According to the recipe the ratio of sparkling water to grape juice = 1 1/2 : 3/4.
Let us convert 1 1/2 into improper fraction and that is 3/2.
Now, 3/2: 3/4 or 3/2 ÷ 3/4 = 3/2 × 4/3 = 2/1 or 2:1.
Therefore, sparkling water quantity is two times of the quantity of grape juice.
Now, we need to find the number of quarts of sparkling water need to mix in 9 quarts of grape juice.
<em>Since, sparkling water quantity is two times of the quantity of grape juice.</em>
<h3>Therefore, we need 2 × 9 = 18 quarts of sparkling water to mix in 9 quarts of grape juice.</h3>
And now we need to find the number of quarts of grape juice would we need to mix with 15/4 quarts of sparkling water.
<h3>Therefore, we need 1/2 × 15/4 = 15/8 quarts of grape juice to mix with 15/4 quarts of sparkling water.</h3>
Angles on a straight line add to 180°, so:
4x + 90 + 2x + 72 = 180
6x + 162 = 180
6x = 18
x = 3
I hope this helps!
Answer:
The answer to your question is the third choice.
Step-by-step explanation:
a) 6x - 5y = 8
12x - 10y = 16
We observe that these lines are the same so they have infinite solutions.
b)
7x + 2y = 6
14x + 4y = 16
These lines are parallel because they have the same slope, so they do not cross, there is no solution.
c)
8x - 3y = 10
16x - 6y = 22
These lines are parallel because they have the same slope, so they do not cross, there is no solution.
d)
9x + 6y = 14
18x + 12y = 26
These lines are parallel because they have the same slope, so they do not cross, they do not have an infinite number of solutions.
Answer:
The coordinates of point A are .
Step-by-step explanation:
The location of point A is defined by the vectorial sum of absolute coordinates of point P and coordinates of point A relative to coordinates of point P, that is:
(1)
- Absolute coordinates of point P.
- Absolute coordinates of point A.
- Vector to point A relative to point P.
If we know that and , then the absolute coordinates of point A are:
The coordinates of point A are .