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3 years ago

What is the volume of 22.5 g of metal with a density of 2.81 g/cm

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

7 0

Answer:V = 72.1 cm³ - 50.0 cm³ = 22.1 cm³

D = mV=99.7g22.1cm³ = 4.51 g/cm³

Step-by-step explanation:

d = mV

m = d×V

V = md

DENSITY

Density is defined as mass per unit volume.

d = mV

Example:

A brick of salt measuring 10.0 cm x 10.0 cm x 2.00 cm has a mass of 433 g. What is its density?

Step 1: Calculate the volume

V = lwh = 10.0 cm × 10.0 cm × 2.00 cm = 200 cm³

Step 2: Calculate the density

d = mV = 433g200cm³ = 2.16 g/cm³

MASS

d = mV

We can rearrange this to get the expression for the mass.

m = d×V

Example:

If 500 mL of a liquid has a density of 1.11 g/mL, what is its mass?

m = d×V = 500 mL × 1.11g1mL = 555 g

VOLUME

d = mV

We can rearrange this to get the expression for the volume.

V = md

Example:

What is the volume of a bar of gold that has a mass of 14.83 kg. The density of gold is 19.32 g/cm³.

Step 1: Convert kilograms to grams.

14.83 kg × 1000g1kg = 14 830 g

Step 2: Calculate the volume.

V = md = 14 830 g × 1cm³19.32g = 767.6 cm³

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Answer:

50%

Step-by-step explanation:

This question is solved by C1V1 + C2V2 ÷ V1 + V2 = final concentration

Let x = volume of 70% solution

let's express the concentrations as decimals, so 70% = 0.7, 50% = 0.5, and 40% = 0.4

then 0.7X + 50L.4 ÷ X + 50L = 0.5

this equation becomes 0.5(X + 50) = 0.7X + 20

which yields 0.5X + 25 = 0.7X +20

combining, we get 5 = 0.2X, and 25 = X

when we mix the two volumes, we get 50L x 40% + 25L x 70%,

which yields 20L of 100% alcohol, and 17.5L of 100% alcohol, for a total of 37.5L of alcohol in 75L of solution

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2 years ago

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1 year ago

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Ilia_Sergeevich [38]

You have the function $y= \dfrac{60x}{1+0.625x}$ .
Rewrite it in the following way:

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2 years ago

Find the area of the circle to find the nearest whole number. Use 3.14 or 22/7 for ip

sertanlavr [38]

Answer:

You didn't provide the complete question as the radius or diameter of the circle isn't given. Please check the explanation below to see how to approach such questions.

Step-by-step explanation:

Area of a circle has a formula and it is given as:

Area = $\pi r^{2}$

where $\pi$ is a constant and has a value of 3.14 or 22/7,

r is the radius of the circle (i.e the line drawn from the center of the circle to any point on the circle).

radius, r = diameter/2.

Example 1: Find the area of a circle with radius 7meters (7m) and correct to the nearest whole number. Use 3.14 or 22/7 for pi.

Solution:

$Area = \pi r^{2} = \frac{22}{7} (7^{2})\\\\ Area = \frac{22}{7} (7)(7) = 22(7)\\\\ Area = 154squaremeters = 154m^{2}\\$

NB: The unit of area is always in square units. In our case square meters

Example 2: Find the area of a circle with diameter 7feet(7ft). Use 3.14 or 22/7 for pi.

Solution:

$Area = \pi r^{2}$

But we were given the diameter not the radius.

Remember that I earlier said that radius, r = diameter/2 = $\frac{7}{2}ft$

$Area = \frac{22}{7}(\frac{7}{2} )^{2} = \frac{22}{7} (\frac{7}{2} )(\frac{7}{2} )$

$Area = \frac{11(7)}{2} = \frac{77}{2} \\\\ Area = 36.5ft^{2}$

So, if you have questions that ask for area, ensure you have the radius and if the diameter is given instead of the radius, carry out the neccessary calculation i.e. Diameter/2 to obtain the radius and use the area formula.

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2 years ago

2) Luciano é dono de um terreno em forma de trapézio que possui bases de 10 e 18 metros e comprimento de 8 metros. Qual a área d

Irina18 [472]

Answer:

Step-by-step explanation:

We know by given that the bases of the form are 10 and 18 meters, and its height is 8 meters.

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$A=\frac{(B+b)h}{2}$

Replacing given values, we have

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Therefore, the right answer is D.

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