Iwill award brainliest and 300 points to whoever can get me the correct answer the fastest

christopher orders a 3 topping pizza for $15.35, and a 5 topping pizza for $17.95. write and solve a system of linear equations to find the price of a plain cheese pizza (no toppings) and the cost of each topping.

Step-by-step explanation:

m+5n=17.95

Subtracting the first from the second, we get:

2n=2.60

n=1.3

Toppings are $1.30 each; and a plain cheese pizza costs $11.45

the price of a plain cheese pizza is $11.45

Step-by-step explanation:let toppings = x

And a plain pizza = y

Equation 1: 3x+y=$15.35

Equation 2: 5x+y=$17.95

Subtracting equation 1 from equation 2

It would give: 2x+0y=$2.6

X=2.6/2

X=$1.3

Substituting x=$1.3 in equation 1

It would give; 3($1.3)+y=15.35

$3.9 +y=$15.35

Y=$15.35-$3.9

Y=$11.45

Y is the price of plain pizza

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.

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.