Complete the statement using the specified property.

$$\begin{matrix} \text{Property} & \text{Statement}\\ \text{Commutative Property of Multiplication} & 3 \cdot (n \cdot 5) = \\ \end{matrix}$$

"

What kinds of processes require the use of diamond tools?

Rewrite the following dialog, adding punctuation, capitalization, indentation, and speaker tags as needed. - You're kidding! Neil said. Marisa explained we had to read it in class.

Cara's muffin recipe calls for

$$1\frac{1}{2}$$

cups of flour for the muffins and

$$\frac{1}{4}$$

cup of flour for the topping. If she makes

$$\frac{1}{2}$$

of the original recipe, how much flour will she use?

For matrix

$$\begin{bmatrix}2&4\\-1&-2\end{bmatrix}$$

compute its eigenvalues and eigenvector(s), and sketch the eigenspace if the eigenvectors are real.

The numerator of a fraction is five less than the denominator. The sum of the fraction and six times its reciprocal is $\frac { 25 } { 2 } .$ Find the numerator and denominator assuming that each is an integer.

What is the difference between adaptation and evolution?

Write the phrase as an expression. Then evaluate when x = 3 and y = 15. twice the sum of a number x and 8

The creatures on a distant planet use the symbols $\blacksquare, \blacklozenge, \bigstar, and \bullet$for the four operations. a. Use the codes to decide which symbol represents addition and which symbol represents multiplication. Explain your reasoning. $3 \bullet 4 = 4 \bullet 3,$ $3 \bigstar 4 = 4 \bigstar 3,$ $2\bullet (5 \bullet 3) = (2 \bullet 5) \bullet 3,$ $2 \bigstar (5 \bigstar 3) = ( 2 \bigstar 5) \bigstar 3,$ $0 \bullet 4 = 0,$ $0 \bigstar 4 = 4$ b. Make up your own symbols for addition and multiplication. Write codes using your symbols. Trade codes with a classmate. Decide which symbol represents addition and which symbol represents multiplication.

Use the Distributive Property to simplify the expression. 15(p + 4 + 2)

Factor the expression using the GCF. 60 + 100

Complete the statement using the specified property.

$$\begin{matrix} \text{Property} & \text{Statement}\\ \text{Addition Property of Zero} & (b + 0) + 6 =\\ \end{matrix}$$

Use the Distributive Property to simplify the expression. 11(9 + d)

How do you use mental math to multiply two numbers? Give examples to support your explanation.