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3 years ago

Converting repeating decimals to a fraction

Mathematics

1 answer:

Goshia [24]3 years ago

3 0

Step-by-step explanation:

Step 1:

Let x equal the repeating decimal you are trying to convert to a fraction.

Step 2:

Examine the repeating decimal to find the repeating digit(s).

Step 3:

Place the repeating digit(s) to the left of the decimal point.

Step 4:

Place the repeating digit(s) to the right of the decimal point.

Step 5:

Using the two equations you found in step 3 and step 4, subtract the left sides of the two equations. Then, subtract the right sides of the two equations

As you subtract, just make sure that the difference is positive for both sides.

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A team of bakers can roll and form 5 dozen pretzels in 9 minutes. How many pretzels can this team form in 1 hour?

vodka [1.7K]

Answer 400

Step-by-step explanation: 1 hours = 60 min

60 min divided by 9 = 6.66666667

6.66666667 * 5 dozen pretzels/ 60 pretzel = 400

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3 years ago

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Find four numbers that form a geometric progression such that the third term is greater than the first by 12 and the fourth is g

olchik [2.2K]

If $x$ is the first number in the progression, and $r$ is the common ratio between consecutive terms, then the first four terms in the progression are

$\{x,xr,xr^2,xr^3\}$

We want to have

$\begin{cases}xr^2-x=12\\xr^3-xr=36\end{cases}$

In the second equation, we have

$xr^3-xr=xr(r^2-1)=36$

and in the first, we have

$xr^2-x=x(r^2-1)=12$

Substituting this into the second equation, we find

$xr(r^2-1)=12r=36\implies r=3$

So now we have

$\begin{cases}9x-x=12\\27x-3x=36\end{cases}\implies x=\dfrac32$

Then the four numbers are

$\left\{\dfrac32,\dfrac92,\dfrac{27}2,\dfrac{81}2\right\}$

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2 years ago

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3 years ago

ANYONE ABLE TO HELP??? ASAP!!!!

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3 years ago

For each scenario below, choose the graph that gives the best representation.

kvv77 [185]

The graph that gives the best representation of the scenario is: option 1 (A).

<h3>Graph of Distance vs Time</h3>

A typical graph of distance vs time shows the distance covered as against time.
If the graph shows a line that slopes upwards, it implies movement from a spot, if it shows an horizontal line, it implies a rest.

The first graph is the correct one that best represents the scenario because it starts at the point of origin (0, 0), which means the bird covers not distance at zero time when it is still at its nest.

As the bird flies, distance increases with time till it stopped at a point to eat.. This is represented by horizontal line, meaning time increased but distance from the nest remains the same.

The upward slope from the spot represents the further distance the bird is flying in search for more food.

Therefore, the graph that gives the best representation of the scenario is: option 1 (A).

Learn more about distance vs time graph on:

brainly.com/question/18655388

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2 years ago