Answer:
Melanie.
Step-by-step explanation:
The possible ways of getting a 6 are (3,3), (2,4), (4,2), (1,5) and (5,1).
That is 5 ways.
The possible ways of getting a 7 are (1,6), (6,1), (5,2),( 2,5), (3, 4), (4,3).
That is 6 ways.
So Melanie made the better decision.
Answer:
There are 8 pints in a gallon.
128 pints of OJ were drunk.
This is a problem of logic. So we need to identify what the conditional statement means. In logic, there are several operators, one of them is the conditional operator. <span>As the name implies, the conditional operator creates a compound statement that sets up a condition for something to be true. If the condition is met, the statement is true.
<u>Symbol:</u> </span>→
<u>Parts of Conditional:</u> Two simple statements joined by the conditional symbol. The first simple statement in a conditional is called the antecedent and the second simple statement is called the consequent<span>.
</span>So let's analyze each case:<span>
Case 1. </span><span>Analyze the conditional statement and complete the instructions that follow.
</span><u>Statement:</u><em> You will receive the trophy if you win the championship match.</em>
We can rewrite this in a standard form of the conditional operator, that is:
A→B: If you win the championship match then you will receive the trophy
A: You win the championship match
B: You will receive the trophy
<u>Hypothesis:</u> You win the championship match
<u>Conclusion:</u> You will receive the trophy
Case 2.
According to the problem we have:
<u>Hypothesis:</u> You will receive the trophy.
<u>Conclusion:</u> Y<span>ou win the championship match
</span>
A: You will receive the trophy.
B: You win the championship match
We can rewrite this in an standard form of the conditional statement, that is:
A→B: If you will receive the trophy then you win the championship match
Case 3.
According to the problem we have:
<span><u>Hypothesis:</u> You do not win the championship match.
<u>Conclusion:</u> You will not receive the trophy
</span>
A: You do not win the championship match.
B: You will not receive the trophy
We can write this in a conditional statement:
A→B: If you do not win the championship match then you will not receive the trophy
Case 4.
According to the problem we have:
<span><u>Hypothesis: You win the championship match</u>
<u>Conclusion:</u> You will receive the trophy
</span>
We can rewrite this in a conditional statement:
A: You win the championship match
B: You will receive the trophy
We can write this in a conditional statement:
A→B: If you win the championship match then you will receive the trophy
Case 5.
According to the problem we have:
<u>Hypothesis:</u> Y<span>ou will not receive the trophy
</span><u>Conclusion:</u> <span>you do not win the championship match
</span>
A: You will not receive the trophy
B: You do not win the championship match
We can write this in a conditional statement:
A→B: If you will not receive the trophy then you do not win the championship match.
It equal -45x + 62x so their u go
Answer:
x = 1
y = -4
Step-by-step explanation:
y = -x - 3
y + 3 = -x
x = - y - 3
y = -7(-y - 3) + 3
y = 7y + 21 + 3
y = 7y + 24
-6y = 24
y = -4
-4 = -x - 3
-1 = -x
x = 1