Answer:
Se pueden obtener 10.000 comprimidos de 500 mg de paracetamol a partir de la cantidad de 5 kg del medicamento
Step-by-step explanation:
La cantidad en masa de paracetamol en una tableta = 500 mg de paracetamol / tableta
El número de comprimidos que contienen 500 mg de paracetamol que se pueden obtener a partir de 5 kg del medicamento (paracetamol) se calcula dividiendo los 5 kg del medicamento por los 500 mg de paracetamol / comprimido de la siguiente manera;
[tex]El \ nmero \ de \ tableta = \dfrac{5 \ kg \ paracetamol}{500 \ mg \ paracetamol/tableta }[/tex]
Observamos que 5 kg = 5,000,000 mg
Por lo tanto;
[tex]El \ numero \ de \ tableta = \dfrac{5,000,000 \ mg \ paracetamol}{500 \ mg \ paracetamol/tableta } = 10,000 \ tabletas[/tex]
Por tanto, podemos obtener 10.000 comprimidos de 500 mg de paracetamol a partir de la cantidad dada de 5 kg del medicamento.
Describe and correct the errors in solving the absolute value inequality
х
5x + 4/> 13
x+4 -13 and x + 4 <13
x>-17 and
X<9
-17
22
There is an arithmetic error in both rewritten inequalities. The correct solution is -9<< < 17
The inequality symbols should be reversed. The correct solution is 9 > I > -17
The two inequalities should be written as one inequality -13 < 3+4 < 13. The correct solution is -17 <3 <9.
The compound inequalities should be joined by "or;" and both inequality symbols should be reversed. The correct solution is
< 17 ore 9.
Answer:
Step-by-step explanation:
Given the inequality [tex]|x+4|>13[/tex], to solve, we will solve the negative and positive value of the modulus for x as shown:
If the modulus is positive:
[tex]x+4>13\\[/tex]
subtract 4 from both sides
[tex]x+4-4>13-4\\x>9[/tex]
If the modulus is negative
[tex]-(x+4)>13\\-x-4>13\\[/tex]
Add 4 to both sides
[tex]-x-4+4>13+4\\-x>17[/tex]
Multiply both sides by -1
[tex]-(-x)<-17\\x<-17\\-17>x[/tex]
Combine both inequalities. If:
[tex]x>9\\[/tex]
Combining with [tex]-17>x[/tex] will give:
[tex]-17>x>9[/tex]
We went to the market to buy some fruit. We decided to buy some apples, strawberries, and oranges. If we buy 2 apples, 3 boxes of strawberry, and 4 oranges, the fruit would cost $15.30. If we buy 1 box of strawberry, 4 apples, and 2 oranges, the fruit would cost $10.90. If we buy 1 orange, 5 apples and 2 boxes of strawberry, the fruit would cost $13.70. Use the Gaussian Elimination Method to solve for the price of each fruit.
Step-by-step explanation:
Let the amount of apples bought be x
Amount of strawberries bought be y and;
amount of oranges bought be z
If we buy 2 apples, 3 boxes of strawberry, and 4 oranges, the fruit would cost $15.30, then this will be expressed as;
2x+3y+4z = 15.30 ........... 1
If we buy 1 box of strawberry, 4 apples, and 2 oranges, the fruit would cost $10.90, this will be expressed as:
4x+y+2z = 10.90 ......... 2
If we buy 1 orange, 5 apples and 2 boxes of strawberry, the fruit would cost $13.70, this is expressed as:
5x+2y+x = 13.70 .......... 3
Solving the three equations simultaneously:
2x+3y+4z = 15.30 ........... 1
4x+y+2z = 10.90 ......... 2
5x+2y+z = 13.70 .......... 3
Reduce the number of equations
multiply equation 1 by 2 and subtract from equation 2
equation 1 * 2 will give:
4x+6y+8z = 30.6 ........... 4
eqn (4)-eqn(2)
6y-y + 8z-2z = 30.6-10.90
5y+6z = 19.7 ......... 5
Also multiply equation 2 by 5 and eqn 5 by 4 and subtract from each other.
