Alyssa took a math test with 30 questions, and she answered 25 questions correctly in order to get an a, she needs to answer at least 90% of the questions correctly did Alyssa get an a on his math test? Show your work or explain your answer.

No, she did not. She got an 83% which is a B.

Step-by-step explanation:

she got 25 questions right out of 30

that is the same as 25 out of 30

or 25/30

which is the same as 25 points out of the possible 30

so

25 divided by 30

that is the same as 25/30

25/30= 0.83333333

to get the percentage

multiply that number by 100 (it is the same every time)

0.83333 times 100 = 83.333

round, 83

add %

83%

that is less than 90%

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