Answer:
x = 1
Step-by-step explanation:
0.5x-0.3=0.2
1. Multiply both sides by 10.
0.5x*10-0.3*10=0.2*10
2. Refine.
5x-3=2
3. Add 3 to both sides.
5x-3+3=2+3
4. Simplify.
5x=5
5. Divide both sides by 5.
5x/5=5/5
6. Simplify.
x=1
Answer:
70
Step-by-step explanation:
An isosceles triangle has two equal sides, and the angles add up to 180 degrees. 180 - 70 - 40 = 100, therefore the answer is 70
Answer:C. It has only one solution
Step-by-step explanation:
The system of equations is expressed as
y = x + 2
Subtracting 2 from the left hand side and the right hand side of the equation, it becomes
x = y - 2 - - - - - - - - - 1
-x + 3y = 6
Multiplying the left hand side and the right hand side of the equation by - 1, it becomes
x - 3y = - 6
Adding 3y to the left hand side and the right hand side of the equation, it becomes
x = 3y - 6 - - - - - - - - 2
Equating equation 1 and equation 2, it becomes
y - 2 = 3y - 6
3y - y = - 2 + 6
2y = 4
y = 4/2 = 2
Substituting y = 2 into equation 1, it becomes
x = 2 - 2 = 0
The solutions are (0, 2)
Answer: 10.5cm
Step-by-step explanation: the radius is half the diameter. 21/2=10.5
If we make
an integer that represents the adults that bought tickets, and
the number of students, then we have the equations
, and
.
Using the second equation, we find that
, so we plug this value of
into the first equation to get
. We simplify to find
. We divide by
to isolate the desired variable to get
.