12 is a common denominator.
1/4 = 3/12
2/3 = 8/12
Answer:
-5
Step-by-step explanation:
x = first number
y = second number
From the first sentence
11 = 2x + 3y
From the second sentence (I'm assuming the word "dust" should be "first"
y = 2-x
rewritten as
x + y = 2
So your system of equations is
2x + 3y = 11
x + y = 2
Multiply the 2nd equation by -2
2x + 3y = 11
-2x - 2y = -4
Add the two equations together
y = 7
Use y=7 to solve for x
x = 2-y = 2-7 = -5
16 is the rational number, hope this is helpful
Answer: 0.665.
Step-by-step explanation:
60% of the bags are from supplier A, and 95% of them are undamaged.
40% of the bags are from supplier B, and 75% of them are undamaged.
Then, the number of undamaged bags from supplier A is:
0.6*0.95 = 0.57 or 57%
from B is:
0.4*0.75 = 0.3 or 30%
This means that the percentage of undamaged bags is:
57% + 30% = 87%.
Then, the probability that an undamaged bag is from supplier A is equal to the percentage of undamaged bags that came from supplier A (57%) and the total percentage of undamaged bags (87%) this is:
P = 57%/87% = 0.655 or 65.5%
Then the probability that an undamaged bag comes from supplier A is 0.665.
Answer:
The correct option is C.
Step-by-step explanation:
The vertices of ABCD are A(2,-3), B(8,-6), C(14,-3), and D(8,0).
Distance formula:
The length of sides are
Since length of all sides are equation therefore the given parallelogram cannot be a rectangle.
Slope formula:
Slope of AB is
Slope of BC is
Since the slopes of two consecutive sides are not opposite reciprocals, therefore the given parallelogram is a rhombus. Option C is correct.
