To get the *percent increase* from week 1 to week 2, we calculate the change in distance from week 1 to week 2 (13.5 - 12.5 = 1 mile) over the week 1 distance (12.5 miles). Doing that, we find that Matthew increased his distance by
1/12.5 = 0.08, or 8%
We’re given that he’ll increase his distance by the same percentage from week 2 to 3, so to find his week 3 distance, we can find 8% of the week 2 distance and add that on. 8% of 13.5 miles is 0.08 x 13.5 = 1.08 miles, so by week 3, he’ll be running 13.5 + 1.08 = 14.58 miles.
Answer:
f⁻¹(x) = (1/2)x +5
Step-by-step explanation:
In y = f(x), swap the variables, then solve for y. The expression you get is f⁻¹(x).
... y = 2x -10
... x = 2y -10 . . . . . . swapped variables
... x +10 = 2y . . . . . add 10
... (1/2)x + 5 = y . . . . divide by 2
... f⁻¹(x) = (1/2)x + 5 . . . . . . rewrite using function notation
Answer:
PQ = 3.2
Step-by-step explanation:
PQ = PR - QR
PQ = 4.8 - 1.6
PQ = 3.2
Answer:
Using distribute property
0.5(8a)(a) + 0.5(6b)(a) + 4b
4a^2 + 3ab + 4b
Step-by-step explanation:
Answer:
D.) 7
Step-by-step explanation:
To calculate the check digit, multiply every even-position digit (when counted from the right) in the number by two. If the result is a two digit number, then add these digits together to make a single digit (this is called the digital root):
Odd numbers: (1.)= 8 (3.)= 4 (5.)= 6 (7.)= 0 (9.)= 4 (11.)= 6 (13.)= 2 (15.)=(1 + 6)= 7
Even numbers: (2.)= 3 (4.)= 8 (6.)= 1 (8.)= 3 (10.)= 6 (12.)=5 (14.)=0
To this total, we then add every odd-position digit:
Odd = 37
Even = 26
This will result in a total:
37 + 26 = 63
The check-digit is what number needs to be added to this total to make the next multiple of 10:
Next multiple of 10 is 70.
70 - 63 = 7
Answer:
7
Hope this helps : D
