Alice and Dave left school at the same time walking in opposite directions. Alice walked at an average speed of 280 ft/min and Dave walked at an average speed of 320 ft/min. b How far apart were they in 5 minutes? They were feet far apart in 5 minute.

They were 3000 feet far apart in 5 minute

Step-by-step explanation:

After leaving school, Alice walked at an average speed of 280 ft/min.

Distance = speed × time

Distance covered by Alice after 5 minutes is

280 × 5 = 1400 feet

Dave walked at an average speed of 320 ft/min. Distance covered by Dave after 5 minutes is

320 × 5 = 1600 feet

Total distance covered by Alice and Dave after 5 minutes is

1400 + 1600 = 3000 feet

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

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step-by-step explanation:

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