Isolate one variable in the system of equations. Use substitution to create a one-variable equation. Then, set the quadratic equation equal to zero and find the discriminant. If the discriminant is negative, then there are no real number solutions. If the discriminant is zero, then there is one real number solution. If the discriminant is positive, then there are two real number solutions.
Answer:If Mary spent half of her allowance the equation will begin with 1/2x or 0.5x where x is her allowance and 0.5 is half of her allowance spent. Mary also earned 7 dollars by washing the car so this will be added to her allowance spent.
The problem says that after Mary has spent half of her allowance at the movies she was left with 18 dollars so that means that the equation must be equal to 18.
The equation you want to set up is
0.5x+7=18
Where, 18-7=11
0.5x=11
11/.5 = x
x = $22
Thus, Mary has a weekly allowance of 22 dollars.
Step-by-step explanation:
1kg = 2.205 lbs
Therefore, 1 lb = 1/2.205 kg
Or 5.4lb = 5.4/2.205
= 2.44 kgs
Thus, this package will weigh 2.44 kgs
Answer:
70 degrees
Step-by-step explanation:
x = angle
180 - x = it's supplement
90 - x = it's compliment
(180 - x) - 4(90 - x) = 30
180 - x - 360 + 4x = 30
reducing
3x = 210
x = 70
Step-by-step explanation:
Given diameter of table (circular) =1.6m
radius =0.8m
area of circle = πr
2
=3.14×0.64=2.0096m
2
Now rate of polishing per meter square =15Rs
Cost of polishing table top = 15×2.0096
cost = 30.14m
2
