A large bottle contains a number of medicinal tablets each having a mass of 250
mg. The mass of all the tablets is 1 kg. Calculate the number of tablets in the bottle.
Given parameters:
Mass of each tablet = 250mg = 0.25g
Mass of all tablets in the bottle = 1kg = 1000g
Unknown:
Number tablets in the bottle = ?
Solution:
The number of tablets in the bottle;
Number of tablets = [tex]\frac{mass of all tablets in the bottle}{mass of each tablet}[/tex]
Mass is the amount of matter that makes up a substance
Number of tablets = [tex]\frac{1000g}{ 250 x 10^{-3} }[/tex] = 4000 tablets
Considering the rule of three, the number of tablets in the bottle is 4.
In first place, the rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.
That is, what is intended with it is to find the fourth term of a proportion knowing the other three.
If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied.
To solve a direct rule of three, the following formula must be followed, being a, b and c known data and x the variable to be calculated:
a ⇒ b
c ⇒ x
So: [tex]x=\frac{cxb}{a}[/tex]
The direct rule of three is the rule applied in this case as follow: if 250 mg = 0.250 g is the mass of 1 medicinal tablet, 1 kg = 1000 g is the mass of how many medicinal tablets?
0.250 grams ⇒ 1 medicinal tablet
1000 grams ⇒ x
Then:
[tex]x=\frac{1000 gramsx1 medicinal tablet}{0.250 grams}[/tex]
x= 4 medicinal tablets
Finally, the number of tablets in the bottle is 4.
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brainly.com/question/12482948?referrer=searchResults brainly.com/question/24534599https://brainly.com/question/25294910?referrer=searchResultsIs nitrogen a compound
Answer:
Nitrogen gas (N2) is a molecule because the bond between the nitrogen atoms is a molecular bond. Water (H2O) is a molecular compound because it is a substance made from more than one kind of element that is held together with molecular bonds
Explanation:
5. A vehicle having a mass of 1000 kg had an accident on a wet, but level, concrete road under foggy
conditions. The tires were measured to have y = 0.55 on wet concrete. The driver locked the
brakes, skidded for 6 seconds, and then hit the guardrail causing a very small dent because the
vehicle stopped just as it touched the guardrail. The driver claimed to be driving 65 miles per hour
(29 m/s). You have been hired as an investigator to determine if the driver is telling the truth.
a. What is the weight of the vehicle?
b. The frictional force produces the negative acceleration that reduces the velocity of the
vehicle from its initial unknown speed to zero. Find the value of the frictional force.
Use the frictional force to calculate the acceleration (remember that it is a negative
number). Hint: Use Newton's 2nd Law.
d. Using your acceleration from partc, what was the driver's initial velocity? Hint: Use this
equation - The final velocity is 0 m/s.
6. Complete this form to let me know what your questions are. This helps me get you the help you
need - either during class or individually through videos
Answer:
Explanation:
1) weight = mg = 9.81*1000 = 9810 Newtons
2) frictional force = normal force *
we must assume that the vehicle is on a flat surface so therefore the normal force is the same as the weight of the vehicle.
frictional force = 9810 * 0.55 = 5 395.5 N
3) acceleration: F = ma, a = F/m
assume that only the frictional force is acting on the vehicle:
a = 5395.5/1000 = 5.3955 m/s
4) the car decelerates at 5.3955m/s
over 6 seconds, the car decelerates by: 32.37m/s
5) original speed = 29m/s final speed = 29-32.37 = -3.37m/s which is a negative number, therefore the vehicle would have stopped before it hit the rail.
6) to get to the rail, the vehicle would have had to be traveling at least 32.37m/s which is 72.41 mph
Igneous rocks are formed from _____.
sedimentary rocks
fossils and shells
magma
eroded land
Answer:
magma
Explanation:
actually cooling and solidification of magma
What is the distance between two spheres (20 kg and 30 kg) attracted by a force of 2 x 10^-5 Newtons.
Help please asap!!!!
Answer:
Line A is fastest and Line D is slowest
Explanation:
Line A is the fastest moving object because the bar is steepest. Line A travelled the furthest in the least time, so Line A is moving fastest. Line D is the slowest object because the bar is least steep. Line D travelled the least distance in the most time, so Line D moves the slowest.
Hopefully the answer and explanation helps!
PLS HELP!!!- The moon rotates around the Earth every 28 days. What is the frequency of the moon’s revolution?
Answer: the frequency is every 27.322 days
A shark accelerates uniformly from 2.8 km/h to
32.0 km/h in 1.5 s. How large is its acceleration!
Answer: Initial Velocity = 2.8 km/h
Final Velocity = 32 km/h
Explanation:
Q. If space is vaccumed then how moon is attracted to earth by it gravity?
Answer:
The vacuum of outer space is not caused by the expansion of the universe, but is caused by gravity.
