<span><span><span><span>−<span>2<span>(<span>q−22</span>)</span></span></span>+q</span>+12</span>>0</span>
Step 1: Simplify both sides of the inequality.<span><span><span>
−q</span>+56</span>>0</span>
Step 2: Subtract 56 from both sides.<span><span><span><span>
−q</span>+56</span>−56</span>><span>0−56</span></span><span><span>
−q</span>><span>−56</span></span>
Step 3: Divide both sides by -1.<span><span><span>
−q</span><span>−1</span></span>><span><span>−56</span><span>−1</span></span></span><span>
q<56</span>
Answer: q<56
The question also states that Lucy has a winning probability of 1/50, which means that she has 1 chance of winning if the total runners were 50. Therefore, there are 49 runners who may be faster than her.
The fact that Lucy is the 50th slowest runner, means that starting from the slowest she is in 50th position, therefore there are 49 runners that are slower than her.
The total number of runners will be the sum of those faster than Lucy, those slower than Lucy and Lucy:
49 + 49 + 1 = 99
There are 99 runners in Lucy's school.
The original number is 72
(18+x)/6 = 1+14
1/6x + 3 = 1 + 14 (Distribute)
1/6x + 3 = (1+14) (Combine Like Terms)
1/6x + 3 = 15
- 3 = -3 (Subtract 3 From Both Sides)
1/6x = 12
(1/6x)*6 = 12 * 6 (Multiply Both Sides By 6)
x = 72
Find the last angle:
180-(30+90)
180-(120)
60
Evaluate using sine rule:
=
c=
=
=20
The length of line segment AB is 20 feet (answer choice C)
Jan. profit..... 5625.14
feb..loss... - 4250.35
march..profit...1475.55
add the profits and subtract the losses...if the result is positive, then the company made a profit....if the result is negative, then the company had a loss.
(5625.14 + 1475.55) - 4250.35 = 7100.69 - 4250.35 = 2850.34.....as u can see, the result ended in a positive number....so, in the 3 month period, the company made a profit of $ 2850.34 <==
