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lana [24]
3 years ago
8

The ratio of wooden bats to metal bats in

Mathematics
1 answer:
lapo4ka [179]3 years ago
6 0
<h3>Answer: 10 metal bats</h3>

"Ratio of wooden bats to metal bats is 2 to 1" basically means "there are twice as many wooden bats (compared to metal ones)". So if we had 3 metal bats, then we'd have 2*3 = 6 wooden bats. If we had 7 metal bats, then we have 14 wooden ones (because 2*7 = 14). And so on. The basic rule is to multiply the amount of metal bats by 2 to get the amount of wooden ones.

We can go in reverse to divide the amount of wooden bats to get the amount of metal ones. So 20/2 = 10 is the amount of metal bats.

------------------

A more formal approach is to use the proportion below to solve for x

20/x = 2/1

20*1 = x*2

20 = 2x

2x = 20

2x/2 = 20/2

x = 10

and we get the same answer.

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Given that vector p=i+2j-2k and q=2i-j+2k, find two vectors m and m satisfying the condition;
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Answer:

  • m = j +k
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Step-by-step explanation:

There are <em>an infinite number of possibilities</em>. Any vector whose dot-product with p is zero will be perpendicular to p.

Let m = 0i +1j +ak. Then we require ...

  m·p = 0 = 0×1 +1×2 +a(-2)   ⇒   0 = 2 -2a   ⇒   a = 1

m = 0i +1j +1k

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Let n = 2i +0j +bk

  n·p = 0 = 2×1 +0×2 +b(-2)   ⇒   2 -2b = 0   ⇒   b = 1

n = 2i +0j +1k

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2 years ago
The sides of a rectangle are in the ratio of 4:5. If the width is 28 in., find the length, the perimeter, and the area of this r
nadezda [96]
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the seller is selling a baseball for 0.25 bitcoin. If 1 bitcoin is equal to $6,800, how much does the baseball cost in U.S dolla
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3 years ago
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<h3>5/6 × 3/10</h3>

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<h3>5 × 3/6 × 10</h3>

<em>Perform the</em><em> multiplications </em><em>in the </em><em>previous fraction.</em>

<h3>15/60</h3>

<em>Reduce the fraction </em><em>15/60</em><em> to its</em><em> lowest expression by extracting</em><em> and canceling 15.</em>

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