X = low-energy lamp
y = high-energy lamp
1) 4x + 5y
2) 120= 4x + 5y
Answer:
- x-intercept (12.5, 0)
- y-intercept (0, -5)
Step-by-step explanation:
The slope of the line is ...
... (change in y)/(change in x) = (-3 -(-5))/(5 - 0) = 2/5
The y-intercept is given: (0, -5).
The slope-intercept form of the equation can be written from this information as ...
... y = (2/5)x - 5
Solving this for y=0 (to find the x-intercept), we have
... 0 = (2/5)x - 5
... 5 = (2/5)x
... 5·(5/2) = x = 12.5
So, the x-intercept is 12.5, and the y-intercept (given) is -5.
Answer:
25 different outfits
Step-by-step explanation:
Multiply the number of each choice together to get the total combinations
(5)(5)(1) = 25
<span>You run 0.5 miles every 3 minutes => 1 mile every 6 minutes.
Your friend runs 2 miles every 14 minutes => 1 mile every 7 minutes.
You run a whole number of miles every number of minutes that is a multiple of 6.
Your freind runs a whole number of miles every number of minutes that is a multiple of 7
Then the least possible number of miles that you both run to end at the same time is the least common factor of 7 and 6 minutes.
This is 7 * 6 = 42 minutes.
You will have run 42 min / (6 miles/min) = 7 miles, and your friend will have run 42 min / (7 miles/min) = 6 miles.</span>