Answered

Find detailed and accurate answers to your questions on IDNLearn.com. Get prompt and accurate answers to your questions from our community of experts who are always ready to help.

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 greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Thank you for trusting IDNLearn.com. We’re dedicated to providing accurate answers, so visit us again for more solutions.