Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Solve the equation for [tex]w[/tex]:

[tex]\[ \frac{w}{1.4} - 3.7 = 6.5 \][/tex]

A. 2
B. 3.92
C. 14.28
D. 7.3

Sagot :

To solve the equation for [tex]\( w \)[/tex] in
[tex]\[ \frac{w}{1.4} - 3.7 = 6.5, \][/tex]
follow these steps:

1. Isolate the fraction involving [tex]\( w \)[/tex]:
[tex]\[ \frac{w}{1.4} - 3.7 + 3.7 = 6.5 + 3.7 \][/tex]
Simplifying both sides, we get:
[tex]\[ \frac{w}{1.4} = 10.2. \][/tex]

2. Solve for [tex]\( w \)[/tex]:
To solve for [tex]\( w \)[/tex], multiply both sides of the equation by 1.4:
[tex]\[ w = 10.2 \times 1.4. \][/tex]
When performing this multiplication, we get:
[tex]\[ w = 14.28. \][/tex]

Hence, the value of [tex]\( w \)[/tex] is:
[tex]\[ \boxed{14.28} \][/tex]