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tresset_1 [31]
3 years ago
11

0.933333 as a fraction show work

Mathematics
2 answers:
Art [367]3 years ago
6 0

Answer:

84/90

Step-by-step explanation:

Let 0.9333....... be x.

10x = 9.3333....... & 100x = 93.33333.......

So,

=> 100x - 10x = 93.33333...... - 9.333333.....

=> 90x = 84

=> x = 84/90

atroni [7]3 years ago
5 0

Answer:

14/15

Step-by-step explanation:

Let x = 0.9333...

Multiply this by 100:

100x = 93.333...

Multiply the first one by 10, as well:

10x = 9.333...

We now have:

100x = 93.333...

10x = 9.333...

Since the right of the decimal point for both numbers includes this repeating 3 part, we can simply subtract the two equations and cancel out the 3s:

100x - 10x = 93.333... - 9.333...

90x = 84

Divide by 90:

x = 84/90 = 14/15

The answer is thus 14/15.

<em>~ an aesthetics lover</em>

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goldenfox [79]
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Sladkaya [172]

Using linear function concepts, it is found that:

a) The initial value is of 3 and the rate of change is of 20.

b) The rate of change means that for <u>each hour, the cost increases by 3 Dhs</u>, while the initial value means that <u>a flat fee of 20 Dhs is paid</u>.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and also can be considered as the initial value.

In this problem, the function that gives the charge C for renting a bicycle for h hours is:

C(h) = 3h + 20

Item a:

Comparing to the standard function, we have that:

  • The initial value is of 3 and the rate of change is of 20.

Item b:

The rate of change means that for <u>each hour, the cost increases by 3 Dhs</u>, while the initial value means that <u>a flat fee of 20 Dhs is paid</u>.

You can learn more about linear function concepts at brainly.com/question/24808124

6 0
3 years ago
what is the slope-intercept form of the equation of a line that passes through (5, -4) and has a slope of 3/4?
Troyanec [42]
Y = mx + b
slope(m) = 3/4
(5,-4)...x = 5 and y = -4
now we sub
-4 = 3/4(5) + b
-4 = 15/4 + b
-4 - 15/4 = b
-16/4 - 15/4 = b
- 31/4 = b....or - 7 3/4 = b

so ur equation is : y = 3/4x + (-31/4) or y = 3/4x - 31/4
3 0
3 years ago
When will the equation p(b)=520(0.88)^b have a value less than 100?
yulyashka [42]

Answer:

The given equation will have value less than 100 whenever the value of b is greater than 12.89

Step-by-step explanation:

For the given equation, p(b) = 520 × 0.88^{b} to have a value less than 100 we can establish inequality as:

                     p(b) < 100

         or,  520 × 0.88^{b} < 100

         or, \frac{520}{520} × 0.88^{b} < \frac{100}{520}

         or, 0.88^{b} < \frac{1}{5.2}

         or, ㏒ ( 0.88^{b} ) < ㏒  (\frac{1}{5.2})

         or, b× ㏒ 0.88 < ㏒  (\frac{1}{5.2})

         or,  \frac{log (\frac{1}{5.2}) }{log (0.88)}   <  b

         or, 12.89 < b

Hence for the equation to have value less than 100, b must be greater than 12.89.

3 0
4 years ago
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