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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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Step-by-step explanation:

Yes, it's reasonable.

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You get it wrong?!!

But your estimate should be about 9/3 = 3. Now you look at your calculator with great misgivings, because it made a mistake. Did it or did you? Well ultimately you did, but you have to blame something. So the calculator takes the heat.

Who  knows? Maybe the decimal doesn't work. It's stuck or something. In any event you should be aware that there's no way the answer could be 0.36 when you estimate it to be 3.

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2 years ago
two trains leave the station at the same time one heading west and the other East the westbound train travels at 55 miles per ho
Diano4ka-milaya [45]
Recall your d = rt, distance = rate * time

so... one train goes west and the goes the opposite way... alrite... so... notice, by the time 338 miles have been covered by both, it will have been "t" hours, and whatever "t" is, is the same amount of time the westbound train has been running as well as the eastbound train has been running.

now, let's say, since by "t" hours they've covered 338 altogether, so, if the westbound train has covered say "d" miles, then the eastbound train would have covered the slack from 338 and d, that is, "338 - d".

\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
Westbound&d&55&t\\
Eastbound&338-d&75&t
\end{array}
\\\\\\
\begin{cases}
\boxed{d}=55t\\
338-d=75t\\
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338-\boxed{55t}=75t
\end{cases}
\\\\\\
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3 years ago
What is the probability that a point chosen at random in the given figure will be inside the larger circle and outside the small
Yuki888 [10]
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3 years ago
Read 2 more answers
Samuel is trying to construct the inscribed circle of a triangle.
Yuki888 [10]

The next step to complete the construction will connect the in-center to one of the sides of the triangle.

<h3>What is a circle?</h3>

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

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Where two angles bisector meets, the point called in-center.

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3 0
2 years ago
A. One player places 1 red, 5 green and 3 blue tiles in Bag A, and 6 red, 4 green, and 2 blue in Bag B. What is the probability
cupoosta [38]

Answer:

\frac{8}{27} is the probability that a player draws out two tiles of the same color assuming they are drawing one tile from each bag.

Step-by-step explanation:

In each bag there are red, green, and blue tiles, meaning that no matter which color is pulled out first there is always some probability that the second tile will be the same color. So, we can set up three possible outcomes:

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Green: There is a \frac{5}{9} probability of the player pulling out a green tile first. In this case we want to calculate the probability of the second tile being green, which would be \frac{4}{12}. \frac{5}{9}×\frac{4}{12}=\frac{5}{27}.

Blue: There is a \frac{3}{9} probability of the first tile being blue in which case we are hoping for the second tile to be blue as well. The probability of the second tile being blue is \frac{2}{12} on its own, and them both being blue is  \frac{3}{9}×\frac{2}{12}=\frac{1}{18}

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3 years ago
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