Her error was that she misplaced the numbers
-30x ≥ -300
its supose
to be -30x ≥ 200

Since this can't happen, let's suppose that P=150, then:

Now we have to move the 100 to the other side of the equation with a negative sign to get this:

Finally, to get w, we move the 2 that's multiplying to the other side dividing the 50:

Therefore, the width of the rectangle would be 25 ft if the perimeter is 150ft, and we can see how the rectangle would look:
Answer:
right triangle
Step-by-step explanation:
Given:
In circle O, m∠R = 30.8°.
To find:
The m∠NOQ
Solution:
Central angle theorem: According to this theorem, the central angle is always twice of subtended angle on the same arc.
Angle NOQ and angle NRQ are on the same arc but ∠NOQ is the central angle and ∠NRQ is the subtended angle on the arc NQ.
Using central angle theorem, we get




Therefore,
.
Answer:
23
Step-by-step explanation:
Simplify the following:
(-66)/(-3) - 4 - -5
The gcd of -66 and -3 is -3, so (-66)/(-3) = (-3×22)/(-3×1) = (-3)/(-3)×22 = 22:
22 - 4 - -5
-(-5) = 5:
22 - 4 + 5
22 + 5 = 27:
27 - 4
| 2 | 7
- | | 4
| 2 | 3:
Answer: 23