casey's den is 10feet longer than it is wide. If the den's area is 119 square feet, what are the dimensions of the room?

The width is 7ft and the length is 17 ft

Step-by-step explanation:

Let w represent the width of the room and L represents the length of the den.

Given that:

caseys den is 10feet longer than it is wide

Then;

w + 10 = L (1)

The area of the den = 119 ft²

Area = w × L

119 = w × L   (2)

From equation (1);

let w = L - 10.

Now we can replace the value of w into equation (2)

i.e.

(L - 10) × L = 119

L² - 10L - 119 = 0

(L + 7) ( L - 17) = 0

L + 7 = 0 or L - 17 = 0

L = - 7 ft  or L = 17 ft

Recall that:

w = L - 10

w = -7 - 10    or    w = 17 - 10

w = -17         or     w = 7 ft

The area of the den can now be:

Area = -17 ft × - 7ft   or       17ft ×  7 ft

Area = 119 ft²           or        119 ft²

Since it is ideal to use the positive integer,

Then the width is 7ft and the length is 17 ft

4 packs of water and 7 packs of candy bars

step-by-step explanation:

35x4=140

140/20=7

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab  in the y coordinate 

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

  x coordinate 

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

  y coordinate 

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

  x  coordinate 

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

  y  coordinate 

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

  x  coordinate 

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

  y  coordinate 

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

  x  coordinate 

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

  y  coordinate 

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

  x  coordinate 

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

  y  coordinate 

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

  x  coordinate 

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

  y  coordinate 

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

  x  coordinate 

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

  y  coordinate 

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