8x + 3× + 9x = 180
20x = 180
x = 180/20
x = 9
The smallest angle is: 3×9 = 27 degrees
Note: 180 degrees is the sum of angles in a triangle
2. unit price = $ ÷ oz
<span>a) 64 fl oz for $2 = 2/64 ≈ $0.031 per ounce </span>
<span>b) 256 fl oz for $7.5 = 7.5/256 = $0.029 per ounce </span>
<span>c) buy wholesale because 0.029 < 0.031 </span>
<span>3. unit rate means 1 for the miles </span>
<span>3/10 in ÷ 7/8 mi </span>
<span>= 12/35 inches per mile ...</span>
-2/3x+9=4/3x-3 original problem add 2/3x to both sides
9=6/3x-3 simplify 6/3 to 2 and add 3 to both sides
12=2x divide both sides by 2
x=6
hope that helps
Answer:
Step-by-step explanation:
Let
be the greater number and
be the smaller number. We know that their difference is 15, so we have

Then, we have the following information: if we add twice the greater (2x) and 8 (2x+8), the result is 3 times the lesser (3y) minus four (3y-4). So, we have

So, we have the follwing system:

From the first equation, we can derive
, and substitute this expression in the second equation to get

Substitute this value for y in the first equation to get

Answer:
A
Step-by-step explanation:
Try testing each graph by picking a point on the shaded region or none shaded region.
-1/5 and 6= y-intercept
4/5 and 2= slope
You may notice that it is in y-intercept form. So to find where the shaded region goes, test a coordinate and apply it to the equation, if the answer is false, than half of the line is not where the shaded region goes.