Answer:
The answer is A.
Step-by-step explanation:
Answer:
0.28
Step-by-step explanation:
Let p be the probability of pasta.
Total probability is = 1
Therefore,
0.3 + 0.42 + p = 1
0.72 + p = 1
p = 1 - 0.72
p = 0.28
The probability that it will be pasta is 0.28
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:
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Answer:
See attached photo for graphs.
Step-by-step explanation:
The first step is to solve each equation for y, then graph using slop-intecept form...
x + y = 8
y = -x + 8 (subtract x from both sides)
x - y = 4
-y = -x + 4 (subtract x from both sides)
y = x - 4 (divide both sides by -1)
The cost of each vegetable is €1.50 per pound
Edward bought 3.25 pounds of carrot.
So the cost of 3.25 pounds of carrots = 3.25 × 1.50 = €4.875
He also purchased
pounds of beet.
Quantity of beet purchased = 6/5 = 1.2 pounds
So the cost of beet shall be = 1.50 × 1.2 = €1.80
He purchased 0.95 pounds of Broccoli
So the cost of Broccoli shall be = 0.95 × 1.50 = €1.425
Total amount spent = 4.875 + 1.80 + 1.425 = €8.10
Edward spent €8.10 on vegetables.