Oscar is landscaping his yard. He is putting mulch in the flower beds to help minimize weeds. He has 4 1/4 bags of mulch in his shed to use. Each bag of mulch will cover 70.8 ft.2. If Oscar uses all of the mulch that he has, how many sq. ft. will it cover? a 75.05 ft.2 b 282 ft.2 c 300.9 ft2 d 284 ft.2

c) 300.9 ft²

Step-by-step explanation:

He has 4 1/4 bags of mulch in his shed to use. Each bag of mulch will cover 70.8 ft².

Hence:

1 bag of mulch = 70.8ft²

4 1/4 bags of mulch = x ft²

Cross Multiply

1 bag × x ft² = 4 1/4 × 70.8

x ft² = 4 1/4 × 70.8/1

x = 300.9 ft²

Option c is correct.

step-by-step explanation:

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