Set up a ratio of known to unknown:
Let X = the amount of gas needed for 500 miles:
220/12 = 500/x
Cross multiply:
220x = 6000
Divide both sides by 220:
X = 6000 / 220
x = 27.27 gallons (round answer as needed).
Answer:
4 1/3 - 2 1/4 = 25/12 or 2 1/12
Step-by-step explanation:
The standard equation of a circle is expressed as
(x - h)^2 + (y - k)^2 = r^2
where
h is the x coordinate of the center of the circle
k is the y coordinate of the center of the circle
r is the radius of the circle(the distance from the center of the circle to the circumference
From the graph,
h = - 1
y = 4
r = 5
By substituting these values into the equation, we have
(x - - 1)^2 + (y - 4)^2 = 5^2
(x + 1)^2 + (y - 4)^2 = 25
Thus, the equation of the circle is
(x + 1)^2 + (y - 4)^2 = 25
Answer:
A
Step-by-step explanation:
Everything else is false and A is correct because the sum of two opposites equal 0.
The answer is: " 40 books " .
____________________________________________
Explanation:
____________________________________________
Let "x" equal the number of books that Jill started with. Solve for "x" :
____________________________________________
x – (1/2)x + 16 = 36 ;
1x – (1/2)) = (1/2)x ;
(1/2)x + 16 = 36 ;
Subtract "16" from EACH SIDE of the equation:
(1/2)x + 16 – 16 = 36 – 16 ;
(1/2)x = 20 ;
Multiply each side of the equation by "2" ;
2*(1/2)x = 20 * 2 ;
to get: x = 40 .
____________________________________________
The answer is: " 40 books " .
____________________________________________