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Naddik [55]
3 years ago
15

Please express the fraction in the simplest form 8/14

Mathematics
1 answer:
mestny [16]3 years ago
5 0

Expressing a fraction in the simplest form means to simplify common factor in the numerator and the denominator.

To do so, let's find the prime factorization of both:

8=2^3=2\cdot 2\cdot 2,\quad 14=2\cdot 7

So, we can write the fraction as

\dfrac{8}{14}=\dfrac{2\cdot 2\cdot 2}{2\cdot 7}

We can simplify (i.e. cancel) a factor 2 appearing both in the numerator and denominator. We're left with

\dfrac{8}{14}=\dfrac{2\cdot 2}{7}=\dfrac{4}{7}

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3 years ago
Three 24-hour clocks show the time to be 12 noon. One of the clocks is always correct one loses a minute every 24 hours and one
Ganezh [65]

There is one clock that shows the right time so we do not have to worry about the one which is always correct.

Talking about the second clock that loses a minutes in every 24 hours (or in a day), so after 60 days (since it has lost 60 minutes because it is losing 1 minute everyday) it will show 11:00 a.m when it is exactly the noon.

So this way, in total it will take 60\times 24=1440 days before it shows the correct noon.

Now, the third clock gains a minute every 24 hours (or in a day) , after 60 days (when it has gained 60 minutes or a complete hour) it will show 1:00 p.m when it is exactly the noon.

This way, it will take 60\times 24=1440 days (since it has gained a minute everyday) when it shows the correct noon.

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5 0
3 years ago
3.321 divided by 0.07
Taya2010 [7]
47.44 is the answer to this question
7 0
3 years ago
Read 2 more answers
You design a new app for cell phones. Your revenue for x downloads is given by f(x) = 3x Your profit
Snowcat [4.5K]

Answer:

p = 2.7x - 20

p(90) = $223

Step-by-step explanation:

revenue → f(x) = 3x  ,where x is the number of downloads.

the statement “Your profit p is $20 less than 90% of the revenue for x downloads”

<u><em>means</em></u>

p=90\% f\left( x\right)  -20

<u><em>means</em></u>

<u><em></em></u>p=\frac{90}{100} \times f\left( x\right)  -20

<u><em>means</em></u>

p=\frac{9}{10} \times (3x)  -20

<u><em>means</em></u>

p=\frac{9}{10} \times (3x)  -20

<u><em>means</em></u>

p=2.7x -20

………………………………

the profit for 90 downloads :

= p(90)

= 2.7×(90) - 20

= $223

5 0
2 years ago
What are the exact solutions of x^2 = 5x + 2?
aleksandrvk [35]
Move everybody to one side
minus 5x+2 both sides
x^2-5x-2=0
use quadratic formula where
if you have
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}

1x^2-5x-2=0
a=1
b=-5
c=-2

x=\frac{-(-5)+/- \sqrt{(-5)^{2}-4(1)(-2)} }{2(1)}
x=\frac{5+/- \sqrt{25+8} }{2}
x=\frac{5+/- \sqrt{33} }{2}

aprox
x=5.372281323 or -0.3722813233
5 0
3 years ago
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