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2 years ago

What is the greatest perfect square that is a factor of 980?

Mathematics

2 answers:

BaLLatris [955]2 years ago

8 0

Since 980÷2=490÷2=245÷5=49÷7=7÷7=1
980=2×2×5×7×7
the greatest perfect square will be
7*2*7*2
14*14=196

mrs_skeptik [129]2 years ago

7 0

Answer:

The greatest perfect square that is a factor of 980 is 196.

Step-by-step explanation:

To find : What is the greatest perfect square that is a factor of 980?

Solution :

First we factor the number 980.

$980=2\times 2 \times 5\times 7\times 7$

$980=2^2\times 7^2\times 5$

$980=(2\times 7)^2\times 5$

$980=(14)^2\times 5$

$980=196\times 5$

This clearly means that 196 is the required factor.

Therefore, The greatest perfect square that is a factor of 980 is 196.

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Marcie bought a total of 20 used books and cds during a yard sale for a total of 54.50$. of books cost 1.50$ each and cds 5$ eac

melomori [17]

Let numbers of books be 'b' and numbers of CDs be 'c'

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Equation [1] ⇒ $b+c=20$
Equation [2] ⇒ $1.50b+5c=54.50$

We are solving for the number of books and the number of CDs bought

When we have two equations in terms of two different variables; $b$ and $c$ , that we need to solve, then this becomes a simultaneous equation problem.

First, rearrange Equation [1] to make either $b$ or $c$ the subject:
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$b=20-c$

Then we substitute $b=20-c$ into Equation [2]
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$1.50(20-c)+5c=54.50$
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$5c-1.5c=54.50-30$
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Now we know the value of $c$ which is $c=7$ , substitute this value into $b=20-c$ we have $b=20-7=13$

Answer:
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