7 is the number increased by 5 = 12
Answer:
Thank you
Step-by-step explanation:
The algebraic expression for the overtime hours after 6 hours is (6 + y) 30.
<h3>
Algebraic expression</h3>
This is a system for computating mathematical expression using letters or other symbols to represent numbers, with rules for manipulating these symbols.
- Hourly wage for 6 hours = $20 per hour
- Overtime wage after 6 hours = $30 per hour
- Total hours worked = x
x = (Hourly wage for 6 hours × $20 per hour) + (Overtime wage after 6 + y hours × $30 per hour
x = (6 × 20) + (6 + y) 30
x = 120 + 180 + 30y
x = 300 + 30y
The expression for the overtime hours is (6 + y) 30.
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Answer:
hello! :) have a good day!
Exact Form:
x= 87/35
Decimal Form:
x= 2.48571428
Mixed Number Form:
x= 2 17/35
The height of the tunnel 5 feet from the edge is 13.82 feet option second 13.82 feet is correct.
<h3>What is an ellipse?</h3>
An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called focus adds up to a constant. It is taken from the cone by cutting it at an angle.
We have:
A tunnel is constructed with a semi-elliptical arch. The width of the tunnel is 60 feet, and the maximum height at the center of the tunnel is 25 feet.
2a = 60 (width of the tunnel is 60 feet)
a = 30
And the maximum height at the center of the tunnel is 25 feet
b = 25
Let's assume the center of the ellipse is at the origin.
So the equation of the ellipse:

Now plug x = a - 5 = 30 - 5 = 25

After solving:


y = ±13.819 ≈ ±13.82
Height cannot be negative
y = 13.82 feet
Thus, the height of the tunnel 5 feet from the edge is 13.82 feet option second 13.82 feet is correct.
Learn more about the ellipse here:
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