Answer:
6 paper towel rolls
Step-by-step explanation:
If she uses 1/2 of a paper towel roll each week and there are twelve weeks, divide the number of weeks by the number of paper towel rolls she uses.
<u>Given:</u>
A composite figure made up of a rectangle and two pentagons.
<u>To find:</u>
The area of the composite shape.
<u>Solution:</u>
If a pentagon has a side length of s and an apothem of a, the area of the pentagon is given by

In the given diagram, the pentagons have side lengths of 8 units and an apothem of 5.5 units.
The area of a pentagon
sq units.
The area of 2 such pentagons
square units.
The rectangle has a length of 14 units and a width of 8 units.
The area of a rectangle 
The area of the rectangle
square units.
The area of the composite shape is the sum of the individual areas of the different shapes.
The area of the composite shape
sq units.
The area of the composite shape is option A. 332 sq units.
The answers are:
18 to 24 = 
5 to 15 = 
14:42 = 
15 cents to 18 cents = 
Explanation:
To write a fraction using a ratio, simply use the first number as the numerator (top number), in this case, the numbers 18, 5, 14, and 15, and the second or biggest number as a denominator (bottom number), in this case, the numbers 24, 15, 42 and 18. This means the fractions are
,
,
, and
.
The second step is to reduce or simplify the fractions, which means the numbers in a fraction are divided by the same factor (a number that divides another without a remainder). Additionally, to do this, it is important to reduce the fraction to its minimum.
divide this by 6, which is equivalent to 
divide this by 5, which is equivalent to 
divide this by 14. which is equivalent to 
divide this by 3, which is equivalent to 
Answer:
The bottom left system of equations has no solutions.
Step-by-step explanation:
A solution to the system of equations is a point where the graphs of equations intersect, because the intersection point represents a point that is common to both equations; Therefore, a system that has no solutions, will have graphs that will never intersect.
Now, looking at the 4 graphs given, we see that the upper-left graph represents lines which intersect; therefore, this system has a solution.
The upper-right graph represents only one equation and not a system—it could well be that the red line hides another line that is exactly beneath it, in which case the system would have infinitely many solutions.
The bottom-left graph represents lines that are parallel—they are never going to meet; therefore, this system has no solutions.
The bottom-right graph represents lines that have a point of intersect, and therefore, have a solution.
Thus only the bottom-right graph has no solutions.