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AveGali [126]
3 years ago
10

A bolt has 16 1/2 turns per inch. How many turns would be in 2 1/2 inches of thread?

Mathematics
2 answers:
Ad libitum [116K]3 years ago
7 0
49 and 1/2 turns. Hope this helps.
Kazeer [188]3 years ago
3 0
We know that one inch has 16.5 turns.
To know the number of turns in 2.5 inches of thread, we will simply do a cross multiplication as follows:
number of turns = (2.5 x 16.5) / 1 = 41.25 turns
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Dylan has a fish tank at home. He knows its height, h, is one inch less than twice the width, w, and the length, l, of the fish
pickupchik [31]

The right answer is: <em>The binomial expression 2w + 6 represents the length of the fish tank.</em>


Dylan has a fish tank, so we assume that this tank is a cube. In this way, the volume of the tank is given by this expression:


V = w.h.l


Where:

h: height

w: width

l: length


We know the following things:


FIRST.<em> He knows its height, h, is one inch less than twice the width, w.</em>

This can be expressed as the following equation:


h=2w-1


SECOND. <em>The length, l, of the fish tank is seven inches longer than the height.</em>

We can express this statement as follows:

l=h+7 \\ \\ \therefore l=2w-1+7 \\ \\ \therefore l=2w+6


By substituting h \ and \ l in V:

V=w.h.l \\ \\ \therefore V=w(2w-1)(2w+6) \\ \\ \therefore V=w(4w^2-12w-2w-6) \\ \\ \therefore \boxed{V=4w^3-14w^2-6w}

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Answer:

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Step-by-step explanation:

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4 years ago
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How many three-digit numbers can be formed using elements from the set {1, 2, 3, 4, 5, 6} if no element may be used more than on
makkiz [27]

Answer:

60

Step-by-step explanation:

A 3-digit number can be odd only when the third digit in it would be odd.

So,

The 3rd digit becomes the most limiting which can be (1, 3, or 5).

Now,

Since we have 3 alternatives to pick the third digit, it can be done in three ways. For every of these 3 ways, 5 digits will be left to select the 1st. Thus, the number of ways to select 3rd and 1st digit = 3 * 5 = 15 ways

After picking the 1st and 3rd digits, we are left with 4 ways to pick the other 4 digits. Thus, the total number of ways to select all the digits would be;

3 * 5 * 4 = 60 ways

Hence, 60 is the correct answer.

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Answer:

hope it helps

.........

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