The answer is d because i just took a test and that was the answer
Answer: 11x1.5=16.5 if im correct
Step-by-step explanation:B)
Answer:
400 lb of salt
Step-by-step explanation:
Let us assume the water flows into the rank for x minutes.
There is an initial of 1000 gallons of water in the tank and water flows in through one pipe at 4 gal/min and through another pipe at 6 gal/min. In x minute, the amount of water in the tank = 1000 + 4x + 6x = 1000 + 10x
Water flows out at 5 gal/min, therefore in x minute the amount of water in the tank = 1000 + 10x - 5x = 1000 + 5x
The tank begins to overflow when it is full (has reached 1500 gallons). Therefore:
1500 = 1000 + 5x
5x = 1500 - 1000
5x = 500
x = 100 minutes.
1/2 lb salt per gallon flows into the tank at 4 gal/min and 1/3 lb of salt is flowing in at 6 gal/min, in 100 min the amount of salt that entered the tank = 4 gal/min × 100 min × 1/2 lb/gal + 6 gal/min × 100 min × 1/3 lb/gal= 400 lb
Therefore the amount of salt is in the tank when it is about to overflow = 400 lb of salt
That arrow helps a lot.
One
Scale factor = 21/14 = (3*7)/(2*7) = 3/2 the sevens cancel out.
Two
Scale factor = 24/18 = (6 *4) / (6 * 3) The 6s cancel out
Scale factor = 4/3
Answer:
f(x) = -2/3x - 3
Step-by-step explanation:
Given the values f(3) = - 1 and f(6) = 1
We're essentially provided (3, -1) and (6, 1).
Let (x1, y1) = (3, -1)
(x2, y2) = (6, 1)
Substitute these values into the slope formula:
m = (y2 - y1)/(x2 - x1)
m = [1 - (-1)]/(6 - 3)
m = (1 + 1) / 3
m = 2/3
Next, we need to find the y-intercept. Use one of the points, (6, 1), and the slope, m = 2/3, and substitute these values into the slope-intercept form to solve for the y-intercept, b:
y = mx + b
1 = 4 + b
Subtract 4 from both sides to solve for b:
1 - 4 = 4 - 4 + b
-3 = b
Therefore, the linear function is: f(x) = -2/3x - 3
