Question 1 of 6 Use the guess and check method to solve this problem.
Blue cassettes hold 45 minutes of music. Green cassettes hold 55 minutes
of music. If Niko has 14 cassettes containing 710 minutes of music, how
many are blue, and how many are green?
O
A. 6 blue cassettes and 8 green cassettes
B. 3 blue cassettes and 11 green cassettes
O O O
C. 5 blue cassettes and 9 green cassettes
O D. 4 blue cassettes and 10 green cassettes
Loo

A

Step-by-step explanation:

6 blue cassettes × 45 min = 270 min

8 green cassettes × 55 min = 440 min

270 min + 440 min = 710 min

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