Explanation:
a drum crane whirlwinds in 100m of cable when raising a load of 240N through a height of 10m an effort of 30 000 N is needed Calculate the efficiency showing how you obtained your answer
Explanation:
mark as brainliest plssssssssssssss!
Which scenario is an example of the transfer of thermal energy by
convection?
A. A person uses a hot iron to remove wrinkles from a shirt.
B. You warm your feet in front of a fireplace.
C. A cup heats up when you pour hot water into it.
D. Warm air in a hot air balloon rises and heats air at the top of the
balloon.
I think it would be, D. Warm air in a hot air balloon rises and heats air at the top of the balloon.
The scenario that represents an example of the transfer of thermal energy by convection is the warm air in a hot air balloon rises and heats air at the top of the balloon. Thus, the correct option for this question is D.
What is Convection?Convection may be defined as a type of process through which heat is significantly transferred by the movement of a heated fluid such as air or water. It involves the transfer of heat by the movement of a fluid (liquid or gas) between areas of different temperatures.
Thermal energy refers to the energy which is contained within a system that is responsible for its temperature. Heat is the flow of thermal energy.
This thermal energy gets transferred through the process of convection from the top of the balloon in an example of a hot air balloon. The concept of this works on the warm air that is filled in a balloon and this warm air rises and heats air at the top of the balloon.
Therefore, the correct option for this question is D.
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Can someone explain which of Newton’s Law is demonstrated in part 1 and which is demonstrated in part 2? (Picture)
Answer:
Every action has an equal and opposite reaction. If the student doesn't push, nothing moves, is one student pushes, both move which is an example of newtons third law.
Explanation:
Which two options are forms of kinetic energy?
A. Nuclear energy
B. Thermal energy
C. Chemical energy
D. Gravitational energy
E. Sound energy
Answer:
B. Thermal energy
E. Sound energy
Explanation:
Thermal and sound energy is kinetic energy.
Kinetic energy is the energy that results as a function of the motion of a body or the particles of the medium.
Sound energy is transmitted by the vibration of the particles in the air. The vibration leads to movement of the particles and hence, kinetic energy is produced.
Thermal energy originates as a result of the temperature differences in a body. This temperature difference leads to the increase in the kinetic energy of some particles which also causes vibration and motion of the particles.
The two options which are forms of kinetic energy include:
Thermal energySound energyWhat is Kinetic energy?Kinetic energy is the form of energy possessed by a body by virtue of its
motion.
Thermal energy possesses kinetic energy as a result of the high
temperature bringing about an increase in the collision of the particles.
Sound energy also possesses kinetic energy as a result of the vibrations
through the movement of energy in a medium.
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Write how the pairs of words or phrases are alike and different. Conservation of energy and energy transferConservation of energy: Energy is neither created nor destroyed in an ordinary chemical or physical process; this is also known as the first law of thermodynamics.Energy transfer: The transfer of energy from one object to another or from one form to another.Alike: Different:
Answer:
Similarities:
Energy can be transferred from one form to another in both systems.
Difference:
Energy can only be created or destroyed in conservation of energy.
Explanation:
Conservation of energy: tell us that energy can neither be created nor destroyed, but can be transferred from one form to another. e.g Chemical to mechanical ( combustion of fuel in vehicle to achieve mechanical work. )
Energy transfer Conservation
Energy can be stored or transferred from one form to another, but it cannot be created or destroyed.
Similarities:
Energy can be transferred from one form to another in both systems.
Difference:
Energy can only be created or destroyed in conservation of energy.
please awnser and show the ways
Answer:
Answers in solutions.
Explanation:
Question 6:
The density of gold is 19.3 g/cm³
The density of silver is 10.5 g/cm³
The density of the substance in Crown A;Density = mass ÷ volume = [tex]\frac{1930}{100}[/tex] = 19.3 g/cm³
Since the density of gold, given, is 19.3 g/cm³ and the density of the substance in Crown A has a density of 19.3 g/cm³ , then that substance must be gold.
The density of the substance in Crown B;Density = mass ÷ volume = 1930 ÷ 184 = 10.48913043 g/cm³ ≈ 10.5 g/cm³ (answer rounded up to one decimal place)
Since the density of the substance in Crown B is approximately equal to 10.5 g/cm³ , then that substance is Silver.
The density of substance in Crown C;Density = mass ÷ volume = 1930g ÷ 150cm³ = 12.86666667 ≈ 12.9 cm³ (answer rounded up to one decimal place)
The density of the mixture:For 2 cm³ of the mixture, its mass equal 19.3 g + 10.5 g = 29.8 g
∴ for 1 cm³ of the mixture, its mass equal to [tex]\frac{29.8}{2}[/tex] = 14.9 g
Hence the density of the mixture = 14.9 g/cm³ and is not equal to the density of the substance in Crown C.
* Crown C is not made up of a mixture of gold and silver.
