Answer:
50.031 watts
Step-by-step explanation:
Formula
Power = Force * distance / time
The units are critical
distance = meters
time = seconds
force = newtons = kg * m / s^2
Solution
F = m * a
a = 9.81
m = 102 kg
F = 102 * 9.81 = 1000.62 Newtons
T = minute = 60 sec/min * 1 min
T = 60 seconds
d = 3 meters
Power = 1000.62 * 3 / 60
Power = 50.031
2x + 8y = 17
10x + 3y = 11
We need to solve the system of equations.
x = pencils
y = notebooks
If we solve by graphing, we get the answer:
One pencil costs 0.50 dollars
One notebook costs 2.00 dollars
Answer:
(5, - 6 )
Step-by-step explanation:
Given the 2 equations
- 8x - 10y = 20 → (1)
- 8x - 6y = - 4 → (2)
Multiply (2) by - 1
8x + 6y = 4 → (3)
Add (1) and (3) term by term to eliminate the x- term, that is
- 4y = 24 ( divide both sides by - 4 )
y = - 6
Substitute y = - 6 into either of the 2 equations and solve for x
Substituting into (1)
- 8x - 10(- 6) = 20
- 8x + 60 = 20 ( subtract 60 from both sides )
- 8x = - 40 ( divide both sides by - 8 )
x = 5
solution is (5, - 6 )
Answer:
a = (d-c)/b
Step-by-step explanation:
We know that
<span>124 7/8 gallons of water drained from a pool in 25 minutes
124 7/8 gallons------> (124*8+7)/8-----> 999/8 gallons----> 124.875 gallons
by proportion
124.875 gallons/25 minutes=x gallons/1 minute
x=124.875/25-----> x=4.995 gallons/minute
round to the nearest gallon------> 5 gallons/minute
the answer is
5 gallons/minute
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