Question

8 ian has a piece of wood that is $\frac{11}{12}$ feet long. he cuts off $\frac{7}{12}$ feet of the piece to use in a project. how much of the piece of wood does ian have left? a. $\frac{18}{12}$ ft b. $\frac{18}{24}$ ft c. $\frac{5}{12}$ ft d. $\frac{4}{12}$ ft 9 which of the following categories does this shape belong to? select the three that apply. a. polygon b. quadrilateral c. square d. parallelogram e. trapezoid f. rectangle 10 mr. rosario uses $\frac{3}{8}$ of a tank of gasoline each week to drive to and from his job. how many tanks of gasoline does mr. rosario use in 9 weeks? a. $3\frac{3}{8}$ b. $3\frac{4}{8}$ c. $4\frac{3}{8}$ d. $4\frac{5}{8}$ 11 thu is ordering supplies for her office. she orders 4 packages of pens and 5 packages of highlighters. pens come in packages of 10, and highlighters come in packages of 4. how many more pens did she buy? a. 1 b. 9 c. 20 d. 34

Explanation:

Question 8

Step1: Identify the operation

We need to subtract the length of wood used from the original length. The original length is $\frac{11}{12}$ feet and the length used is $\frac{7}{12}$ feet.
$\frac{11}{12}-\frac{7}{12}$

Step2: Subtract the fractions

Since the denominators are the same, we subtract the numerators: $\frac{11 - 7}{12}=\frac{4}{12}$ feet.

A polygon is a closed - figure made up of line segments. A quadrilateral is a 4 - sided polygon. A parallelogram has two pairs of parallel sides. The given shape has these properties. It is not a square (no right - angles and all sides not necessarily equal), not a trapezoid (has two pairs of parallel sides, trapezoid has one), and not a rectangle (no right - angles).

Step1: Set up the multiplication

Mr. Rosario uses $\frac{3}{8}$ of a tank per week. For 9 weeks, we multiply the amount per week by the number of weeks: $\frac{3}{8}\times9=\frac{3\times9}{8}=\frac{27}{8}$

Step2: Convert to a mixed number

$27\div8 = 3$ with a remainder of 3. So $\frac{27}{8}=3\frac{3}{8}$

Answer:

D. $\frac{4}{12}$ ft

Question 9