100 points / i suck at this Alison runs a mile in 5 minutes and 50 seconds. Elizabeth runs a mile in 6 minutes and 40 seconds. What is the ratio of Alison's time to Elizabeth's time?

a) 7:8
b) 5.5:6.4
c) 55:64
d) 8:7

7:8

Step-by-step explanation:

First, convert their times to common units. You'll want to put it in seconds:

5 minutes and 50 seconds = 350 seconds

- multiply 5 minutes by 60 to get it into seconds and then add the other 50 seconds to it

- for Elizabeth's time, multiply 6 by 60 seconds and add 40 to it

To get the ratio of their times, divide Alison's time by Elizabeth's time:

350 ÷ 400 = 7:8

a) 7:8

Step-by-step explanation:

Alison: 5 minutes and 50 seconds = 355 seconds

Elizabeth: 6 minutes and 40 seconds = 400 seconds

355:400, reduces to 71:80 or 7:8

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752