Answer:
60 barrels
Step-by-step explanation:
y = # of barrels; x = minutes
worker: y = 12x
old line: y = 2x + 50
12x = 2x + 50
10x = 50
x = 5
y = 12(5) = 60
y = 2(5) + 50 = 60
60 barrels
(167.64 cm) · (1 inch / 2.54 cm)
= (167.64 · 1 / 2.54) inches
= 66.0 inches
Answer:
5/100 = 0.056 sales tax
$12+$26+$125 = $163 total purchase without tax
163*0.056 = 9.128 tax based on how much she bought
$163 + 9.128 = $172.128 total amount she paid (b)
Answer:

Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form:
where <em>m</em> is the slope and <em>b</em> is the y-intercept.
Perpendicular lines always have slopes that are negative reciprocals (ex. 1/2 and -2, 3/4 and -4/3)
<u>Determine the slope (</u><em><u>m</u></em><u>):</u>

Rearrange into slope-intercept form:

Now, we can identify clearly that the slope is -2. Because perpendicular lines always have slopes that are negative reciprocals, a perpendicular line would have a slope of
. Plug this into
:

<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>

Plug in the given point (1,3) and solve for <em>b</em>:

Therefore, the y-intercept is
. Plug this back into
:

I hope this helps!