Answer:
$0.50 for a pack of juice.
Step-by-step explanation:
You are finding the unit rate of the cost of each unit, or one box of juice. In this case, there is 8 juice boxes in the pack, which costs you $4. Divide 4 with 8:
4/8 = 1/2 = 0.5
$0.50 is the cost per pack of juice.
~
Answer:
The solution is x=1,y=2,z=3
Step-by-step explanation:
The given system of equations is ;\
2x−3y+4z=8...(1)
3x+4y−5z=−4...(2)
4x−5y+6z=12...(3)
Make x the subject in equation (1)
Put equation (4) into equation (2) and (3)
Multiply through by;
Expand;
Simplify;
Equation (4) in (3)
Put equation (6) into equation (5)
z=3
Put z=3 into equation (6)
y=2(3)-4=2
Put y=2 and z=3 into equation 4
The solution is x=1,y=2,z=3
12 inches in 1 foot
12*12*12 cubic inches in 1 cubic foot = 1728 in^2
So 7125 in^3 = 7125/1728 = 4.123 ft^3 to nearest thousandth
The answer to your question is the last option. “An online survey for sharing data about their cars”. Have a great day
Answer:
\[y = (-1/2) * x + 6\]
Step-by-step explanation:
Equation of the given line: y=2x+2
Hence the slope of the line is given by 2
Any line which is perpendicular to the given line will have a slope m such that m*2 = -1
Or, \[m = \frac{-1}{2}\]
Only options 2 and 3 satisfy this condition.
The line is also supposed to pass through the point (6,3).
Substituting these values in the option 2:
\[3 = (-1/2) * 6 + 3\]
Or, \[ 3 =0 \] which is false . Hence option 2 is not valid.
Now substituting (6,3) in option 3:
\[3 = (-1/2) * 6 + 6\]
Or, \[ 3 =3 \] which is true . Hence option 3 is the required equation of the line.
