X - the score he must get
He must get at least 92 points.
The first one YES and the last one NO!
The circumference, C, of a given circle may be calculated through the equation,
C = 2πr
where r is the radius.
Substituting the known values from the given in this item,
C = 2(π)(5 in)
<em>C = 10π in</em>
Thus, the answer is this item is the second choice.
Answer:
6,240 cm
Step-by-step explanation:
8 cm x 5 cm x 13 cm x 12 cm = 6,240 cm
With amounts measured in gallons, let
x = amount of 65% antifreeze
y = amount of 90% antifreeze
1 gal of the 65% brand contains 0.65 gal of pure antifreeze; x gal would contain 0.65x gal. Similarly, y gal of the 90% brand contains 0.90y gal of pure antifreeze.
To obtain 120 gal of 80% antifreeze solution (which contains 0.80•120 = 96 gal of pure antifreeze), we must have
x + y = 120 … … … … … [total volume of antifreeze solution]
0.65x + 0.90y = 96 … [total volume of pure antifreeze]
Solve the first equation for y :
y = 120 - x
Substitute this into the second equation and solve for x :
0.65x + 0.90 (120 - x) = 96
0.65x + 108 - 0.90x = 96
0.25x = 12
x = 48
Solve for y :
y = 120 - 48
y = 72
