Answer:
see the explanation
Step-by-step explanation:
Let
x ----> the number of males on the elevator
y ----> the number of females on the elevator
we know that
The inequality that represent this situation is
The solution of the inequality is the shaded area below the solid line
The slope of the solid line is negative
The y-intercept of the solid line is (0,18)
The x-intercept of the solid line is (15,0)
see the attached figure
The solution is the triangular shaded area
The maximum number of females is 18 (when the number of males is zero)
The maximum number of males is 15 (when the number of females is zero)
0 is the point of origin because it's not really a number, it's more of a starting point for positive and negative numbers.
Answer:
315.1*
Step-by-step explanation:
Answer:
Deborah is 31; Sarah is 27.
Step-by-step explanation:
Question:
"Deborah is x years old and Sarah is why is the sum of their ages is 58 if Deborah is 4 years older than Sarah find the ages of both women."
"sorry it is y years old."
Solution:
Deborah's age = x
Sarah's age = y
The sum of their ages is 58
x + y = 58
"Deborah is 4 years older than Sarah"
x = y + 4
We have a system of two equations.
x + y = 58
x = y + 4
The second equation is already solved for x, so we can use the substitution method.
Rewrite the first equation, and then rewrite it again substituting y + 4 for x.
x + y = 58
y + 4 + y = 58
2y + 4 = 58
2y = 54
y = 27
Now use the second original equation to solve for x.
x = y + 4
x = 27 + 4
x = 31
x = 31; y = 27
Deborah is 31; Sarah is 27.
Since it is the midpoint we can say:
12x - 1 = 8x +11
All we have do to is get all the x's alone on one side
12x - 1 = 8x + 11
12x = 8x + 12 (add both sides by 1)
4x = 12 (subtract both sides by 8x)
x = 3 (divide both sides to get what x is)