Answer:
x = 15
Explanation:
First, add both equations on one side, and set it equal to 180° because it's supplementary:
2x + 8 + 8x + 22 = 180
combine like terms:
10x + 30 = 180
subtract 30 on both sides of the equation and you end up with:
10x = 150
divide both sides by 10 and you get:
x = 15
To solve the problem, what you must do is a system of two equations with two Ingonites that describe the problem.
Let:
x = number of shirt buttons.
y = number of buttons on jackets.
Writing the system:
36x + 42y = 842
6x + 7y = 137
We observe that the system is linearly dependent, therefore, it can not be solved.
However, the solution is to solve the system of two equations with two unknowns.
In order to solve it, the system must be linearly independent.
Answer:
112
Step-by-step explanation:
The general form of all percentage questions is: the chunk= (some percentage) (of the whole), or c=p*w
We know that 18% of students are 8th grade and that is 126 students, so p = 0.18 and c=126 (126 students are 18% of the whole school)
126 = (0.18)w, divide both sides by 0.18
126/(0.18) = w = 700
9th graders are 16% of the school or 16% of 700 students
c = (0.16) 700 = 112 students
Answer:
Hey there, Lets solve this step by step.
A number t divided by 82
Let the number be represented by y.
t divided by 82 = t / 8
Therefore-
In algebraic expressions, "y" is normally used as the dependent variable and "x" is normally used as the independent variable, instead of other variables. So that is why i used the variable y in the equation.
Step-by-step explanation:
Answer:
A. 5x^2 − 2x − 24 = 0
Step-by-step explanation:
height = 5b-2
b =x
We can rewrite the height as
h = 5x-2
We know the formula for area of a triangle
A = 1/2 bh
A =1/2 x * (5x-2)
Distributing the x
A= 1/2 (5x^2 - 2x)
We know A =12
12 = 1/2 (5x^2 - 2x)
Multiply each side by 2
12*2 = 2*1/2 (5x^2 - 2x)
24 = 5x^2 - 2x
Subtract 24 from each side
24-24 = 5x^2 - 2x-24
0 = 5x^2 - 2x-24
