Combine the integers: 9+(−4)

9 answers

The sum of 9 and -4 is 5.
What is the value of xyz if x=1, y=2, z=−1 (1 point)
To find the value of xyz when x = 1, y = 2, and z = -1, you simply multiply the values together.

So, xyz = 1 * 2 * (-1) = -2.

Therefore, the value of xyz is -2.
\Answer these three questions.

What is the simplified form of the following expression? 6xy−3x (1 point) Question 2 What is the algebraic expression for the following word phrase? the sum of two times a number and three (1 point) Question 3 What is the simplified form of the following expression? −(3x−2y) (1 point) Responses −3x−2y negative 3 x minus 2 y 3x+2y 3 x plus 2 y −3x+2y negative 3 x plus 2 y 3x−2y
Question 1:

The simplified form of the expression 6xy - 3x is:
3x(2y - 1)

Question 2:

The algebraic expression for the word phrase "the sum of two times a number and three" is:
2n + 3

Question 3:

The simplified form of the expression -(3x - 2y) is:
-3x + 2y
Answer these 4 questions

Simplify the following expression: 14(8x−12) (1 point) Question 2 Simplify. Answer in fraction form. 78−13 (1 point) Question 3 Simplify the following: 4(4+1)÷(3−1) (1 point) Question 4 Simplify using the order of operations: [[7+(2+2)+23]×−5 (1 point)
Question 1:

To simplify the expression 14(8x - 12), we distribute the 14 to both terms inside the parentheses.

14 * 8x = 112x
14 * -12 = -168

So, the simplified expression is:
112x - 168

Question 2:

To simplify 78 - 13, we subtract 13 from 78.

78 - 13 = 65

So, the simplified form is 65.

Question 3:

To simplify 4(4 + 1) ÷ (3 - 1), we first perform the operations inside the parentheses.

4 + 1 = 5
3 - 1 = 2

So, the expression simplifies to:
4 * 5 ÷ 2

Next, we multiply 4 by 5:

4 * 5 = 20

Finally, we divide 20 by 2:

20 ÷ 2 = 10

So, the simplified form is 10.

Question 4:

To simplify [[7 + (2 + 2) + 23] × -5, we follow the order of operations.

First, we calculate the expression inside the inner parentheses:

2 + 2 = 4

Next, we simplify the expression inside the outer parentheses:

7 + 4 + 23 = 34

Finally, we multiply 34 by -5:

34 × -5 = -170

So, the simplified form is -170.
Simplify. Answer in fraction form. 7/8-1/3
To simplify 7/8 - 1/3, you need to find a common denominator for the fractions.

The least common multiple (LCM) of 8 and 3 is 24.

Multiplying the numerator and denominator of the first fraction (7/8) by 3, we get:
(7 * 3) / (8 * 3) = 21/24

Multiplying the numerator and denominator of the second fraction (1/3) by 8, we get:
(1 * 8) / (3 * 8) = 8/24

Now that both fractions have a common denominator of 24, we can subtract them:
21/24 - 8/24 = (21 - 8) / 24 = 13/24

Therefore, the simplified form of 7/8 - 1/3 is 13/24.
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