Answer:
x = all real values
y = all real values
Step-by-step explanation:
The domain is the input values
f(x) = 4x+52 which is a line
The input or x values can be any value so the domain is all real values of x
The range is the output values
f(x) = 4x+52 which is a line
The output or y values can be any value so the domain is all real values of y
Answer: 12x+27
Step-by-step explanation: 3*4=12 and 3*8=24 24+3=27 so simplyfy it and you would get 12x+27
The answer is <span>$494.55</span>
Let's first imagine a circle and calculate its area and then reduce it in half for the area of a semi-circle. Since this opening is above <span>a 30-inch wide door, the circle will have a diameter of 30 inches.
The area of the circle (A) is:
A = </span>π · r²
where:
π = 3.14
r - radius: r = diameter ÷ 2 = 30 ÷ 2 = 15 inches
So, the area of the circle is:
A = π · r² = 3.14 · 15² = 706.5 inches²
The area of the semicircle is half of the area of the circle:
A1 = A ÷ 2 = 706.5 ÷ 2 = 353.25 inches²
Since the stained glass window costs $1.40 <span>per square inch, for 353.25 square inches it will cost $494.55:
353.25 square inches * 1.40 $/square inch = $494.55</span>
Answer:
11) x = 45
12) x = 30
Step-by-step explanation:
11)
3x + x = 180
4x = 180
x = 45
12)
4x = 5x - 30
4x - 5x = -30
-x = -30
x = 30
Answer:
36 liters
Step-by-step explanation:
We solve this question using the least common multiple method
Find and list multiples of the liter the blue paint comes in the liters the yellow paint comes in. We find the first common multiple is found. This is the least common multiple.
Multiples of 9:
9, 18, 27, 36, 45, 54
Multiples of 12:
12, 24, 36, 48, 60
Therefore,
LCM(9, 12) = 36
Hence, the smallest amount of each paint color the store must have sold is 36 liters
