This weekend Vanessa made 4 times as many batches as last weekend. She made a total of 25 batches for the two weekends. Determin
1 answer:
Answer: The number of batches made by Vanessa last weekend = 5
Number of batches made this weekend =20
Step-by-step explanation:
Let x be the number of batches made y Vanessa last weekend.
Given : This weekend Vanessa made 4 times as many batches as last weekend.
i.e. Number of batches made this weekend = 4x
She made a total of 25 batches for the two weekends.
i.e.
Divide both sides by 5 , we get
i.e. number of batches made y Vanessa last weekend = 5
Number of batches made this weekend =20
Hence, the number of batches made by Vanessa last weekend = 5
Number of batches made this weekend =20
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I can't see how any of those formulas show exponential decay. (Did you type those correctly?)
The formula that will show the remaining amount correctly is:
ending amount = Bgng Amount / 2^n
where "n" is the number of haf-lives.
So, for example if half life = 4 hours and if we want to calculate the amount after 9 hours (that's 2.25 half-lives) then:
ending amount = Bgng Amount / 2^n
ending amount = 50 / (2^(9/4))
ending amount = 50 / 2^2.25
ending amount = 50 / <span><span><span>4.75682846 </span>
</span></span><span><span>ending amount = </span> 10.5112 grams
</span>Looking at the graph, we see that's about right.
The formula that will show the remaining amount correctly is:
ending amount = Bgng Amount / 2^n
where "n" is the number of haf-lives.
So, for example if half life = 4 hours and if we want to calculate the amount after 9 hours (that's 2.25 half-lives) then:
ending amount = Bgng Amount / 2^n
ending amount = 50 / (2^(9/4))
ending amount = 50 / 2^2.25
ending amount = 50 / <span><span><span>4.75682846 </span>
</span></span><span><span>ending amount = </span> 10.5112 grams
</span>Looking at the graph, we see that's about right.