Find solutions to your problems with the help of IDNLearn.com's expert community. Get accurate and detailed answers to your questions from our dedicated community members who are always ready to help.

Rewrite the following equation to improve its readability and clarity:

[tex]\(\frac{2}{7}de = 1400\)[/tex]


Sagot :

To solve the equation [tex]\(\frac{2}{7} \cdot d = 1400\)[/tex], we need to isolate the variable [tex]\(d\)[/tex]. Here are the step-by-step instructions for solving this equation:

1. Start with the equation:
[tex]\[ \frac{2}{7} \cdot d = 1400 \][/tex]

2. To isolate [tex]\(d\)[/tex], we need to eliminate the fraction [tex]\(\frac{2}{7}\)[/tex] by multiplying both sides of the equation by the reciprocal of [tex]\(\frac{2}{7}\)[/tex], which is [tex]\(\frac{7}{2}\)[/tex].

3. Multiply both sides of the equation by [tex]\(\frac{7}{2}\)[/tex]:
[tex]\[ d = 1400 \times \frac{7}{2} \][/tex]

4. Carry out the multiplication on the right side:
[tex]\[ 1400 \times \frac{7}{2} \][/tex]

5. Simplify the multiplication:
[tex]\[ 1400 \times \frac{7}{2} = 4900.0 \][/tex]

So, the value of [tex]\( d \)[/tex] is [tex]\( 4900.0 \)[/tex].