First term (a) = -15
common difference(d)= -9-(-15)
= -9+15=6
So,
12th term(a12)= a +(n-1)d
= -15+(12-1)×6
= -15 + 11×6
= -15+66
= 51
Answer: We need to mix 18 quarts of sparkling water with 9 quarts of grape juice.
We need to mix 1.875 quarts of grape juice with 3.75 quarts of sparkling water.
Step-by-step explanation:
Given: A recipe for sparkling grape juice calls for 1.5 quarts of sparkling water and .75 quart of grape juice.
Since, for recipe of sparkling grape juice , they should be used in same proportion.
Let x be the amount of sparkling water need to mix with 9 quarts of grape juice, then

We need to mix 18 quarts of sparkling water with 9 quarts of grape juice.
Let y be the amount of grape juice need to mix with 3.75 quarts of sparkling water, then

We need to mix 1.875 quarts of grape juice with 3.75 quarts of sparkling water.
Answer:

Step-by-step explanation:
The square root of 11 is 3.31... this could be the answer.
Answer:
19
Step-by-step explanation:

Answer:
The area of the parallelogram is 55 square unit.
Step-by-step explanation:
The area of a parallelogram is

It is given that the vertices of the parallelogram are P(-2, -5), Q(9, -5), R(1, 5), S(12, 5).
Plot these points on a coordinate plane, and draw a perpendicular on PQ from the point R.
From the graph is clear that length of PQ is 11 and the height of the parallelogram is 10. So, the area of a parallelogram is


Therefore the area of the parallelogram is 55 square unit.