Answer:
The order is short of 1440 to 2080 oysters
Step-by-step explanation:
Volume of ship = 150cm × 11cm ×23cm = 37950cm^3 = 37950/1000 = 37.95L
I U.S. pint = 0.4732L
37.95L = 37.95/0.4732 = 80 U.S. pint (to the nearest whole number)
Order contains 8 to 12 oysters per U.S. pint
80 U.S. pint contains 8×80 to 12×80 oysters = 640 to 960 oysters
Anticipated count should contain 26 to 38 oysters per U.S. pint
80 U.S. pint should contain 26×80 to 38×80 oysters = 2080 to 3040 oysters
Shortage = (2080 - 640) to (3040 - 960) oysters = 1440 to 2080 oysters
Answer:
Step-by-step explanation:
Remark
The two angles with x in them are = 90 degrees. That's because this is a right angle triangle.
Equation
x^2 + 10x + 115 = 90 Subtract 90 from both sides
Solution for x
x^2 + 10x + 115 - 90 = 0
x^2 + 10x + 25 = 0
Factor
(x + 5)(x + 5) = 0
x = - 5
Angle C
C = 10x + 115
C = 10*-5 + 115
C = -50 + 115
C = 65
<em>Angle A (which you don't need)</em>
x^2 = (-5)^2
x^2 = A = 25
Find BC
Cos(C) = adjacent / hypotenuse
Cos(65) =0.4226
AC = hypotenuse = 65
0.4226 = adjacent / 44 Multiply both sides by 44
44 * 0.4226 = adjacent
adjacent = 18.6 to three places.
Number of students who play both baseball and basketball = 18+9+10-30 = 7
Probability that a student plays both sports = 7/30 = 0.233 = 23.3%
Answer:
m = 12n
Step-by-step explanation:
M is the amount that she would earn at the end of the day. She charges 12 dollars per lawn and then you multiply that by n which is going to be how many lawns she mowed.
