Answer:
see explanation
Step-by-step explanation:
The n th term of a geometric sequence is
= a₁ 
where a₁ is the first term and r the common ratio, hence
= 6 × 
= 6 × - 
= 6 × - 
= - 
2x + 7 = 3
2x = 3 - 7
2x = -5
x = -5/2
Partial products are the products obtained during the intermediate stages in order to complete a multiplication process.
Consider 68 
43, we have to determine the partial products in this.
Now, 
Expanding this, we get
= 
= 2400 + 180 + 320 + 24
= 2924
Hence, 
and 
are the required partial products in the product of 68 and 43.
So, Option 3 and 4 are the correct answers.
Answer:
0.12 cups
Step-by-step explanation:
What we need to get here is the proportion of cheese in each dish. This implies the ratio of cheese per dish.
Sarah used 2.5 cups for 10 people, which means 2.5/10 cups of cheese per dish. 2.5/10= 0.25
So, Sarah gave 0.25 cups of cheese to each dish.
If we make the same calculation for Aron, we have 1.6/12=0.13
Arun used 0.13 cups of cheese per dish.
For getting the difference we just need to subtract:
0.25-0.13=0.12
So, Sarah used approximately 0.12 cups of cheese per dish more then Arun.
