Mathematics : asked on 38amica
 05.12.2021

. When 2 times a number is increased by 4, the answer is the same as when 25is
decreased by the number. Find the number.

. 0

Step-by-step answer

24.06.2023, solved by verified expert
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The number is 7

Step-by-step explanation:

Let x be the [number]

Rephrase the expression

2 times a number is increased by 4, it is the same as 25 decreased by the number

2x+4=25-x

Calculate

Given

2x+4=25-x

Add x on both sides

2x+4+x=25-x+x

3x+4=25

Subtract 4 on both sides

3x+4-4=25-4

3x=21

Divide 3 on both sides

3x/3=21/3

x=7

Hope this helps!! :)

Please let me know if you have any questions

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Mathematics
Step-by-step answer
P Answered by PhD

The number is 7

Step-by-step explanation:

Let x be the [number]

Rephrase the expression

2 times a number is increased by 4, it is the same as 25 decreased by the number

2x+4=25-x

Calculate

Given

2x+4=25-x

Add x on both sides

2x+4+x=25-x+x

3x+4=25

Subtract 4 on both sides

3x+4-4=25-4

3x=21

Divide 3 on both sides

3x/3=21/3

x=7

Hope this helps!! :)

Please let me know if you have any questions

Chemistry
Step-by-step answer
P Answered by Master

1. The solubility of the anesthetic gas \boxed{{\text{decreases}}} if the temperature is increased.  

2. The solubility of the anesthetic gas \boxed{{\text{increases}}} if its partial pressure is increased.  

3. The solubility of the oxygen \boxed{{\text{decreases}}} if the temperature of the body is increased.

4. The solubility of oxygen  \boxed{{\text{increases}}} if its pressure over the solvent is increased.

5. The solubility of air in blood \boxed{{\text{increases}}} if diver descends 10\;{\text{m}} and the pressure is increased by {\text{1}}\;{\text{atm}}.

Further Explanation:

The chemical property of any substance that makes it capable to dissolve in other substances is called solubility. It is measured in terms of the maximum amount of solute that can be dissolved in the given amount of solvent.

Solubility is directly related to the intermolecular forces. Moreover, temperature and pressure are two other factors that influence the solubility of the gas.

There exist weak intermolecular forces between the gas molecules. With the increase in the temperature, the average kinetic energy also speeds up due to which the molecules start vibrating about their mean positions. This results in overcoming of the weak forces and the molecules re-enter into the gas phase. So solubility decreases with the increase in temperature.

The law that governs the relationship of gas solubility with its partial pressure is Henry’s Law. It states that the solubility \left( {{{\text{S}}_{{\text{gas}}}}} \right) is directly proportional to the partial pressure \left( {{{\text{P}}_{{\text{gas}}}}} \right) of the gas. If the gas has high partial pressure, it will have a higher solubility and vice-versa.

Mathematically, {{\mathbf{S}}_{{\mathbf{gas}}}} \propto {{\mathbf{P}}_{{\mathbf{gas}}}}

We incorporate a proportionality constant in order to remove the sign of proportionality. That constant is known as Henry’s constant, represented by {{\mathbf{k}}_{\mathbf{H}}}.

So Henry’s Law becomes {{\mathbf{S}}_{{\mathbf{gas}}}} = {{\mathbf{k}}_{\mathbf{H}}}{\mathbf{ \times }}\;{{\mathbf{P}}_{{\mathbf{gas}}}}

1. As we know, the solubility of gas is inversely proportional to the temperature. So if the temperature of anesthetic gas is increased, its solubility decreases.

2. According to Henry’s Law, the solubility of gas is directly proportional to the partial pressure of the gas. So the solubility of anesthetic gas also increases with the increase in its partial pressure.

3. As we know, the solubility of gas is inversely proportional to the temperature. So if the temperature of the body is increased, the solubility of oxygen decreases.

4. According to Henry’s Law, the solubility of gas is directly proportional to the partial pressure of the gas. So the solubility of oxygen also increases with the increase in its partial pressure.

5. As the diver descends  10\;{\text{m}} and the pressure is increased by 1\;{\text{atm}}, the solubility of gas increases in accordance with Henry’s Law.

Learn more:  

1. Statement about subatomic particle:

2. The energy of a photon in light:

Answer details:  

Grade: Senior School  

Subject: Chemistry  

Chapter: Solutions

Keywords: solubility, gas, increase, decrease, temperature, partial pressure, diver, air, change, environment, oxygen, blood, Henry's Law, anesthetic gas.

