Answer:
337.5
Step-by-step explanation:
50÷2 = 25
75÷2 = 25
13.5×25 = 337.5
Answer:
4 packages of AA batteries
6 packages of AAA batteries.
Step-by-step explanation:
Let the number of packages of AA batteries bought be x
Let
the number of packages of AAA batteries bought be Y
He Brought 10 packages of AA and AAA
thus,
x+y = 10 equation 1
Given
The AA batteries are sold in packages of 6, it means one packet contains 6 batteries
Thus,
Total number of AA batteries in x packages = 6x
The AAA batteries are sold in packages of 8, it means one packet contains 8 batteries
Thus,
Total number of AAA batteries in y packages = 8y
Given total no. of batteries is 72
thus
6x + 8y = 72 equation 2
x+y = 10
y = 10-x ---using this in equation 2
6x + 8(10 - x) = 72
=> 6x + 80 - 8x = 72
=> -2x = 72-80 = -8
=> x = -8/-2 = 4
y = 10 -x = 10 -4 = 6
y = 6
Thus,
he bought 4 packages of AA batteries
6 packages of AAA batteries.
Answer:
He will run 31.6 miles in two weeks.
Step-by-step explanation:
6 days a week = 2.3 miles
6 days · 2 weeks = 12 days total running 2.3 miles
1 day a week = 2 miles
1 day · 2 weeks = 2 days total running 2 miles
(12 · 2.3) + (2 · 2)
27.6 + 4
31.6 miles
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.
