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Mamont248 [21]
3 years ago
10

The actual distance between two villages is 120 km. On a map of the area, 0.5 cm represents 2 km. What is the actual distance be

tween the villages on the map?
Mathematics
2 answers:
Oduvanchick [21]3 years ago
8 0
On the map, the distance between the villages is 30 cm.
Since .5 cm represents 2 km, each cm on the map represents 4 km in actual distance, so to find the distance on the map, you divide 120 by 4 and you get 30. 
An alternative way to think of it is to set up a proportion. 
First, you would do .5/2 equals x/120
Next, you would cross multiply and get 2x equals 60
Then, you would solve and get x equals 30 
Your answer is 30 cm
otez555 [7]3 years ago
6 0
If .5cm is 2km, then 1 cm is 4 km, and therefore 120/4 is 30, so 30 centimeters on the map
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Help?? 15 points for whoever helps! QUICK!!
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Hii.

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2 years ago
Ancient paintings were found on cave walls in South America. The Carbon-14 in the paintings was measured and was found to be 19%
balu736 [363]

Answer: C. 13,839 (the answer is not among the given options, however the result is near this value)

Step-by-step explanation:

The exponential decay model for Carbon- 14 is given by the followig formula:

A=A_{o}e^{-0.0001211.t}  (1)

Where:

A is the final amount of Carbon- 14  

A_{o}= is the initial amount of Carbon- 14

t is the time elapsed (the value we want to find)

On the other hand, we are told the current amount of Carbon-14 A  is 19\%=0.19, assuming the initial amount of Carbon-14 A_{o}= is  100\%:

A=0.19A_{o} (2)

This means: \frac{A}{A_{o}}=0.19 (2)

Now,finding t from (1):

\frac{A}{A_{o}}=e^{-0.0001211.t}  (3)

Applying natural logarithm on both sides:

ln(\frac{A}{A_{o}})=ln(e^{-0.0001211.t})  (4)

ln(0.19)=-0.0001211.t  (5)

t=\frac{ln(0.19)}{-0.0001211}  (6)

Finally:

t=13713.717years  This is the age of the paintings and the option that is nearest to this value is C. 13839 years

6 0
3 years ago
Last year Nancy weighted 37 5/8 pounds. This year she weighed 42.7 pounds. How much did she gain?
Andre45 [30]

Answer:

Nancy gained 5.075 pounds.

Step-by-step explanation:

5/8=0.625

37.625

42.7-37.625=5.075

4 0
3 years ago
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