Let's solve your equation step-by-step.<span><span><span>x<span>(4)</span></span>−5</span>=6</span>Step 1: Simplify both sides of the equation.<span><span><span>x<span>(4)</span></span>−5</span>=6</span><span>Simplify: (Show steps)</span><span><span><span>4x</span>−5</span>=6</span>Step 2: Add 5 to both sides.<span><span><span><span>4x</span>−5</span>+5</span>=<span>6+5</span></span><span><span>4x</span>=11</span>Step 3: Divide both sides by 4.<span><span><span>4x</span>4</span>=<span>114</span></span><span>x=<span>114</span></span>Answer:<span>x=<span>11<span>4</span></span></span>
Remark
If the lines are parallel then triangle RQS will be similar to triangle RTP
From that, all three lines in one triangle will bear the same ratio to all three lines of the second triangle.
Givens
PQ = 8
QR = 5
RS = 15
ST = x + 3
Ratio
QR/RP = RS/RT
Sub and solve
RP = 5 + 8
RP = 13
RT = 15 + x + 3
RT = 18 + x
5/13 = 15 / (18 + x) Cross multiply
5(18 + x) = 195 Remove the brackets on the left.
90 + 5x = 195 Subtract 90 from both sides.
5x = 105 Divide by 5
x = 105/5
x = 21 Answer <<<<<<<
The total space in the parking lot is 1600 cars
It is mentioned that 
parts of this parking is filled
Now we are required to find what is the three-fourths part of 1600
To find it we multiply times 1600
= 
=
= 1200 cars
Hence 1200 cars fills the three-fourths of the car parking lot that has a capacity of 1600 cars
Answer:
$14000
Step-by-step explanation:
Given parameters:
Amount earned by employee x = $5250
Time duration = 3weeks
Unknown:
Amount earned in 8 weeks = ?
Solution:
Let us first find the rate of employee x earning;
Rate = 
Insert parameters;
Rate = 
= $1750/week
So,
In 8 weeks;
Amount earned = rate x time duration
Amount earned = $1750/week x 8weeks
Amount earned = $14000
