Mathematics, 03.07.2019 21:00 pimuang50

Valentina is subtracting from. she finds the lcd to be 15y2. what is valentina's next step?

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Answer from: Derp5013

Subtract $\frac{6y+8}{3y}$ from $\frac{2y}{5y^2}$

LCD is 15y^2

First fraction has denominator 3y

To get LCD 15y^2 we multiply 3y by 5y. because 3y * 5y = 15y^2

Also to get 15y^2 in second denominator, we multiply 5y^2 by 3

because 5y^2 * 3= 15y^2

multiply $\frac{6y+8}{3y}(\frac{5y}{5y})$ from $\frac{2y}{5y^2}(\frac{3}{3})$

Answer is option A

Answer from: soogy

The correct option is A) Multiply $\frac{6y+8}{3y}(\frac{5y}{5y})$ and $\frac{2y}{5y^2}(\frac{3}{3})$ .

Step-by-step explanation:

Consider the provided expression.

Subtract $\frac{6y+8}{3y}$ from $\frac{2y}{5y^2}$

It is given that LCD of the expression is 15y².

Now observe the denominator of each expression.

The expression $\frac{6y+8}{3y}$ has denominator 3y.

In order to make denominator 15y² multiply 3y with 5y.

$3y\times{5y}=15y^2$

The expression $\frac{2y}{5y^2}$ has denominator 5y².

In order to make denominator 15y² in second expression, multiply 5y² with 3.

$5y^2\times{3}=15y^2$

Thus, the next step is:

Multiply $\frac{6y+8}{3y}(\frac{5y}{5y})$ and $\frac{2y}{5y^2}(\frac{3}{3})$ .

Therefore, the correct option is A) Multiply $\frac{6y+8}{3y}(\frac{5y}{5y})$ and $\frac{2y}{5y^2}(\frac{3}{3})$ .

Answer from: Quest

7! = 7×6×5×4×3×2

3! = 3× 2

as 7! is multiple of 3! because 7! contains 3! that is 3× 2 as factor

so 7! /(3! ) = 7× 6× 5× 4

= 42 × 20

= 840

its b) 840✌✌✌

dhruv⭐

Answer from: Quest

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.

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