The key is Esther travelled the same distance - x - in both her morning and evening commute.
45(time she took in the morning, or p) = x
30(time she took in the evening, or q) = x
Therefore 45(p) = 30(q), or divide both sides by 5 and get 9(p) = 6(q). I know you can divide it further, but these numbers are small enough and it's not worth the time.
Since the whole trip took an hour, (p + q) = 60min, and so, p = 60-q.
Therefore 9(60-q) = 6q or 540-9q = 6q. So 540 = 15q, which makes q = 36. If q = 36, then by (p+q)=60, p (the time she took in the morning) must equal 24.
45 miles per hour, her speed in the morning, times (24/60) hours, her time, makes 18 miles travelled in the morning. If you check, 30 miles per hour times (36/60) hours also makes 18 miles in the evening.
<span>Hope that makes a little sense. And I also hope it's right</span>
Answer: B.98
Step-by-step explanation:
all you have to do is divide 1,176 by 12.
We have to calculate how much money has to be invested at 2.3% interest compounded continuously to achieve $41,000 after 17 years. The formula is: A = P * ( 1 + r )^t, where A = $41,000, r = 0.023 and t = 17. 41,000 = P * ( 1 + 0.023 ) ^17; 41,000 = P * ( 1.023 )^17; 41,000 = P * 1.4719; P = 41,000 : 1.4719; P = 27,855.15. Answer: It has to be invested <span>$27,855. </span>
The situation above described that Jeff added two - thirds of 128 to the flour. The numerical value of (2/3)(128) is 85.33 grams. The recipe says to add only 32 grams of vanilla powder. Hence, Jeff went over the prescribed amount.
To determine the excess amount, subtract 32 from 85.33 which has a numerical value of 53.33 grams.
Answer:
Step-by-step explanation:
= 1,521
