There are 16 cups in one gallon so a half would be 8
Answer: 8 cups
Answer:
Bill is 25 years old and Jenny is 29 years old
Step-by-step explanation:
Systems of Equations:
J = 4 + B
J + B = 54
Substitute J into the first equation.
4 + B + B = 54
Add like terms.
4 + 2B = 54
Isolate the variable.
4 + 2B = 54
-4 -4
2B = 50
2B/2 = 50/2
B = 25 years old
Plug in B into the second equation of the system.
J + B = 54
J + 25 = 54
Isolate the variable.
J + 25 = 54
-25 -25
J = 29 years old
Check your answer. Pick whatever equation in the system and plug in your answers.
J = 4 + B
29 = 4 + 25
29 = 29
Answer:
The system of inequalities is
y\geq 3x-2
y<-(1/5)x+2
Step-by-step explanation:
step 1
Find the equation of the solid blue line
Let
A(0,-2), B(1,1)
Find the slope of AB
m=(1+2)/(1-0)=3
The equation of the line into slope intercept form is equal to
y=mx+b
we have
m=3
b=-2 - ----> the point A is the y-intercept
substitute
y=3x-2 - -----> equation of the solid blue line
The solution of the inequality is the shaded area above the solid line
therefore
The first inequality is
y\geq 3x-2
C(0,2), D(5,1)
step 2
Find the equation of the dashed red line
Let
Find the slope of CD
m=(1-2)/(5-0)=-1/5
The equation of the line into slope intercept form is equal to
y=mx+b
we have
m=-1/5
b=2 ----> the point C is the y-intercept
substitute
y=-(1/5)x+2 -----> equation of the dashed red line
The solution of the inequality is the shaded area below the dashed line
therefore
The second inequality is
y<-(1/5)x+2
The system of inequalities is
y\geq 3x-2
y<-(1/5)x+2
Answer:
40.8
Step-by-step explanation:
Answer:
7/24
Step-by-step explanation:
(1/4+6/18)/2=7/24