Answered

Get comprehensive solutions to your problems with IDNLearn.com. Our platform offers detailed and accurate responses from experts, helping you navigate any topic with confidence.

Solve for [tex]\( x \)[/tex]:

[tex]\[ 3x = 6x - 2 \][/tex]




Fill in the blanks:

[tex]\[
\begin{array}{rr}
8 \frac{3}{8} = \square & 7 \frac{1}{5} \\
10 \frac{2}{8} = \square & 4 \frac{2}{6} \\
4 \frac{2}{4} = \square & 2 \frac{1}{3}
\end{array}
\][/tex]

Sagot :

GinnyAnsweridn
Let's convert each of the mixed numbers to decimal form step-by-step:

### Step 1: Convert 8 [tex]\(\frac{3}{8}\)[/tex] and 7 [tex]\(\frac{1}{5}\)[/tex]
1. 8 [tex]\(\frac{3}{8}\)[/tex]:
- Whole number: 8
- Fractional part: [tex]\(\frac{3}{8}\)[/tex]

To convert this to a decimal, we use:
[tex]\[ 8 \frac{3}{8} = 8 + \frac{3}{8} = 8 + 0.375 = 8.375 \][/tex]

2. 7 [tex]\(\frac{1}{5}\)[/tex]:
- Whole number: 7
- Fractional part: [tex]\(\frac{1}{5}\)[/tex]

To convert this to a decimal, we use:
[tex]\[ 7 \frac{1}{5} = 7 + \frac{1}{5} = 7 + 0.2 = 7.2 \][/tex]

### Step 2: Convert 10 [tex]\(\frac{2}{8}\)[/tex] and 4 [tex]\(\frac{2}{6}\)[/tex]
1. 10 [tex]\(\frac{2}{8}\)[/tex]:
- Whole number: 10
- Fractional part: [tex]\(\frac{2}{8}\)[/tex]

To convert this to a decimal, we use:
[tex]\[ 10 \frac{2}{8} = 10 + \frac{2}{8} = 10 + 0.25 = 10.25 \][/tex]

2. 4 [tex]\(\frac{2}{6}\)[/tex]:
- Whole number: 4
- Fractional part: [tex]\(\frac{2}{6}\)[/tex]

To convert this to a decimal, we use:
[tex]\[ 4 \frac{2}{6} = 4 + \frac{2}{6} = 4 + \frac{1}{3} \approx 4 + 0.3333 = 4.3333 \][/tex]

### Step 3: Convert 4 [tex]\(\frac{2}{4}\)[/tex] and 2 [tex]\(\frac{1}{3}\)[/tex]
1. 4 [tex]\(\frac{2}{4}\)[/tex]:
- Whole number: 4
- Fractional part: [tex]\(\frac{2}{4}\)[/tex]

To convert this to a decimal, we use:
[tex]\[ 4 \frac{2}{4} = 4 + \frac{2}{4} = 4 + 0.5 = 4.5 \][/tex]

2. 2 [tex]\(\frac{1}{3}\)[/tex]:
- Whole number: 2
- Fractional part: [tex]\(\frac{1}{3}\)[/tex]

To convert this to a decimal, we use:
[tex]\[ 2 \frac{1}{3} = 2 + \frac{1}{3} \approx 2 + 0.3333 = 2.3333 \][/tex]

### Final results:

- The decimal equivalents for the mixed numbers in each row are:
- First row: [tex]\(8.375\)[/tex] and [tex]\(7.2\)[/tex]
- Second row: [tex]\(10.25\)[/tex] and [tex]\(4.3333\)[/tex]
- Third row: [tex]\(4.5\)[/tex] and [tex]\(2.3333\)[/tex]

Hence, we have:

[tex]\[ \begin{array}{ rr} 8 \frac{3}{8} = 8.375 & 7 \frac{1}{5} \approx 7.2 \\ 10 \frac{2}{8} = 10.25 & 4 \frac{2}{6} \approx 4.3333 \\ 4 \frac{2}{4} = 4.5 & 2 \frac{1}{3} \approx 2.3333 \\ \end{array} \][/tex]
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Discover insightful answers at IDNLearn.com. We appreciate your visit and look forward to assisting you again.