A quadrilatetal with two different pairs of equal and parallel sides.
Answer:
2
Step-by-step explanation:
1/2 cup = 2/4 cups = 2 × 1/4 cup
Alonzo can make 2 batches that each require 1/4 cup.
Answer:
8 dollars
Step-by-step explanation:
First, convert the yards to decimals, 1/8 is equivalent to .125, therefore 1 1/8 yards is 1.125
Next, since we know that 1 1/8 yards of fabric is $9, we can divide 9 by 1.125 in order to find the cost of one yard of fabric
9/1.125=8, therefore your final answer is $8
Don't forget to put units if this is a test question (or practically in any case), the unit in this case is $(dollars)
Explanation
Problem #2
We must find the solution to the following system of inequalities:

(1) We solve for y the first inequality:

Now, we multiply both sides of the inequality by (-1), this changes the signs on both sides and inverts the inequality symbol:

The solution to this inequality is the set of all the points (x, y) over the line:

This line has:
• slope m = 3/2,
,
• y-intercept b = -2.
(2) We solve for y the second inequality:

The solution to this inequality is the set of all the points (x, y) below the line:

This line has:
• slope m = -1/3,
,
• y-intercept b = 2.
(3) Plotting the lines of points (1) and (2), and painting the region:
• over the line from point (1),
,
• and below the line from point (2),
we get the following graph:
Answer
The points that satisfy both inequalities are given by the intersection of the blue and red regions: