What is the solution of x in 2-3(6-2x)=1/2(10x-8)

Mathematics

1 answer:

avanturin [10]3 years ago

4 0

Answer:

answer is 12

....

...

. :-)))

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Jared has 96 books to arrange on 6 shelves of a bookcase. He wants each shelf to have the same number of books. Using the distri

anygoal [31]

60 + 36 = 96
(6x10)+(6x6 )
96-60=36
10+6=16

96 ÷ 6 = 16
6x16=96
Jared can put 16 books in each shelf.

5 0

3 years ago

What is the true solution to the equation below?

Naddik [55]

Yeeee

assuming your equaiton is
$2ln(e^{ln(2x)})-ln(e^{ln(10x)})=ln(30)$

remember some nice log rules
$log_a(b)=c$ translates to $a^c=b$
and
$a^{log_a(b)}=b$
and
$xlog_c(b)=log_c(b^x)$
and
$ln(x)=log_e(x)$
and
$log(a)-log(b)=log(\frac{a}{b})$
and
if $log(a)=log(b)$ then a=b

so

we can simplify a bit of stuff here

the $e^{ln(2x)} \space\ and \space\ the \space\ e^{ln(10x)}$ can be simplified to $2x \space\ and \space\ 10x$

so we gots now

$2ln(2x)-ln(10x)=ln(30)$
$ln((2x)^2)-ln(10x)=ln(30)$
$ln(4x^2)-ln(10x)=ln(30)$
$ln(\frac{4x^2}{10x})=ln(30)$
same base so
$\frac{4x^2}{10x}=30$
$\frac{2x}{5}=30$
times both sides by 5
$2x=150$
divide both sides by 2
$x=75$
answer is x=75

5 0

3 years ago

Please help me answer this.

Mariulka [41]

Answer:

(a) 3

Step-by-step explanation:

Calculate the slope m of the line given using the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0,3) and (x₂, y₂ ) = (3, 2)

m = $\frac{2-3}{3-0}$ = - $\frac{1}{3}$