An ice cream company manufactures and distributes ice cream cups and cones to grocery stores. the company sells the ice cream cups in packages of 12, 18, and 24 units, and the ice cream cones in packages of 14 and 21 units. which of the following statements is not true?
a) the 24 pack of cups has more ice cream than the 21 pack of cones.
b) the 12 pack of cups has more than 250 cubic inches of ice cream.
c) the 14 pack of cones has more than 350 cubic inches of ice cream.
d) the 12 pack of cups has enough ice cream to fill in a cylinder container, 8" tall and 6" wide.

A) The 24 pack of cups has more ice cream than the 21 pack of cones.

We will find the volume of 1 cone and 1 cup.

V =

r = 2 inches

h = 6 inches

V = cubic inches

V =

r = 1.5 inches

h = 3 inches

V = cubic inches

A) The 24 pack of cups has more ice cream than the 21 pack of cones.

Volume of 24 cups = cubic inches

Volume of 21 cones = cubic inches

We can see that 24 cups have less ice cream than 21 cones. So, this statement is wrong.

B) The 12 pack of cups has more than 250 cubic inches of ice cream.

Volume of 12 cups =   cubic inches

Yes, this is correct statement.

C) The 14 pack of cones has more than 350 cubic inches of ice cream.

Volume of 14 cones = cubic inches

Yes, this is correct statement.

D) the 12 pack of cups has enough ice cream to fill in a cylinder container, 8" tall and 6" wide.

Volume of cylinder with height 8 inches and radius 3 inches.

V = cubic inches

And volume of 12 cups is = cubic inches

Yes, there is enough ice cream to fill the cylinder. This is correct statement.

graph them on a graphing calculator, press 2nd trace. select intersect. hit enter until it says answer. ti 84 works best

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!