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Aleks [24]
2 years ago
9

Which of the following is not a perfect square? A. 36 B. 45 C. 64 D. 81 ...?

Mathematics
1 answer:
Dmitriy789 [7]2 years ago
5 0
In your question, 45 is not a perfect square.
A perfect square is when you divide or multiply the number by itself.
36 is a perfect square because it's factor is 6 x 6 (6,6).
<span>64 is a perfect square because it's factor is 8 x 8 (8,8).
</span><span>81 is a perfect square because it's factor is 9 x 9 (9,9).</span>
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How do I solve this using the substitution method 3x+2y=9 x-5y=4
Harlamova29_29 [7]

\bf \begin{cases} 3x+2y=9\\ x-5y=4 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{solving the 2nd equation for "y"}}{x-5y = 4\implies x-4-5y=0}\implies x-4=5y\implies \cfrac{x-4}{5}=y \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{substituting on the 1st equation}}{3x+2\left(\cfrac{x-4}{5} \right) = 9}\implies 3x+\cfrac{2(x-4)}{5}=9 \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{5}}{5\left( 3x+\cfrac{2(x-4)}{5} \right)=5(9)}\implies 15x+2(x-4)=45

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8 0
3 years ago
Read 2 more answers
Show how Carly can work out 171/2% of 240 in her head
KATRIN_1 [288]

17 ½ % of 240

First option

Change  the fraction ½ to a decimal. It would be 0.5 ( 1 divided by 2)

½=0.5

You will add the whole number 17 to the result.

17 + 05 = 17.5

Now you will divide by 100 (percent)

17.5 /100  To divide a decimal by 100,  move the decimal point two places to the left.

17.5 /100 = 0.175   times 240

0.175 x 240 = 42

Second option

Change the percent to an improper fraction

17 ½= 35/2 (you have to multiply (2 x 17) plus 1 equals 35 over 2 ( keep the denominator). It will be 35/2.  Put the other number (240) over 100 and multiply.

35/2 x 240/100 = 42

There is another way . You can simplify

Cancel all the zeros that you have and start to reduce.

            6

7       12

35 x 24<span> 0   </span> =  42

2       10 0

 1          5

           1

17 ½ % of 240  =  42

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Answer:

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