Prime factors are basically the smallest whole numbers that multipy to get that number so
204=2 times 102
102=2 times 51
51=3 times 17
prime factorization is 2 times2 times 3 times 17
<span><span> x = -3/2 = -1.500
</span><span> x = 4</span></span>
The number of hours spent lifeguarding and clearing tables is 5.4 hours and 8.6 hours respectively
<h3>Solving inequality equation</h3>
- x = number of hours lifeguarding
- y = number of hours clearing tables
x + y ≤ 14 (1)
19x + 9y ≤ 180 (2)
From (1)
x = 14 - y
substitute into (2)
19x + 9y ≤ 180
19(14 - y) + 9y ≤ 180
266 - 19y + 9y ≤ 180
- 19y + 9y ≤ 180 - 266
- 10y ≤ -86
y ≤ -86 / -10
y ≤ 8.6 hours
x + y ≤ 14
x + 8.6 ≤ 14
x ≤ 14 - 8.6
x ≤ 5.4 hours
Learn more about inequality equation:
brainly.com/question/11234618
Answer:
Step-by-step explanation:
<em>Supplementary angles add up to 180°</em>
- x + (x + 142°) = 180°
- 2x = 180° - 142°
- 2x = 38°
- x = 19°
<u>The other angle</u>
- x + 142° = 19° + 142° = 161°
