Get expert advice and insights on any topic with IDNLearn.com. Join our community to receive prompt and reliable responses to your questions from experienced professionals.

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].