Answer:
5 sets
Step-by-step explanation:
The average number of pieces per set is the ratio of the total number of pieces to the total number of sets.
Let x represent the number of 3-piece sets. Then the total number of pieces is ...
3x +5(5) +10(2) = 3x +45
The total number of sets is ...
x +5 +2 = x +7
We want the ratio of these numbers to be 5 pieces per set:
(3x +45)/(x +7) = 5
3x +45 = 5x +35 . . . . . multiply by (x+7)
10 = 2x . . . . . . . . . . subtract (3x+35)
5 = x . . . . . . . . . divide by 2
Divya owns 5 sets with 3 pieces.
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<em>Alternate solution</em>
Each 10-piece set has 5 more pieces than average, so the two of them total 10 more pieces than average.
Each 3-piece set has 2 fewer pieces than average. The total number of 3-piece sets must have a total of 10 fewer pieces than average in order to balance the excess of the 10-piece sets. That is, there must be 10/2 = 5 of the 3-piece sets to have a total lof 10 fewer pieces than average.
Altogether, the differences from average must total zero.
A+b = c+d
a+b = 770/2 ( a+b+c+d = 770)
a+b = 385
c+d = 385
a+b+a-b = 385+49
2a = 434
a = 434/2
a = 217
a-b=49
217-49= b
b = 168
c+d+c-d = 385+211
2c = 596
c = 596/2
c = 298
c-d = 211
c-211= d
298-211 = d
d = 87
Therefore, a=217, b=168, c=298, d=87
Answer:
(1,0) and (-3,0)
Step-by-step explanation:
It is because at those points on the graph is where the graphed function crossed the x-axis.
Answer:
Total amount paid in july: $68 + $3.40 + 71.40
Step-by-step explanation:
given: June= $68 for electricty
