The answer is 14 because 14×14=196
Answer:
To figure out the common denominator for these fractions, I'll first need to factor that quadratic in the denominator on the right-hand side of the rational equation. This will also allow me to find the disallowed values for this equation. Factoring gives me:
x2 – 6x + 8 = (x – 4)(x – 2)
The factors of the quadratic on the right-hand side "just so happen" to be duplicates of the other denominators. This often happens in these exercises. (So often, in fact, that if you get completely different factors, you should probably go back and check your work.)
Step-by-step explanation:
Answer: 
Step-by-step explanation:
Given: A tourist first walked 17km with a speed of v km/h.
Since 
therefore, 
Let 
be the time he walked with speed v.
then 
Also he hiked 12 km uphill with the speed that was 2 km/hour less than his original speed.
Let 
be the time he hiked 12 km,
Then 
The total time for the whole trip is given by:-
Substitute the values of and in the equation, we get
To check which of the quotients is correct, multiply 43 times 20 and add the remainder. The result must be equal to 876.
First, notice that 20 times 43 equals 860.
A)
The remainder is 17. 860 + 17 = 877, which is not equal to 876.
B)
The remainder is 16. 860 + 16 = 876, which is equal to 876.
C)
The remander is 7. 860 + 7 = 867, which is not equal to 876.
D)
The remainder is 6. 860 + 6 = 866, which is not equal to 876.
Since 20*43 + 16 = 876, then the correct quotient is shown in option B:
876 ÷ 43 = 20 r 16
