Solution:
<u>Step-1: Subtract 4.3 both sides.</u>
- x/5 + 4.3 = 12.4
- => x/5 + 4.3 - 4.3 = 12.4 - 4.3
- => x/5 = 8.1
<u>Step-2: Use cross multiplication to find x.</u>
- x/5 = 8.1
- => x = 8.1 x 5
- => x = 40.5
Hence, the value of x is 40.5.
First you need to know the formula of the Resistance(R) of a conductor, which is:
-- (A)
Where,
R = Resistance of the wire = ?
K = Specific resistance of the wire(In this case Aluminum at 68°F) = 17.02 ohm-circular-mil-foot
L = Length of the wire(in feet)
CM = Circular mil Area(In inches)
Now in order to use the above formula(A), we have to first convert TWO quantities:
1) The length of the wire(from miles to feet)
2) Mils to Circular mil Area
1.
The length of the wire given = 2 miles
The length of the wire(In feet) = 10560 ft
2.
Since the mils given = 100 mils.
Therefore,
Circular mils(Circular mil Area) = mils x mils = 100 x 100 = 10000
Now plug-in the values in equation(A):
A=> R =
R = 17.97 ohms
Ans: Resistance of the aluminum wire = 17.97 ohms.-i
Moving to the right and up, the only two points that could be placed in another point would be C or B
The answer would be 6. point C could be the image of E
The salon charges $12 for manicure and $23 for pedicure.
Step-by-step explanation:
Let,
x be the charges for each manicure.
y be the charges for each pedicure.
According to given statement;
16x+37y=1043 Eqn 1
47x+36y=1392 Eqn 2
Multiplying Eqn 1 by 47
Multiplying Eqn 2 by 16
Subtracting Eqn 4 from Eqn 3
Dividing both sides by 1163
Putting y=23 in Eqn 1
Dividing both sides by 16
The salon charges $12 for manicure and $23 for pedicure.
Keywords: linear equation, elimination method
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