Step-by-step explanation:
The system of equations for eq 1 which is 3x + y = 118 represents the Green High School which filled three buses(with a specific number of students identified as x) and a van(with a specific number of students identified as y) with a total of 118 students.
for eq 2; 4x + 2y = 164; represents Belle High School which filled four buses(with a specific number of students identified as x) and two vans(with a specific number of students identified as y) with a total of 164 students.
The solution represents the specific number of students in the buses and vans in eq1 and eq 2 with x being 36 students and y being 10 students.
substituting 36 for x and 10 for y in eq 1;
3(36) + 10 = 108 + 10 = 118 total students for Green High School
substituting 36 for x and 10 for y in eq2;
4(36) + 2(10) = 144 + 20 = 164 total students for Belle High school
the angles on the opposite sides of a quadrilateral touching the circumference adds up to 180 degrees
so,
(21x-2) + (38x +5) = 180
21x+38x −2+5=180
59x+3=180
59x=177
x=3
Answer:
The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division. Addition. Subtraction.
Step-by-step explanation:
The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division. Addition. Subtraction.
Answer:
b. y = 3(x+2)^2 + 5
Step-by-step explanation:
The vertex form of a parabola is
y = a(x - h)^2 + k where (h, k) is the vertex.
Here h = -2 and k = 5 so the following could be the required equation\;
y = 3(x+2)^2 + 5
There are 36 inches in a yard so 36*2.54 = 91.44 centimeters
