Lola needs to sign 96 invitations. using a stopwatch that measures time to tenths of a second, it takes lola 5.3 seconds to sign her full name. going by the accuracy of the stopwatch, which is the most accurate determination for the number of minutes lola needs to sign all 96 invitations? a) 3.3 minutes b) 3.3125 minutes c) 8.48 minutes d) 8.5 minutes

you would model the equation like such

Total minutes = number of invitations X time to do one

x = 96 x 5.3

It takes her 508.8 seconds to do them all however we want minutes

508.8/60 (60 because sixty seconds in a minute)

x = 8.48 or c

Lola needs to sign 96 invitations (or 96 full-names) It takes Lola 5.3 seconds to sign her full name.

To solve, multiply 96 with 5.3

96 x 5.3 = 508.8

It takes Lola 508.8 seconds to sign 96 invitations.

Note that there is 60 seconds in 1 minute. Divide 508.8 with 60

508.8/60 = 8.48

c) 8.48 minutes is your best answer

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x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)