3:2 because 18/12 and 30/20 both reduce to 3/2
The solution values in order from smallest to largest are;
- -13 - First
- -10 - Second
- -3.5 - Third
- -2 - Fourth
- -0.75 - Fifth
<h3>Unknown equation</h3>
let
(x - 5)-2 = 14
-2x + 10 = 14
-2x = 14 - 10
-2x = 4
x = 4/-2
x = -2
4x - 5 = -8
4x = -8 + 5
4x = -3
x = -3/4
x = -0.75
(x + 3) / 5 = -2
x + 3 = -2(5)
x + 3 = -10
x = -10 - 3
x = -13
1/2x + 4 = -1
1/2x = -1 - 4
1/2x = -5
x = -5 ÷ 1/2
= -5×2/1
x = -10
x + 2 = 6/-4
-4(x + 2) = 6
-4x - 8 = 6
-4x = 6 + 8
-4x = 14
x = 14/-4
x = -3.5
Therefore, the smallest value is -13 and the largest value is -0.75.
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Answer:
<em>The voltage at the middle source is</em> 
Step-by-step explanation:
<u>Voltage Sources in Series</u>
When two or more voltage sources are connected in series, the total voltage is the sum of the individual voltages of each source.
The figure shown has three voltage sources of values:
The sum of these voltages is:
Operating:
We know the total voltage is 
, thus:
Equating the real parts and the imaginary parts independently:
4+a=6
1+b=-3
Solving each equation:
a = 2
b = -4
The voltage at the middle source is
Answer:
Yes; K= -2 and y=-2x
Step-by-step explanation:
1+2=3
3+2=5
Answer:
Number of senior citizen tickets sold= 110
Number of adults tickets sold= 290
Step-by-step explanation:
<u>First, we need to establish a system of equations:</u>
x= number of adults tickets
y= number of senior citizen tickets
x + y= 400
6x + 3y= 2,070
<u>Now, we isolate x in one equation and substitute the value in the other:</u>
x= 400 - y
6*(400 - y) + 3y = 2,070
2,400 - 6y + 3y = 2,070
330 = 3y
110 = y
Number of senior citizen tickets sold= 110
Number of adults tickets sold= 290
<u>Prove:</u>
290 + 110= 400
6*290 + 3*110= 2,070
