Do O PI11110100 2. Use the prime factorizations of 72 and 120 to find their LCM.

1 answer:

8 0

$\bf \begin{cases} 72=&\underline{2\cdot 2\cdot 2\cdot 3}\cdot 3\\ 120=&\underline{2\cdot 2\cdot 2\cdot 3}\cdot 5 \end{cases}\qquad \qquad \stackrel{LCM}{2\cdot 2\cdot 2\cdot 3}\implies 24$

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Chana and Josiah started skating at the same time in the same direction, but Josiah had a head start 10 meters past the starting

kodGreya [7K]

Josiah and Chana travel at constant and different speeds.

The point F indicates that after 25 seconds Josiah is 60 meters from the starting line but behind Chana

<h3>How can the what the the point F represent be known?</h3>

Josiah's head start = 10 meters from the start

Josiah's speed = 2 m/s

Chana's speed = 3 m/s

Expressing the distance traveled as an equation, we have;

D = d + s × t

Where;

D = The distance covered

d = The distance from the starting line the runner starts

s = The speed of the runner

t = The time spent running

For Josiah, we have;

D = 10 + 2•t (line a)

For Chana, we have;

D = 0 + 3•t = 3•t (line b)

The above equations are straight line equations.

The point F is on line a, which shows Josiah distance after 25 seconds which is 60 meters. The corresponding point on line b, Chana's distance after 25 minutes is 75 meters.

Therefore;