Answer:
So the unit price of the trail - mix is $4.80 per pound
Step-by-step explanation:
Sam paid $3.60 for 3/4 pound of his favorite trail-mix.
What it means is that said paid for 3/4 = 0.75 of a pound for $3.60
So let's determine how much he could have paid for a complete pound
$3.60= 0.75 pound
X= 1 pound
$X*0.75 pound= $3.60*1 pound
$x= ($3.60*1 pound)/0.75 pound
$x=$3.60/0.75
$x= $4.80
So the unit price of the trail - mix is $4.80 per pound
-8+4x=-20x-25+7x
4x+20x-7x=-25+8
17x=-17 /17
x=-1
Remember some simle log rules
loga+logb=log(ab)
xloga=loga^x

means

also, if no base is stated, assume base 10
so
log(2x)=-1 is base 10 and translates to
10^-1=2x
1/10=2x
divide both sides by 2 aka times 1/2
1/20=x
3log(2)+log(x)=3
log(2^3)+log(x)=3
log(8)+log(x)=3
log(8x)=3
base 10
10^3=8x
1000=8x
divide both sides by 8
x=125
Answer:
Natalie is 15
Fred is 24
Step-by-step explanation:
You would first create equations to represent the problem. You would then solve for a variable (I chose to solve for y). I subtracted each equation from each other which helped me isolate y, which equaled 15. I then substituted y for 15 which allowed me to isolate x, which gave me 24.
(the equations)
x + y = 39
x + 3y = 69
(solving for y)
x + 3y = 69 - x + y = 39
x-x +3y -y = 69 - 39
2y = 30
y = 15
(solving for x)
x + 15 = 39
x +15 -15 = 39 -15
x = 24