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polet [3.4K]
3 years ago
14

6. At the Winter Olympics, the ratio of Canadian medals to US to Russia was 1:8:5. If Russia won 25

Mathematics
1 answer:
rewona [7]3 years ago
5 0

Answer:

Step-by-step explanation:

Let x be the total number of medals won by the Russians.

The way to do this is to add the ratios together

1 + 8 + 5 = 14

(5/14) x = 25

Multiply by 14

5*x = 25 * 14

5x = 350              

divide by 5

70

8/14 = x / 70

14x = 8 * 70

14x = 560

x = 560 / 14

x = 40

The USA won 40 medals.

1/14 = x / 70

14x = 70

x = 5

Canada Won 5 medals.

Check

Russia       Won 25 medals

Canada     Won   5 medals

USA           Won 40 medals

Total 70

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exercise alone. Two methods of collecting data have been proposed. Method I: Recruit volunteers who are willing to participate.
aniked [119]

Answer:

I) If method I is used, population of generalization will include all those people who may have varying exercising habits or routines.  They may or may not have a regular excersing habit.  In his case sample is taken from a more diverse population

II) Population of generalization will include people who will have similar excersing routines and habits if method II is used since sample is choosen from a specific population

Step-by-step explanation:

past excercising habits may affect the change in intensity to a targeted excersise in different manner. So in method I a greater diversity is included and result of excersing with or without a trainer will account for greater number of variables than method II.

5 0
3 years ago
Walter invests $100,000 in an account that compounds interest continuously and earns 12%. How long will it take for his money to
prohojiy [21]

Answer:

300000= 100000 e^{0.12 t}

We divide both sides by 100000 and we got:

3 = e^{0.12 t}

Now we can apply natural logs on both sides;

ln(3) = 0.12 t

And then the value of t would be:

t = \frac{ln(3)}{0.12}= 9.16 years

And rounded to the nearest tenth would be 9.2 years.

Step-by-step explanation:

For this case since we know that the interest is compounded continuously, then we can use the following formula:

A =P e^{rt}

Where A is the future value, P the present value , r the rate of interest in fraction and t the number of years.

For this case we know that P = 100000 and r =0.12 we want to triplicate this amount and that means A= 300000 and we want to find the value for t.

300000= 100000 e^{0.12 t}

We divide both sides by 100000 and we got:

3 = e^{0.12 t}

Now we can apply natural logs on both sides;

ln(3) = 0.12 t

And then the value of t would be:

t = \frac{ln(3)}{0.12}= 9.16 years

And rounded to the nearest tenth would be 9.2 years.

5 0
3 years ago
Need this one ASAP please
babunello [35]

Answer:

28..

Step-by-step explanation:

divide 35 by 1 1/4...

7 0
3 years ago
Read 2 more answers
Brainliest for best answer
Mashcka [7]

Answer:

1/2 and 6/1

i belive you cross multiply

so you would get 12/1

so n=12

hopw i helped

Step-by-step explanation:

3 0
3 years ago
Item 6 for what value of a is 8x−8+3ax=5ax−2a an identity?
Readme [11.4K]

Let's rewrite the expression as

8x+3ax-5ax = 8-2a \iff 8x - 2ax = 8-2a \iff 2x(4-a) = 2(4-a)

So, if a \neq 4, you may divide both sides by 4-a, the equation becomes 2x=2, and the only solution is x=1, which means that this is not an identity (an indentity is tautologically true, no matter the value of x).

If instead a = 4, you are multiplying both sides by zero, so the equation becomes

2x \cdot 0 = 2 \cdot 0 \iff 0=0

So, it doesn't matter which value for x you choose, because you will always end up with 0=0, which is obviously always true.

8 0
4 years ago
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