Pam bought 50 kg of sugar. She used 10 kg of sugar. What percentage of sugar was left? (step by step answer would be appreciated
2 answers:
Answer:
80% of sugar left.
Step-by-step explanation:
If we start of with 50 kg of sugar and we take away 10 kg of sugar, we are left with kg of sugar.
To find the percentage of sugar left, we divide the decreased number by the original number.
If we have a decimal and want to convert it to a percentage, we multiply it by 100.
So, 80% of the sugar is left.
Hope this helped!
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a. Remaining amount after t minutes = 45 *
b. 0.010986 mg
c. 109.84 minutes
Step-by-step explanation:
Step 1:
The decay of the substance is exponential. It is given that half life is 20 minutes and initially we start with 45 mg. So in 20 minutes we will have remaining amount 45/2, in 40 minutes remaining amount will be 45/4 etc.
This can be modeled by the equation:
Remaining amount after t minutes = Original amount *
where represents the half life.
The half life for this substance is 20 minutes.
Hence the Remaining amount after t minutes = 45 *
Step 2:
We need to calculate the amount remaining after 4 hours (240 minutes).
Substituting t = 240 in above equation we get
Amount remaining after 4 hours = 45 * = 0.010986 mg
Step 3:
We need to calculate the time taken when 1 milligram is left. Substituting in the equation we get
1 = 45 *
Taking log on both sides we get
t = = 109.84 minutes
Time taken for 1 mg of the substance to be left = 109.84 minutes
Step 4 :
Answer :
a. Remaining amount after t minutes = 45 *
b. 0.010986 mg
c. 109.84 minutes