Step 1: You can distribute it by multiplying 6 by 2x and -12, so you get 12x-72= 24
Step 2: Now you can solve it by adding 72 on both sides, so we get 12x= 96, then you can divide 12 on both sides, so we get x=8.
Answer:
<h3>0.36 x 10⁰</h3>
Step-by-step explanation:
Answer:
1/6 a gallon of paint is in each container
Step-by-step explanation:
2/3 * 1/4 = 2/12
2/12 = 1/6
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:
Option C is correct
Step-by-step explanation:
In similar triangles corresponding sides are in same ratio.
Notice that sides b and q are corresponding ( they are opposite equal angles) and so are a and p
