Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

PLEASE HELP

Which linear equation can be derived from this proportion?

12/( x + 8 ) = 7/( x + 1 )



A.
12x + 8 = 7x + 1
B.
12x + 12 = 7x + 56
C.
12x + 1 = 7x + 8
D.
12x + 96 = 7x + 7

Sagot :

Cross multiply to get
7(x+8)=12(x+1)

7x+56=12x+12

Therefore your answer is B

Hope this helped :)
fieryanswererft

Answer:

B. 12x + 12 = 7x + 56

Explanation:

[tex]Given : \ \sf \dfrac{12}{ x +8} = \dfrac{7}{x + 1}[/tex]

cross multiply formula: if  [tex]\sf \dfrac{a}{b} = \dfrac{c}{d}[/tex]  then [tex]\sf ad = cb[/tex]

[tex]\sf 12(x +1) = 7(x + 8)[/tex]

distribute inside parenthesis

[tex]\sf 12x + 12= 7x + 56[/tex]

collect like terms

[tex]\sf 12x -7x = 56 - 12[/tex]

simplify the following

[tex]\sf 5x = 44[/tex]

dividing both sides by 5

[tex]\sf x = 8.8[/tex]

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.