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4vir4ik [10]
3 years ago
8

Convert 0.533333... to a fraction. (only the 3 is repeating) Please show the work!!

Mathematics
1 answer:
amm18123 years ago
6 0
<span>Let x = 0.5333333333 ...

So 100x = 53.3333333333 ...
and 10x = 5.3333333333 ...
---------------------------------
90x = 53 – 5 = 48.

So x = 48/90 = 8/15 after reduction to lowest terms (by factor of 6)
0.3333... = ⅓. and that 0.5 = ½.

So 0.533333... = 0.5 + 0.0333333...0.5 + 0.3333.../10 = 1/2 + (1/3)/10 = 1/2 + 1/30 = 16/30 = 8/15</span>
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Of the total number of spectators at a circus show, 1/4 are men. 2/5 of the remaining number of spectators are women. There are
ch4aika [34]

Answer: There are 198 children at the circus show.

Step-by-step explanation:

Let be "x" the total number of spectators at the circus show and "c" the number of children at the circus show.

Knowing that \frac{1}{4} of the spectators are men, we can find the remaining:

x-\frac{1}{4}x=\frac{3}{4}x

Since \frac{2}{5} of the remaining number of spectaros are women and there are a total of 132 women, we can write the following equation:

(\frac{2}{5})(\frac{3}{4}x)=132

Solving for "x", we get:

x=(132)(\frac{20}{6})\\\\x=440

Therefore, we get that "c" is:

 c=440-\frac{1}{4}(440)-132\\\\c=198

8 0
3 years ago
Based on her recipe, Elena knows that 5 servings of granola have 1,750 calories. 1 if she eats 2 servings of granola, how many c
Minchanka [31]
700 calories


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6 0
3 years ago
Read 2 more answers
A scale on a map shows that 2 inches equals 25 miles how many inches on the map represents 60 miles?? I NEED HELP ASAP
irakobra [83]

Answer:

60 miles is equal to 4.8 inches.

Step-by-step explanation:

To find the answer to this question, we need divide 60 by 25 to find out how much to multiply 2 by so its equal.

60/25=2.4

2*2.4=4.8

60 miles is equal to 4.8 inches.

Hope this helps!

6 0
3 years ago
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jackie drove 7 hours at an average of 60 miles an hour...how far did she travel... pls hurry i need to know soon thx
Furkat [3]

Answer: 420 miles

Step-by-step explanation: She drove 7 hours at an average of 60 mph. You have to do 7 times 60 because each hour she goes 60 miles. 7 multiplied by 60 will give you 420.

4 0
3 years ago
Write 337,060 in expanded form using exponents
Agata [3.3K]

1. expand using place value.

337,060 = 300,000 + 30,000 + 7,000 + 000 + 60 + 0


Next, we will use exponents:

300,000 = 3 * 10^5

30,000 = 3 * 10^4

7,000 = 7 * 10^3

000 = 0 * 10^2

60 = 6 * 10

0 = 0 * 10^0


then after combing these exponents, we can write the number as:

337,060 = 3 * 10^5 + 3 * 10^4 + 7 * 10^3 + 0 * 10^2 + 6 * 10 + 0 * 10^0


Finally, removing the meaningless zeroes, we would end up with:

337,060 = 3 * 10^5 + 3 * 10^4 + 7 * 10^3 + 6 * 10


3 0
3 years ago
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