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kotykmax [81]
3 years ago
8

Find the minimum and maximum possible areas of a rectangle measuring 6 km by 11 km.

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
3 0
Assuming your numbers are rounded to the nearest km, the minimum area will be ...
  (5.5 km)·(10.5 km) = 57.75 km² . . . minimum

And the maximum area will be ...
  (6.5 km)·(11.5 km) = 74.75 km² . . . maximum

_____
When a number is rounded to 6 km as the nearest km, its value may actually be anywhere in the range 6 km ± 0.5 km. If you really want to get technical about it, the ranges of possible dimensions are [5.5, 6.5) km and [10.5, 11.5) km, and the range of possible areas is [57.75, 74.75) km².
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3 years ago
A store is selling two mixtures of nuts in 20-ounce bags. The first mixture has 15 ounces of peanuts combined with five ounces o
Mnenie [13.5K]
Given that a <span>store is selling two mixtures of nuts in 20-ounce bags: peanuts and cashews.

Let the cost of one ounce of peanut be x and the cost of one ounce of cashew be y, then

Given that </span>t<span>he first mixture has 15 ounces of peanuts combined with five ounces of cashews, and costs $4.25 implies that 15x + 5y = 4.25

Also, given that </span>t<span>he second mixture has five ounces of peanuts and 15 ounces of cashews, and costs $6.75 mplies that 5x + 15y = 6.75

To obtain the cost of </span><span>one ounce of peanuts and one ounce of cashews, we solve the two equations above, simultaneously:
15x + 5y = 4.25 - - - (1) \\ 5x + 15y = 6.75 - - - (2) \\  \\ (1)\times3\Rightarrow45x+15y=12.75 - - - (3) \\  \\ (2)-(3)\Rightarrow-40x=-6 \\  \\ \bold{x= \frac{-6}{-40} =0.15} \\  \\ From\ (1):15(0.15)+5y=4.25 \\  \\ 5y=4.25-2.25=2 \\  \\ \bold{y= \frac{2}{5} =0.4}

Therefore, </span><span>one ounce of peanuts and one ounce of cashews cost $0.15 and $0.40 respectively.</span>
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3 years ago
While walking past a flag pole, Tommy looked down and noticed his shadow. Use the diagram below to
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Step-by-step explanation:

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3 years ago
Can anyone help me with number 10?
34kurt
Do you still need help?
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