Jack drove the fastest with 31.25 miles and that rounded to the nearest whole number is 31.
Lets start this by seeing what Rose has done:
first she borrows $5, then she borrows another $11. she then pays back $3.50 of the $5 and $9.50 of the $11.
knowing this, we can use a number line to help solve this problem. first, we would make a mark at 5 on your number line, then go up the number line 11 more times until you reach 16. once youre at 16, you need to jump backwards down the number line 3 1/2 spots. this would leave you at 13 1/2, which would leave a dot halfway in between 13 and 14. now, you need to back 9 1/2 more spots so you can see how much she owes to her brother and father. if youre at 13 1/2 on your number line, and go back, or subtract, 9 1/2 spots you end up 4. this means that Rose owes $4 still. if you do not understand this process, i will include a picture below of my number line and you can follow along to the steps written above on the number line.
let me know if you have any other questions
:)
Answer:
40
Step-by-step explanation: Total distance = 60 miles
Total time = 30 / 30 + 30/60 = 3/2
Avg. speed = 40.
Explanation:
Differentiating the solution, we have ...
y' = c1 +8c2x^7
y'' = 56c2x^6
Putting this into the DE, we have ...
x^2y'' -8xy' +8y = 16 . . . . . . . different from your problem statement
x^2(56c2x^6) -8x(c1 +8c2x^7) +8(c1x +c2x^8 +2) = 16
56c2x^8 -8c1x -64c2x^8 +8c1x +8c2x^8 +16 = 16
x^8(56c2 -64c2 +8c2) +x(-8c1 +8c1) +16 = 16
0 +16 = 16 . . . . QED
