Answer:
x = 2
Step-by-step explanation:
First isolate the variable:
10x - 4 = 16
+4 +4
10x = 20
Then get x by itself:
10x = 20
x = 20/10
x = 10
Answer: Width = 24 inches
Step-by-step explanation:
Let W represent the width of the rectangular sign.
The length of a rectangular sign is 6 inches more than half its width. It means that the length of the rectangular sign would be
W/2 + 6
The formula for determining the area of a rectangle is expressed as
Area = length × width
The area of the sign is 432 square inches. Therefore, the equation for the area of this sign would be
W(W/2 + 6) = 432
W²/2 + 6W = 432
Multiplying both sides of the equation by 2, it becomes
W² + 12W = 864
W² + 12W - 864 = 0
W² + 36W - 24W - 864 = 0
W(W + 36) - 24(W + 36) = 0
W - 24 = 0 or W + 36 = 0
W = 24 or W = - 36
Since W cannot be negative, then
W = 24
Answer:
Height = 8 units
Step-by-step explanation:
Area of a triangle =
square units
=
square units
Height of the triangle =
units
=
units
Formula to calculate the area of a triangle is,
Area = 


Height = 
= 
= 8 units
Therefore, height of the given triangle is 8 units.
<h3><u>Answer</u>:- </h3>

<h3><u>Solution:-</u></h3>
<u>Given </u><u>that </u><u>:</u><u>-</u>
- job last for h hours
- Cost of job lasting more than 1 hour = $30
- Cost for the first hour = $75
Remaining hours for which the job will last after first hour= (h-1)
<u>Therefore</u>,
Cost for subsequent hours = 30×(h-1)
= 30(h-1)
Total Cost for job = Cost for 1st hour + Cost for subsequent hours
