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I am Lyosha [343]
3 years ago
11

In the sport​ competition, France won more gold medals than​ Italy, who won more gold medals than Korea. If the total number of

gold medals won by these three countries is three consecutive integers whose sum is 21​, find the number of gold medals won by each.
Mathematics
2 answers:
lidiya [134]3 years ago
6 0

Answer: The number of gold medals are 6,7, and 8 respectively.

Step-by-step explanation:

Let the first three consecutive integers are

x, x+1, x+2

Sum = 21

According to question, we get that

x+x+1+x+2=21\\\\3x+3=21\\\\3x=21-3\\\\3x=18\\\\x=\dfrac{18}{3}\\\\x=6

Hence, the number of gold medals won by Korea = 6

Number of gold medals won by France = 7

Number of gold medals won by Italy = 8

Hence, the number of gold medals are 6,7, and 8 respectively.

larisa [96]3 years ago
4 0
The answer would be:

Korea: 6

Italy: 7

France: 8

6, 7, 8 are consecutive numbers because they go in the order that you would count from 1-x(an infinite number) with.

I hope this helped! If you have further questions don't be afraid to ask!

~Travis
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Vesnalui [34]

Answer:

C. Similarity cannot be determined

Step-by-step explanation:

Two triangles are considered similar when all three angles are equal and also when the ratio of their corresponding side lengths are equal.

Since we only know the angles of the two triangles given and we are not given the side lengths to determine if their corresponding ratio is the same, we therefore cannot determine if the two triangles are similar in anyway.

3 0
3 years ago
Two experiments are defined below. An event is defined for each of the experiments. Experiment I: Corrine rolls a standard six-s
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Answer: The correct answer is option C: Both events are equally likely to occur

Step-by-step explanation: For the first experiment, Corrine has a six-sided die, which means there is a total of six possible outcomes altogether. In her experiment, Corrine rolls a number greater than three. The number of events that satisfies this condition in her experiment are the numbers four, five and six (that is, 3 events). Hence the probability can be calculated as follows;

P(>3) = Number of required outcomes/Number of possible outcomes

P(>3) = 3/6

P(>3) = 1/2 or 0.5

Therefore the probability of rolling a number greater than three is 0.5 or 50%.

For the second experiment, Pablo notes heads on the first flip of a coin and then tails on the second flip. for a coin there are two outcomes in total, so the probability of the coin landing on a head is equal to the probability of the coin landing on a tail. Hence the probability can be calculated as follows;

P(Head) = Number of required outcomes/Number of all possible outcomes

P(Head) = 1/2

P(Head) = 0.5

Therefore the probability of landing on a head is 0.5 or 50%. (Note that the probability of landing on  a tail is equally 0.5 or 50%)

From these results we can conclude that in both experiments , both events are equally likely to occur.

3 0
3 years ago
Chen wants to buy a pair of pants that regularly cost $54 . Today, the pants are on sale for 60% of the original price.
s2008m [1.1K]
Do a proportion
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Cross multiply and divide
54 x 60= 3,240
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Now subtract
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3 0
3 years ago
Solve the system by the substitution method.
Ghella [55]

Answer:

A) The solution set is (6,-8).

Step-by-step explanation:

3x - y = 26

-3x       - 3x        Subtract 3x from both sides

-y = -3x + 26     Divide both sides by -1

y = 3x - 26

Now plug this into 7x + 8y = -22 to solve for x

7x + 8(3x - 26) = -22        Distribute

7x + 24x - 208 = -22       Combine like terms

31x - 208 = -22

     + 208    + 208            Add 208 to both sides

31x = 186                           Divide both sides by 31

x  = 6

Plug this into y = 3x - 26 to solve for y

y = 3(6) - 26           Multiply

y = 18 - 26              Subtract

y = -8

If this answer is correct, please make me Brainliest!

8 0
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love history [14]

Answer:

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Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

width-to -height ratio of 16:9

Let analyse all possible answers:

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16 divided by 4 is the same as 9 divided by 3 => it is true

  • 28 inches by 21 inches

16 divided by 28 is different as 9 divided by 21 => it is wrong

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16 divided by 48 is different as 9 divided by 27 => it is wrong

  • 26 inches by 19 inches

16 divided by 26 is different as 9 divided by 219=> it is wrong

We choose A.

Hope it will find you well.

7 0
3 years ago
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