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Juliette [100K]
1 year ago
7

Justify each step of the solution by stating the property that was used to get to each step.

Mathematics
1 answer:
Olenka [21]1 year ago
4 0
I hope this helps you

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A scale drawing of a rectangular park is 5 inches wide and 7inches long. The actual park is 280 yards long. What is the area of
choli [55]

280÷7=40. 280-80 = 200. 200×280=5,600 Length divided by scale length to find the amount that each inch scale size equals 40 yards per inch. 5 inches equals 200 yards Then multiply length times width. 200x280=5,600 yds  

7 0
1 year ago
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A survey reported that 63.63% of moviegoers prefer action films.This percent represents a repeating decimal.write is as a fracti
Alenkasestr [34]
Let x = 63.63...(by repeating i assume you mean the 63 is repeated as 63.636363...)
therefore 100x = 6363.63..
100x-x =6300 (the recurring bit has been cancelled out which is what you should always aim to do)
99x=6300
x = 6300/99
cancel down
x = 700/11
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2 years ago
6 months ago, Juan used his credit card for a transaction of 128 dollars. The bank charges a rate of interest
gizmo_the_mogwai [7]

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6 0
1 year ago
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
1 year ago
Read 2 more answers
A movie streaming website charges an initial fee of $50, plus $5 for each movie that is streamed. How many movies must be stream
alukav5142 [94]
The average cost of streaming N movies will be
.. average cost = (total cost)/(number of movies)
.. = (50 +5N)/N
.. = (50/N) +5

You want this value to be 7, so you have
.. 7 = (50/N) +5
.. 2 = 50/N
.. N = 50/2 = 25

25 movies must be streamed to get the average cost down to $7.
4 0
1 year ago
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