Answer:
D. -3.0 < x < 7.5
Step-by-step explanation:
Given the side lengths of a triangle: 6.5 units, 3.5 units, and 2.5 + x units
For the triangle to exist:
- A side length cannot be negative
- A side length cannot be zero
Therefore, the third side length
x+2.5>0
x>-2.5
x must be greater than -2.5 and less than or equal to 6.5 units.
The correct option is D which satisfies this condition.
D. -3.0 < x < 7.5
Answer:
The numbers are: 1 and 3.
Step-by-step explanation:
Let the first number be and the second number be .
Given: The difference between twice the number and the second number is . writing this mathematically,
From the second statement we get:
Solving for and we get:
and
Thus the first number is 1 and the second number is 3.
The answer is -7. The work is in the picture.
Answer:
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 3).
Step-by-step explanation:
I graphed the equation on the graph below so you can where I got my answer.
Answer:
System of equations:
20x + 30y = 650
x + y = 25
Time underwater = 10 hours
Time at the surface = 15 hours
Step-by-step explanation:
Let x = time underwater at 20 km/h.
Let y = time on the surface at 30 km/h.
speed = distance/time
distance = speed * time
distance underwater: 20x
distance on the surface: 30y
total distance: 650
20x + 30y = 650
total time: x + y
total time: 25
x + y = 25
20x + 30y = 650
x + y = 25
20x + 30y = 650
-20x - 20y = -500
--------------------------------
10y = 150
y = 15
x + y = 25
x + 15 = 25
x = 10