Answer:
the lower right matrix is the third correct choice
Step-by-step explanation:
Your problem statement shows that you have correctly selected the matrices representing the initial problem setup (middle left) and the problem solution (middle right).
Of the remaining matrices, the upper left is an incorrect setup, and the lower left is an incorrect solution matrix.
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We notice that in the remaining matrices on the right that the (2,3) term is 0, and the (3,2) and (3,3) terms are both 1.
The easiest way to get a 0 in the 3rd column of row 2 is to add the first row to the second. When you do that, you get ...
Already, we see that the second row matches that in the lower right matrix.
The easiest way to get 1's in the last row is to divide that row by 0.15. When we do that, the (3,4) entry becomes 2100/0.15 = 14000, matching exactly the lower right matrix.
The correct choices here are the two you have selected, and <em>the lower right matrix</em>.
Answer:
1 2/21
Step-by-step explanation:
We start out with:
3/7 + 2/3
In order to add them together, they must have an equal denominator. An easy way to find an equal denominator is the cross method. We divide 7 by 3 and 3 by 7, giving us a denominator of 21:
3/21 + 2/21
But what about the numerators? You do the same thing as before (multiplying by the other's denominator). Now we have:
9/21 + 14/21
We add both together (the denominator stays the same) and we get 23. 23/21 is correct but not in simplest form. We remove 21 from the numerator (because it is a whole) and finally get:
1 2/21!
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4(5x-20)=-20
20x-80=-20
20x=60
x=3
Answer:
Step-by-step explanation:
Given: Original length = inches
inches ( In improper fraction )
Length of piece cut from original = inches
inches ( In improper fraction )
Length of piece leftover piece = (Original length ) - (Length of piece cut )
Hence, the leftover piece will be long.
Answer:
AB = 12 cm
Step-by-step explanation:
AB/BC = XY/BY
From the above question:
AB = ??
BC = 9cm
XY = 4cm
BY = 3 cm
AB/9 = 4/3
Cross Multiply
AB × 3 = 9 × 4
AB = 9 × 4/3
AB = 12 cm
Therefore, Length AB = 12cm