19. Find 3 consecutive integers such that twice the least integer is 12 more than the greatest
integer.

et's start by defining the three consecutive integers.

.

If x represents the least of the three, then the next consecutive integer is x+1 and the

next consecutive integer is 1 more than that ... or x + 2

.

So the three consecutive integers are x, x+1, and x+2.

.

Twice the least integer is, as you correctly wrote, 2x.

.

12 more than the greatest integer is x+2 + 12 = x + 14

.

Since these two amounts must be equal, you can write:

.

2x = x + 14

.

Now you need to get rid of the x on the right side so that you end up with all the terms

containing x on one side of the equation and everything else on the other side. You can

get rid of the x on the right side by subtracting x from the right side. But if you subtract

something from the right side, you must also subtract it from the left side to keep the

equation in balance. So subtract x from both sides. When you do that, the x disappears

from the right side and the left side becomes 2x minus x which is just x.

.

So the equation is reduced to:

.

x = 14

.

If x is 14 then the next two consecutive integers are 15 and 16 ... x+1 and x+2. So the

three consecutive integers are 14, 15, and 16.

.

Check ... the least integer is 14. Twice the least integer is 28. Is 28 actually 12 more

than the greatest integer which is 16? Yes it is, so the problem checks.

.

You were on the right track, but you just needed to know the difference in the three integers

was that they were x, x+1, and x+2. Hope this helps to show you how you could work the

problem through to get the final answer.

Step-by-step explanation:

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

50- 250 is correct i did that one too

step-by-step explanation: