The first part of the second line, she left the -5 there. The correct work and solution should be this:
5(2x-1)-3x=5x+9
<span><span>7x</span>−5</span>=<span><span>5x</span>+<span>9
</span></span>2x-5=9
2x=14
x=7
Answer:
The hypothesis of the conditional is "<em>A number is odd</em>".
Step-by-step explanation:
The statement can be represented by the following proposition:
(Eq. 1)
Where:
is the hypothesis of the proposition.
is the conclusion of the proposition.
- Binary connector, which means "If...., then...."
In this case, we present what each propostion represents:
P = A number is odd.
Q = It has a remainder of 1 when divided by 2.
In consequence, the hypothesis of the conditional is "<em>A number is odd</em>".
Answer:

Step-by-step explanation:
Given: 
Formula: 








Answer:
2 students study none of the subjects.
Step-by-step explanation:
Consider the attached venn diagram. First, we place that 1 student studies the three subjects. Then, we notice that 3 students study math and science, then 2 students study math and science only, since we have 1 that studies the three subjects. In the same fashion, we have that 3 students study Math and computer programming only (since they are 4 in total). Note that since 7 students study math, and we already have 6 students in our count in the math subject this implies that 1 student studies only math (the total number of students inside the math circle must add to 7).
We also have that 4 students study science and computer programming only. Which implies that we must have 3 students that study science only (10 students that study science in total) and 2 students study computer programming (for a total of 10 students). The total number of students that study none is the total number of students (18) minus the amount of students that is inside the circles (16) which is 2.