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allsm [11]
3 years ago
12

in the 2014 winter olympics in sochi russia earned 4 more gold medals than bronze. The number of silver medals earned was 7 less

than twice the number of bronze medals. Russia earned a total of 33 medals. How many of each kind did Russia earn?
Mathematics
1 answer:
LuckyWell [14K]3 years ago
4 0

Answer: Russia earned 13 gold medals, 11 silver medals and 9 bronze medals.

Step-by-step explanation:

Let x represent the number of gold medals that Russia earned.

Let y represent the number of silver medals that Russia earned.

Let z represent the number of bronze medals that Russia earned.

Russia earned a total of 33 medals. This means that

x + y + z = 33 - - - - - - - - - - - 1!

In the 2014 winter olympics in sochi russia earned 4 more gold medals than bronze. This means that

x = z + 4

The number of silver medals earned was 7 less than twice the number of bronze. This means that

y = 2z - 7

Substituting x = z + 4 and y = 2z - 7 into equation 1, it becomes

z + 4 + 2z - 7 + z = 33

4z - 3 = 33

4z = 33 + 3 = 36

z = 36/4 = 9

x = z + 4 = 9 + 4

x = 13

y = 2z - 7 = 2 × 9 - 7

y = 11

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Answer:

Domain = 0≤m≤20 for mEZ+

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Initial amount in the account = $100

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The amount in the bank will keep increasing by $30 monthly until the 20month.

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3 0
3 years ago
For each fraction, decimal, or percent, write the equivalent number from the list below. 0.68, 19/50, 9/20, 80%, 0.54. A. 38% __
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Step-by-step explanation:

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3 years ago
The brand name of a certain chain of coffee shops has a 53% recognition rate in the town of Coffeeton. An executive from the com
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Answer:

B) 0.287

Step-by-step explanation:

For each Coffeeton resident, there are only two possible outcomes. Either they recognize the brand name, or they do not. The probability of a resident recognizing the brand name is independent of other residents. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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And p is the probability of X happening.

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This means that p = 0.53

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So the anwer is:

B) 0.287

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