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just olya [345]
2 years ago
5

Use deductive reasoning to tell whether each statement is true or false. If it is

Mathematics
1 answer:
kupik [55]2 years ago
5 0


so the answer for this particular question is unknown because I havent done this course before
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3.If the ratio of lynx to mountain lions and wolverines in the park is 2:3:1.So for every 2 lynx, there are 3 mountain lions and
Zolol [24]
A.  The ratio of lynx to mountain lions to wolverines is 2:3:1.

Thus, there are 2 lynx in the ratio.  If there were 6 lynx, we would have to multiply all of the numbers in the ratio by 3 (because 6/2 = 3) to keep the ratio in the same proportion.  

Therefore, because there is 1 wolverine in the ratio, and 1 * 3 = 3, if there were 6 lynx, there would be 3 wolverines.

b. We can use the same ideas that we had in part a to help us in part b.
There are 3 mountain lions in the ratio, but there are 15 mountain lions in the problem.  Thus, the multiplier is 5, because 15/3=5.

Therefore, because there are 2 lynx in the ratio, and 2*5 = 10, if there were 15 mountain lions, there would be 10 lynx.

c.  There is one wolverine in the ratio, but there are 10 wolverines in the problem.  Thus, the multiplier is 10, because 10/1 = 10

Therefore, because there are 3 mountain lions in the ratio, and 3 * 10 = 30, if there were 10 wolverines in the park, then there would be 30 mountain lions.

d.  The total number of lynx, mountain lions, and wolverines is 30.
To find out how many of each animal there should be, we must make an equation using the ratio and the variable x. 

2x + 3x + 1x = 30

This equation means that the total number of animals together is 30, which is true.  Now let's simplify by combining like terms.

6x = 30

Finally, we can simplify by dividing both sides by the coefficient of x, or 6.

x = 5

Thus, going back to our original equation, we know that the amount of lynx is 2x, mountain lions is 3x, and wolverines is 1x.

Lynx = 2x = 2(5) = 10 lynx
Mountain Lion = 3x = 3(5) = 15 mountain lions
Wolverines = 1x = 1(5) = 5 wolverines

Hope this helps! :)

7 0
3 years ago
Consider a normally distributed data set with a mean of 75 and a standard deviation of 5. If
BlackZzzverrR [31]

Answer:

GOOGLE

Step-by-step explanation:

GOOGLE ATE MY BONEST CHILDREN

3 0
3 years ago
A car completes a journey of 570 km at an average speed of 75 km/h calculate the time taken for the journey in hours and minutes
Evgesh-ka [11]
570/75=7 hours and 36 minutes
4 0
3 years ago
Solve the equation. 9x−(3x+9)=2x−25 Select the correct choice below and fill in any answer boxes in your choice. A. The solution
nataly862011 [7]

Answer: Choice A, x=-4

Step-by-step explanation:

1. 9x−(3x+9)=2x−25

2. 9x-3x-9=2x-25

3. 6x-9=2x-25

4. 6x-9=2x-25  

   -2x          -2x

5. 4x-9=-25

       +9    +9

6. 4x=-16 (divide both sides by 4)

7. x=-4

7 0
2 years ago
Is this corrrecct??? answe quick!?​
jok3333 [9.3K]

Answer: x = 27

Step-by-step explanation:

2x+3x+45=180º because all of the angles of a triangle add up to 180

5x=180-45

5x=135

x=135/5

x=27

5 0
3 years ago
Read 2 more answers
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