Answer: A = -2/5
Step-by-step explanation:
- 6/5 - 2/5 = - 8/5 aka - 1 3/5
-1 3/5 ÷ 4 = - 2/5
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
Answer:
Step-by-step explanation:
<u>Find zeros first:</u>
- x² + x - 6 = x² + 3x - 2x - 6 = x(x + 3) - 2(x + 3) = (x - 2)(x + 3)
- x = 2, x = -3, x = 7 (but x ≠ 7 as no division by zero)
<u>We have 4 intervals:</u>
- x ≤ - 3, three negatives, the result is negative or zero
- -3 ≤ x ≤ 2, two negatives and one positive, the result is positive or zero
- 2 ≤ x < 7, two positives and one negative, the result is negative or zero
- x > 7, three positives, the result is positive or zero
<u>The solution is:</u>
Correct choice is A
Answer:
1. $5.61
Step-by-step explanation:
if $22 = $1.87 tax
then: $1 would be $0.085
so 66 x 0.086 = 5.61
$66 = $5.61
