Answer:
1080hrs
Step-by-step explanation:
days cancel, redefine week as =5days
weeks cancel redefine 4 weeks = 1 month
months cancel, redefine 9months= 1years
1080hrs per year (if I mathed 120x9 correctly that is, I didn't use a calculator so please double check that 120x9=1080)
Answer:
y=mx+b
y=0x+9
y=9
Step-by-step explanation:
Answer:
3800
Step-by-step explanation:
Variables:
O - Original cost
N - New cost
c - change factor
Step 1:
Recognize that if something decreases by 19%, it is worth 19% <em>less</em>
This means that the new price, fractionally, is 100% - 19% = 81%
So we can use c as 0.81 (81/100)
Step 2:
Write an equation to represent what is happening
N = O * c
Step 3:
Sub in what we know
3078 = O * 0.81
Step 4:
Rearange and solve
O = 3078 / 0.81 = 3800
Answer:
A. The situation is discrete B. i. { x : 0 ≤ x ≤ 6; x ∈ Z} ii. { C = 5x : 0 ≤ C ≤ 30; C ∈ Z}
Step-by-step explanation:
A. The situation is discrete since we have integral values for the amount paid per mile walked. The amount per mile is $5 and is only paid if a complete mile is walked. So, it is a discrete situation.
B. i. Since 0 miles represents 0 distance and the student walks a maximum of 6 miles, let x represent the distance walked. So the domain is 0 ≤ x ≤ 6 where x ∈ Z where Z represent integers.
{ x : 0 ≤ x ≤ 6; x ∈ Z}
ii. Since at 0 miles the amount earned is 0 miles × $5 per mile = $ 0 and at the maximum distance of 6 miles, the amount earned is 6 miles × $5 per mile = $ 30, let C represent the amount donated in dollars. So the range is 0 ≤ C ≤ $ 30 where C = 5x.
{ C = 5x : 0 ≤ C ≤ 30; C ∈ Z}