Chemistry
Step-by-step answer
P Answered by Specialist

1. The solubility of the anesthetic gas \boxed{{\text{decreases}}} if the temperature is increased.  

2. The solubility of the anesthetic gas \boxed{{\text{increases}}} if its partial pressure is increased.  

3. The solubility of the oxygen \boxed{{\text{decreases}}} if the temperature of the body is increased.

4. The solubility of oxygen  \boxed{{\text{increases}}} if its pressure over the solvent is increased.

5. The solubility of air in blood \boxed{{\text{increases}}} if diver descends 10\;{\text{m}} and the pressure is increased by {\text{1}}\;{\text{atm}}.

Further Explanation:

The chemical property of any substance that makes it capable to dissolve in other substances is called solubility. It is measured in terms of the maximum amount of solute that can be dissolved in the given amount of solvent.

Solubility is directly related to the intermolecular forces. Moreover, temperature and pressure are two other factors that influence the solubility of the gas.

There exist weak intermolecular forces between the gas molecules. With the increase in the temperature, the average kinetic energy also speeds up due to which the molecules start vibrating about their mean positions. This results in overcoming of the weak forces and the molecules re-enter into the gas phase. So solubility decreases with the increase in temperature.

The law that governs the relationship of gas solubility with its partial pressure is Henry’s Law. It states that the solubility \left( {{{\text{S}}_{{\text{gas}}}}} \right) is directly proportional to the partial pressure \left( {{{\text{P}}_{{\text{gas}}}}} \right) of the gas. If the gas has high partial pressure, it will have a higher solubility and vice-versa.

Mathematically, {{\mathbf{S}}_{{\mathbf{gas}}}} \propto {{\mathbf{P}}_{{\mathbf{gas}}}}

We incorporate a proportionality constant in order to remove the sign of proportionality. That constant is known as Henry’s constant, represented by {{\mathbf{k}}_{\mathbf{H}}}.

So Henry’s Law becomes {{\mathbf{S}}_{{\mathbf{gas}}}} = {{\mathbf{k}}_{\mathbf{H}}}{\mathbf{ \times }}\;{{\mathbf{P}}_{{\mathbf{gas}}}}

1. As we know, the solubility of gas is inversely proportional to the temperature. So if the temperature of anesthetic gas is increased, its solubility decreases.

2. According to Henry’s Law, the solubility of gas is directly proportional to the partial pressure of the gas. So the solubility of anesthetic gas also increases with the increase in its partial pressure.

3. As we know, the solubility of gas is inversely proportional to the temperature. So if the temperature of the body is increased, the solubility of oxygen decreases.

4. According to Henry’s Law, the solubility of gas is directly proportional to the partial pressure of the gas. So the solubility of oxygen also increases with the increase in its partial pressure.

5. As the diver descends  10\;{\text{m}} and the pressure is increased by 1\;{\text{atm}}, the solubility of gas increases in accordance with Henry’s Law.

Learn more:  

1. Statement about subatomic particle:

2. The energy of a photon in light:

Answer details:  

Grade: Senior School  

Subject: Chemistry  

Chapter: Solutions

Keywords: solubility, gas, increase, decrease, temperature, partial pressure, diver, air, change, environment, oxygen, blood, Henry's Law, anesthetic gas.

StudenGPT
Step-by-step answer
P Answered by Studen AI
Based on the reading provided, F. Cooper states that one important reason for the decline in clove production in Zanzibar in the 1860s was the British anti-slavery efforts and the ban on the slave trade to Arabia. This ban affected the availability of labor for clove plantations, as Indian merchants, who were the principal financiers of Zanzibarian clove production, became reluctant to provide capital for land or slaves. Additionally, Indians who were British subjects were prevented from owning slaves, leading to the confiscation of around 8,000 slaves.

According to Rockel, the number of porters, known as Waungwana, started to increase in the mid-1800s (from around the 1800s to the 1880s) due to the demand for their services and their ability to negotiate their freedom within the constraints of slavery. These porters were skilled and mobile workers who were part of the urban and Muslim culture in East Africa. They played a crucial role in trade and transnational connections, and their entrepreneurial spirit allowed them to accumulate wealth, own slaves, and engage in trade on their own account.
Physics
Step-by-step answer
P Answered by PhD

(1) A) the number of electrons surrounding the nucleus.

(2) A) valence or conduction electrons.

(3) B) reduced by a factor of 4.

(4) E) quadrupled

(5) B) It remains the same.

Explanation:

(1) The number of protons in the nucleus of an electrically neutral atom is equal to _________

protons are found in the nucleus while electrons surround the nucleus

A) the number of electrons surrounding the nucleus.

2) The main difference between conductors and insulators is in terms of _________.

conductors have mobile or free electrons while insulators have none.

A) valence or conduction electrons.

