Answer:
Step-by-step explanation:
The given functions are:
and
We want to find .
Recall that:
We substitute the functions to get:
We now write in standard form to obtain:
Answer:
C $126,720
Step-by-step explanation:
First hour: 1280 tickets
Second hour: 20% more than 1280 tickets
20% of 1280 = 0.2 * 1280 = 256
1280 + 256 = 1536
Second hour: 1536 tickets
First & second hour tickets:
1280 + 1536 = 2816
Total sales:
2816 * $45 = $126,720
Answer: C $126,720
Answer:
8:07:12 am
Step-by-step explanation:
The lights will change simultaneously after any multiple of the least common multiple of their cycle times.
<h3>LCM</h3>
The least common multiple of a set of numbers is the product of the highest powers of their prime factors.
48 = 2⁴×3
72 = 2³×3²
108 = 2²×3³
The highest power of the factor 2 is 4. The highest power of the factor 3 is 3, so the LCM of the numbers 48, 72, and 108 is ...
LCM = 2⁴×3³ = 16×27 = 432
The lights will change simultaneously after each period of 7 minutes 12 seconds. They will change simultaneously again at 8:07:12 am.
Answer:
Step-by-step explanation:
8(3x + 4) = 2(12x − 8)
Open brackets
24x + 32 = 24x - 16
Collecting like terms
24x - 24x = -16 - 32
No Solution since the x as cancelled out