nickels?
Mathematics
1 answer:
Margarita [4]3 years ago
8 0

Answer:

The ratio of quarters to nickels is:

  • <u>15:8</u>

Step-by-step explanation:

To solve the exercise, you must first consider how big is the ratio of each one to the other, when it is mentioned that the ratio of quarters to dimes is 5:2 it means that for every 5 quarters, Jon has 2 dimes, for the more quarters there are with respect to the dimes, we simply divide the larger value by the smaller:

  • 5/2 = 2.5

Thus, we know that there are 2.5 more quarters than dimes. Now the following proportion: the ratio of dimes to nickels is 3:4, which means that for every 3 dimes there are 4 nickels, as the nickels are greater in quantity, we are going to see how many times they are greater in proportion than the dimes making again a division of the major over the minor:

  • 4/3 = 1.33333333333 (<em>we are going to use the fractional number so as not to lose decimals</em>).

As we can see, the nickels are a little more than 1 with respect to the dimes, now we are going to create two formulas with those values:

  • <em>q = 2.5d </em>
  • <em>n = 4/3 d</em>

Where:

  • q = quarters
  • d = dimes
  • n = nickels

As you see. We only express the calculated proportions, at first glance you can identify that the number of quarters is greater, but to know how much greater with respect to nickels we are going to divide the two values ​​that accompany "d" in the formulas:

  • <u>2.5 / (4/3) = 15/8</u>

If we express it in ratio as it is in the exercise, we obtain:

  • <u>15:8</u>

So, <u>15:8 is the ratio of quarters to nickels</u>, <em>which means that for every 15 quarters, jon has 8 nickels.</em>

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Answer:

B

Step-by-step explanation:

Multiply through by x+5

2(x + 1) = x + 5 - 1            Combine like terms

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2x = x + 4 - 2

2x = x + 2                         Subtract x from both sides.

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B

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A function is a relation in which each input has only one output.

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Using the mean concept, it is found that the mean difference between the call times and the  company's average call time is given by:

  • C. 0.4

<h3>What is the mean?</h3>
  • The <em>mean </em>of a data-set is given by the <u>sum of all observations in the data-set divided by the number of observations</u>.

In this problem:

  • The four observations are the differences between the time of each phone call and the average time.
  • They are: {-2.32, -1.55, 4.79, 0.68}

Hence, the mean difference is:

M = \frac{-2.32 - 1.55 + 4.79 + 0.68}{4} = 0.4

Hence, option C is correct.

To learn more about the mean concept, you can take a look at brainly.com/question/13451786

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2 years ago
Given the figure shown at the right ABC is a triangle, what would be the measure of the unknown exterior angle (labeled x in the
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Answer:

d. 112°

Step-by-step explanation:

m<A = 64° (given)

m<ABC = 180° - 132° (linear pair)

m<ABC = 48°

According to the exterior angle theorem of a triangle, the exterior angle of a ∆ is equal to the opposite interior angles of the ∆.

48° and 64° are interior angles of ∆ABC that are opposite to the exterior angle, x.

Therefore,

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