Dora is thinking of a number between 500 and 600 When she divides it by a 1-digit number it has a remainder of 4
What could Dora’s number be?

9514 1404 393

  500 ÷ 8 = 62 r 4, for example

Step-by-step explanation:

In order to have a remainder of 4, the divisor must be greater than 4, so could be any of 5, 6, 7, 8, 9.

The corresponding numbers could be any of ...

  504 +5n . . . 0 ≤ n ≤ 19

  502 +6n . . . 0 ≤ n ≤ 16

  501 +7n . . . 0 ≤ n ≤ 14

  500 +8n . . . 0 ≤ n ≤ 12

  508 +9n . . . 0 ≤ n ≤ 10

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For example, with the divisor being 6, and n=13, the number could be ...

  580 = 6·96 + 4

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