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zzz [600]
3 years ago
14

The circumference of the earth is about 40050 km. Which of the following is the closest approximation of the diameter? Use 3.14

for π.
A. 6375 km
B. 9450 km
C. 10025 km
D. 12750 km
Mathematics
1 answer:
prohojiy [21]3 years ago
7 0
D is the answer
40050 divided by 3.14 is 12754.77707
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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
1,100,000,000,000,000,000,000,608 in scientific notation
aliya0001 [1]

Answer:

1.1x10^24

Step-by-step explanation:

7 0
3 years ago
What is the Estimate 823 - 242
ser-zykov [4K]
800-200=600 is a good estimate
5 0
3 years ago
Read 2 more answers
How long does it take a 2700 dollar investment compounded monthly at 9% to make 500 dollars
valina [46]

Answer:

23 months

Also please note that it's everytime ^t/12 not (^t)/12

Step-by-step explanation:

Principal (P) = $2700

rate = 9%

t = ?

Amount = P(1+\frac{r}{100} )^(t/12)

Amount = 2700 +500 = $3200

So substituting all our values we get :

3200 = 2700(1+\frac{9}{100})^(t/12)\\ 3200=2700(1+0.09)^(t/12)\\3200 = 2700(1.09)^(t/12)\\\frac{3200}{2700}  =1.09^(t/12)

So we use log to solve for t :

t/12=log_{1.09} (\frac{3200}{2700})\\

Solving this using a calculator we get:

1.9714966193*12

=23 months

7 0
3 years ago
As fast as possible before today
andrezito [222]

I am writing answers directly.

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6 0
3 years ago
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