3) When the distance between the two charges is doubled, the force between them is ___________.

According to Coulomb's law;

F = \frac{Kq_1q_2}{r^2}

where;

F is the force between the charges

q₁ and q₂ are the two charges

r is the distance between the two charges

k is coulomb's constant

F = \frac{C}{r^2} , \ C = kq_1q_2\\\\F_1r_1^2 = F_2r_2^2, \ But \ r_2 = 2r_1\\\\F_2=\frac{F_1r_1^2}{r_2^2} = \frac{F_1r_1^2}{(2r_1)^2}= \frac{F_1r_1^2}{4r_1^2}\\\\F_2 = \frac{F_1}{4}

B) reduced by a factor of 4.

4) When the magnitude of both interacting charges is increased by a factor of 2, the electrical forces between these charges is _________

Apply Coulomb's law again;

F =\frac{kq_1q_2}{r^2} \\\\F = Cq_1q_2, \ C = \frac{k}{r^2} \\\\\frac{F_1}{(q_1q_2)_1} = \frac{F_2}{(q_1q_2)_2} \\\\But \ (q_1q_2)_2 = (2q_12q_2)_1 = 4(q_1q_2)_1\\\\\frac{F_1}{(q_1q_2)_1} = \frac{F_2}{4(q_1q_2)_1} \\\\F_2 = 4 F_1

E) quadrupled

5) Two charges, Q1 and Q2, are separated by a certain distance R. If the magnitudes of the charges are halved, and their separation is also halved, then what happens to the electrical force between these charges?

Apply Coulomb's law;

F = \frac{kQ_1Q_2}{R^2} \\\\k = \frac{FR^2}{Q_1Q_2} \\\\\frac{F_1R^2}{Q_1Q_2} = \frac{F_2(R/2)^2}{(Q_1/2)(Q_2/2)} \\\\\frac{F_1R^2}{Q_1Q_2} =\frac{F_2(\frac{1}{4}R^2 )}{\frac{1}{4} (Q_1Q_2)}\\\\F_2 = F_1

B) It remains the same.

Physics
Step-by-step answer
P Answered by PhD

(1) A) the number of electrons surrounding the nucleus.

(2) A) valence or conduction electrons.

(3) B) reduced by a factor of 4.

(4) E) quadrupled

(5) B) It remains the same.

Explanation:

(1) The number of protons in the nucleus of an electrically neutral atom is equal to _________

protons are found in the nucleus while electrons surround the nucleus

A) the number of electrons surrounding the nucleus.

2) The main difference between conductors and insulators is in terms of _________.

conductors have mobile or free electrons while insulators have none.

A) valence or conduction electrons.

3) When the distance between the two charges is doubled, the force between them is ___________.

According to Coulomb's law;

F = \frac{Kq_1q_2}{r^2}

where;

F is the force between the charges

q₁ and q₂ are the two charges

r is the distance between the two charges

k is coulomb's constant

F = \frac{C}{r^2} , \ C = kq_1q_2\\\\F_1r_1^2 = F_2r_2^2, \ But \ r_2 = 2r_1\\\\F_2=\frac{F_1r_1^2}{r_2^2} = \frac{F_1r_1^2}{(2r_1)^2}= \frac{F_1r_1^2}{4r_1^2}\\\\F_2 = \frac{F_1}{4}

B) reduced by a factor of 4.

4) When the magnitude of both interacting charges is increased by a factor of 2, the electrical forces between these charges is _________

Apply Coulomb's law again;

F =\frac{kq_1q_2}{r^2} \\\\F = Cq_1q_2, \ C = \frac{k}{r^2} \\\\\frac{F_1}{(q_1q_2)_1} = \frac{F_2}{(q_1q_2)_2} \\\\But \ (q_1q_2)_2 = (2q_12q_2)_1 = 4(q_1q_2)_1\\\\\frac{F_1}{(q_1q_2)_1} = \frac{F_2}{4(q_1q_2)_1} \\\\F_2 = 4 F_1

E) quadrupled

5) Two charges, Q1 and Q2, are separated by a certain distance R. If the magnitudes of the charges are halved, and their separation is also halved, then what happens to the electrical force between these charges?

Apply Coulomb's law;

F = \frac{kQ_1Q_2}{R^2} \\\\k = \frac{FR^2}{Q_1Q_2} \\\\\frac{F_1R^2}{Q_1Q_2} = \frac{F_2(R/2)^2}{(Q_1/2)(Q_2/2)} \\\\\frac{F_1R^2}{Q_1Q_2} =\frac{F_2(\frac{1}{4}R^2 )}{\frac{1}{4} (Q_1Q_2)}\\\\F_2 = F_1

B) It remains the same.

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