Answer:
6
Step-by-step explanation:
F you just want to see the really short way, just skip down to AAAAAAAAAAAA
so, here is the long explanation
exponential properties

don't forget pemdas
2x^2=2(x^2)
so

=

AAAAAAAAAAAAAAAAAAAAAAAA
so we see
the original equatio is

remember

so we can seperate the constants

we know that the placeholders cannot affet the position of the constants unless they are grouped together which they are not
terfor the answer must have 2/3 in it
the only one that hsa that is A
ANSWER IS A
In triangle ABC,
AC = 12/ (sin30) = 12 / (1/2) = 24
DC = 24-x
DB = DC tan 30 = (24-x) tan30 <span>=(24−x)/</span><span>√3
</span>
In triangle ADB using Pythagorean Theorem<span><span>x2</span>+((24−x)/<span>√3</span><span>)2</span>=<span>12^2</span></span><span><span>x2</span>+(24−x<span>)^2</span>/3=<span>12^2</span></span><span>3<span>x2</span>+(24−x<span>)^2</span>=432</span><span>4<span>x2</span>−48x+576=432</span><span>4<span>x2</span>−48x+144=0</span><span><span><span>x2</span>−12x+36=0
x1 = x2 =6
AD = AC - DC = 24- (24-x) = 6</span></span>
No unit fractions are shown. (Sometimes editing is required when you copy and paste your question text.)
Selections B and D have 1 as their first digit. We suspect those are supposed to be the unit fractions 1/8 and 1/3, respectively.
Answer:
Jelly Bean price per pound = $3.25, Trail Mix price per pound = $1.25
Step-by-step explanation:
Let jb = price per pound of jelly beans
Let tm = price per pound of trail mix
equation 1 -> 6*jb + 2*tm = 22
equation 2 -> 3*jb + 5*tm = 16
simplify equation 1
6*jb + 2tm = 22
2*tm = 22 - 6*jb
divide by 2
tm = 11 - 3*jb
plug this into equation 2
3*jb + 5*tm = 16
3*jb + 5*(11-3*jb) = 16
3*jb + 55 - 15*jb = 16
-12*jb + 55 = 16
-12*jb = 16 - 55
-12*jb = -39
jb = -39/-12
jb = 3.25
then, plug the cost per pound of jelly beans back into the simplified equation 1
tm = 11 - 3*jb
tm = 11 - 3*3.25
tm = 1.25