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algol [13]
2 years ago
12

During a checkers game, there are 16 pieces left. The ratio of black to red is 3 : 5. How many black pieces are on the board? Ex

plain how you found your answer.
Mathematics
1 answer:
kotegsom [21]2 years ago
3 0

Answer:

6 black pieces

10 red pieces

Step-by-step explanation:

The way to interpret ratios is like so:

Adding up both parts of the ratio gives 8, i.e. 3 + 5

So for every 8 pieces, 3 are black and 5 are red;

There are 16 pieces, which is 2 × 8;

So, there are (2 × 3) black pieces and (2 × 5) red pieces, i.e. 6 black and 10 red

So, to solve:

Add all parts of the ratio (3 + 5);

Divide the number of pieces (16) by this sum of ratio parts (8);

Multiply the value from the division (2) by each part of the ratio

Tip:

It is important to take note of the order in the ratio, so the ratio of black to red means the number that comes first in the ratio represents parts black and the one that comes second represents parts red;

If the wording was the ratio of red to black, the number that comes first would represent parts red and the second would represent parts black

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Answer:

No solution.

Step-by-step explanation:

2x + y = 7

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From the first equation:

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this doesn't make sense so theer is:

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We have then a total number of grades of 39.

The corresponding relative frequency for a grade is the ratio of the frequency to the total number of "samples", 39 in this case.

Then, for grade A, the relative frequency (RF) will be:

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This will be the fraction of the total grades that are A. Represented as a percentage will be 10.26%, rounded to two decimal places.

Now, to complete the table we do the same for the other frequencies:

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RF_C=\frac{17}{39}\approx0.4359\approx43.59\text{ \%}

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RF_D=\frac{6}{39}\approx0.1538\approx15.38\text{ \%}

For grade F:

RF_D=\frac{2}{39}\approx0.0513\approx5.13\text{ \%}

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\text{lcm}(18,42)\times\text{GCD}(18,42)=18\times 42=756

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