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AVprozaik [17]
3 years ago
9

The price to ship a box varies directly as the weight of the box in pounds. A box that weighs 10 pounds costs $10.90 to ship.

Mathematics
1 answer:
nydimaria [60]3 years ago
7 0
Well we can say 10.90/10 = the cost per pound to ship the item
we can infer this from the above text so
10.90/10 = 1.09.
So 1.09 * 37 = 40.33
$40.33
or 40 dollars and 33 cents to ship the second box with a weight of 37lb (pounds).
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Let z be the product of any 5 consecutive three digit odd natural numbers. When you multiply
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Answer:

  5

Step-by-step explanation:

If x is the middle number of the 5 consecutive odd numbers, their product is ...

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The first 3-digit prime is 101, so the product of that with this is ...

  101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x

Since we're only interested in the units digit, we can find the mod 10 value of this to be ...

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Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...

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  3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10

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  7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10

  9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10

In every case, the units digit of 101z will be 5.

4 0
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<u>Construct potential hypotheses</u><u> or research questions to relate the </u><u>variables </u><u>in each of the following examples - </u>

<u>Political party and support of the affordable care act -</u>

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The given statement is An integer is divisible by 100 if and only if its last two digits are zeros.

The two conditional statements that can be made are:

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This is a true statement. If a number is divisible by 100, it means 100 must be a factor of that number. When 100 will be multiplied by the remaining factors, the number will have the last two digits zeros.

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This is also true. If the last two digits are zeros, this means 100 is a factor of the integer. So the number will be divisible by 100.

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4 0
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Read 2 more answers
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