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.
Answer:
The answer is below
Step-by-step explanation:
The coordinate of the midpoint of a line is gotten by adding the values of the two end points and then dividing the result by 2.
Given that M is the midpoint of AB, A = 7y and B = 3x, hence the coordinate of point M is given as:
M = (A + B)/2 = (7y + 3x)/2
Also, C is the midpoint of AM, hence the coordinates of point C is given as:
Hence the coordinates for point C is 
So what you do for distributive property is take #1 for example: 3(2x + 10) = 54. When there’s a parenthesis, you take the outside number which is the 3 times the numbers inside the parenthesis. So after doing that first step you should get 6x + 30 = 54. Now you want to get rid of the 30 so you do 30-30=0 but you have to do it on the other side as well. So subtracting 30 on both sides you should have 6x = 24. Now you want to get x by itself. The opposite of multiplying is dividing so you divide 6 from 6x. So the same on the other side. You get your answer x=4 if you did everything correct
Answer:
b=19
Step-by-step explanation:
2x(3x+5)+3(3x+5)=ax2 +bx+c
by expansion,
6x2 +10x +9x+15=6x2 +19x +15
Answer:qt62
Step-by-step explanation:
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