Answer:
m = 160
p = 90
w = 10
z = 80
y = 10
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The row echelon form of the matrix is presented as follows;

<h3>What is the row echelon form of a matrix?</h3>
The row echelon form of a matrix has the rows consisting entirely of zeros at the bottom, and the first entry of a row that is not entirely zero is a one.
The given matrix is presented as follows;

The conditions of a matrix in the row echelon form are as follows;
- There are row having nonzero entries above the zero rows.
- The first nonzero entry in a nonzero row is a one.
- The location of the leading one in a nonzero row is to the left of the leading one in the next lower rows.
Dividing Row 1 by -3 gives:

Multiplying Row 1 by 2 and subtracting the result from Row 2 gives;

Subtracting Row 1 from Row 3 gives;

Adding Row 2 to Row 3 gives;

Dividing Row 2 by -2, and Row 3 by 18 gives;

The above matrix is in the row echelon form
Learn more about the row echelon form here:
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Answer:
120
Step-by-step explanation:
No. of plastic cups = 24
No. of straws =20
We need to find the smallest number of each that could be bought so that you had the same amount of cups and straws.
Prime factrisation of 24 = 2×3×2×2
Prime factorisation of 20 = 2×5×2
LCM = 120
Hence, the smallest number of each type will be 120.
9514 1404 393
Answer:
15 cm
Step-by-step explanation:
The formula for the surface area of the cone is ...
A = πr² +πrL = πr(r +L)
The radius of this cone is half its diameter so is (12 cm)/2 = 6 cm. Then the slant height L can be found from ...
126π cm² = π(6 cm)(6 cm +L)
21 cm = 6 cm +L . . . . . . . . . . . . . . divide by 6π cm
15 cm = L . . . . . . . . . . . . . . . . subtract 6 cm
The slant height is 15 centimeters.