Answer:
32 days
Step-by-step explanation:
Assume that the jar is full initially, containing 24 oz. After how many withdrawals of 3/4 oz will the jar be empty?
24 - (3/4)n = 0, or
24 = (3/4)n, or 96 = 3n. Dividing both sides by 3, we get n = 32.
The jar will be empty after 32 days.
Answer:
I'll answer the first one. Neither vehicles are crossing the speed limit since both are under 40mph.
Step-by-step explanation:
6 miles every 10 minutes = 36 miles every hour.
15 miles every 25 minutes = 36 miles every hour.
Speed limit = 40 mph
Neither vehicles are crossing the speed limit since both are under 40mph.
Hope this helped! :))
Answer:
It would be 5.
Step-by-step explanation:
Hope this help!
First, you have to find the equation of the perpendicular bisector of this given line.
to do that, you need the slope of the perpendicular line and one point.
Step 1: find the slope of the given line segment. We have the two end points (10, 15) and (-20, 5), so the slope is m=(15-5)/(10-(-20))=1/3
the slope of the perpendicular line is the negative reciprocal of the slope of the given line, m=-3/1=-3
step 2: find the middle point: x=(-20+10)/2=-5, y=(15+5)/2=10 (-5, 10)
so the equation of the perpendicular line in point-slope form is (y-10)=-3(x+5)
now plug in all the given coordinates to the equation to see which pair fits:
(-8, 19): 19-10=9, -3(-8+5)=9, so yes, (-8, 19) is on the perpendicular line.
try the other pairs, you will find that (1,-8) and (-5, 10) fit the equation too. (-5,10) happens to be the midpoint.
Answer:
<h2>
y = 6x - 1</h2>
Step-by-step explanation:
(0, -1) ⇒ x₁ = 0, y₁ = -1
(1, 5) ⇒ x₂ = 1, y₂ = 5
So the slope:
The slope-intercept form of the equation of line is y = mx + b, where m is the slope and b is the y-intercept of the line.
(0, -1) ⇒ x₀ = 0, y₀ = -1 ⇒ b = -1
Therefore:
y = 6x - 1 ← the slope-intercept form of the equation
