Yadira's mom is buying hot dogs and hot dog buns for the family barbecue. Hot dogs come in packs of 12and hot dog buns come in packs of 9. The store does not sell parts of a pack and Yadira's mom wants the same number of hot dogs as hot dog buns. What is the smallest total number of hot dogs that Yadira's mom can purchase?

36

Step-by-step explanation:

Given:

Hot dogs come in packs of 12

Hot dog buns come in packs of 9.

The store does not sell parts of a pack.

Yadira's mom wants the same number of hot dogs as hot dog buns.

Question asked:

What is the smallest total number of hot dogs that Yadira's mom can purchase?

Solution:

As the store does not sell parts of a pack and Hot dogs come in packs of 12 and Hot dog buns come in packs of 9, we will have to calculate the minimum number of hot dogs as well as hot dog buns that Yadira's mom can purchase by using Lowest Common Multiple:-

Yadira's mom can purchase hot dog (multiples of 12)  - 12 , 24, 36, 48, 60...

Yadira's mom can purchase hot dog buns (multiples of 9) - 9, 18, 27, 36,45..

Thus, we found that she can purchase number of hot dogs = 12, 24, 36, 48 and so on...

And she can purchase number of hot dog buns = 9, 18, 27, 36, 45

But here we have to calculate the smallest number of hot dogs that she can purchase and hence it is 36.

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!