12/35 is simplified, as you cannot divide it into smaller numbers by a common factor.
I hope this helps!
The percent of the discount is 28 percent off
Answer:
2/5
Step-by-step explanation:
To get the ratio as a pure number, it must be expressed as the quotient of two values that have the same units. For the purpose here, it is convenient to convert both values to units of seconds.
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<h3>units conversion</h3>
The conversion factor between minutes and seconds is ...
1 minute = 60 seconds
Multiplying this equation by 3 gives ...
3 minutes = 180 seconds
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<h3>ratio of interest</h3>
Then the desired ratio is ...
(72 seconds)/(3 minutes) = (72 seconds)/(180 seconds) = 72/180
= (36×2)/(36×5)
= 2/5
The ratio in its simplest form is 2/5.
Answer:
Step-by-step explanation:
We are told that pressure at sea level is 1 atmosphere and increases at a constant rate as depth increases.
We are provided two points as (0,1) and (23,3.3). To find function's formula we will find the line which passes through these points.
First of all we will find slope of this line.
Now we will find equation of this line in slope intercept form.
Our equation for this line will be .
Now let us write this for x as a function of p,
Therefore, our function's formula will be p(x) = 0.1x + 1.
quadratic formula:
x = <u>-b ± √(b² - 4ac)</u>
2a
7x² - x = 7
subtract 7 from both sides:
7x² - x - 7 = 0
plug values into the quadratic formula:
x = <u>-(-1) ± √((-1)²- 4(7)(-7))</u>
2(7)
simplify:
x = <u>1 ± √(197)</u>
14
