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Sagot :
Answer:
x = 2.16
Step-by-step explanation:
Question :
[tex]\frac{3.5x}{9} =\frac{4.2}{5}[/tex]
Use cross multiplication.
3.5x × 5 = 9 × 4.2
17.5x = 37.8
Divide both sides by 17.5.
x = 2.16
Let me know if you have any other questions. :-)
hi there!
[tex] = \tt \color{red}x = \frac{126}{65} \\ \\in \: \: alternate \: \: form \\ \tt \color{red} x = 1 \frac{61}{65} \: \: and \: \: x = 1.9384615[/tex]
Step-by-step explanation:
[tex]\tt \color{grey} \frac{3.9x}{9} = \frac{4.2}{5} [/tex]
- convert the decimal into fraction
[tex]\tt \color{grey} \frac{39}{ \frac{10}{9} } x = \frac{4.2}{5} [/tex]
- divide the numbers
[tex]\tt \color{grey} \frac{39}{ \frac{10}{9} } x = 0.84[/tex]
- calculate the product
[tex]\tt \color{grey} \frac{39x}{ \frac{10}{9} } = 0.84[/tex]
[tex] \bold \color{wheat} \tiny \: simplify \: \: the \: \: complex \: \: fraction \: \: \frac{13x}{30 = 0.84} \: multiplying \: \: both \: \: sides of \: \: the \: \: equation \: by \: \frac{30}{13} [/tex]
[tex]\tt \color{grey}x = \frac{30}{13 } \times 0.84[/tex]
- convert a decimal into fraction
[tex]\tt \color{grey}x = \frac{30}{13} \times \frac{21}{25} [/tex]
- reduce the number 30 and 25 with the greatest common factor of 5
[tex]\tt \color{grey}x = \frac{6}{13} \times \frac{21}{5} [/tex]
- multiplying the fractions
[tex]\tt \color{red}x = \frac{126}{65} \\ \\ \small \tt\color{green}in \: \: alternate \: \: form \\ \\ \tt \color{aqua}x = 1 \frac{61}{65} \: and \: \: x = 1.9384615[/tex]
hope it helps
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