Answer:
b = 20
Step-by-step explanation:
The computation is shown below
Given that
24+ 6b > 138
where
b = 10
b = 15
b = 20
So if we take b = 10
= 24 + 6(10)
= 24 + 60
= 84
B = 15
= 24 + 6(15)
= 24 + 90
= 114
B = 20
= 24 + 6 (20)
= 24 + 120
= 144
So if we take b = 20 the inequality would be true
Answer:

Step-by-step explanation:
Given


So:
--- May
--- June
Required
Express as a function
Start by calculating the slope (m)



Simplify

The equation is:



Take LCM

Answer:
50
Step-by-step explanation:
180-(x+80) + 180-(2x+20) = 180 -70
180-x-80 + 180-2x-20 = 110
100-x + 160-2x = 110
260 - 3x = 110
-3x = -150
x = <u>50</u>
Answer:
100 beats per minute
Step-by-step explanation:
If it takes 28.8 secs for the piano to play 48 beats, then it would take 60 secs (1 minute) to play x number of beats.
To find the value of x, which is the number of beats the piano makes per minute, let's set the proportion as shown below:
28.8 secs = 48 beats
60 secs = x beats
Cross multiply
28.8*x = 60*48
28.8x = 2,880
Divide both sides by 28.8
x = 2,880/28.8
x = 100
✅Thus, if the Piano plays 48 beats in 28.8 secs, therefore, the tempo of the piano in beats per minute would be 100 BPM
Answer:
60°
Step-by-step explanation:
x + 160° + 140° = 360°
x + 300° = 360°
x = 360° - 300°
x = 60°