Answer:
12 quarts of the 90% pure apple juice should be used
Step-by-step explanation:
Here, we want to calculate the number of quarts of the 90% pure apple juice to be used.
Let the number of quarts of the 90% pure apple juice to be used be x;
This brings the total of the 85% result to (4 + x)
By mathematical convention;
4 quarts of 70% + x quarts of 90% = (4 + x) of 85%
70% = 70/100 = 0.7
90% = 90/100 = 0.9
85% = 85/100 = 0.85
Thus, mathematically;
(0.7 * 4) + (0.9 * x) = 0.85(4 + x)
2.8 + 0.9x = 3.4 + 0.85x
Let’s collect like terms
3.4 -2.8 = 0.9x -0.85x
0.6 = 0.05x
x = 0.6/0.05
x = 12
To get an 85% pure mixture, you need to combine 4 quarts of 70% pure apple juice with 4 quarts of 90% pure apple juice. This is obtained by setting and solving an algebraic equation based on percentage purity and volume.
This problem relates to an area of mathematics known as algebra. We are trying to find the amount of 90% pure apple juice needed to achieve an 85% pure mixture with a 4 quart bottle of 70% pure apple juice.
First, let's set up an equation based on the given information:
70%(amount of 70% pure apple juice) + 90%(amount of 90% pure apple juice) = 85%(total amount of apple juice mix)
Since the 70% pure apple juice is 4 quarts, the equation becomes:70%(4 quarts) + 90%(x) = 85%(4 quarts + x)
Next, we will solve for x. To do this, convert the percentages into decimals, multiply through, simplify and solve.
0.7(4) + 0.9x = 0.85(4+x)
2.8 + 0.9x = 3.4 + 0.85x
Solving for x, we get that x = 4 quarts.
So, you would need 4 quarts of the 90% pure apple juice to get an 85% pure mixture with your 4 quart of 70% pure apple juice.
#SPJ3
Which of these shows how to plot the point to mark the skating rink?
From the origin, move 1.5 units to the left along the x-axis and 1 unit vertically down, and place the point.
From the origin, move 1 unit to the left along the x-axis and 1.5 units vertically down, and place the point.
From the origin, move 1 unit to the right along the x-axis and 1.5 units vertically down, and place the point.
From the origin, move 1.5 units to the right along the x-axis and 1 unit vertically down, and place the point.
Answer:
The correct option is 1.
Step-by-step explanation:
It is given that the skating rink is at (−1.5, −1).
Here, x-coordinate is -1.5 and y-coordinate is -1.
In a point P(a,b),
If a>0, then the point P is a units right from the origin and if a<0, then the point P is a units left from the origin.
If b>0, then the point P is b units up from the origin and if b<0, then the point P is b units down from the origin.
It the given point (-1.5, -1), a=-1.5 and b=-1 both are negative.
From the origin, move 1.5 units to the left along the x-axis and 1 unit vertically down, and place the point.
Therefore the correct option is 1.
A.
hotheaded
B.
peachy
C.
heart of stone
D.
crystal clear