I believe the answer you are looking for is -9<span />
Answer:
10 small boxes and 12 large boxes
Step-by-step explanation:
Let x = number of large boxes
Let y = number of small boxes
We are told that;
volume of each small box = 6 cubic feet
volume of each large box = 22 cubic feet.
Total volume = 324 ft³
Thus;
6x + 22y = 324 - - - (eq 1)
We are told that 22 boxes of paper were shipped.
Thus; x + y = 22 - - - (eq 2)
Making x the subject in eq 2 gives;
x = 22 - y
Put 22 - y for x in eq 1;
6(22 - y) + 22y = 324
132 - 6y + 22y = 324
16y = 324 - 132
16y = 192
y = 192/16
y = 12
So, x = 22 - 12 = 10
Answer:
-1/2, 7
Step-by-step explanation:
Given the expression
(x -7)(-4x -2)=0
This means that;
x - 7 = 0 and -4x - 2 = 0
x = 0+7 snd -4x = 2
x = 7 and x = -2/4
x = 7 and -1/2
Hence the solution from least to greatest is -1/2, 7
Answer:
The length and width of the parking lot is 78 meters and 114 meters respectively.
Step-by-step explanation:
Given;
Perimeter of the parking lot = 
Solution,
Let the width of the parking lot be x.
Then, according to question length = (x-36).
The perimeter of a rectangle is sum of all the sides of rectangle. Which is given by an expression;
Now substituting the values, we get;
Width = 
Length = 
Hence the length and width of the parking lot is 78 meters and 114 meters respectively.
Answer:
x = 1, y = 6
or
x = 5, y = 2.
Step-by-step explanation:
y=x2−7x+12
y=−x+7
Substitute for y in the first equation:
- x + 7 = x^2 - 7x + 12
x^2 - 7x + x + 12 - 7 = 0
x^2 - 6x + 5 = 0
(x - 1)(x - 5) = 0
x = 1, 5.
When x = 1, y = -1 + 7 = 6.
when x = 5, y = -5+7 = 2.
