Answer:
C
Step-by-step explanation:
Answer: 61 boys Bc 5 is more of 4 so if there’s 60 girls it’s 61 boys, simple enough
Solve this equation: $45 - ($2.75/pen)x = $12. Simplifying, we get
$33 = ($2.75)x, so that
x = $33 / ($2.75) = 12.
Tim's buying 12 pens leaves him with $12.
Answer:
x ∈ (-∞, -1) ∪ (1, ∞)
Step-by-step explanation:
To solve this problem we must factor the expression that is shown in the denominator of the inequality.
So, we have:
So the roots are:
Therefore we can write the expression in the following way:
Now the expression is as follows:
Now we use the study of signs to solve this inequality.
We have 3 roots for the polynomials that make up the expression:
We know that the first two are not allowed because they make the denominator zero.
Observe the attached image.
Note that:
when 
when 
and
is always 
Finally after the study of signs we can reach the conclusion that:
x ∈ (-∞, -1) ∪ (1, 2] ∪ [2, ∞)
This is the same as
x ∈ (-∞, -1) ∪ (1, ∞)
Answer:
The measure of angle s is 22°
Step-by-step explanation:
Given:
- Horizontal lines A and B are parallel and are intersecting because a line is going through the both of them.
- Top right angle of line A is labeled to be 158°, while the top left angle in line B is labeled S° indicating this variable is the missing degrees.
To find:
- The angle of S, in degrees.
∠1 and 158° are both on a straight line and supplementary.
(Supplementary angles are those angles that sum up to 180 degrees. )
So solving,
⇒ ∠1=180°-158°=22° ....> Angles ∠1 and S are interior angles
Due to lines A and B being parallel, all interior lines are equal.
As a result, the answer is therefore 22°.
