The manager at a movie theater collects data on comedy and action movie attendance to

Anthony borrows $6.50 from a friend to pay for a sandwich and drink at lunch. Then he borrows $3.75 from his sister to pay a lib

Katen [24]

Money borrowed by Anthony from his friend for a sandwich and drink at lunch = $6.50

Money borrowed by Anthony from his sister to pay a library fine = $3.75

Hence, the equation to express Anthony's total debt that day will be =

Let T be the total debt , so the equations becomes,

6.50 + 3.75 = T

8 0

2 years ago

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a bird leaves its nest and travels 20 miles per hour downwind for xx hours. on the return trip, the bird travels 4 miles per hou

Rudik [331]

A. if the return trip is the same then the bird traveled 40miles
b. the time of the trip is x hours + 6/x-4

3 0

2 years ago

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.580 80 repeating as fraction

denis-greek [22]

First off, we'll move the non-repeating part in the decimal to the left-side, by doing a division by a power of 10.

then we'll equate the value to some variable, and move the repeating part over to the left as well.

anyhow, the idea being, we can just use that variable, say "x" for the repeating bit, let's proceed,

$\bf 0.580\overline{80}\implies \boxed{\cfrac{5.80\overline{80}}{10}}\qquad \textit{now, let's say }x= 5.80\overline{80}\\\\
-------------------------------$

$\bf thus\qquad \begin{array}{llll}
100\cdot x&=&580.80\overline{80}\\
&&575+5.80\overline{80}\\
&&575+x
\end{array}\qquad \implies 100x=575+x
\\\\\\
99x=575\implies x=\cfrac{575}{99}\qquad therefore\qquad \boxed{\cfrac{5.80\overline{80}}{10}}\implies \cfrac{\quad \frac{575}{99}\quad }{10}
\\\\\\
\cfrac{\quad \frac{575}{99}\quad }{\frac{10}{1}}\implies \cfrac{575}{99}\cdot \cfrac{1}{10}\implies \cfrac{575}{990}\implies \stackrel{simplified}{\cfrac{115}{198}}$

and you can check that in your calculator.

4 0

2 years ago

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Find the common difference of the arithmetic sequence. 6,9.4,12.8,16.2

Blababa [14]

A sequence is said to be arithmetic if every couple of adjacent elements differ by the same number. If this is the case, that constant number is called the common difference.

This sequence is arithmetic, because the difference between every element and the previous one is