Answer:
X=1
Step-by-step explanation:
6 times x = 6x
6 times positive 3 = 18
6x +18 = 24
-18 -18
6x = 6
6 6
x = 1 :)
Answer:
0.314 gallon is required to cover a circular region with a radius of 40 feet
Step-by-step explanation:
Given
a gallon of paint will cover about 400 square feet in a single coat
To Find:
Number of gallons required to cover a circular region with a radius of 40 feet = ?
Solution:
Step 1: Finding Area of the circular region
The area of the circular region, A = 
where r is the radius
Now substituting r = 40 , we get
A = 

Step 2: Finding the number of gallons of paint required
To cover 400 sq feet = 1 gallon
so to cover 1 square feet =
gallon
Now to cover 125.6 ft we need


=> 0.314 gallon
Answer:
slope = 5
Step-by-step explanation:
The equation of a lin in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x + 3 ← is in slope- intercept form
with slope m = 5
Parallel lines have equal slopes , then
The slope of a line parallel to y = 5x + 3 is 5
We are given with the formula
p = 200k - 500
a) The constraint for this formula is obtained from the idea that the profit must be positive
200k - 500 > 0
k > 500/200
k > 2.5
b) To make 14000 profit
14000 = 200k - 500
k = 72.5 or 73 knives must be sold