Answer:
The solution of the system of equation is x = 3.5
Step-by-step explanation:
The given system of equation is;
f(x) = 3·x + 5 and g(x) = x + 12
To find the common solution, we equate the values of both functions as follows;
3·x + 5 = x + 12
We collect like terms;
3·x - x = 12 - 5
2·x = 7
x = 7/2 = 3.5
x = 3.5
Therefore, the solution of the system of equation is x = 3.5
Volume is approximately 502.65 cm^2
Answer:
37.68 inches
Step-by-step explanation:
Circumference = 12 x 3.14
Circumference = 37.68
Hope that helps!
Answer:
y = 8x + 50
Step-by-step explanation:
Use (0,50) and (10,130)
Slope: m = (130-50)/(10-0) = 8
Y-intercept is 50
y = 8x + 50
Answer:
25 students had soup for lunch
Step-by-step explanation:
Sandwich : soup
Of all students who purchased lunch this Thursday, 30 chose a sandwich
Let x = number of students who choose soup
Sandwich : soup = 30 : x
If the ratio of students who chose a sandwich to all of those who chose soup was 6:5
Sandwich : soup = 6 : 5
how many of the students had soup for lunch?
Equate both ratios
Sandwich : soup
30 : x = 6 : 5
30 / x = 6 / 5
Cross product
30 * 5 = x * 6
150 = 6x
Divide both sides by 6
x = 150 / 6
= 25
x = number of students who choose soup = 25 students
