Emilio spent half of his savings to buy a video game. The video game cost $63.75. How much was Emilio’s savings? Define a variable and write an equation for this real-world problem. 6. In Austin, Texas, the State Capitol Building has a height of 308 feet. This is 274.4 feet higher than the Alamo located in San Antonio, Texas. What is the height of the Alamo? Define a variable and write an equation for this real-world problem.

1) Emilio's total saving - $127.5

2) 33.6ft

Step-by-step explanation:

1) $63.75 x 2 = $127.5

2) 308ft - 274.4ft = 33.6ft

s

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