Abracelet is made of 14 red beads and 19 gold beads. a necklace is made of 84 red bead and 133 gold beads. do the two pieces of jewelry have the same ratio of red beads to gold beads?

No

Step-by-step explanation:

Lets find out the ratios for the bracelet and the necklace. Remember that a ratio between a and b if the relation between the amounts of a respect to the amount of b and can be written as a:b or a/b.

So, the bracelet has 14 red and 19 gold, so the ratio between red and gold is 14/19. We cannot simplify this ratio as there are not common factors between 14 and 19, because 19 is a prime number.

Now lets find out the ratio for the necklace. As there are 84 red and 133 gold the ratio will be 84/133. For this ratio to be equal to 14/19 it should be that 84 is multiple of 14 and 133 multiple of 19, and both multiples must the same, this is:

84/133 = 14/19

or

84/14 = 133/19

And we know that 84/14 = 42/7 = 6

And 133/19 = 7

So, both ratios are not equal. If we verify on a calculator we have:

14/19 = 0.743

84/133 = 0.63

Thus, we can confirm they do not have the same ratio of red to gold beads.

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

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step-by-step explanation: