**Answer:**

x < -10/3 OR x > 20/3

**Step-by-step explanation:**

|5 - 3x| - 3 > 12

|5 - 3x| > 15

since it's absolute value, you have 2 scenarios to solve:

1) 5 - 3x > 15

-3x > 10

x < -10/3 (when dividing or multiplying by a negative, switch the symbol)

2) -(5 - 3x) > 15

-5 + 3x > 15

3x > 20

x > 20/3

**Answer:**

1.60x=32.00

**Step-by-step explanation:**

Since you do not how much gallons of gas he bought you would use the variable x.

The answer is

To solve this problem, just plug

into the function and simplify.

**1.** Selena has to walk <em>to</em> school and <em>from </em>school.

That means that each day, she walks the distance from her house to the school twice.

If she walks 2/3 in a day, the distance must be half of that, or **1/3**.

**2.** 3 batches = 3/4 cup.

Divide each side by 3.

1 batch = **1/4 cup**.

**3. **5 eighths minus 1 eighth = 4 eighths.

Since we have the same bottom number, we don't need to do anything special. This problem is just the same as something like <em>5 apples - 1 apple.</em>

**4. **First, let's convert 6 into thirds.

6 × 3 = 18

Therefore, 6 = 18/3.

Add 6 and 2/3.

18/3 + 2/3

**20/3**

**5. **To be a composite number, a number needs to be divisible by something besides 1 or itself.

Check your divisibility rules...

**39** is divisible by 3 (39 ÷ 3 = 13), so this could be his house number.

**6****. **12 cupcakes - 9 chocolate = 3 vanilla.

3 vanilla cupcakes out of 12. (3/12)

We can simplify this fraction. 3 and 12 are both divisible by 3.

3/12 = 3÷3 / 12÷3 = **1/4**

Correct answer only

Step one— Reduce the fraction with 2, and that should give you—(4x^3y^2)^1/5

After that use a^m/n =n square root of a^m and the final solution should be—5 square root of 4x^3y^2