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
Answer:
j = (h-4) / k
Step-by-step explanation:
Unless there is more information given about this question somewhere else in the assignment, I'm assuming you are being asked to solve this equation for j.
If so, then its just a matter of rearranging the equation so that it is in the form
j = (expression containing other variables)
(h-4) / j = k (multiply both sides by j)
(h-4) = jk (divide both sides by k)
j = (h-4) / k
3 over 5 x minus 15 = 6 over 5 x plus 12
3/5x - 15 = 6/5x +12
-3/5x+3/5x-15=6/5x-3/5x+12 subtraction property
-15=3/5x+12 simplified
-12-15=3/5x+12-12 subtraction property
-27=3/5x simplified
(5/3)(-27)=3/5 (5/3)x multiplicative inverse
-45=x
Answer:
175
Step-by-step explanation:
(g*h)(x) is the product of two functions: g(x) = 25 and h(x) = 4 - x.
This product is equal to 100 - 25x.
Substituting -3 for x, we get
(g•h)(-3) = 100 - 25(-3) = 175
