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prisoha [69]
2 years ago
8

Aaron is having his birthday party at King's Castle Laser Tag. He is making crowns for his guests to wear. He opens a bag of 100

stick-on gems. His sister asks for some, so he gives her 12 gems. He evenly divides the remaining gems among the 8 crowns.
Mathematics
1 answer:
noname [10]2 years ago
7 0

Answer: 11 gems

Step-by-step explanation:

After Aaron gives 12 gems to his sister, he is left with 100-12 gems = 88 gems.

If he divides the gems evenly among the crowns, each one will have 88/8 gems = 11 gems.

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In the following credit card statement, what is the balance?
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3 years ago
Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. Whe
Rama09 [41]

You can see how this works by thinking through what's going on.

 

In the first year the population declines by 3%.  So the population at the end of the first year is the starting population (1200) minus the decline: 1200 minus 3% of 1200.  3% of 1200 is the same as .03 * 1200.  So the population at the end of the first year is 1200 - .03 * 1200.  That can be written as 1200 * (1 - .03), or 1200 * 0.97

 

What about the second year?  The population starts at 1200 * 0.97.  It declines by 3% again.  But 3% of what???  The decline is based on the population at the beginning of the year, NOT based no the original population.  So the decline in the second year is 0.03 * (1200 * 0.97).  And just as in the first year, the population at the end of the second year is the population at the beginning of the second year minus the decline in the second year.  So that's 1200 * 0.97 - 0.03 * (1200 * 0.97), which is equal to 1200 * 0.97 (1 - 0.03) = 1200 * 0.97 * 0.97 = 1200 * 0.972.

 

So there's a pattern.  If you worked out the third year, you'd see that the population ends up as 1200 * 0.973, and it would keep going like that.

 

So the population after x years is 1200 * 0.97x

5 0
3 years ago
I need help with this pleaseee
Elodia [21]

Answer:

34, D

Step-by-step explanation:

Change 4 and 1/4 to an improper fraction

4 1/4 = 17/4

Now, you would divide 17/4 by 1/8...

17/4 divided by 1/8

Reciprocate the fraction 1/8 and change the division sign to multiplication to get...

17/4 multiplied by 8/1

= 136 / 4

Simplify

136 / 4

= 34

So, you can grow 34 plants.

Hope this helps!

7 0
3 years ago
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