Answer:
x =3
Step-by-step explanation:
3(4x + 4) = 2(5x+9) - 12
First step is to open the brackets by multiplying. It becomes
3×4x + 3×4 = 2×5x + 2×9 -12
12x + 12 = 10x + 18 - 12
Collecting like terms on the right hand side and left hand side of the equation, it becomes
12x -10x = 18 -12 -12
2x = -6
Negative sign on the right hand side of the equation overwhelms the positive sign on left hand side of the equation. It becomes
2x = -6
x = -6/2 = -3
Checking
3(4×-3 + 4) = 2(5×-3+9) - 12
-24 = -12-12= -24
So x = -3
Step-by-step explanation:
step 1. 12x - 15 - 12x = 7x + 20
step 2. 12x - 12x - 15 = 7x + 20 (grouping of terms)
step 3. -15 = 7x + 20 (adding like terms)
step 4. -35 = 7x (subtract 20 from both sides)
step 5. this step is incorrect.
step 6. -5 = x ( divide both sides by 7)
step 7. x = -5 (put the variable first).
Total 175 students.
102 students go to movies at least twice a week and 73 students either go 1 times or not going to the movies.
So
Students go 0-1 times per week = 73/175 = 0.4172 = 41.71%
Answer: last option
41.71%
Answer: 278.18
sorry if it's wrong
Step-by-step explanation: if you divide 255 by 11 you get 23.18181818181
so if you simplify you get 23.18 so that is the tax plus the original payment which is 278.18
Answer:
Area of rectangle = 225/2 or 112.5
Step-by-step explanation:
Given,
Consider a rectangle ABCD.
Let AC be a diagonal of rectangle of length = 15
In triangle ABC.
Sin 45° =height/hypotenuse {SinФ = height / hypotenuse}
Here, hypotenuse = diagonal of rectangle ( i.e AC = 15)
And height is AB
Therefore, sin 45° = AB/AC
or sin 45° = AB / 15
or 1/√2 = AB /15
AB = 15/√2
Similarly we can find Base (i.e BC) using cosine.
Cos 45° = Base/Hypotenuse
Cos 45° = BC / AC
or 1/√2 = BC/15
BC = 15/√2
Hence we got length of rectangle , AB= 15/√2
And width of rectangle , BC = 15/√2
Therefore, area of rectangle = Length × Width
Area of rectangle = 15/√2 × 15/√2 = 225/2
Hence, area of rectangle = 225/2 = 112.5