Answer:
2y + 3 = 6
Step-by-step explanation:
2y + 3 = 6 <em>Subtract</em><em> </em><em>3</em><em> </em><em>from</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em>
2y = 3 <em>Divide</em><em> </em><em>2</em><em> </em><em>from both</em><em> </em><em>sides</em>
y = 3/2
Answer:
31.5 in
Step-by-step explanation:
- Volume of a hemisphere = (2/3)
r³
(where r is the radius)
- Volume of a cylinder =
r²h
(where r is the radius and h is the height)
- radius r = (1/2) diameter
First, find the volume of the scoop using the volume of a hemisphere formula with r = 21:
Volume = (2/3)
x 21³ = 6174
in³
Now equate the found volume of the scoop to the equation of the volume of a cylinder with r = 14, and solve for h:
14²h = 6174
196
h = 6174
Divide both sides by
: 196h = 6174
Divide both sides by 196: h = 31.5
Therefore, the height of the molten steel in the storage tank is 31.5 in
Answer:
D
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
If m > 0 , then line slopes upwards from left to right
If m < 0 , then line slopes downwards from left to right
y = 3x - 2
has m > 0 and c = - 2 , thus line slopes upwards crossing the y- axis at - 2
y = - 2x + 3
has m < 0 and c = 3, thus line slopes downwards crossing the y- axis at 3
on the graph this is the lower blue line and the red line
the solution to the system is at the point of intersection of the 2 lines
This is at point D
Answer:
35/4 minutes per mile
Step-by-step explanation:
rate = time/distance, therefore the answer is 35/4