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Aleks04 [339]
3 years ago
7

Ratio equivalent to 1:7.

Mathematics
1 answer:
diamong [38]3 years ago
4 0

Answer:

49

Step-by-step explanation:

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Sadie simplified the expression StartRoot 54 a Superscript 7 b cubed EndRoot, where a greater-than-or-equal-to 0, as shown colon
Nadusha1986 [10]

Answer:

Sadie's error is " she made error in step 2 =\sqrt{3^2\times 6\times a^2\times a^5\times b^2\times b}  where a\geqslant 0"

Because she made error in splitting the powers to simplify the square root

<h3>Therefore the correct answer for Sadie's expression is 3ab\sqrt{6ab} where a\geqslant 0</h3>

Step-by-step explanation:

Given that " Sadie simplified the expression StartRoot 54 a Superscript 7 b cubed EndRoot, where a greater-than-or-equal-to 0, "

It can be written as \sqrt{54a^7b^3} where a\geqslant 0

The given expression is \sqrt{54a^7b^3} where a\geqslant 0

To find Sadie's error and explain the correct answer :

Sadie's steps are

\sqrt{54a^7b^3}  where a\geqslant 0

=\sqrt{3^2\times 6\times a^2\times a^5\times b^2\times b}

=3ab\sqrt{6a^5b}

<h3>\sqrt{54a^7b^3}=3ab\sqrt{6a^5b} where a\geqslant 0</h3><h3><u>Now corrected steps are</u></h3>

\sqrt{54a^7b^3}  where a≥0

=\sqrt{(9\times 6)(a^{6+1})(b^{2+1})

=\sqrt{(3^2\times 6)(a^6.a^1)(b^2.b^1) (by using the identity a^{m+n}=a^m.a^n

=\sqrt{3^2\times 6\times ((a^3)^2.a)(b^2.b) (by using the identity a^{mn}=(a^m)^n )

=3ab\sqrt{6ab}

Therefore \sqrt{54a^7b^3}=3ab\sqrt{6ab}  where a\geqslant 0

<h3>The correct answer is 3ab\sqrt{6ab} where a\geqslant 0</h3>

Sadie's error is " she made error in step 2 =\sqrt{3^2\times 6\times a^2\times a^5\times b^2\times b} " where a\geqslant 0

Because she made error in splitting the powers to simplify the square root

<h3>Therefore the correct answer for Sadie's expression is 3ab\sqrt{6ab} where a\geqslant 0</h3>
5 0
3 years ago
Read 2 more answers
Help me please because i dont know
Leto [7]

Answer:

10

Step-by-step explanation:

First seperate the whole numbers and add them together

4 + 5 = 9

Then add the fractions together

1+1/2

2/2

Reduce and simplify

1/1 = 1

Add the whole numbers

9 + 1 = 10

7 0
3 years ago
I’m very confused so can someone help me with this math problem please.
GenaCL600 [577]

Answer:

244

Step-by-step explanation:

34
45 x 57 =
(9

5 0
3 years ago
The measure of an angle is 63°. What is the measure of its complement? A. 27° B. 37° C. 63° D. 117°
Tatiana [17]
90-63=27
A. 27 degrees
7 0
4 years ago
Read 2 more answers
Ceramic tiles sell for $13.08 for a box of 12 tiles. Find the price per tile.
soldier1979 [14.2K]
13.08x12 =156.96. All you have to do is multiply
7 0
4 years ago
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