Catherine can paint a house in 15 hours. Dan can paint a house in 30 hours. How long will it take them working together.

The length of time that it will take them to work together is 10 hours.

Given:

Catherine Length of time=15 hours

Dan length of time=30 hours

First step is to formulate

30×15÷(30+15)

Second step is to calculate the product or quotient

450÷45

Now let determine the length of time

Length of time=10 hours

Inconclusion the length of time that it will take them to work together is 10 hours.

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Step-by-step explanation:

Step 1: Know the key information

Catherine= 15 hours

Dan=30 hours            

Time to work together = x

Step 2: Put them as fractions

So: Catherine=1/15

Dan=1/30

Time to work together =1/x

Therefore, our equation will be: 1/15+1/30=1/x

Step 3: Our lowest common denominator is 30x

Therefore,

30x/15=2x

30x/30=x

30x/x=30

Step 4: put the x we found into a equation

Our equation would be:

2x+x=30 which makes

3x=30 (divide 30 by 3 as 30 is a multiple of 3)

x=10

Therefore, when working together it would take 10 hours

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 ☕

answer: i realy don't get it that much can you me figer it out pleas you

step-by-step explanation: