Answer:
180 in²
Step-by-step explanation:
the area of a rectangle = length × width
here length = 15 in and width = 12 in, hence
area = 15 × 12 = 180 in²
Answer:
20 adults and 10 children
Step-by-step explanation:
We need to find the total amount of adults and children for 30 total people (adults + children) and only 100$ for them. 30 adults is 120$. We need to take off double the amount of money that would bring it to 100$ because the cost for each child is half of an adult. That way, we have 80$ of adults, and when we fill in the rest with children, we get to 100$ total and 30 total people.
First multiply all terms by z
8-z^2=4z
Then order into standard form
-z^2-4z+8=0
Multiply the equation by -1
z^2+4z-8=0
Plug into quadratic equation
-4±√16-4(-8)
-4±√48
(-4±4√3)/2
-2±2√3
Final answer: z=-2± 2√3
56 cups, you take 112 and divide it by 2
The point 6 cm away from the center travels in a circle of circumference 2π*(6 cm) = 12π cm, so that it covers this distance per revolution, 12π cm/1 rev.
So the disk has a linear speed of
(6000 rev/min) * (12π cm/rev) = 72,000π cm/min
which is equivalent to
(72,000π cm/min) * (1/100,000 km/cm) * (60 min/h)
or approximately 135.7 km/h.
