Answer:
The price per kilogram of salami amounts to = $9.1
Step-by-step explanation:
Given:
Hailey spent $13 on
kg of sliced salami.
We need to determine the cost per kg of the salami.
Solution:
We will use the unitary method to find the cost for one kilogram of salami.
If
kg of salami costs $13
Then the cost for 1 kg of salami in dollars = 
When dividing mixed numbers, we convert them to fractions.
⇒ 
⇒ 
To divide fractions, we take the reciprocal of the divisor and multiply.
⇒ 
⇒ 
⇒ 
⇒ 
Hence, the cost per kilogram of salami is = $9.1
To determine the rates at which the inlet and outlet pipes fill and empty the reservoir, we remember that work done equals rate multiplied by time. Let’s denote the inlet rate as i and for the outlet pipe as 0. Therefore,
i(24) = 1
o(28) = 1
In this context, the '1' represents the total number of reservoirs, since the problem states the time needed for each pipe to either fill or empty a singular reservoir. Solving for rates yields:
i = 1/24 reservoirs/hour
o = 1/28 reservoirs/hour
Over the first six hours, the inlet pipe fills (1/24)(6) = 1/4 reservoirs and during the same period, the outlet pipe empties (1/28)(6) = 3/14 reservoirs. To calculate the net volume of the reservoir filled, we subtract the emptying total from the filling total:
1/4 - 3/14 = 1/28 reservoirs (note that if emptying exceeds filling, a negative value results. In such cases, treat that negative value as zero, indicating that the outlet rate surpasses the inlet rate, leading to an empty reservoir).
Now we need to find out how long it will take to fill up one reservoir since we’ve already partially filled 1/28 of it, after closing the outlet pipe. In simpler terms, we need to determine the time required for the inlet pipe to finish filling the remaining 27/28 of the reservoir. Fortunately, we have already established the filling rate for the inlet pipe, leading to the equation:
(1/24)t = 27/28
Solving for t gives us 23.14 hours. Remember to add the initial 6 hours to this result since the question seeks the total time. Thus, the final total is 29.14 hours.
Please ask me any questions you may have!
<span>P(black socks): 24/42 or 12/21
P(black socks without replacement): 23/41. Consequently, the chance of randomly selecting 2 black socks, without replacement, from the basket is 12/21×23/41=276/861, equivalent to 32%. Hope this helps!</span>
Hey! Hi! Hola! Aloha!
When rounding 1199.28856995 to the nearest tenth, the result is 119.3.
I hope this is helpful!
The area of square TUVW is calculated as 3 times 3, giving 9 square units.
In terms of head lettuces, since 1 square unit accommodates 4 lettuces, 9 square units can house 9 times 4, totaling 36 lettuces.
For plot QRST, the area is determined by multiplying its length by its width: 12 times 6 equals 72 square units.
With 36 vegetables available for every 9 square units, we can partition 72 by 9 to yield 8 plots of 9 square units.
In total, this accounts for 8 times 36, resulting in 288 vegetables.
We can cultivate 8 types of vegetables, with each type yielding 36 vegetables.