Average reading score is given by the expression,
y = 0.153x + 255.4
Here, x in the number of years past 1970.
To find the year in which the average reading score is 259.378, substitute the value of 'y' in the given expression.
y = 0.153x + 255.4
259.378 = 0.153(x) + 255.4
0.153x = 259.378 - 255.4
0.153x = 3.978
x = 
x = 26
That means given average reading score 259.378 will be 26 years after 1970.
Therefore, 1996 is the year in which the average reading score will be 259.378.
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Answer:
Number of points scored in the first half of the match is 24 points.
Step-by-step explanation:
Total point scored in the volleyball game = 32
Let us assume the points scored in the first half = m
and the point scored on the second half = 2/8 of (Total points)
= 
⇒ The number of points s cored in the second - half = 8 points
Now, Points in FIRST half+ Points in SECOND half= Total Points
⇒ m+ 8 = 32
or, m = 32 - 8 = 24
⇒ m = 24
Hence, the number of points scored in the first half is 24 points.
Given that diameter of the base of the cylinder = 8 ft
Given that height of the cylinder = 6 ft
We have to find the surface area of the cylinder in terms of pi.
So we need to use formula of surface area of the cylinder which is

where h= height = 6
r= radius = diameter/2 = 8/2 = 4
Now plug these values into above formula




Hence final answer is
square ft
Answer:
35/3x +200 = # of calories
Step-by-step explanation:
35/3 = calories burnt in 1 minute
x = minutes exercised for
add 200 to account for calories eaten
35/3x +200 = y
Total of 90 fish:
c + p = 90
Charlie gave 1/4 c to Peter. Now
Charlie has c - (1/4) c
Peter has p + (1/4) c
Peter gave 2/5 of his to Charlie. Now
Peter has p + (1/4) c - 2/5( p + (1/4) c )
Charlie has c - (1/4) c + 2/5( p + (1/4) c )
And then they had equal number:
c - (1/4) c + 2/5( p + (1/4) c ) = p + (1/4) c - 2/5( p + (1/4) c )
Let's do the easy subtractions then multiply by 20 to clear the fractions,
(3/4) c + 2/5( p + (1/4) c ) = 3/5( p + (1/4) c )
15c + 8p + 2c = 12p + 3c
14c = 4p
7c = 2p
c + p = 90
2c + 2p = 180
2c + 7c = 180
9c = 180
c = 20
p = 70
Answer: Charlie started with 20, Peter with 70
Check:
Initially C:20, P:70
1/4(20)=5 to P
C:15, P:75
(2/5) 75 = 30 to C
C:45, P45
Good