Answer:
x < -6
Step-by-step explanation:
3x - 2 > 5x + 10
first step is to isolate x
3x -2 >5x +10
3x > 5x + 10 + 2
3x -5x > 10 + 2
now that we have 3x and -5x we can combine them
-2x > 10 + 2
now add 10 +2 =12
-2x > 12 (now divide by -2)
x < -6 (when we divide we flip the inequality sign)
Long sleeves hope this helps
Answer:
11
Step-by-step explanation:
11
Answer:
y = 28 - x
Step-by-step explanation:
The variable x represents how many buttons Paula had before giving 28 away and the variable y represents how many buttons she has now.
Answer:
A. Plane B because it was 9.33 miles away
B. 48 units
Step-by-step explanation:
A. Since the airplanes fly at an angle to the runway, their direction forms a triangle with the runway with their height above the ground as the opposite of the angle and their distance from the airport as the hypotenuse.
So for airplane A with 44° angle of departure,
sin44° = y/h where y = height above the ground and h = distance from airport
So h = y/sin44° = 6/sin44° = 8.64 miles
So for airplane B with 40° angle of departure,
sin40° = y/H where y = height above the ground and H = distance from airport
So H = y/sin40° = 6/sin40° = 9.33 miles
Since airplane B is at 9.33 miles away from the airport whereas airplane A is 8.64 miles from the airport, airplane B is farther away.
B. We know that scale factor = new size/original size
Our scale factor = 4 and original size = 12 units. So,
new size = scale factor original size = 4 × 12 = 48 units.