Answer:
See below.
Step-by-step explanation:
4x + 3y < 12
-x + 3y < -3
First find where the 2 lines intersect
4x + 3y = 12
-x + 3y = -3
Subtract :
5x = 15
x = 3
and y = -3 + 3 / 3 = 0
So they intersect at the point (3,0).
Therefore there are many ordered pairs below these 2 lines that satisfy this inequality.
Answer:
A) $5900
Step-by-step explanation:
For company X, we have 2% on the first $2000 sales
= (2/100) * 2000
= $40 commission
The remainder = $5000 - $2000
= $3000
For the remainder $3000, we have a commission of 15%
= (15/100)*3000
= $450
The total sales of company X = 450 + 40
= $490
For Y, we have 5% in the first $2000 sale
= (5/100) * 2000
= $100 commission
After the remaining $3000, the commission = 490 - 100
= $390(which is 10% above $2000 sales)
If $390 is 10%, then 100% = $3900
Total sales will be $2000 + $3900
= $5900(A)
Answer:
You will pay $65.88 in total
Step-by-step explanation:
Bill amount: $54
Tip: 22% = $54 * 0.22 = $11.88
Sum up: $54 + $11.88 = $65.88
Answer:
y=9
Step-by-step explanation:
-2y + 6 = -12
-2y - 6 = -6
-2y = -18
-2/y= -18/-2
y= 9
Answer:
9005.90 m
Step-by-step explanation:
The radius of the collider is half the diameter or 2150 m. The arc length S subtended by the angle is given by
S = r×(theta) where theta is the angle in radians. We need to convert the degree angle into radian angle using the following:
240° × (2pi/360°) = 4.19 radians
Therefore, the distance traveled by the atoms is so equal to the arc length S so
S = (2150 m)×(4.19 rad) = 9005.90 m
