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Sergio [31]
3 years ago
13

How do you work out 3x-2(x+4)=22?

Mathematics
1 answer:
Olenka [21]3 years ago
6 0

Answer:

x=30

Step-by-step explanation:

To solve this equation, simplify using the distributive property and combining like terms. Then solve for x through inverse operations.

3x-2(x+4)=22

3x-2x-8=22

x-8=22

x-8+8=22+8

x=30

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Assume a warehouse operates 24 hours a day. Truck arrivals follow Poisson distribution with a mean rate of 36 per day and servic
kirill [66]

The expected waiting time in system for typical truck is 2 hours.

Step-by-step explanation:

Data Given are as follows.

Truck arrival rate is given by,   α  = 36 / day

Truck operation departure rate is given,   β= 48 / day

A constructed queuing model is such that so that queue lengths and waiting time can be predicted.

In queuing theory, we have to achieve economic balance between number of customers arriving into system and that of leaving the system whether referring to people or things, in correlating such variables as how customers arrive, how service meets their requirements, average service time and extent of variations, and idle time.

This problem is solved by using concept of Single Channel Arrival with exponential service infinite populate model.

Waiting time in system is given by,

w_{s} = \frac{1}{\alpha - \beta  }

        where w_s is waiting time in system

                   \alpha is arrival rate described Poission distribution

                   \beta is service rate described by Exponential distribution

w_{s} = \frac{1}{\alpha - \beta  }

w_{s} = \frac{1}{48 - 36 }

w_{s} = \frac{1}{12 } day

w_{s} = \frac{1}{12 }  \times 24  hour        ...it is due to 1 day = 24 hours

w_{s} = 2 hours

Therefore, time required for waiting in system is 2 hours.

           

                   

5 0
3 years ago
Matthew bought snacks for soccer team. He bought a bag of apple slices for $5.65, and he bought a 12 pack of Gatorade bottles. T
agasfer [191]

Answer:

6.48/12=B

Step-by-step explanation:

B=6.48

6.48/12=0.54

Each Gatorade bottle costs 54 cents.

5 0
3 years ago
Read 2 more answers
Can someone pls help :(
aleksandrvk [35]

Answer:

srry man i suck at civics, but i think it is B?

Step-by-step explanation:

7 0
3 years ago
A truck is said to get 18 miles per gallon on a highway, but this value can fluctuate,
Ratling [72]

Answer: 14 miles ≤ D ≤ 22 miles.

Step-by-step explanation:

The mean distance traveled per gallon, is 18 miles.

But this can fluctuate, at most, by 4 miles.

Because we have here the "at most", we know that we should use the ≤, ≥ symbols.

Then, if the mean is 18mi, the range of possible distances traveled per gallon is:

(18 miles - 4 miles) ≤ D ≤ (18 miles + 4 miles)

Where D is the distance.

14 miles ≤ D ≤ 22 miles.

So the truck can get between 14 miles and 22 miles per gallon on the highway.

4 0
3 years ago
Kianna and three friends went out to dinner together. The total bill was $58.49. If they each agreed to pay an equal share of th
jonny [76]
Answer:  $15.00 per person.
______________________________
Explanation:
______________________________
 Given that there are "4 people" (that is, "Kianna and three friends");
____________________________________________________
and a total of "$58.49" ; to be divided equally among 4 (four) people;
______________________________
 we are asked to <em><u>estimate</u></em> the amount that EACH person will pay.
______________________________
For an <em><u>ESTIMATE</u></em>,  $58.49 is ABOUT $60.00; or "60 dollars". ;

and (60 dollars) / 4 = 15 dollars {$15; or $15.00}. 

60/4 = 15;  or 60/4 = (60÷2)/(4÷2) = 30/2 = 15.
________________________________________________
3 0
3 years ago
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