Select ALL the correct answers. Todd is at the grocery store purchasing ingredients for homemade granola. He needs x ounces of almonds, which are priced at m dollars per ounce in the baking section. The total cost of the other ingredients is b dollars. The following expression represents the total amount of money that Todd will spend on all of the granola ingredients.

MX + B

Todd later finds almonds in the bulk section that are half the price of those in the baking section. If he purchases the almonds in the bulk section, which of the following statements are true about the given expression?

A The value of mx + b will decrease.
B The value of mx will change.
C The value of x will change.
D The value of mx + b will increase.
E The value of b will change.
F The value of m will change.

the least common denominatore of 7 and 2 is 9

step-by-step explanation:

7+2=9

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.

yes

step-by-step explanation:

yes