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Vinil7 [7]
4 years ago
5

okay so I don't really understand how to change a decimal to a fraction and the teacher never really explained it to us and she

went really fast and like I hate showing my work because I'll always mess up

Mathematics
1 answer:
Fofino [41]4 years ago
5 0

\bf 0.2121\overline{21}\qquad \qquad \qquad x=0.2121\overline{21}\\\\ -------------------------------\\\\ \stackrel{\textit{moving the 21 to the left}}{\stackrel{100\cdot x}{100\cdot 0.2121\overline{21}}}\implies  21.2121\overline{21}\implies  \begin{array}{llll} 21&+&0.2121\overline{21}\\ 21&+&x \end{array} \\\\\\ therefore\qquad \qquad 100x  = 21+x\implies 99x=21 \\\\\\ x=\cfrac{21}{99}\implies x=\stackrel{simplified}{\cfrac{7}{33}}

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Angie's grandma live in Cleveland, Ohio,and is going to drive to Minneapolis, Minnesota, to visit Angie and her family. The two
Anna11 [10]

Answer:

376 miles each day

Step-by-step explanation:

If Angie's grandma wants to drive the same distance each day, she can divide her journey in to two equal halves.

The total distance that Angie's grandma has to drive is 752 miles so each day she may need to drive,

\frac{752}{2}=376 miles

Also, it takes 12 hours to drive 752 miles, so the speed at which Angie's grandma should drive is,

\frac{752}{12}=62.667 m/h

At this speed if she drives 6 hours a day, she may need to drive,

d= s \times t= 62.667 \times 6 = 376 miles in a day.

7 0
3 years ago
How many solutions does the following equation have?<br> |3x + 12| = 18 (5 points)
DedPeter [7]

Answer: 2 solutions.

The given equation breaks down into these two equations

3x+12 = 18 and 3x+12 = -18

Basically 3x+12 equal to plus 18 and minus 18. This is due to the fact that something like |x| = 7 means x = 7 or x = -7, ie those x values are exactly seven units away from zero on the number line.

If you want to solve each equation, then

3x+12 = 18

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3x = 6

x = 6/3

x = 2 is one solution

and

3x+12 = -18

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3x = -30

x = -30/3

x = -10 is the other solution

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3 years ago
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disa [49]

Answer:

i dont know im only getting points for this so i dont

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