Answer: ![10, 31\ \text{years}](https://tex.z-dn.net/?f=10%2C%2031%5C%20%5Ctext%7Byears%7D)
Step-by-step explanation:
Given
The present age of Madison's Mother is three time that of Madison
Suppose the Present age of Madison is
, so age of her mother is ![3x](https://tex.z-dn.net/?f=3x)
After
, the sum of their age will be ![53\dfrac{3}{4}\ \text{years}](https://tex.z-dn.net/?f=53%5Cdfrac%7B3%7D%7B4%7D%5C%20%5Ctext%7Byears%7D)
![\therefore (x+6\dfrac{1}{4})+(3x+6\dfrac{1}{4})=53\dfrac{3}{4}\\\\\Rightarrow 4x+2\times \dfrac{25}{4}=\dfrac{53\times 4+3}{4}\\\\\Rightarrow 4x+\dfrac{50}{4}=\dfrac{215}{4}\\\\\Rightarrow 4x=\dfrac{215-50}{4}\\\\\Rightarrow x=\dfrac{165}{16}\\\\\Rightarrow x= 10.31\approx 10](https://tex.z-dn.net/?f=%5Ctherefore%20%28x%2B6%5Cdfrac%7B1%7D%7B4%7D%29%2B%283x%2B6%5Cdfrac%7B1%7D%7B4%7D%29%3D53%5Cdfrac%7B3%7D%7B4%7D%5C%5C%5C%5C%5CRightarrow%204x%2B2%5Ctimes%20%5Cdfrac%7B25%7D%7B4%7D%3D%5Cdfrac%7B53%5Ctimes%204%2B3%7D%7B4%7D%5C%5C%5C%5C%5CRightarrow%204x%2B%5Cdfrac%7B50%7D%7B4%7D%3D%5Cdfrac%7B215%7D%7B4%7D%5C%5C%5C%5C%5CRightarrow%204x%3D%5Cdfrac%7B215-50%7D%7B4%7D%5C%5C%5C%5C%5CRightarrow%20x%3D%5Cdfrac%7B165%7D%7B16%7D%5C%5C%5C%5C%5CRightarrow%20x%3D%2010.31%5Capprox%2010)
Madison mother's age ![3x=30.93\approx 31\ \text{years}](https://tex.z-dn.net/?f=3x%3D30.93%5Capprox%2031%5C%20%5Ctext%7Byears%7D)
Answer:
223
Step-by-step explanation:
find the area for each side.
Answer:
(0,4)
Step-by-step explanation:
Add 4 to x and add 2 to y.
Umm I don't really understand what your asking but the square root of 7 is 2.645751311064591
I hope I helped.. at least a little!
Answer: The voltage across an identical resistor = 60 Volts
Step-by-step explanation:
Step 1
Given that voltage across the resistor is directly proportional to the current running through the resitor.
Mathematically, it would be represented as
Voltage ∝ Current
Introducing the constant of proportionality, k which represents the Resistor as it is constant.
we have that
Voltage = K x Current
When current = 12 amps and voltage = 480v, the constant of proportionality K
480 = k x 12
k = 480/12
k= 40
Step 2 ,
when current = 1.5 amps
Voltage = ?
Using our equation that
Voltage = K x Current
Voltage = 40 x 1.5
Voltage = 60 Volts