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worty [1.4K]
3 years ago
9

Does the decimal equivalent of p/q, where p and q are positive integers, contain only a finite number of nonzero digits?

Mathematics
1 answer:
Aleks [24]3 years ago
4 0

A/B is a reduced fraction which can be represented as a terminating decimal if and only b is of the form 2^n5^n where m and n are non negative integers. For example: 7/250, the terminating decimal here is 0.028 as 250 as the denominator equals to 2*5^2.

According to the above, we must know whether the denominator have only 2-s and or 5-s as the prime factors. So,

Q = 8 = 2 ^3 = hence the denominator has only 2 prime factors. Fraction P/Q will be termed as terminated decimal which is sufficient.

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10+6*(75*50/100)-4/8
sergiy2304 [10]

First, do what is in the parentheses. 75 times 50 is 3,750. Divide it by 100 to get 37.5. 10 + 6(37.5) - 1/2. Do the multiplication to get 10 + 225 - 1/2. Now you get 235 - 1/2. Solve to get 234 1/2.



7 0
3 years ago
Read 2 more answers
If a celebrity charges $0.125 million for a 5 second commercial, how much will he be paid for a 45-second appearance?
Nitella [24]
I got a. I multiplied 0.125 by 45 and got 5.625. I then divided 5.625 by five an got 1.125. I'm not really sure about my answer, so I did it another way. I divided .125 by five and got .025 so I multiplied that by 45 and got 1.125. I multiplied 1.125 by 1000 and got A.
4 0
3 years ago
There are 92 students in a chemistry class. The instructor must choose two students at random. Students in a Chemistry Class Aca
Sergio039 [100]

Answer:

0.0108 = 1.08% probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability that a sophomore non-Chemistry major

Out of 92 students, 9 are non-chemistry major sophomores. So

P(A) = \frac{9}{92}

Then a junior non-Chemistry major are chosen at random.

Now, there are 91 students(1 has been chosen), of which 10 are non-chemistry major juniors. So

P(B) = \frac{10}{91}

What is the probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random

P = P(A)*P(B) = \frac{9}{92}*\frac{10}{91} = \frac{9*10}{92*91} = 0.0108

0.0108 = 1.08% probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random.

8 0
3 years ago
If marie wants to decorate a gift box with ribbon. She measures three pieces that she has with a ruler.They are 32. Centimeters,
Misha Larkins [42]

Answer: No, she does not have enough.

Step-by-step explanation:

1. You have the following information given in the problem above:

- The measures of the three pieces are: 32 centimeters, 41.19 centimeters and 57.8 centimeters long.

- She need 200 centimeters of ribbon for the box.

2. Therefore, you must add the measures given in the problem to know if Marie has enough ribbon to decorate the gift box. Then:

32cm+41.19cm+57.8cm=130.99cm

3. As you can see:

 130.99 cm<200 cm

Therefore, she does not have enough ribbon.

5 0
3 years ago
Identify the like terms and terms <br> 1.4c + 11.4 - 2c - 7.3c =
Pavel [41]
Like terms:
1.4c, -2c, -7.3c
11.4 has no like terms


3 0
3 years ago
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