Answer:
-2(57+8) = 14 + 6x
step 1 -2 x 57 and -2 x 8 =
step 2 -114-16 = 14 + 6x
+16 +16
step 3 -114 = 30 + 6x
-30 -30
step 4 -144 = 6x
-144/6 6/6
x = -24
-2(5x + 8) = 14 + 6x
step 1 -2 x 5x and -2 x 8 =
-10x - 16 = 14 + 6x
step 2 -6x -6x
-16x -16 = 14
step 3 +16 +16
-16x = 30
step 4 -16/-16 30/-16
x= -15/8
For this case we define the following variables:
x: Number of party dresses
y: Number of suits
You have 30 hours per week to cut, that is, the first equation is given by:

It is also known that 25 hours per week are available for sewing, that is:

It has a system of two equations with two unknowns, solving we have:

Multiplying the second equation by -1:

Adding up:

Substituting x in the first equation:

Clearing and:


Thus, per week, the designer can produce 5 party dresses and 5 suits working at her maximum capacity.
Answer:
5 Party dresses
5 Suits
Answer:
Area of rectangle is
Perimeter of Rectangle is
.
Step-by-step explanation:
Given:
Let the width of the rectangle be 'w'.
Also Given:
A rectangle has a length that is 5 meters greater than the width.
Length of rectangle = 
We need to write expression for Area of rectangle and Perimeter of rectangle.
Solution:
Now we know that;
Perimeter of rectangle is equal to twice the sum of the length and width.
framing in equation form we get;
Perimeter of rectangle = 
Also We know that;
Area of rectangle is length times width.
framing in equation form we get;
Area of rectangle= 
Hence Area of rectangle is
and Perimeter of Rectangle is
.
Answer:
Step-by-step explanation:
At most, the area is 140 ---> the area is (3x + 2)10
So, as an inequality, you get (3x + 2) 10 ≤ 140
Simplify
30x + 20 ≤ 140
30x ≤ 120
x ≤ 4
Can 3x + 2 be 15?
Plug in the greatest value of x, and get 3*4 + 2, which is 12 + 2, which is 14
No, at most the length can be 14, which is less than 15.
Answer:
7.5
Step-by-step explanation:
The area of a triangle is found by the formula A=1/2bh, where b is the base length, and h is the height. If we count the squares, we can find that the base length of the triangle is 3 units, and the height is 5 units. If we plug those numbers into the equation to get A=1/2*3*5, we can solve to get A=7.5