Answer:
All real numbers.
Step-by-step explanation:
25-4x=15-3x+10-x
25-4x-(-3x)-(-x)=15+10
25-4x+3x+x=25
25-x+x=25
25=25
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
Interesting problem.
First - let's figure cost of each uniform at purchase.
3,000/40 = $75 each
When some uniforms were returned at $40 - there was a difference of $35 in what they paid and what they rec'd in return. ($75 - 35 = $40)
Answer:$1.25
Step-by-step explanation:
2 divided by 1.60=$1.25
3 divided by 2.40= $1.25
5 divided by 4.00= $1.25
8 divided by 6.40 = $1.25
ANSWER: -60
EXPLANATION: To solve for (-10) - |(-20) – (+30) |, we need to do:
−10−| −20 − 30|, which equals −10−|−50|. Next, we do −10−50, which is -60.
−10−|−20−30|
= −10−|−50|
= −10−50
= −60
