The watch Bea would like to buy costs $10 less than 2 times the amount she has saved. The watch costs $50.
How much money does Bea have saved?
Choose the steps that show how to solve this problem using arithmetic.
O A.
1. Start with the cost of the watch: 50.
2. Subtract 10: 50 - 10 = 40.
3. Multiply by 2: 40.2 = 80
So, Bea has $80 saved.
OB.
1. Start with the cost of the
watch: 50
2. Add 10: 50 + 10 = 60
3. Divide by 2: 60 - 2 = 30.
So, Bea has $30 saved.
C.
1. Start with the cost of the watch: 50.
D.
1.start with the cost of the watch:50
2.subtract 10:50 -10 = 40
3.divide by 2: 40 divided by 2 =20
so bar has $20 saved.

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.