Camille spent 22 minutes and 30 seconds opening presents.
Since Camille had a very fun birthday party with lots of friends and family attending, and the party lasted for 3 hours, and she and her friends played games for 3/8 of the time, ate pizza and cake for 50% of the time , and spent the remainder of the time opening presents, to determine the amount of time spent opening presents the following calculation must be performed, posing the following linear equation:
Total time - time spent on other activities = time spent opening presents
- 3 - (3 x 3/8) - (3 x 0.5) = X
- 3 - 1.125 - 1.5 = X
- 3 - 2.625 = X
- 0.375 = X
- 1 = 60
- 0.375 = X
- 0.375 x 60 = X
- 22.5 = X
Therefore, Camille spent 22 minutes and 30 seconds opening presents.
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3.2=x______________________________
Answer:
These patterns recur in different contexts and can sometimes be modelled mathematically. Natural patterns include symmetries, trees, spirals, meanders, waves, foams, tessellations, cracks and stripes. Early Greek philosophers studied pattern, with Plato, Pythagoras and Empedocles attempting to explain order in nature.
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<u>Answer:
</u>
Kyle gave 2/7th of his money to his wife and spent 3/5 of the remainder. If he had $300 left, the money had by Kyle at first is $1050
<u>Solution:
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Step 1:
Consider “x” as the money which Kyle had initially.
From question, Kyle gave 2/7th of his money to his wife. So the remaining money left with Kyle is given as,

----- eqn 1
Now the remaining money left with Kyle is 5/7th.Given that Kyle spent 3/5 of the remaining money.
Now the remaining money left with Kyle is given as

Now kyle is left with $300, which is 2/5th of the initial money x .
We get equation as

2x = 1500
x = 750
Now Kyle is left with 750$ which is 5/7th of the initial amount x.( by using eqn 1)
We get equation as

5x = 5250
x = 1050
So the amount had by Kyle at first is $1050