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2 years ago

10

Andrew is searching for a cup and discovers that he has 20 plates for every 5 pairs of cups. if he has 40 plates, how many pairs

of cups does he have?

1 answer:

irakobra [83]2 years ago

3 0

You get 40 by multiplying 20 by 2 so all you have to do is multiply 5 by 2 also and you get 10. So the answer is 10 pairs of cups.

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3 years ago

If ab = 8 and a^2+b^2=16, then what is the value of (a+b)^2?

aksik [14]

$ab = 8$ & $a^{2} + b^{2} = 16$ so , $( a+b )^{2} = 32$ .

<u>Step-by-step explanation:</u>

Here we have , ab= 8 & a^2+b^2=16 i.e. $ab = 8$ and $a^{2} + b^{2} = 16$ .

We need to find value of (a+b)^2 i.e. $(a+b)^{2}$ :

It's and identity and we know that $( a+b )^{2} = a^{2} +b^{2} +2ab$

⇒ $( a+b )^{2} = a^{2} +b^{2} +2ab$

⇒ $( a+b )^{2} = (a^{2} +b^{2}) +2(ab)$

⇒ $( a+b )^{2} = (16) +2(8)$

⇒ $( a+b )^{2} = (16) +(16)$

⇒ $( a+b )^{2} = 32$

∴ $ab = 8$ & $a^{2} + b^{2} = 16$ so , $( a+b )^{2} = 32$ .

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2 years ago

A house costs $600 more than twelve times the lot on which it was built. If the lot cost x dollars, what did the house cost?

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3 years ago