The first soccer team scored 8 goals in 4 games. The second soccer team scored 27 goals in 9 games. Which soccer team scored mor
2 answers:
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Answer:
Total Paperback books = 8x , where x is any positive number
Step-by-step explanation:
Let
The total books are = 13x ; where x is any positive number
As given,
The ratio of hardback books to total books is 5 to 13.
⇒Hardback books = × Total books
⇒Hardback books = × 13x = 5x
So, Paperback books = Total books - Hardback books
= 13x - 5x
= 8x
⇒Total Paperback books = 8x
The statement that does not match the others is the one at lower right.
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The barn's volume can be decomposed into a rectangular prism and a triangular one. Thus the <em>upper right</em> expression is a true represenation of the barn's volume:
... Volume of triangular prism + Volume of rectangular prism
The volume of a <em>rectangular prism</em> is the product of its dimensions. The dimensions of the rectangular prism portion of the barn's volume are a, b, c, so the volume of that portion is ...
... Volume of rectangular prism = a·b·c
The volume of a <em>triangular prism</em> is the area of the triangular base multiplied by the length of the prism. Here, the triangular base has base dimension b and height (d-c), so its area is ...
... Area of triangular barn end = (1/2)b(d-c)
Since the length of the barn is "a", the volume of the triangular prism is ...
... Volume of triangular prism = (1/2)b(d-c)a = (1/2)·a·b·(d-c)
The <em>total volume</em> is the sum of the volumes of the parts ...
... a·b·c + (1/2)·a·b·(d-c) . . . . . . matches the <em>upper right</em> selection
This can be factored by removing a·b to outside parentheses:
... a·b·((1/2)·(d-c) + c) . . . . . . . . . matches the <em>lower left</em> selection
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Since the two left selections match the one at upper right, the odd one is the one at lower left.
