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3 years ago

7.57.57, point, 5 liters of a certain solution contain 373737 grams of salt. What is the density of salt in the solution?

Mathematics

1 answer:

geniusboy [140]3 years ago

4 0

Answer: 4.9

Step-by-step explanation:

You are trying to find the density

So you divide the mass by the volume

Mass: 37 grams

Volume: 7.5 liters

37 grams/ 7.5 liters = 4.9

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Help please !! I’m am struggling with this lol

tatyana61 [14]

Answer:

x ≈ 3.9

Step-by-step explanation:

Call the segment shared by the two triangle "y". The Pythagorean theorem tells you ...

sum of squares of sides = square of hypotenuse

y² +6² = 10²

x² +7² = y²

Substituting for y² using the second equation, we get ...

x² +7² +6² = 10²

x² = 10² -7² -6² = 100 -49 -36 = 15

Taking the square root, we find ...

x = √15 ≈ 3.9

4 0

2 years ago

rectangle ABCD is graphed in the cordinate plane. The following are the verticies of the rectangle; A(-6,-4),B(-4,-4),C(-4,-2),

Sholpan [36]

Answer:

Therefore Perimeter of Rectangle ABCD is 4 units

Step-by-step explanation:

Given:

ABCD is a Rectangle.

A(-6,-4),

B(-4,-4),

C(-4,-2), and

D (-6,-2).

To Find :

Perimeter of Rectangle = ?

Solution:

Perimeter of Rectangle is given as

$\textrm{Perimeter of Rectangle}=2(Length+Width)$

Length = AB

Width = BC

Now By Distance Formula we have'

$l(AB) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}$

Substituting the values we get

$l(AB) = \sqrt{((-4-(-6))^{2}+(-4-(-4))^{2} )}$

$l(AB) = \sqrt{((2)^{2}+(0)^{2} )}=2\ unit$

Similarly

$l(BC) = \sqrt{((-4-(-4))^{2}+(-2-(-4))^{2} )}$

$l(BC) = \sqrt{((0)^{2}+(2)^{2} )}=2\ unit$

Therefore now

Length = AB = 2 unit

Width = BC = 2 unit

Substituting the values in Perimeter we get

$\textrm{Perimeter of Rectangle}=2(2+2)=2(4)=8\ unit$

Therefore Perimeter of Rectangle ABCD is 4 units

8 0

3 years ago

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

What is 9 3/4 as a percentage

Genrish500 [490]

First, turn the fraction into a decimal.

9.75

Second, multiply by 100%.

9.75 * 100% = 975%

Best of Luck!

5 0

3 years ago

There is a pair of x and y values that make each equation true in this system of equations

MAXImum [283]

Given Equations

5x+3y=8--(1)
4x+7y=34--(2)

Let it has solution (x,y)

Add both

$\\ \sf\longmapsto 5x+4x+3y+7y=8+34$

$\\ \sf\longmapsto 9x+10y=42$

It will also have same solution (x,y)

5 0

2 years ago