Answer:
429 beats
Step-by-step explanation:
The number of beats is proportional to the time of the song.
Convert the time to seconds to avoid recurring decimals.
4 minutes 12 seconds = 4×60+12=252 seconds
3 minutes 54 seconds = 4×60−6=234
seconds
Set up a direct proportion using equivalent fractions:
x234=462/252
←beats/←seconds
x=234×462/252
x=429 beats
Given
The equation in the form

Find the factor of the above equation
To proof
factoring the above equation
we get

now sloving the equation we get the value
x² = 5
x² = -100
The factor of the equation is

Hence proved
I’m not sure of the context of your class, but the second choice will give you -21 and the third one will give you -15. The first and last choice are positive, so just between those two
So to do this one, you have to do the problem backwards!
The equation looks like this with everything plugged in:
272.2 = 2(3.14)r
You are looking for r, so start dividing
272.2 = 2(3.14)r
136.1 = (3.14)r
43.3 = r
Therefore the radius is about 43.3 in.
I hope I helped!
Answer:
Sample Response: First, the like terms had to be combined using the lowest common denominator (LCD). Then the subtraction property of equality was used to isolate the variable term. Finally, both sides of the equation were multiplied by the reciprocal of the coefficient to solve for a.
Step-by-step explanation: