Answer:
b=7
Step-by-step explanation:
We want to determine the positive base b in which:

The easiest way to approach this is to convert all the numbers to base 10.


Next, we factorize the resulting expression.

The positive value of b for which the equality hold is 7.
Answer:362
Step-by-step explanation:
So, the ones digit is 2. Since the hundreds digit is one more, it's 3. And because the tens is twice the hundreds, it's 6. The number is 362
Answer:
D. If John owns a dog, then he owns a cat
Step-by-step explanation:
The implication p → q (if p, then q) has the same truth table as the logical expression ~p∨q. You have the expression ...
~(John owns a dog) ∨ (he owns a cat)
Matching parts of this expression to the components of the expression ~p∨q, we see we can choose ...
- p = John owns a dog
- q = he owns a cat
and put those into the structure of the implication: if p, then q.
If John owns a dog, then he owns a cat. . . . . matches choice D
Answer:
Step-by-step explanation:
(68+75+74+82+88+x)/6=70
(387+x)/6=70
x= 33