The algebraic equation used to answer this question is:
3d + 4(1/2d) = 56.5
This is because he ran d, the distance, three times that week. For the rest of the four days, he ran 1/2 the distance, or half d.
To find the answer, you first distribute:
3d + 2d = 56.5
Add like terms:
5d = 56.5
Divide both side by 5:
5d/5 = 56.5/5
d = 11.3
On the first three days, Luke jogged 11.3 miles. On the remaining days, where he jogged 1/2d, Luke jogged 5.65 miles.
Hope this helps!
1/9 I think. because the first answer I get is 2/18 which then made I smaller to 1/9 and that was the simplest from I got.
Answer:
0.8632
0.8696
Step-by-step explanation:
Your answer is accurate, but it's not the most precise option.
f(x) is decreasing and concave up on the interval. Therefore, trapezoidal rule will give us an area greater than the actual area, but closer than left-hand rule.
If f(x) were a straight line, then midpoint rule would give us the same area as trapezoidal rule. However, since f(x) is concave up, the midpoint is less than the average of the endpoints. So midpoint rule will give us an area less than the actual area, but closer than right-hand rule.