3 years ago

Estimate the product of 67 an 73 round each number to the neares tenes

Mathematics

2 answers:

julsineya [31]3 years ago

7 0

Answer:0

Step-by-step explanation: when you divied 67/73=0.917 so when you round to the neares tenes place you get o

vampirchik [111]3 years ago

6 0

Answer:

4900

Step-by-step explanation:

73*67

70*70

7*7(10^2)

49(100)

4900

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2. Suppose (220)_b and (251)_b are the squares of consecutive integers. Determine b.

Andrei [34K]

Let $x$ and $x+1$ be these consecutive integers. For some base $b$ , we can write

$(x_{10})^2=220_b=2b^2+2b$

$((x+1)_{10})^2=251_b=2b^2+5b+1$

$x^2=2b^2+2b$

then

$x^2+1=2b^2+2b+1$

Now,

$x^2+2x+1=2b^2+5b+1$

$2x+2b^2+2b+1=2b^2+5b+1$

$\implies2x=3b$

Squaring both sides gives

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and so

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$\implies8b^2+8b=9b^2$

$\implies b^2-8b=0\implies\boxed{b=8}$

(because the base has to be non-zero)

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