Answer:
The answer is "
".
Step-by-step explanation:
Let assuming the following predicates:
![\to B(x,y)= \text{x barks at y} \\\\\to D (x)= \text{x is a dog} \\\\\to C (x)= \text{x is a cat} \\\\](https://tex.z-dn.net/?f=%5Cto%20B%28x%2Cy%29%3D%20%5Ctext%7Bx%20barks%20at%20y%7D%20%5C%5C%5C%5C%5Cto%20D%20%28x%29%3D%20%20%5Ctext%7Bx%20is%20a%20dog%7D%20%5C%5C%5C%5C%5Cto%20C%20%28x%29%3D%20%5Ctext%7Bx%20is%20a%20cat%7D%20%5C%5C%5C%5C)
In the given table it calculates the numbered sequence, which is given in the statement and calculates the other details, please find the attached file.
Premise P1 means whether dogs are shouting at cats.
Premise P2 means Maximum is a dog.
Premise P3 means that a cat is Moonbeam.
Unless the assumptions P1, P2, and P3 all are valid, otherwise the conclusion that Maximum starts barking at Moonbeam also is correct.
By both the law of deduction of Modus Ponens, statement 4 is the interpretation of states 1, 2, and 3. That conclusion can thus be conveyed as follows:
so, the final answer is "
"
Answer: the rate of the canoeist in calm water is 6 mph and the rate of the current is 4 mph
Step-by-step explanation:
Let x represent the rate of the canoeist in calm water.
Let y represent the rate of the current.
The canoeist travels 30 miles downstream in three hours.. Assuming that he travelled in the direction of the current, his total speed would be x + y mph
Distance = speed × time
Distance covered downstream is
30 = 3(x + y)
10 = x + y - - - - - - - - - - - -1
Against the current the return trip took fifteen hours..
His total speed would be x - y mph
Distance = speed × time
Distance covered on return trip is
30 = 15(x - y)
2 = x - y - - - - - - - - - - - -2
Adding equation 1 and equation 2, it becomes
12 = 2x
x = 12/2 = 6 mph
Substituting x = 6 into equation 1, it becomes
10 = 6 + y
y = 10 - 6 = 4 mph
First you have to put like terms together:
bf+af+be+ae
Now you factor the first two terms and then the two last terms:
f(b+a)+e(b+a)
Now you factor even further. By putting what is in parentheses by what is outside the parentheses:
(b+a)(f+e)
What you got is correct as mine is too. I hope this formula helps for future problems:
ax+bx+ac+bc=x(a+b)+c(a+b)
=(a+b)(x+c)
Step-by-step explanation:
EDHA I DONT LTHINK SOANSWER IT PROBLEM EASY
Answer:
The original number is 90.8
Step-by-step explanation:
we know that
![100\%+9\%=109\%=109/100=1.09](https://tex.z-dn.net/?f=100%5C%25%2B9%5C%25%3D109%5C%25%3D109%2F100%3D1.09)
Let
x -----> the original number
The original number multiplied by 1.09 must be equal to 99
so
![1.09x=99](https://tex.z-dn.net/?f=1.09x%3D99)
Solve the linear equation for x
Divide by 1.09 both sides
![x=99/1.09](https://tex.z-dn.net/?f=x%3D99%2F1.09)
![x=90.8](https://tex.z-dn.net/?f=x%3D90.8)