Omari (3 1/2)___________(0)school____________(3 1/4)daisy
3 1/2 + 3 1/4 = 6 + (1/2 + 1/4) = 6 + (2/4 + 1/4) = 6 3/4 blocks apart <==
So let's say quarters = x and dimes = y. You'd then put x + y = 77 (for a total of 77 coins). And your second equation would be .25x + .10y = 12.50 (.25 for the total value a quarter holds and .10 for a total value a dime holds). Then you'd do matrices on a calculator.
(i) speed = distance / time
so time = distance / speed
here we have
time t = 1080/x hours
(ii) return flight time = 1080 / (x + 30) hours
(a) 1080/x - 1080/(x + 30) = 1/2
Multiplying through by the LCD 2x(x + 30) we get:-
1080*2(x + 30) - 2x*1080 = x(x+30)
2160x + 64800 - 2160x = x^2 + 30x
x^2 + 30x - 64800 = 0
(b) factoring; -64800 = 270 * -240 ans 270-240 = 30 so we have
(x + 270)(x - 240) = 0 so x = 240 ( we ignore the negative -270)
So the speed for outward journey is 240 km/hr
(c) time ffor outward flight = 1080 / 240 = 4 1/2 hours
(d) average speed for whole flight = distance / time
Time for outward journey = 4.5 hours and time for return journey = d / v
= 1080 / (240+30) = 4 hours
Therefore the average speed for whole journey = 2160 / 8.5 = 254.1 km/hr
Answer:
The diameter of the wheel is 32 centimeters
Step-by-step explanation:
we know that
The <u><em>intersecting chords theorem</em></u> states that the products of the lengths of the line segments on each chord are equal.
so
In this problem
substitute the given values
solve for x
Remember that
LK goes through the center of the wheel
That means----> LK is a diameter
therefore
The diameter of the wheel is 32 centimeters
