Yes, because 3 1/3 times 45 equals 150 which leaves 10 cups left over:
Answer:
6 cm
Step-by-step explanation:
Area = ½ × b × h
24 = ½ × 8 × h
24 = 4 × h
24/4 = h
6 = h
Answer:
30 m/s
Step-by-step explanation:
Let's say the distance from the first car to the intersection is x, and the distance from the second car to the intersection is y.
The distance between the cars can be found with Pythagorean theorem:
d² = x² + y²
Taking derivative with respect to time:
2d dd/dt = 2x dx/dt + 2y dy/dt
d dd/dt = x dx/dt + y dy/dt
We know that x = 200, dx/dt = -25, y = 150, and dy/dt = -50/3.
To find dd/dt, we still need to find d.
d² = x² + y²
d² = (200)² + (150)²
d = 250
Plugging everything in:
250 dd/dt = (200) (-25) + (150) (-50/3)
dd/dt = -30
The cars are approaching each other at a rate of 30 m/s at that instant.
Answer:
96 one bedroom homes
64 two bedroom homes
32 three bedroom homes
Step-by-step explanation:
If x is the number of 1 bedroom homes, y is the number of 2 bedroom homes, and z is the number of 3 bedroom homes:
x + y + z = 192
x = y + z
x = 3z
Solve the system of equations using substitution or elimination. Using substitution:
x + x = 192
2x = 192
x = 96
z = x / 3
z = 32
y = x − z
y = 64
