A) The cost to send a package that weighs 3.2 pounds is $4.13. Since this weight exceeds 3 pounds but remains below 4 pounds, we have to refer to the pricing that applies to 4-pound packages (see the attached document for pricing details).
b) To illustrate the Media Mail shipping costs based on the weight of the books, a line graph is appropriate. In this graph, the weight in pounds is represented on the x-axis and the shipping costs on the y-axis.
c) The graph depicting the Media Mail shipping costs as a function of book weight will be represented by the equation: f(x) = 2.69 + 0.48(x-1)
Let
denote the length of the pond and <span> signify its width. It's recognized that the pond's volume equals the area of its base multiplied by its depth. In this case, the base area can be computed as volume divided by depth, equating to 72000 in³ divided by 24 in, resulting in an area of 3000 in². Given that the area is expressed as x multiplied by y, we come to equation 1, 3000 = x * y. If we have x = 2y, we substitute this into equation 1, leading to 3000 = (2y) * y, simplifying to 2y² = 3000 and consequently y² = 1500, giving y = 38.7 in. Thus, x = 2y yields x = 2 * 38.7 = 77.4 in. The conclusion is that the pond's length is 77.4 in while its width is 38.7 in.
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The price of the pencil is $0.25.
To arrive at this conclusion, divide 1.50 by 2 to get 0.75, then deduct 0.5, yielding 0.25. The ruler would be $0.75 plus $0.5, making it $1.25, and the pencil would be $0.75 minus $0.5, totaling $1.50.
Alternatively, you can establish an equation. Let r represent the ruler's cost and p the pencil's. The equations would be:
r + p = 1.50
r = p + 1.00
By substituting (p + 1.00) into the first equation for r, we get:
p + 1.00 + p = 1.50
Simplifying gives:
2p + 1.00 = 1.50
Subtracting 1.00 from both sides results in:
2p = 0.50
Dividing both sides by 2 leads to:
p = 0.25
Thus, the pencil is priced at $0.25.
Hope this clarifies things!:)
