Answer:
1. 7
2. 15
3. 181
Step-by-step explanation:
Just make sure that you make your denominator a whole number
1. 9.8/1.4....,you multiply by 10...which only removes the comma but it keeps the structure of the question
Always remember that what you do to the denominator...you also do to the numerator
: 9.8/1.4 × 10/10 = 98/14 = 7
2. 40.5/2.7....,you multiply by 10
: 40.5/2.7 × 10/10 = 405/27 = 15
3. 3.62/0.02...., you multiply by 100
: 3.62/0.02 × 100/100 = 362/2 = 181
_Award brainliest if helped!
(-5q * 3) + (4 *3 ) = -15q + 12
The answer is C.
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 45.5 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 45.5 is 100%, so we can write it down as 45.5=100%.
4. We know, that x is 6.81% of the output value, so we can write it down as x=6.81%.
5. Now we have two simple equations:
1) 45.5=100%
2) x=6.81%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
45.5/x=100%/6.81%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 6.81% of 45.5
45.5/x=100/6.81
(45.5/x)*x=(100/6.81)*x - we multiply both sides of the equation by x
45.5=14.684287812041*x - we divide both sides of the equation by (14.684287812041) to get x
45.5/14.684287812041=x
3.09855=x
x=3.09855
now we have:
6.81% of 45.5=3.09855
Hope this helps!
Answer:
Step-by-step explanation:
Given equation is,
x² + (p + 1)x = 5 - 2p
x² + (p + 1)x - (5 - 2p) = 0
x² + (p + 1)x + (2p - 5) = 0
Properties for the roots of a quadratic equation,
1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]
2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]
3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].
Discriminant of the given equation = 
For real roots,
p² + 2p + 1 - 8p + 20 > 0
p² - 6p + 21 > 0
For all real values of 'p', given equation will be greater than zero.
Answer: 96%
Step-by-step explanation:
There are 25 total cyclists and 24 of those finished the race in less than 51 minutes. The question would like this 24 to be expressed as a percentage of 25.
In percentage this would be:
= Number of cyclists who finished in 51 minutes / Total number of cyclists * 100%
= 24 / 25 * 100%
= 96%
