Answer:
1) If Sam is an expert sailor then she will be allowed on Signe's racing boat.
2) If Sam is not allowed on Signe's racing boat, then she is not an expert sailor.
Step-by-step explanation:
- The contrapositive statement of if P → Q is if ~Q→~P.
In this case we have: If Sam is an expert sailor then she will be allowed on Signe's racing boat.
P = Sam is an expert sailor
Q = Sam will be allowed on Signe's racing boat.
To write the contrapositive statement we're going to say if ~Q→ ~P
If Sam is not allowed on Signe's racing boat, then she is not an expert sailor.
Answer:
7x2
Step-by-step explanation:
7x2 is 14 and all the other ones equal 7
Answer:
No student liked only Nokia
Step-by-step explanation:
The information can be illustrated as shown on the Venn diagram.
The number of students who liked only Nokia is x.
The sum of all regions in the Venn diagram should be 40.
We add all to get:
Therefore no one liked only Nokia
Answer:
Step-by-step explanation:
The equation is y=3/5x-2, attached is the graph
To solve these problems, we must remember the distributive property. This property states that a coefficient being multiplied by a polynomial in parentheses is equal to the sum of the coefficient times each of the separate terms. Using this knowledge, let's begin with number 21:
-(4x + 17) + 3(7-x)
To begin, we should distribute the negative sign through the first set of parentheses and the coefficient of positive 3 through the second set of parentheses.
-4x - 17 + 21 - 3x
Next, we must combine like terms, or add/subtract the constants terms and the variable terms in order to create a more concise expression.
-7x + 4 (your answer)
Now, we can move on to question 22 and solve it in a similar manner:
7(2n-8) - 4(12 - 8n)
Again, we will distribute the coefficients through the parentheses. However, keep in mind that the coefficient in front of the second set of parentheses is actually a NEGATIVE 4, so we must distribute the negative as well.
14n - 56 - 48 + 32n
Next, we will combine like terms (add the n terms together and subtract the constant terms).
46n - 104
Now, we can solve problem 23:
8 + 2(5f - 3)
We will again distribute through the parentheses:
8 + 10f - 6
Combine like terms after that:
10f + 2
Therefore, your answers for the three problems are as follows:
21) -7x + 4
22) 46n - 104
23) 10f + 2
Hope this helps!
