Let s denote the count of shirts and h the count of hats.
According to the provided information, the talent show organizers have a budget of $1800 to purchase merchandise clothing for sale at the event. The price for shirts is $10 each, while hats are priced at $8.
The expense for s shirts is given by
, and the cost for h hats is described by
. The combined cost for s shirts and h hats must not surpass 1800, which can be expressed as:

Additionally, they plan to acquire at least five times more shirts than hats. This implies that the quantity of shirts should be at least five times that of hats. This can be represented as:

Therefore, the second inequality should be
making option C the correct answer.
Answer:
-1
Step-by-step explanation:
The roots of the polynomial are -2 and 3. According to the zero product property:

Given that the last term in the cubic equation is -6, it indicates that a must equal 1 as the product of -2 and 3 already results in -6. This can be verified by expanding the three factors:

Thus, following the zero product property, the final value is -1.
Hope this clarifies!
Answer:
For every increase of one hundred-thousand dollars in listing price, it is anticipated that the sales price will rise by $110,000.
Step-by-step explanation:
The expected increment in sales price is not $1.1, but rather $110,000 because S is expressed in hundreds of thousands of dollars. It is expected that the sales price will rise by $110,000, not drop.