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3 years ago

Find the ratio of red marbles to total marbles. Write the ratio in simplest form.

Mathematics

1 answer:

DanielleElmas [232]3 years ago

3 0

Answer:

3:5

Step-by-step explanation:

ratio is 4:6 so ratio equals 2:3

red marbles is 3/5

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Rewrite the statement in mathematical notation. (Let y be the distance from the top of the ladder to the floor, x be the distanc

In-s [12.5K]

Answer:

$\frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}$

Step-by-step explanation:

Let L be the length of the ladder,

Given,

x = the distance from the base of the ladder to the wall, and t be time.

y = distance from the base of the ladder to the wall,

So, by the Pythagoras theorem,

$L^2 = y^2 + x^2$

$\implies L = \sqrt{y^2 + x^2}$ ,

Differentiating with respect to time (t),

$\frac{dL}{dt}=\frac{d}{dt}(\sqrt{x^2 + y^2})$

$=\frac{1}{2\sqrt{x^2 + y^2}}\frac{d}{dt}(x^2 + y^2)$

$=\frac{1}{2\sqrt{x^2 + y^2}}(2x\frac{dx}{dt}+2y\frac{dy}{dt})$

$=\frac{1}{\sqrt{x^2 +y^2}}(x\frac{dx}{dt}+y\frac{dy}{dt})$

Here,

$\frac{dy}{dt}=-6\text{ ft per sec}$

Also, $\frac{dL}{dt} = 0$ ( Ladder length = constant ),

$\implies \frac{1}{\sqrt{x^2 +y^2}}(x(-6)+y\frac{dy}{dt})=0$

$-6x + y\frac{dy}{dt}=0$

$y\frac{dy}{dt}=6x$

$\implies \frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}$

Which is the required notation.

8 0

3 years ago

121 slabs . How many slabs will she need to lay in each row to make a square

netineya [11]

She needs to lay 11 slabs on each row to make a square

<h3>How to determine the number of slabs in each row?</h3>

The total number of slabs is given as:

Total = 121 slabs

Let this represent the area of the slab.

The area of a square is calculated as:

Area = Length^2

Substitute the known values in the above equation

Length^2 = 121

Take the square root of both sides

Length = 11

Hence, she needs to lay 11 slabs on each row to make a square

Read more about squares at:

brainly.com/question/24487155

#SPJ1

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2 years ago

What are the two constants of proportionality for the relationship between distance in kilometers

andrezito [222]

We call the ratio between two directly proportional quantities the constant of proportionality. When these two quantities may increase or decrease, the constant proportionality always remains the same

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3 years ago

Please help me<br><br> Simplify the expression -2x^2(4x − 3)

miv72 [106K]

-2x^2(4x − 3)
=-8x^3 + 6x^2

hope it helps

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Zanzabum

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3 years ago

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