The length of a thread is 40 feet. the thread is cut into two parts such that one part is 12 cm shorter than the other part. find the length of the longer part. m. epoy and junjun can do a certain job in 10 hours if they work together. if epoy can do job in 15 hours, how long will it take junjun to do the job alone? search project: do a research on the different patterns found in objects, plants, and and that can be modeled mathematically. vects, plants, and animals

Step-by-step explanation:

First we have 40 ft = 1219.2 cm (we need need to work in the same unit sistem)

Then we have

X+y=1219.2

X=y+12

Change the x in the first equation for 'y+12' and qe have

Y +12 + y = 1219.2

2y + 12 = 1219.2

2y=1219.2-12

Y=1207.2/2

Y=603.6 cm

And the longest side x=615.6cm

M) E + J =15 hs

If Epoy can do the job in 15 hs means that in 10 hs he is going to do 2/3 of the job ans Junjun will have to do the 1/3 of thejob.

If Junjun can do 1/3 en 15 hs, he would need 45 hs to do it himself

probability for j is 1/4

while

a is 1/6

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be