63 is the correct answer lad
Answer:
The total resistance of these three resistors connected in parallel is 
Step-by-step explanation:
The attached image has the circuit for finding the total resistance. The circuit is composed by a voltage source and three resistors connected in parallel:
,
and
.
<u>First step: to find the source current</u>
The current that the source provides is the sum of the current that each resistor consumes. Keep in mind that the voltage is the same for the three resistors (
,
and
).



The total current is:


The total resistance (
) is the source voltage divided by the source current:

Now, replace
by the previous expression and the total resistance would be:

Simplify the expression and you must get:

The last step is to replace the values of the resistors:

Thus, the total resistance of these three resistors connected in parallel is 
Following the setps we have that
![\begin{gathered} n\cdot n=64 \\ n^2=64 \\ n=\sqrt[]{64}=8 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20n%5Ccdot%20n%3D64%20%5C%5C%20n%5E2%3D64%20%5C%5C%20n%3D%5Csqrt%5B%5D%7B64%7D%3D8%20%5Cend%7Bgathered%7D)
the lengths of the sides of the original square is 8 inches each one. Now we are going to find the lengths of the sides of the new square following the step 2

the lengths of the sides of new square is 12 inches each one.
Answer:
C(x) = 7.5k + 2400 is the expense equation.
Step-by-step explanation:
The fixed cost per month = $2,400
Cost of producing each shoe = $7.5
Here, let k be the number of shoes produced per month .
So, the monthly expense
= Fixed Cost + (Number of shoes produced per month x Cost per shoe)
or, C(x) = $2,400 + ( k x $7.5)
or, C(x) = 7.5k + 2400 is the expense equation.
Answer:
Step-by-step explanation:
What we know is that A + S = 111. That is, the miles Andre drove plus the miles Scott drove totalled 111 miles. What we also know is that Scott drove quite a bit more than Andre did. Scott drove 7 miles more that ( +7 ) 3 times the number of miles Andrea drove. That looks like this algebraically:
S = 3A + 7
Now we can sub in that value for S to the original equation:
If A + S = 111 and S = 3A + 7, then
A + 3A + 7 = 111 and
4A + 7 = 111 and
4A = 104 so
A = 26 and
S = 3(26) + 7 so
S = 85 miles.
Scott drove 85 miles.