Question 7:
An empty masuring cylinder has a mass of 500 g.Water is poured into measuring cylinder until the liquid level is at the 100 cm³ mark.The total mass is now 850 gThe mass of water that occupied the 100 cm³ space of the container = total mass - mass of the empty container = 850 g - 500 g = 350 g
Density of the liquid (water) poured into the container = mass ÷ volume = 350 g ÷ 100 cm³ = 3.5g/cm³
Question 8:
A tank filled with water has a volume of 0.02 m³
(a) 1 liter = 0.001 m³
How many liters? = 0.02 m³ ?
Cross multiplying gives:
[tex]\frac{0.02 * 1}{0.001}[/tex] = 20 liters
(b) 1 m³ = 1,000,000 cm³
0.02 m³ = how many cm³ ?
Cross-multiplying gives;
[tex]\frac{0.02 * 1,000,000}{1}[/tex] = 20,000 cm³
(c) 1 cm³ = 1 ml
∴ 0.02 m³ of the water = 20,000 cm³ = 20,000 ml
Question 9:
Caliper (a) measurement = 3.2 cm
Caliper (b) measurement = 3 cm
Question 10:
A stone is gently and completely immersed in a liquid of density 1.0 g/cm³in a displacement canThe mass of liquid which overflow is 20 gThe mass of the liquid which overflow = mass of the stone = 20 g
1 gram of the liquid occupies 1 cm³ of space.
20 g of the liquid will occupy; [tex]\frac{20 * 1}{1}[/tex] = 20 cm³
(a) Since the volume of the water displaced is equal to the volume of the stone.
∴ The volume of the stone = 20 cm³
(b) Mass = density × volume
Density of the stone = 5.0 g/cm³
Volume of the stone = 20 cm³
Mass of the stone = 5 g/cm³ × 20 cm³ = 100 g
An object travels at a constant velocity of 15 m/s for 5.0 seconds. How far does it
move during that time?
Answer:
Explanation:
Givens:
v = 15 m/s
t = 5 seconds
d = ??
Formula
d = v*t
Solution
d = 15 * 5
d = 75 m
if it takes 3.5 hours for the Hogwarts Express, moving at a speed of 120 mi/hr, to make it from Platform 9 and 3/4 to Hogwarts, how far apart are they?
Andrew plays trumpet in the concert band. He holds the trumpet still at his side until it is time for him to play. When it is time, he brings the trumpet up to his mouth and starts to play. Which statement correctly connects the motion of the trumpet with Newton’s first law of motion?
Answer:
Explanation:
I really don’t know
Alice added sodium chloride to water and stirred the water for several minutes. Alice is most likely trying to demonstrate that ionic compounds
A. are hard
B. can dissolve
C. are clear.
D. can melt.
Answer:
Can dissolve
Explanation:
2. Who was the first woman to dunk in a professional basketball game?
Answer: Lisa Leslie
Explanation: On July 30, 2002, Leslie became the first woman to dunk the ball in a WNBA game.
Answer:
Lisa Leslie
Explanation:
On July 30, 2002, Leslie became the first woman to dunk the ball in a WNBA game
Explain what is meant by the term mechanical advantage.
Answer:Mechanical advantage is a measure of the force amplification achieved by using a tool, mechanical device or machine system.
Explanation:
The power multiplication obtained by utilizing a tool, physical object, or machine system is referred to as mechanical advantage.
The advantage achieved by using a mechanisms in transmission force in particular to the proportion of the energy that accomplishes a machine's productive work to the force being applied to the mechanism.
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a high speed train travels with an average speed of 250 km/h. the train travels for 2 hrs. how far does the train travel
Answer:
The answer is 500 kmExplanation:
The distance covered by an object given it's velocity and time taken can be found by using the formula
distance = average velocity × timeFrom the question
average speed = 250 km/h
time = 2 hrs
We have
distance = 250 × 2
We have the final answer as
500 kmHope this helps you
Answer:
The answer would be 454 miles.
Explanation:
You multiply the average speed by time travelled. Hope this helps!
Johnny often hits his brother even though his brother does not do anything to the tag and eyes assume Johnny aggression is more like most likely due to a combination of
At what point of thermometric scale does Kelvin scale reading coincide with Fahrenheit scale
Answer:
At 574.59 Kelvin, the Fahrenheit temperature will be 574.59 °F.
Explanation:
We first need to find a relation between the Kelvin scale and the Fahranheit scale. We'll use the Celsius scale to relate them.
The Kelvin and Celsius scales are related by the formula:
K = °C + 273.15
Solving for °C:
°C = K - 273.15
Besides, the Kelvin and Celsius scales are related by:
°C = 5 ⁄ 9(°F - 32)
Now we find a temperature, say X, where both scales coincide. Equating both formulas:
X - 273.15=5 ⁄ 9(X - 32)
Multiply by 9:
9X - 2,458.35 = 5X - 160
Simplifying:
4X = 2,458.35 - 160=2,298.35
Solving:
X =2,298.35 / 4 = 574.59
At 574.59 Kelvin, the Fahrenheit temperature will be 574.59 °F.