when writing a repeating decimal as a fraction, why does the fraction always have only 9s or 9s and 0s as digits in the denominator

Answers

Answer 1

Answer:

When writing a repeating decimal as a fraction the denominators are not always only 9s or 9s and 0s

The repeating decimal is as a result of the numbers ( i.e. the numerator and denominator values ) and not necessarily because the digits in the denominator are only 9s or 9s and 0s. as seen in the example below.

Example : 5/6 and 5/3 expressed as a decimal

5/6 = 0.83333333

5/3 = 1.66666---

Hence the repeating decimal as a fraction in number is dependent on the values of the numerator and denominator and not on 9s or 9s and 0s

learn more : brainly.com/question/602727

Answer 2

Answer:

thats not necessarily true. 0.8333... is just 5/6 as a decimal. I suppose it depends on the number.

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Is 1/3 more than 2/6

Answers

No they are equal, reduce 2/6 to get 1/3

They are equal to each other

In a survey, a group of students were asked to name their favorite subject. There were 20 students who chose "other" subjects. How many students participated MATH: 30% ENGLISH: 45%

Answers

The total number of students who participated in the survey are 100.

Given to us

The number of students who choose other as their favorite subject = 20 students

Math = 30%

English = 45%

Let the total number of students in the survey be x.

What is the percentage of students who choose other as their favorite subject?

We know that percentage is always 100%, therefore,

Total number of students in the survey = other + Math +English

100% = other + 30% + 45%

100% - 30% - 45% = other

other = 25%

Thus, the percentage of students who choose another as their favorite subject is 25%.

What is the total number of students who participated in the survey?

We know that the number of students who choose English as their favorite subject in the surveys is 20, therefore,

25% of the total number of students = 20

$25\%\ of\ x = 20\n\n0.25 * x = 20\n\nx =(20)/(0.25)\n\nx = 100$

Hence, the total number of students who participated in the survey is 100.

Learn more about Percentage:

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other = 20 students which equals 25 percent, because math and english sum to 75 percent. if 25* 4 is 100, then you can do 20*4 to get 80, which is how many students participated

Can someone help me answer these?

Answers

10.
If it is rolling a six as in a dice, then it would not be the same probability as getting heads on a coin because the probability of rolling a six on a dice wiuld be a 1/6 probability. Flipping a coin and getting heads would be a 1/2 probability.

11.
Donald can do this because on a standard dice, the probability of rolling one number is 1/6. (If it would be the probability of rolling an even number, it would be 3/6, which simplifies to 1/2, in case you didn't know or weren't sure.)

Hope I helped!!

Jackson wants to divide 3/4 pound box of trail mix into small bags. Each of the bags will hold up to 1/12 pound of trail mix. How many bags of trail mix can Jackson fill? How many tenths are there in 4/5?

Answers

the answer to the question

Which always yields a cross section that is the same shape and size as the base of the figure? A.)a triangular pyramid when sliced parallel to its base
B.)a triangular pyramid when sliced perpendicular to its base
C.)a triangular prism when sliced parallel to its base
D.)a triangular prism when sliced perpendicular to its base

Answers

A triangular prism when sliced parallel to its base will always yields a cross section that is the same shape and size as the base of the figure, i.e. option (C).

What is triangle ?

Triangle is a two dimensional shape having three side and sum of all angles is equals to .

We have,

A Triangle

So,

According to question,

Now,

When we will slice triangle,

We get two triangles,

Now,

The two triangles at each end of the triangular prism are parallel and congruent to each other.

i.e.

Their corresponding angles are equal.

Their corresponding sides are equal.

So,

They will have the same cross-section.

Hence, we can say that if a triangular prism when sliced parallel to its base will always yields a cross section that is the same shape and size as the base of the figure, i.e. option (C).

To know more about triangle click here

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the best answer would be c. because the cross section would make the shape and the dimension of the shape. hope this help*)

Could I please get some help I give thanks. and this is worth 18 points!!What is the surface area of a cylinder with a radius of 3 in. and a height of
4 in.? Use 3.14 for p. Show the equation you use as well as all of your work to solve.
Put each step of your work in a new line.

Answers

The formula for the surface area of a cylinder is A=2πrh+2πr².

A=2πrh+2πr²
=2(3.14)(3)(4) + 2(3.14)(3)²
=6.28*3*4 + 6.28*9
=75.36+56.52
=131.88
The surface area of the cylinder is 131.88 in.²

As for the triangular prism, the formula is SA = wh + lw + lh + ls
w=width (2.7)
h=height (1.1)
l=length (4.2)
s=side

Since you don't know the side (which is the hypotenuse of the right triangle, use the Pythagorea formula a² + b² = c²

2.7² + 1.1² = c²(side)
7.29+1.21=8.5
The side is 8.5cm.
Now plug w, h, l, and s into SA = wh + lw + lh + ls

SA= (2.7*1.1)+(4.2*2.7)+(4.2*1.1)+(4.2*8.5)
SA= 2.97+11.34+4.62+35.7
SA=54.63
The surface area of the triangular prism is 54.63cm².

I hope I helped

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