Answer:
A pizza parlor uses square prisms for their pizza boxes. Due to the crust rising, the height of their boxes is always 2 inches. Additionally, the volume of the pizza box must be 450 cubic inches to fit their standard-sized pizza. A worker determined that the equation 2×2 = 450 could be used to find the side length, x, of the box needed to reach that volume.
Determine which statement is true about the solutions to the equation.
A.
The solutions are -30 and 30 but only 30 is a reasonable side length.
B.
The solutions are -30 and 30 and both are reasonable side lengths.
C.
The solutions are -15 and 15, but only 15 is a reasonable side length.
D.
The solutions are -15 and 15 and both are reasonable side lengths.
Answer:
(x - 3)² + (y + 1.5)² = 15.25
Step-by-step explanation:
Centre: midpoint of the diameter
(h,k) = (0+6)/2, (1-4)/2
= (3, -3/2)
Radius = ½(diameter)
Diameter = sqrt(6² + (-4-1)²)
sqrt(61)
Radius = sqrt(61)/2
Equation:
(x - h)² + (y - k)² = r²
(x - 3)² + (y + 1.5)² = 15.25
This is a proportion question.
0.5:40 miles :: 5:x
Translated into division you get 0.5/40 = 5/x Cross multiply
0.5 x = 40 * 5 combine the right
0.5x = 200 divide by 0.5
0.5x/0.5 = 200/0.5 Divide
x = 400
Answer: The two cities are 400 miles apart
Essentially, we are being asked to find the unit rate. We want to figure out how many dollars it costs to buy 1 yard of fabric.
$10 : 8 yards
---Divide both values by 8
$1.25 : 1 yard
Hope this helps!