Answer:
64 Chickens
Step-by-step explanation:
1. Add up the percents
19% + 28% + 13% = 60%
2. Subtract from 100%
100% - 60% = 40%
3. Multiply the total number of animals by the percent of chickens
160 * .4 = 64 Chickens
To solve this problem, let us first assign some
variables. Let us say that:
x = pigs
y = chickens
z = ducks
From the problem statement, we can formulate the
following equations:
1. y + z = 30 --->
only chicken and ducks have feathers
2. 4 x + 2 y + 2 z = 120 --->
pig has 4 feet, while chicken and duck has 2 each
3. 2 x + 2 y + 2 z = 90 --->
each animal has 2 eyes only
Rewriting equation 1 in terms of y:
y = 30 – z
Plugging this in equation 2:
4 x + 2 (30 – z) + 2 z = 120
4 x + 60 – 2z + 2z = 120
4 x = 120 – 60
4 x = 60
x = 15
From the given choices, only one choice has 15 pigs. Therefore
the answers are:
She has 15 pigs, 12 chickens, and 18 ducks.
Operations that can be applied to a matrix in the process of Gauss Jordan elimination are :
replacing the row with twice that row
replacing a row with the sum of that row and another row
swapping rows
Step-by-step explanation:
Gauss-Jordan Elimination is a matrix based way used to solve linear equations or to find inverse of a matrix.
The elimentary row(or column) operations that can be used are:
1. Swap any two rows(or colums)
2. Add or subtract scalar multiple of one row(column) to another row(column)
as is done in replacing a row with sum of that row and another row.
3. Multiply any row (or column) entirely by a non zero scalar as is done in replacing the row with twice the row, here scalar used = 2
If 3 inch....................................20 ft
?inc...........................................57 feet
(57*3)/20=171/20=8.55 inch
Answer:
x = 10
Step-by-step explanation:
Solve for x:
2 (x + 2) - 7 + x = 27
2 (x + 2) = 2 x + 4:
2 x + 4 + x - 7 = 27
Grouping like terms, 2 x + x - 7 + 4 = (2 x + x) + (4 - 7):
(2 x + x) + (4 - 7) = 27
2 x + x = 3 x:
3 x + (4 - 7) = 27
4 - 7 = -3:
3 x + -3 = 27
Add 3 to both sides:
3 x + (3 - 3) = 3 + 27
3 - 3 = 0:
3 x = 27 + 3
27 + 3 = 30:
3 x = 30
Divide both sides of 3 x = 30 by 3:
(3 x)/3 = 30/3
3/3 = 1:
x = 30/3
The gcd of 30 and 3 is 3, so 30/3 = (3×10)/(3×1) = 3/3×10 = 10:
Answer: x = 10
