Answer:
B. 11
Step-by-step explanation:
Set up a system of equations where a is the number of adults and c is the number of children
a + c = 87
8a + 5c = 468
Solve by substitution by rearranging the first equation, then substituting it in the second equation:
a = 87 - c
Substitute this for a in the second equation, then solve for c:
8(87 - c) + 5c = 468
696 - 8c + 5c = 468
696 - 3c = 468
-3c = -228
c = 76
Then, plug this into the first equation to solve for a:
a + c = 87
a + 76 = 87
a = 11
So, 11 adults attended the carnival.
The correct answer is B, 11
South west
Shifting 4 units left (decreasing in x-axis by 4 units)
Shifting 5 units down (decreasing in y-axis by 5 units)
Apply to every vertices coordinates(x - 4, y - 5)
New coordinates
A(-2, -1)
B(-1, -4)
C(1,0)
Answer:
Step-by-step explanation:
Ben's car gets between 18 and 21 miles per gallon of gas. If his car's tank holds 15 gallons, it means that the least distance that Ben can drive on one tank of gas would be
18 × 15 = 270 miles.
Also, the most distance that Ben can drive on one tank of gas would be
21 × 15 = 315 miles.
Therefore the the range of distance that Ben can drive on one tank of gas is between 270 miles and 315 miles. If d represents the distance, then the range is
270 ≤ d ≤ 315)
Calculus! First one I've seen here! Take the derivative of the volume of a cube. Volume is V = s^3, dV = 3s^2 ds when s = 10 and ds = 3. I think you used x. Anyway, in the derivative fill in the s with a 10 and the ds (rate of change) is 3. So dV = 3(10)^2 * 3
dV = 600 cm per second
