Answer:
The answer is
D. V= 19200- 12t
Step-by-step explanation:
in this problem, we already know that the pool contains 19200 gallons of water
and the pool is draining at 12 gallons per minutes, hence the volume is decreasing at that rate
Therefore for t minutes it will decrease by 12t
hence the volume after t minutes will be
V= 19200-12t
Answer:
Perimeter = 65.12 in
Area = 292.48 in^2
which agrees with the second answer choice
Step-by-step explanation:
The perimeter is going to be the addition of the sides of the rectangle external to the composite figure ( 12 + 16 + 12 = 40) PLUS the length of half of the circumference or radius 8 inches (which is pi * radius = 3.14 * 8 = 25.12 in)
Then the total perimeter is:
Perimeter = 40 in + 25.12 in = 65.12 in
The are is going to be the area of the rectangle (12 * 16 = 192 square inches) PLUS the area of the semicircle of radius 8 in (pi *radius^2 /2 = 100.48 square inches).
Therefore the total area is:
Area = 192 + 100.48 = 292.48 in^2
Answer:
y = 3x + 7
Step-by-step explanation:
Parallel lines have the same slope, so you can write the equation y = 3x + b and you have to figure out what b is.
plug in x = -3 and y = -2 into the equation y = 3x + b:
-2 = 3 * -3 + b
-2 = -9 + b
7 = b
So the equation is y = 3x + 7
Answer: a) x = 5 b) x = 12
Step-by-step explanation: For each one you just do the inverse to get it on the other side of the equal sign. For example x + 3 = 8 would be like this :
1. x + 3 = 8
2. x + 3 - 3 = 8 -3
( + 3 - 3 cancels out)
3. x = 5
To solve this problem, you should find the rate ---> cost per yogurt (cost/yogurt)
$6.50/10 yogurts = $0.65/yogurt
It costs $0.65 per yogurt, so you can multiply 9 by $0.65 to find the total cost of 9 yogurt.
9(0.65) = $5.85
