# If there is direct variation and y=75 when x=25, find x when y=48.A. x=16B. x=10C. x=12D. x=14

If there is direct variation and y=75 when x=25,when y=48 X = 16. Therefore, option A is correct.

### What is direct variation ?

link between two variables that can be described mathematically by an equation where one variable equals a constant multiplied by the other. For instance, the constant of variation is k = = 3 if y varies straight as x and y = 6 when x = 2. Consequently, y = 3x is the equation that describes this directvariation.

When x is not equal to zero, an equation of the form y = kx describes the linear function known as direct variation. When x is not equal to zero and k is a nonzero real number constant, the equation of the form xy = k describes the nonlinear function known as inverse variation.

x = ky

where k is constant

25 = k × 75

25 / 75 = k

k = 1 / 3

now when y = 48 then substitute the values

x = ky

x = 1 ÷ 3 × 48

x = 16

Thus, option A is correct.

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Answer: x = ky where k is a constant

first u find k so :
25 = k * 75
25/75 = k
k = 1/3

now when y = 48 just substitute the values
x = ky
x = 1/3 * 48
x = 16

## Related Questions

When liquid phosphorus trichloride is added to water, it reacts to form aqueous phosphorous acid, h3po3(aq), and aqueous hydrochloric acid. express your answer as a balanced chemical equation. identify all of the phases in your answer?

Answer: The balanced chemical equation for the reaction of phosphorus trichloride with water is written below.

Explanation:

A balanced chemical equation is defined as the equation in which total number of individual atoms on the reactant side is equal to the total number of individual atoms on product side.

The balanced chemical equation for the reaction of phosphorus trichloride with water follows:

By Stoichiometry of the reaction:

1 mole of liquid phosphorus trichloride reacts with 3 moles of water to produce 1 mole of aqueous phosphorus acid and 3 moles of aqueous hydrochloric acid.

Hence, the balanced chemical equation for the reaction of phosphorus trichloride with water is written above.

Hey there!:

I'll balance it:

PCl3 + H2O ---> H3PO3 + HCl

* PCl3 (l )+ 3 H2O (l)--->H3PO3(aq) +3 HCl(aq)

Hope that helps!

On average, about ____________ of incoming solar radiation is reflected back to space.A 50%
B 30%
C 20%
D 10%

I believe it B 30% hope that helps
I think it’s B I’m not sure sorry if it’s wrong

Liquid octane CH3CH26CH3 reacts with gaseous oxygen gas O2 to produce gaseous carbon dioxide CO2 and gaseous water H2O. If 2.80g of carbon dioxide is produced from the reaction of 3.4g of octane and 5.9g of oxygen gas, calculate the percent yield of carbon dioxide. Be sure your answer has the correct number of significant digits in it.

54%

Explanation:

The balanced equation is:

The first step is to determine the limiting reactant. For this, we calculate the moles of each given component and divide the result for the stoichiometric coefficient.

3.4 g octane / 114.23 g/mol = 0.030 mol octane

0.030 mol octane/2=0.015

5.9 g O2 / 32 g/mol = 0.18 mol O2

0.18 mol O2/25= 0.0074 mol

The lower number, in this case oxygen, is the limiting reactant. The value corresponds to the theoretical yield of the reaction.

Similarly, the real yield is calculated from the product.

2.80 g CO2/ 44.01 g/mol = 0.0636 mol CO2

0.0636 mol CO2/16 = 0.00398 mol

The percent yield is the ratio of the 2 multiplied by a hundred, then

Percent yield= 0.0398/0.0074 *100 = 54%

The percent yield of carbon dioxide from the combustion reaction of octane and oxygen, given the provided masses of the reactants and the yield of CO2, is calculated to be 26.7%

### Explanation:

The combustion of octane in oxygen yields carbon dioxide and water in a 1:1 ratio, as the balanced chemical equation for the reaction is 2C8H18 + 25O2 -> 16CO2 + 18H2O. To calculate the percent yield of CO2, we first need to determine the theoretical yield of CO2. We can use the provided masses of octane and O2 and their respective molar masses to calculate the number of moles of each reactant:

- Moles of octane = 3.4 g / 114.22 g/mol = 0.0298 mol
- Moles of O2 = 5.9 g / 32.00 g/mol = 0.184 mol

Now, using the stoichiometric relationship from the balanced chemical equation, we can calculate the theoretical yield of CO2:

- Theoretical yield = 0.0298 mol octane x 16 mol CO2/2 mol octane = 0.238 mol CO2

Next, we convert this to grams using the molar mass of carbon dioxide:

- Theoretical yield = 0.238 mol CO2 x 44.01 g/mol = 10.5g CO2

Now that we have both the actual yield (2.80 g) and the theoretical yield (10.5 g), we can calculate the percent yield:

- Percent yield = (actual yield / theoretical yield) x 100% = (2.80 g / 10.5 g) x 100% = 26.7%

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What is the solubility of substance?

Explanation:

Solubility is a chemical property referring to the ability for a given substance, the solute, to dissolve in a solvent. It is measured in terms of the maximum amount of solute dissolved in a solvent at equilibrium. The resulting solution is called a saturated solution.

An aerosol is a colloidal _____ suspended in a _____. A.liquid B.solid C.gas

Hence an aerosol is a colloidal solid or liquid suspended in a gas Smoke or fog, for example.

### define aerosol?

Aerosol is a system of equally dispersed, finely divided liquid or solid particles passing through a gas, often air. Dust and other aerosol particles, which serve as the nuclei for condensation and freezing, are crucial to the precipitation process.

### Which two forms of aerosols exist?

Secondary aerosols develop when gas is converted into a particle, whereas primary aerosols are made up of particles that are added directly to the gas. Key aerosol categories include sulfates, organic carbon, black carbon, nitrates, mineral dust, and sea salt. These substances typically clump together to create complicated mixtures.

To know more about  aerosol visit:

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