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77julia77 [94]
3 years ago
11

Your Turn: Using the figure, a

Mathematics
1 answer:
igomit [66]3 years ago
7 0
To change a/x=d/a to <span>a²=cd, you need to take the following steps:
 
 1. Pass the "a" to the left side and the "c" to the right side:
 
 (a)(a)/c=d
 (a)(a)=cd
 
 2. Finally, multiply "a" by "a": 
 
 a</span>²=cd   (By definition, when you have to multiply exponents with the same base, you should add the exponents. As you can see, both bases "a" have exponents 1, so, when you multiply them, you have to rewrite the base and then add these exponents: a^1+1=a²).<span>
</span>
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Isabella's rain gauge showed 3 centimeters/cra) last Tuesday. This Tuesday,
Llana [10]
<h3><u>Question:</u></h3>

Isabella’s rain gauge showed 3 4/5 centimeters (cm) last Tuesday. This Tuesday,  the rain gauge showed 5 7/10  centimeters. How many more centimeters of rain  fell during the week?

A 9 1/2cm B 8 1/2cm c 2 4/5cm D 1 9/10 cm​

<h3><u>Answer:</u></h3>

Option D

1\frac{9}{10}  more centimeters of rain  fell during this week than last week

<h3><u>Solution:</u></h3>

From given,

Last\ tuesday = 3\frac{4}{5}\ cm\\\\Convert\ to\ improper\ fraction\\\\Last\ tuesday = \frac{5 \times 3 + 4}{5} = \frac{19}{5}\ cm

Also given that,

This\ tuesday = 5\frac{7}{10}\ cm = \frac{10 \times 5 + 7}{10} = \frac{57}{10}\ cm

<em><u>How many more centimeters of rain  fell during the week?</u></em>

This\ tuesday - last\ tuesday = \frac{57}{10} - \frac{19}{5}\\\\This\ tuesday - last\ tuesday = \frac{57}{10} - \frac{19 \times 2}{5 \times 2}\\\\This\ tuesday - last\ tuesday = \frac{57-38}{10}\\\\This\ tuesday - last\ tuesday = \frac{19}{10}\\\\Converting\ to\ mixed\ fraction\\\\\rightarrow \frac{19}{10} = 1\frac{9}{10}

Thus 1\frac{9}{10}  more centimeters of rain  fell during this week than last week

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