Answer:
50 liters
Step-by-step explanation:
If x is the volume of 20% acid, then:
x (0.20) + 20 (0.45) = (x + 20) (0.30)
0.2x + 9 = 0.3x + 6
3 = 0.1x
x = 30
30 liters of 20% acid are needed, so there will be a total of 50 liters of 30% acid.
A is your answer
We can cross multiply using x/70=30%/100
Solving it we get:
100x=2100 (70 times 30)
x=21
So we get a, 21 as your answer.
I hope this helped!
A. The coordinates of the midpoint of CD in terms of p and q is [(4 + p) / 2 , (5 + q) / 2]
B. The coordinates of D, Given that the midpoint of CD is (7, 1) is (10 , -3)
<h3>A. How to determine the mid point</h3>
- Coordinate of C = (4, 5)
- Coordinate of D = (p, q)
- Mid point =?
Mid point = (X , Y)
X = (x₁ + x₂) / 2
X = (4 + p) / 2
Y = (y₁ + y₂) / 2
Y = (5 + q) / 2
Thus,
Mid point = (X , Y)
Mid point = [(4 + p) / 2 , (5 + q) / 2]
<h3>B. How to determine the coordinates of D</h3>
- Mid point = (7, 1)
- Coordinates of D =?
Mid point = (7, 1) = (X , Y)
X = (4 + p) / 2
7 = (4 + p) / 2
Cross multiply
7 × 2 = 4 + p
14 = 4 + p
Collect like terms
p = 14 - 4
p = 10
Y = (5 + q) / 2
1 = (5 + q) / 2
Cross multiply
1 × 2 = 5 + q
2 = 5 + q
Collect like terms
q = 2 - 5
q = -3
Coordinates of D = (p, q)
Coordinates of D = (10 , -3)
Learn more about coordinate geometry:
brainly.com/question/4976351
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Half of the people bought tickets at $1.50, $1.50 times 15 equals $22.50
The other half bought them at the regular price of $2.75, $2.75 times 15 equals $41.25
When we combine the two money totals, we end up with a grand total of $63.75
