53.70 - 9.60 = 44.10. 44.10 / 2 = 22.05. Each friend paid (not including the tip) $22.05.
1)We need to know the amount of yellow tint in the old mixture.
amount of yellow tint=30% of 40 liters
30%=30/100=0.3
Amount of yellow tint=0.3(40 liters)=12 liters.
2)We need to find the amount of yellow tint in the new mixture.
amount of yellow tint in the new mixture=12 liters + 9 liters=21 liters.
3) we calculate the amount of the new mixture:
amount of new mixture=40 liters + 9 liters=49 liters
4) we compute the percent of yellow tint in the new mixture:
percent of yellow tint =(amount of yellow tint / amount of mixture)*100
percent of yellow tint=(21 liters / 49 liters)100≈42.9%
Answer: The percent of yellow tint in the new mixture is 42.9%.
note: if this answer is not correct you can try it with 42.8%
Answer:
Step-by-step explanation:
Total marble = 8+5+4 = 19
n(Y) = 8, n(B) = 4 and n(R) = 5
Prob(R) = 5/17
Prob(B) = 4/16 {one marble is pulled out already}
Prob(R and B) = 5/17 × 4/16
= 5/17 × 1/4
= 5/68
The correct answer for the exercise shown above, is the first option (Option A), which is:
A. <span>(1+1/18)^18
The explanation is shown below:
1- You have that the number e is an irrational number, therefore, its value is aproximated:
e=2.7182
2- You have the following expressions:
</span>(1+1/18)^18=2.6464
<span>(1+1/17)^17=2.6424
</span><span>(1+1/16)^16=2.6379
</span><span>(1+1/15)^15=2.6328
Therefore the value of the expression that is closest to e is the Option A.</span>