Answer:
x + 3y > 6
Step-by-step explanation:
Find two points that satisfy x + 3y = 6 and draw a DASHED line through them.
It is greater than so shade the section ABOVE that line.
Using the intercept method, the two points I chose are: (0, 2) & (6, 0)
y ≥ 2x + 4
Find two points that satisfy y = 2x + 4 and draw a SOLID line through them.
It is greater than so shade the section ABOVE that line.
The two points I chose are: (0, 4) & (1, 6)
The solution is where the shaded sections overlap.
Step-by-step explanation:
work is shown and pictured
Answer:
Step-by-step explanation:
we know that
Haley's car gets at least 
miles per gallon
so
by proportion
Find the minimum number of gallons she'll need for a trip that is 
miles
Answer:
Soccer = 120
Tennis = 220
Step-by-step explanation:
The total number of students enrolling for soccer and tennis classes is, 340.
The ratio number of students enrolling for soccer and tennis classes is, 6:11.
Then,
6x + 11x = 340
17x = 340
x = 20
The number of students enrolled for soccer class is, 6x = 6 × 20 = 120.
The number of students enrolled for tennis class is, 11x = 11 × 20 = 120.
Answer:
≈ 12.6
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the third side, then
x² + 6² = 14²
x² + 36 = 196 ( subtract 36 from both sides )
x² = 160 ( take the square root of both sides )
x = 
≈ 12.6 ( to the nearest tenth )
