Step-by-step explanation:
Area of a circle is pi times r-square
So...
Do the rest yourself, my calculator and pen are not handy.Sorry
Piano Tempo
What is the tempo, in beats per minute, of the piano?
beats per minute
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
present age of charlie is 45 years
present age of priya is 25 years
Step-by-step explanation:
Let start from five years ago
Let at that age of Priya was x years
given that
Charlie was twice older than Priya
age of Charlie = 2x
_____________________________________________
present age of charlie = age 5 years ago + 5 years = 2x + 5
present age of priya = age of priya 5 years ago + 5 years x + 5 = x + 5
_________________________________________________
age of charlie 3 years from now = present age of charlie + 3 years
age of charlie 3 years from now =2x + 5 + 3 = 2x + 8
age of priya 3 years from now = present age of priya + 3 years
age of priya 3 years from now =x + 5 + 3 = x + 8
Given that
in 3 years the sum of their ages will be 76
thus
sum of their ages in 3 years from now = x + 8 + 2x + 8 = 76
=> 3x + 16 = 76
=> 3x = 76-16 = 60
=> x = 60/3 = 20
Thus,
present age of charlie = 2x + 5 = 2*20 + 5 = 45 years
present age of priya = x + 5 = 20 + 5 = 25 years
thank you
Answer:
a) 3p + 3q
b) 3a^2 + 4
c) -4ab + 24a
d) 3 (x - 2)
e) 3x + 7y
f) (x + 1) (2x + 3)
g) x^2 + x - 6
h) 6x^2 - 31x + 18
i) -5^2 + 6x +2y + 6
j) 2x^3 + 11x^2 + 17x + 6.
I answered question 1
Hope that helps. x