Answer:
Step-by-step explanation:
Find and compare the unit costs of the two different bottle sizes.
First:
$2.79/(6 oz) = $0.465/oz
Second:
$10.89/(14 oz) = $0.778/oz
Clearly, the larger (14 oz) bottle is a much better buy
Hey there!!
Given :
Sum of two integers = -5 and the product is -36.
Hence,
... x + y = -5
... xy = -36
x + y = -5
... y = -x - 5
xy = -36
...x ( -x - 5 ) = -36
... -x² - 5x = -36
... x² + 5x - 36 = 0
This can't be factored so solve using quadratic equation
x = [-b ±√(b2-4ac)]/2a a=1, b=5, c = -36
x = [-5±√(52-4(-36))]/2
x = [-5 ±√169]/2
x = (-5 ± 13)/2
x = (-5+13)/2= 8/2 = 4 OR
x = (-5-13)/2 = -18/2 = -9
x = 4, -9
Note here that since x+y=-5
For x=4, y=-9
for x = -9, y = 4
The two numbers are 4, -9
Hope my answer helps!!
Answer:
Step-by-step explanation:
Answer:
It will take 10 minutes to fill the tank completely.
Step-by-step explanation:
If the 30-gallon tank already has 3 gallons of water in it, then 27 more are needed to fill the tank. Thus, at time t = 0, g(0) = 3 gallons, and
g(t) = (3 gallons) + (2.7 gal/min)t, where t is the time in minutes.
At the time the tank is completely full, it holds 30 gallons. How long does this take to achieve: Set (3 gallons) + (2.7 gal/min)t equal to 30 gallons:
30 = 3 + 2.7t, or 27 = 2.7t, or t = 10 minutes
It will take 10 minutes to fill the tank completely.
