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2 years ago

5 positive integers are arranged in ascending order, as follows:

1 answer:

4 0

The answer is: 10.

Explanation: The numbers are in order by the median/lowest to highest so in that case X wouldn't be 7 because the X would have been next to the 7 not on the other side of the 10.

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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

$4x^2=9b^2$

and so

$4(2b^2+2b)=9b^2$

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

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

(because the base has to be non-zero)

3 0

3 years ago

3/5 and 2/5<br> what is the common denomenator?

amid [387]

Answer:

5 is their common denominator

Step-by-step explanation:

A common denominator is when both denominators are the same.

5 0

2 years ago

Read 2 more answers

What is the surface area of this prism? A. 3240 m2 B. 6480 m2 C. 1656 m2 D. 3312 m2

NeX [460]

Well take the bottom and in this case its 18 and 30 so 18 x 30 = 540 then you do the two 15's times 30 and thats 450 times the 2 is 900 so 540+900+216 = so thats 1656 m 2 :)))))))))))

6 0

2 years ago

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Please help<br> I’m terrible at math scale factors

zysi [14]

First one is false, second one is true.

6 0

2 years ago

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Help me out plzz and I'll do the same

elixir [45]

I think it's -2 to -1 is the right answer maybe

but i hope it helps u !!

6 0

2 years ago