<p>please help, your kindness is greatly appreciate. this is the 5th time i had to retype all of these problems because im at the library and the window kept closing lol. if you could help with even 1 problem that would be GREAT!</p>
<h1>1a flock of geese on a pond wer being observed continously. at 1 PM 1/5 of the geese flew away. at 2 PM 1/8 of the geese that remained flew away. at 3pm 3 times as many geese as had flown away at 1 PM flew away leaving 28 geese on the pond. how many geese were in the original flock?</h1>
<p>answer is 280.</p>
<h1>2the tip of a blade of an electric fan is 1.5 ft from the axis of rotation. if the fan spins at a full rate of 1760 revolutions per minute how many miles will a point at the tip of a blade travel in one hour? 1 mile =5280 ft</h1>
<p>answer is 60pi</p>
<h1>3which of the following gives the # of revolutions that a tire with a diameter of x meter swill make in traveling a distance of y km without slipping</h1>
<p>1 km= 1000 m</p>
<p>answer is 1000y/pi X</p>
<h1>4how many solid wood cubes each with a total surface area of 96 square cm can be cut from a solid wood cube with a total surface area of 2400 sq cm if no wood is lost in the cutting</h1>
<p>answer is 125</p>
<h1>5points a b c d lie on a line in that order. if ad/ac =2/1 and ad/ab= 3/1 what is the value of ac/bd?</h1>
<p>answer is 3/4</p>
<h1>6for x > or equal to -1, [x] is defined by [x]= square root of x + 1. which of the following is equal to [15] - [8]</h1>
<p>answer is 0 i keep getting 1.</p>
<h1>7 the radius of a unicycle wheel is 1ft when the unicycle travels continously in one direction for 500 ft the wheel makes v revolutions. what is the best approximation for of v</h1>
<p>I solved #2 by drawing a quick sketch then obviously some mathematical thinking. They tell us that the tip is 1.5 ft from the axis of revolution. This signifies that the radius of the circle (since it is rotating) is 1.5. They are asknig for the distance covered by the tip so we need the circumference. The area for circumference is Diameter * Pi, so 2*(1.5)Pi = 3Pi. Then, we know that it rotates 1760 times per minute, and there are 60 minutes in an hour. 1760 * 60 * 3Pi. We divide this result by 5280 because they want the result in miles
60pi.</p>
<p>R = Number of revolutions
C = Circumference
x = Diameter
y = Distance</p>
<p>Formulas:</p>
<p>C = (Pi)(d)
y = CR</p>
<p>Solution (With Unit Analysis):
(y km) = (RC m)
R = (y km) / (C m)
R = (y km) / (Pi)(x m)
R = (y km)(1000 m/km) / (Pi)(x m)
R = (1000y m) / (Pi)(x m)
R = (1000y) / (Pi)(x)</p>
<p>I will arbitrarily label the cube with a surface area of 2400 cm^2 as Cube 1 and one of the cubes with surface areas of 96 cm^2 as Cube 2.</p>
<p>Notation:</p>
<p>SA<em>c1 = Surface Area of Cube 1 (With a Total Square Surface Area of 2400 cm^2)
SA</em>c2 = Surface Area of Cube 2 (With a Total Square Surface Area of 96 cm^2)
V<em>c1 = Volume of a Cube 1 (With a Total Square Surface Area of 2400 cm^2)
V</em>c2 = Volume of a Cube 2 (With a Total Square Surface Area of 96 cm^2)
s<em>c1 = Side of Cube 1 (With a Total Square Surface Area of 2400 cm^2)
s</em>c2 = Side of Cube 2 (With a Total Square Surface Area of 96 cm^2)
N = Number of Cubes</p>
<p>Note: We discarded the negative solution because, in the context of physical objects and everyday experiences, it makes no sense for the length a side to be negative.</p>
<p>N = (V<em>c1 cm^3) / (V</em>c2 cm^3)
N = (V<em>c1) / (V</em>c2)
N = (s<em>1)^3 / (s</em>2)^3
N = (20)^3 / (4)^3
N = 8000 / 64
N = 125</p>
<p>how many solid wood cubes each with a total surface area of 96 square cm can be cut from a solid wood cube with a total surface area of 2400 sq cm if no wood is lost in the cutting</p>
<p>Note: We discarded the negative solution because, in the context of physical objects and everyday experiences, it makes no sense for the length a side to be negative.</p>
<p>N = (V<em>c1 cm^3) / (V</em>c2 cm^3)
N = (V<em>c1) / (V</em>c2)
N = (s<em>c1)^3 / (s</em>c2)^3
N = (20)^3 / (4)^3
N = 8000 / 64
N = 125</p>
<p>the radius of a unicycle wheel is 1ft when the unicycle travels continously in one direction for 500 ft the wheel makes v revolutions. what is the best approximation for of v
answer is 80</p>