Elise saved $184. she bought a scarf, a necklace, and a notebook. after her purchases, she still had $39.50. the scarf cost three-fifths the cost of the necklace, and the notebook was one-sixth as much as the scarf. what was the cost of each item? how much more did the necklace cost than the notebook?

Necklace: $85,

Notebook: $8.5

Scarf: $51

Necklace costs $76.5 more than the notebook.

Step-by-step explanation:

Let x represent cost of the necklace.

We have been given that Elise saved $184. She bought a scarf, a necklace, and a notebook.    

The scarf cost three-fifths the cost of the necklace, so the cost of scarf would be .

The notebook was one-sixth as much as the scarf, so the cost of notebook would be .

We are also told that she still have $39.50, so the cost of all items would be:

Now, we will equate cost of all items equal to $144.5 as:

Make a common denominator:

Therefore, the cost of necklace is $85.

Cost of notebook:

Therefore, the cost of notebook is $8.5.

Cost of scarf: .

Therefore, the cost of scarf is $51.

To find the difference between cost of necklace and notebook, we will subtract $8.5 from $85 as:

Therefore, necklace costs $76.5 more than the notebook.

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step-by-step explanation:

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!