All categories

2 years ago

Convert the following repeating Decimals to fractions

Mathematics

1 answer:

arsen [322]2 years ago

4 0

Step-by-step explanation:

1. 0.030303......*100

=3.0303....

$3.0303..... - 0.030303.... = 3$

$\frac{99 \times 0.030303}{99} = \frac{3}{99}$

$0.030303 = \frac{1}{33}$

<h3>This is the explination</h3>

$= \frac{1}{3}$

You might be interested in

A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.24 lb, the mean of all of the weight

Vladimir [108]

Answer:

a) 3.308 lb

b) That difference is 2.91 standard deviations.

c) $Z = 2.91$

d) We have that $Z = 2.91 > 2$ , so the weight of 5.24lb is significantly high.

Step-by-step explanation:

The z-score formula is given by:

$Z = \frac{X - \mu}{\sigma}$

In which: X is the weight we are going to find the z-score of, $\mu$ is the mean of all the weights and $\sigma$ is the standard deviation of all the weights.

The problems gives these following informations:

The highest weight is 5.24 lb

The mean of all the weights is 1.932 lb

The standard deviation of all the weights is 1.135 lb

a. What is the difference between the weight of 5.24 lb and the mean of the weights?

$D = 5.24lb - 1.932lb = 3.308lb$

b. How many standard deviations is that [the difference found in part (a)]?

The difference found in (a) is 3.308lb.

This can be calculated by a simple rule of three.

1 standard deviation - 1.135lb

x standard deviations - 3.308lb

$1.135x = 3.308$

$x = \frac{3.308}{1.135}$

$x = 2.91$

That difference is 2.91 standard deviations.

c. Convert the weight of 5.24 lb to a z score.

We have that:

$X = 5.24, \mu = 1.932$ and $\sigma = 1.135$ . So:

$Z = \frac{X - \mu}{\sigma} = \frac{5.24 - 1.932}{1.135} = 2.91$

3 0

3 years ago

Small scooters cost £80 and large scooters cost £130. A school buys few scooters for the playground for £1000. How many of the s

Sonbull [250]

Answer:

Small scooters = 6

Large scooters = 4

Step-by-step explanation:

Let S represents small scooter and L represents large scooter

The cost of a small scooter is £80

Mathematically, the cost of S number of small scooters is

80S

The cost of a large scooter is £130

Mathematically, the cost of L number of large scooters is

130L

The total amount spent on both scooters is £1000

Mathematically,

80S + 130L = 1000

So we have 2 unknowns and only 1 equation. Therefore, we have use trial and error method .

Trial and Error Method:

80S + 130L = 1000

80S = 1000 - 130L

S = (1000 - 130L)/80

Let’s suppose they bought 1 large scooter

S = (1000 - 130(1))/80

S = 10.875

Number of scooters cannot be in fraction so 1 doesn’t work

Let’s suppose they bought 2 large scooter s

S = (1000 - 130(2))/80

S = 9.25

Number of scooters cannot be in fraction so 2 doesn’t work

Let’s suppose they bought 3 large scooter s

S = (1000 - 130(3))/80

S = 7.625

Number of scooters cannot be in fraction so 3 doesn’t work

Let’s suppose they bought 4 large scooters

S = (1000 - 130(4))/80

S = 6

So that means they bought 6 small scooters and 4 large scooters.

Similarly, other combinations for scooters don’t work since they yield either fractional value or negative value which cannot be correct.

Therefore, the only possible combination of small and large scooters is

6 Small scooters

4 Large scooters

Verification:

80S + 130L = 1000

80(6) + 130(4) = 1000

480 + 520 = 1000

1000 = 1000 (satisfied)

8 0

4 years ago

Which graph represents the function fx) =|x–4?

Vitek1552 [10]

The image below shows the graph f(x) = |x| – 4

<em>Hope this helps! </em>:)

5 0

3 years ago

Solve question<br> 6= x/4 + 2

Oxana [17]

Answer:

x=16

Step-by-step explanation:

6= x/4 + 2

Subtract 2 from both sides.

4= x/4

Multiply 4 to both sides.

x=16

Hope this helps!

7 0

2 years ago

Yall please help meee

madam [21]

Answer-

x=0;y=3

x=1;y=-1

x=2;y=-5

x=3;y=-9

7 0

3 years ago