Answer:
y=-4/3x-8/3
Step-by-step explanation:
Use the slope formula y2-y1/x2-x1
Finding the slope, 4-(-4)/-5-1 = 8/-6 = -4/3
y=-4/3x + b
Substituting,
-4=-4/3+b
-12/3+4/3=b
b=-8/3
y=-4/3x-8/3
Answer: B, $78
Step-by-step explanation:
If the tip is 20% of the dinner cost, then we have to first find what is 20% of 65.
20% x 65 = 13. So the tip for the dinner is 13 dollars.
Now we have to add it to the original dinner cost.
65 + 13 = 78.
Therefore, the total cost of their meal is 78 dollars. So the answer is B, $78!
Answer:
The unknown measurement of angle R to the nearest degree is 41°
Step-by-step explanation:
As you can see, we made a diagram form the given information in the problem. We are trying to find the measurement of angle R which is our unknown angle represented by the question mark.
in order to solve this problem, we are going to be using tangent. Tangent uses the opposite side and the adjacent side from the given or from the unknown angle measurement.
So, our equation will look like this.

Since, we do not know the measurement of the unknown angle, then are going to use the inverse of tangent.

Now, we solve. You can use a calculator to do these calculations.
The unknown measurement of the unknown angle to the nearest degree is 41° which is answer choice D.
Answer:
3
Step-by-step explanation:
Answer:
a. 
b. 
c. 
Step-by-step explanation:
a. The volume of water initially in the fish tank = 15 liters
The volume of brine added per minute = 5 liters per minute
The rate at which the mixture is drained = 5 liters per minute
The amount of salt in the fish tank after t minutes = x
Where the volume of water with x grams of salt = 15 liters
dx = (5·c - 5·c/3)×dt = 20/3·c = 

b. The amount of salt, x after t minutes is given by the relation




c. Given that in 10 minutes, the amount of salt in the tank = 25 grams, and the volume is 15 liters, we have;



