Mathematics, 05.10.2019 07:30 genyjoannerubiera

The distance a spring will stretch varies directly with how much weight is attached to the spring. if a spring stretches 9 inches with 100 pounds attached, how far will it stretch with 90 pounds attached? round to the nearest tenth of an inch.

a. 8.1 in.
b. 8.9 in.
c. 10 in.
d. 9.1 in.

Answers: 1

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Answers

Answer from: uaodiase

Answer A - 8,1in

explanation
------------------------------------------------------------------------
! Inches !    Inches ! Pounds   ! Pounds !
! 9 : 10 !    Sum !       ! sum !
-------------------------------------------------------------------------
!    0,9 ! 0,9*1 = 09 ! 10    ! 1*10 = 10 !
------------------------------------------------------------------------\
! 0,9 ! 0.9*2 = 1,8 !    10 ! 2*10 = 2 0 !
! 0,9 ! ! 10 ! !
-----------------------------------------------------------------------
!   0,9 ! 0,9*3 = 2,7 ! 10    ! !
!    0,9 ! ! 10    ! 3*10 = 30   !
! 0,9 ! ! 10 ! !
-------------------------------------------------------------------------
  for every pound falls 0.9 inches
derived unit of proportion :

$\frac{9 inches}{100 pounds} = \frac{0,9 inches}{10pounds} \\ \\ = \frac{0,9 * 9 inches}{10 *9 pounds} = \frac{8,1 inches}{90pounds}$

Answer from: Quest

108

Answer from: Quest

the system of inequalities is

$y> (1/3)x$

$y\leq-x+4$

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

$m=y/x=1/3$

the equation of the dashed line is

$y=(1/3)x$

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

$y> (1/3)x$

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

$m=(4-0)/(0-4)=-1$

the equation of the solid line is

$y=-x+4$

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

$y\leq-x+4$

step 3

the system of inequalities is

$y> (1/3)x$

$y\leq-x+4$

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The distance a spring will stretch varies directly with how much weight is attached to the spring. i...