Answer:
1/4
Step-by-step explanation:
The ratio of the areas is the square of the ratio of the lengths of sides.
(1/2)² = 1/4
Answer: 1/4
The simple interest rate equation is I = Prt
I = interest
P = principle ($54,000)
r = rate (3.875%)
t = time (3 months, so .25 years)
I = Prt
I = (54,000)*(.03875)*(.25)
I = $523.125
Answer:
675 gallons of syrup
96 cans
Step-by-step explanation:
Capacity of tank = 1,000 gallons
Danielle filled 65 5-gallon cans with syrup.
Gallons filled = 65 × 5 gallons
= 325 gallons of syrup
Gallons left in the tank = 1,000 - 325 gallons of syrup
= 675 gallons of syrup
3 12-packs Of regular cola = 3 × 12 packs = 36 packs
4 12- packs of diet cola = 4 × 12 packs = 48 packs
2 6-packs of orange soda = 2 × 6 packs = 12 packs
Total cans = 36 + 48 + 12
= 96 cans
Answer:

Step-by-step explanation:
Choosing two points on the dotted line to find equation of line.
The points are:
and 
Slope of line can be calculated as:



Using point slope equation to find equation of dotted line.

where
represents slope of line and
represents y-intercept.
The y-intercept for the dotted line = 6 as it intersects the y-axis at (0,6)
So, the equation of line is:

The dotted line indicates that the line is not included in the solution.
The solution of the inequality is below the dotted line, so thus it would be less than the line.
So, the inequality would be:
