In a standard equation of dividing a two digit divisor one must follow these steps:
1. Double check if the first two digits of the dividend are equal or larger that the divisor. Start dividing if so.
2. Write the answer above the second digit (or third if the first two digits' value is smaller than the divisor).
3. Multiply the answer with the divisor and subtract it from the dividend (digits used).
4. From the answer to the subtraction, add the next digit to the right of the dividend and repeat process until you get the total quotient.
5. In cases of remainders (extra numbers not divisible by the divisor), write them to the right of the quotient.
Please see attached picture for reference.
Hope this helps.
Answer:
8x^2+64
Step-by-step explanation:
<span>18.49 trillion ft² is the answer</span>
It has to be 10,000
Since the first stays at 1,000 and the second goes to 9,000 so add them to gather and it’s 10,000
![\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}](https://tex.z-dn.net/?f=%5Clarge%7B%5Cunderline%7B%5Cunderline%7B%5Cpmb%7B%5Csf%7B%5Ccolor%7Byellow%7D%7BAnswer%3A%7D%7D%7D%7D%7D%7D)
Speed of Carmen = 40km/h
and speed of Carmella = 60km/h
Step-by-step explanation:
Let the speed of Carmen = x km/h
Carmella speed will be (x + 20)km/h
Distance = 120 km
Time between Carmen and Carmella = 1 hour
![\sf Time= \frac{distance}{speed}](https://tex.z-dn.net/?f=%20%5Csf%20Time%3D%20%20%5Cfrac%7Bdistance%7D%7Bspeed%7D%20)
Let the time taken by Carmen be T1
and Carmella be T2
![\sf So \: T_1 = \frac{120}{x} \: and \: T_2 = \frac{120}{x + 20}](https://tex.z-dn.net/?f=%20%5Csf%20So%20%5C%3A%20%20T_1%20%3D%20%20%5Cfrac%7B120%7D%7Bx%7D%20%20%5C%3A%20and%20%5C%3A%20T_2%20%3D%20%20%5Cfrac%7B120%7D%7Bx%20%2B%2020%7D%20)
As there is 1 hour difference so
![\sf T_2 - T_1 = \: 1 hour \\ \\ \\ \sf \implies \frac{120}{x } - \frac{120}{x + 20} = 1 \\ \\ \\ \sf \implies \frac{120(x + 20) - 120x}{x(x + 20)} = 1 \\ \\ \\ \sf \implies 120x + 2400 - 120x = {x}^{2} + 20x \\ \\ \\ \sf \implies 2400 = {x}^{2} + 20x \\ \\ \\ \sf \implies 0 = {x}^{2} + 20x - 2400 \\ \\ \\ \sf \implies 0 = {x}^{2} + 60x - 40x - 2400 \\ \\ \\ \sf \implies0 = x(x + 60) - 40(x + 60) \\ \\ \\ \sf \implies 0 = (x + 60)(x - 40) \\ \\ \\ \sf \implies \red{\boxed{x = 40km}}](https://tex.z-dn.net/?f=%20%5Csf%20T_2%20-%20%20%20T_1%20%20%3D%20%20%5C%3A%201%20hour%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%20%5Cimplies%20%20%5Cfrac%7B120%7D%7Bx%20%7D%20-%20%20%5Cfrac%7B120%7D%7Bx%20%20%2B%2020%7D%20%20%20%3D%201%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%20%5Cimplies%20%20%5Cfrac%7B120%28x%20%2B%2020%29%20-%20120x%7D%7Bx%28x%20%2B%2020%29%7D%20%20%3D%201%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%20%5Cimplies%20%20120x%20%2B%202400%20-%20120x%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%2020x%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%20%5Cimplies%202400%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%2020x%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%20%5Cimplies%200%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%2020x%20-%202400%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%20%5Cimplies%200%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%2060x%20-%2040x%20-%202400%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%5Cimplies0%20%3D%20%20x%28x%20%2B%2060%29%20-%2040%28x%20%2B%2060%29%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%20%5Cimplies%200%20%3D%20%28x%20%2B%2060%29%28x%20-%2040%29%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%20%5Cimplies%20%20%20%5Cred%7B%5Cboxed%7Bx%20%3D%2040km%7D%7D)
We have not considered 60 as it will become negative value and negative value is not possible in distance
Speed of Carmen = 40km/h
Speed of Carmella = 40 + 20 = 60km/h