Radio Barn : 200 + .15 x x = the weekly sales
Woofer: 300 + .10x
set them equal to find when they are them same
200 + .15x = 300 + .10x
subtract .10x from both sides
200 +.15x -.10x = 300 + .10x-.10x
200 +.05x = 300
subtract 200 from each side
200+.05x -200 = 300-200
.05x = 100
divide each side by .05
.05x/.05 = 100/.05
x =2000
The 2 jobs pay the same when the weekly sales are 2000 dollars
2. {x - 5 = -y}
{2y - 10 = -2x}
x-5 = -y
add 5 to each side
x = -y+5
multiply each side by -2
-2x = 2y -10
the 2 equations are the same, it has an infinite number of solutions
The system is dependent since the 2 equations are the same line
3. {2x = y - 7}
{4x - 2y - 14 = 0}
2x = y-7
subtract y-7 from each side
2x - (y-7) = 0
2x -y+7 =0
multiply by 2
4x -2y +14 =0
subtract the two equations
4x -2y +14 =0
4x - 2y - 14 = 0
---------------------------
28 = 0
since this cannot happen the lines will never cross ( parallel lines)
the system is inconsistent
Answer:
It would be 36
Explanation:
<em>First:</em>
<em>Convert any mixed numbers to fractions.</em>
<em>Then your initial equation becomes:</em>
<em>108/1 ×1/3</em>
<em> </em>
<em>Applying the fractions formula for multiplication,</em>
<em>=108×1/1×3 = 108/3</em>
<em> </em>
<em>Simplifying 108/3, the answer is</em>
<em>=36</em>
hope it helped. :)
Answer:
2x
Step-by-step explanation:
10x/5 is the same as 1/5 times 10x.
Simplify to get 2x
Answer:
No, they are not.
Step-by-step explanation:
A ratio can be written as a fraction. So 3:5 is the same as 3/5 and 2:4 is the same as 2/4.
3/5 = 2/4
0.6 = 0.5 INCORRECT
As you can see, the both don't equal the same numbers, so they aren't equivalent.
Answer:
3
Step-by-step explanation:
