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4 years ago

Please simplify this

Mathematics

1 answer:

valina [46]4 years ago

5 0

Answer: yz square root 3xz

Explanation:
1/5 square root 75xy^2z^3
= 1/5 sqrt 3 • 25xy^2z^2•z
= 1/5 x 5 x y x z sqrt 3xz
1 x y x z sqrt 3xz
= yz sqrt 3xz

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Step-by-step explanation:

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3 years ago

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Bank robber holds up a bank and speeds off at 71 mph. Police start chasing him 10 minutes later going 78 mph. How long will it t

alexira [117]

Answer:

It takes 1.68 hours to catch up to them.

Step-by-step explanation:

The speed of robber = 71 mph

The speed of police = 78 mph

The police start 10 minutes later

by that time robber would have travelled

$distance = \frac{speed}{time}$

10 minutes =0.166667 hours

then the distance = 11.8 mph

Let them meet at distance x from the bank.

time taken by police to reach x , time = $\frac{ x}{78}$ ----------------------(1)

time taken by robber in the same time = $\frac{x-11.8}{71}$ ---------------(2)

Equating (1) and (2)

$\frac{x}{78} =\frac{ x-11.8}{71}$

$71 x = 78(x - 11.8)$

71x =78x - 920.4

920.4 = 78x - 71x

920.4 = 7x

x = 131.48

The distance where they catch up with the robber from the bank is 131.48 miles

speed of police = 78 mph

distance = 131.48 miles

time they catch up = $\frac{131.48}{78}$

= 1.68 hours

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3 years ago