Hello :D
Answer:
A. 
Step-by-step explanation:
First, you add by 14 both sides of an equation.
-14-5y+14>-64+14
Then, simplify by equation.
-64+14=-50
-5y>-50
Multiply -1 both sides.
(-5y)(-1)<(-50)(-1)
5y<50
Divide by 5 both sides of an equation.
5y/5<50/5
Divide numbers from left to right.
50/5=10
y<10 is the correct answer.
Hope this helps you! :D
Answer:
Step-by-step explanation:
Our inequality is |125-u| ≤ 30. Let's separate this into two. Assuming that (125-u) is positive, we have 125-u ≤ 30, and if we assume that it's negative, we'd have -(125-u)≤30, or u-125≤30.
Therefore, we now have two inequalities to solve for:
125-u ≤ 30
u-125≤30
For the first one, we can subtract 125 and add u to both sides, resulting in
0 ≤ u-95, or 95≤u. Therefore, that is our first inequality.
The second one can be figured out by adding 125 to both sides, so u ≤ 155.
Remember that we took these two inequalities from an absolute value -- as a result, they BOTH must be true in order for the original inequality to be true. Therefore,
u ≥ 95
and
u ≤ 155
combine to be
95 ≤ u ≤ 155, or the 4th option
<span>Common numbers for 15 18 and 12: 1 and 3</span>
Answer:
x= (y+40)-(y-330)
Step-by-step explanation:
According to the information provided, the difference in their scores would be the result of subtracting Austin's SAT score from Alexandra's SAT score.
Then, as Alexandra's SAT score was 40 points above the average score this means that you have to add 40 to the average score to get her result. Also, as Austin's SAT score was 330 points below the average score, this means that you have to subtract 330 from the average score. With this you can write the expression:
x= difference in their scores
y= average score
x= (y+40)-(y-330)
Answer:
A = 50°
B = 60°
C = 70°
Step-by-step explanation:
If we draw a line from each vertex through the center of the circle, we perpendicularly bisect the line joining the adjacent tangent points.
We then know the original angle is halved and the remaining angle of each right triangle is complementary to half the original.
Now we can subtract the known angles along each line of the original side to find the remaining angle
