Mathematics, 12.08.2020 07:01 christeinberg1

The numerator of a fraction is 8 less than the denominator of a fraction. The value of the fraction is 3/5, find the value of the fraction.

Answers: 1

Show answers

Answers

Answer from: tystevens9943

Hello!

$\huge\boxed{\frac{12}{20}}$

To find the numerator and denominator, we can set up a proportion where:

x = denominator

x -8 = numerator

$\frac{3}{5} = \frac{x-8}{x}$

Cross multiply:

3(x) = 5(x - 8)

3x = 5x - 40

Simplify:

$3x - 5x = -40\\\\-2x = -40\\\\x = 20$

Substitute in this value of x to find the numerator and denominator:

$\frac{(20) - 8}{(20)} = \frac{12}{20}$

Hope this helped you! :)

Answer from: alexandria3498

$\LARGE{ \boxed{ \rm{ \orange{ Solution:}}}}$

Let the numerator be x

It is given that,

Denominator - 8 = Numerator

Then,

⇛ Denominator- 8 = x

⇛ Denominator = x + 8

According to condition -2)

⇛ Fraction = 3/5

⇛ x/x + 8 = 3/5

Cross multiplying,

⇛ 3(x + 8) = 5x

⇛ 3x + 24 = 5x

⇛ 24 = 5x - 3x

⇛ 24 = 24

Flipping it out,

⇛ 2x = 24

⇛ x = 24/2 = 12

Then,

⇛ x + 8 = 12 + 8 = 20

Numerator = 12Denominator = 20

$\large{ \therefore{ \boxed{ \rm{ \pink{Then, \: the \: fraction = \dfrac{12}{20} }}}}}$

━━━━━━━━━━━━━━━━━━━━

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

Answer from: Quest

the solution is the point $(1,-3)$

step-by-step explanation:

we have

$3x-y=6$ > equation a

$y=x-4$ > equation b

adds equation a and equation b

$3x-y=6\\y=x--y+y=6+x-4\\3x=2+x\\3x-x=2\\2x=2\\x=1$

substitute the value of x in equation b to find the value of y

$y=(1)-4=-3$

the solution is the point $(1,-3)$

Another question on Mathematics

Mathematics, 21.06.2019 16:30

Rectangle pqrs has length a and width 4b. the x-axis bisects ps and qr what are the coordinates of the vertices

Answers: 2

Answer

Mathematics, 21.06.2019 17:00

Yosef can eat 21 jamuns while rose can eat just 15 . complete the blank. yosef can eat % more jamuns than rose.

Answers: 1

Answer

Mathematics, 21.06.2019 17:30

Can any one me with the answers to these questions asap?

Answers: 2

Answer

Mathematics, 21.06.2019 17:30

Tom wants to order tickets online so that he and three of his friends can go to a water park the cost of the tickets is 16.00 per person there is also a 2.50 one-time service fee for ordering tickets online write an expression in term of n that represents the cost for n ordering tickets online

Answers: 1

Answer

You know the right answer?

The numerator of a fraction is 8 less than the denominator of a fraction. The value of the fraction...

Questions

Mathematics, 25.02.2021 02:50

Which ordered pair is a solution to the following linear system? 5x + 4y= -14x+2y = 2...