adalan6986
23.11.2020 •
Mathematics
Pls help me get a good grade
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Ответ:
Step-by-step explanation:
To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate.
On call: 3.5 hours is $10
We are trying to find the cost per hour, which means 3.5 needs to become a one. Therefore the amount of hours is the denominator:
Unit rate is $2.90 for an hour: $10/3.5 = 2.2.85714285714/1 = 2.86/1
Talk time: (3/4 is .75 hours) .75 hours is 1.75
Unit rate: 1.75/.75 = 2.3333/1 = 2.30/1Talk time has the lower rateYou would multiply 0.06 by 60 because syou are going from a smaller unit (which is minuetes) to a bigger unit (which is hours)
0.06*60= 3.60
On call: $2.86 per hour
Talk time: $2.30 per hour
Another company: $3.60 per hour
The cost per hour is $3.60, which more than the other two costs, therefore it is not a better deal.
Hope this helps and answers all your questions!
Ответ:
Part A: Please find the included graph of the system of inequalities
The solution set are y ranges from 0 to 8/3 and x ranges from 0 to 8
Part B: The point (8, 2) is not included in the solution area for the system
Part C: At the point (2, 2) Michele is able to feed four dogs two dry foods and two we t foods for $8
Step-by-step explanation:
Part A: The expression given are;
1) x + 3y ≤ 8..........................(1)
2) x + y ≥ 2...........................(2)
We rearrange inequality (1) and rewrite it in an equation format to make y the subject of the formula so we have;
3y = 8 - x
y = 8/3 - x/3
Which gives;
y ≤ 8/3 - x/3
Similarly for equation (2), we have;
y = 2 - x
Which gives;
y ≥ 2 - x
After plotting, we shade below the plotted solid line for y = 8/3 - x/3 and above the plotted solid line for y = 2 - x to get the regions of the inequality y ≤ 8/3 - x/3 and y ≥ 2 - x respectively
The solution set are y ranges from 0 to 8/3 and x ranges from 0 to 8
Part B: For x = 8 and y = 2 we have for inequality (1)
8 + 3 × 2 = 14 8, therefore, the point (8, 2) is not included in the solution area for the system
Also from the shaded region on the graph, it is shown that the point (8, 2) is not included in the solution area for the system
Part C: The point chosen is (2, 2)
It means that Michelle will buy 2 servings of dry food for 2 × $1 ( which makes $2) and 2 servings of wet food for 2 × $3 ( which is $6) for a total of $8 to feed four dogs.