Margo can purchase tile at a store for $0.59 per tile and rent a tile saw for $14. At another store she can borrow the tile saw for free if she buys tiles there for $1.29 per tile. How many tiles must she buy for the
cost to be the same at both stores?
Margo must buy
tiles for the cost to be the same at both stores.
PLSS HELPP

lmk if this helps

: • 1:33)= 8 • x

7.998 = 8x

    1 = x

•59x + 32 = 1.39x

32 = .8x

40 = x

20 tiles

Step-by-step explanation:

If she buys 60 tiles, the cost at both shops is the same.

If she buys less than 60 tiles, then the second shop is cheaper.

If she buys more than 60 tiles, then the first shop is cheaper.

Explanation:

Let the number of tiles be

x

At the first shop: Cost = $0.59 × x + $14 = 0.59x + 14

At the second shop: Cost = $ 1.29 × x = 1.29x

If the cost is the same:

1.29x = 0.59x + 14 ←solve for x

1.29x − 0.59x = 14

0.7x = 14

x = 14/0.4

x = 20 tiles

answer: y=4000x+14000

step-by-step explanation:

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.