Answer:
Tom will run 9 miles in 12 minutes.
Step-by-step explanation:
Answer:
(0,3)
Step-by-step explanation:
7x-2y=-6
8x+y=3
Multiply the second equation by 2 so we can eliminate y
2(8x+2y) = 2*3
16x+2y=6
Add the first equation to the modified second equation
7x-2y=-6
16x+2y=6
--------------------
23x = 0
Divide by 23
23x/23 = 0/23
x =0
Now we need to find y
8x+y = 3
0+y =3
y=3
(0,3)
Answer:
44x +56y = 95
Step-by-step explanation:
To write the equation of the perpendicular bisector, we need to know the midpoint and we need to know the differences of the coordinates.
The midpoint is the average of the coordinate values:
((-2.5, -2) +(3, 5))/2 = (0.5, 3)/2 = (0.25, 1.5) = (h, k)
The differences of the coordinates are ...
(3, 5) -(-2.5, -2) = (3 -(-2.5), 5 -(-2)) = (5.5, 7) = (Δx, Δy)
Then the perpendicular bisector equation can be written ...
Δx(x -h) +Δy(y -k) = 0
5.5(x -0.25) +7(y -1.5) = 0
5.5x -1.375 +7y -10.5 = 0
Multiplying by 8 and subtracting the constant, we get ...
44x +56y = 95 . . . . equation of the perpendicular bisector
Answer: 35%
Step-by-step explanation:
20 bars
7 unshaded - not installed
7/20 = 0.35 = 35%
9514 1404 393
Answer:
(1) $150 million
(2) $276.14
Step-by-step explanation:
(1) The ratio 5 : 2 : 6 to shareholders : bonuses : development tells us that the fraction of profits to shareholders is ...
5/(5+2+6) = 5/13
The dollar amount to shareholders is then ...
(5/13)($390 million) = $150 million
__
(2) We have ...
$285.25 = (1 +3.3%) × (May price)
May price = $285.25/1.033 = $276.14