Simplify 1/3(6x - 15) to 6x - 15/3
6x - 15/3 = 1/2(10x - 4)
Factor out the common term; 3
3(2x - 5)/3 = 1/2(10x - 4)
Cancel out 3
2x - 5 = 1/2(10x - 4)
Simplify 1/2(10x - 4) to 10x - 4/2
2x - 5 = 10x - 4/2
Factor out the common term; 2
2x - 5 = 2(5x - 2)/2
Cancel out 2
2x - 5 = 5x - 2
Subtract 2x from both sides
-5 = 5x - 2 - 2x
Simplify 5x - 2 - 2x to 3x - 2
-5 = 3x - 2
Add 2 to both sides
-5 + 2 = 3x
Simplify -5 + 2 to -3
-3 = 3x
Divide both sides by 3
- 1 = x
Switch sides
<u>x = -1</u>
Triangles are the easiest shape to make a hexagon out of. You can do this by lining up 6 triangles where each base of the triangle lines up.
Answer:
Step-by-step explanation:
You may have entered the measure of a side as the measure of an angle.
You are correct. Good job!
Answer:
0.4h ; 60 - h ;18 - 0.3h ; 0.1h + 18
Step-by-step explanation:
Given that:
Old house blend = 40% Columbian beans
New house blend = 30% Columbian beans
h = number of pounds of old house blend
a.) pound of columbian bean in old house blend :
40% of h = 0.4h
b.) pound of new blend poured into the bean:
Size of bin = 60 pound
Size of bin - pound of old house blend
(60 - h)
c. Amount of columbian bean in pound of new house blend :
30% of (60 - h)
0.3 * (60 - h)
18 - 0.3h
D.) Amount of columbian bean in 60 pound bin
(Pound of columbian bean in old house blend + pound of Columbian bean in New house blend)
0.4h + (18 - 0.3h)
0.4h + 18 - 0.3h
0.1h + 18
As a fraction, this ratio is simply 5/1.
