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:
2/3(two thirds) of the 24 hour day awake, amounts to 24 x 2 / 3 hours awake which is equal to 16 hours awake
Step-by-step explanation:
24 x 2/3
there are many ways to evaluate this mentally, if you know 8x3=24, for instance you can multiply top and bottom of 2/3 by 8 yo gey 24 x 16/24 which is 16 hours
Substitution Method:
y=7x-8 ------(1)
y=5x-2 ------(2)
From (2) y=5x-2 sub into (1)
5x-2=7x-8
5x-7x=-8+2
-2x=-6
x=3 sub into (2)
y=5(3)-2
y=13
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(x,y) = (3,13)
Answer:
0.17%
Step-by-step explanation:
if she paid 24 payments of $132, then as a total she paid 132 x 24 = 3168.
formula for simple interest = p x r x t divided by 100
difference : 918
so, 22500 x r x 24 divided by 100 = 918
22500 x r 24 = 91800
24r = 4.08
r = 4.08 divided by 24 = 0.17%
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