eqn(2)* 5 will give:
20x+5y+10z = 54.5 .......... *
eqn(3) * 4 will give
20x+8y+4z = 54.8.......**
Subtsrct ** from *
8y-3y+(4z-10z)= 54.8-54.5
5y-6z = 0.3 .................. 6
Equate 5 and 6 and solve:
5y+6z = 19.7 ......... 5
5y-6z = 0.3 .................. 6
subtract:
6z+6z = 19.7+0.3
12z = 20
z = 20/12
z = 1.67
Substitute z = 1.67 into eqn 6
5y-6(1.67) = 0.3
5y - 10 = 0.3
5y = 10.3
y = 10.3/5
y = 2.06
Substitute z = 1.67 and y = 2.06 into equation 1
From 1:
2x+3y+4z = 15.30
2x+3(2.06)+4(1.67) = 15.30
2x+6.18+6.68 = 15.30
2x+12.86 = 15.30
2x = 15.30-12.86
2x = 2.44
x = 2.44/2
x = 1.22
Therefore 1 apple costs $1.22, 1 strawberry costs $2.06 and 1 orange costs $1.67
A sequence is considered arithmetic if there is a
A. Common difference
B. Initial term
C. Common ratio
Dave had already read 4 books this year before joining a book club, and he plans to read 3
books every month now that he has joined. If Dave has read 16 books so far, how many
months has he been with his book club?
Answer: 4 months
Step-by-step explanation: 16 - 4 = 12
12 / 3 = 4 months
Answer:
5 months
Step-by-step explanation:
Please show steps
If 3x + 7 = 10, what is -2x - 8?
Answer:
-10
Step-by-step explanation:
first you need to solve the first equation
3x + 7 = 10
subtract 7 from both sides
3x + 7 - 7 = 10 - 7
3x = 3
divide both sides by 3
3x/3 = 3/3
x = 1
now substitute x in the second equation.
-2x - 8
-2(1) - 8
-2 - 8
-10
Answer:
- 10
Step-by-step explanation:
Given
3x + 7 = 10 ( subtract 7 from both sides )
3x = 3 ( divide both sides by 3 )
x = 1
Thus
- 2x - 8 = - 2(1) - 8 = - 2 - 8 = - 10
To make the expression 4x-2 + (2x + 4) equivalent to 2(6x + 7), what must be the value in the box?
[tex]4x - 2 + (2x + 4) = 2(6x + 7) \\ [/tex]
[tex]4x - 2 + 2x + 4 = 12x + 14[/tex]
Simplification
[tex]6x + 2 = 12x + 14[/tex]
Subtract sides 2
[tex]6x + 2 - 2 = 12x + 14 - 2[/tex]
Simplification
[tex]6x = 12x + 12[/tex]
Subtract sides -12x
[tex]6x - 12x = 12x - 12x + 12[/tex]
Simplification
[tex] - 6x = 12[/tex]
Divided sides by -6
[tex] \frac{ - 6}{ - 6}x = \frac{12}{ - 6} \\ [/tex]
[tex]x = - 2[/tex]
It is must be in the box buddy.
And we're done...♥️♥️♥️♥️♥️
PLEASE HELP MEE!!!!!! :)))))
Answer:
B
Step-by-step explanation:
4. A recipe for orange water says, "Mix 3 teaspoons yellow water with 1 teaspoon red water." For this recipe, we might say: "The ratio of teaspoons of yellow water to teaspoons of red water is 3 : 1." Write a ratio for 2 batches of this recipe. Write a ratio for 4 batches of this recipe.
Answer:
2 batches of orange water = 6 tablespoon of yellow water and 2 tablespoon of red water
4 batches of orange water = 12 tablespoon of yellow water and 4 tablespoon of red water
Step-by-step explanation:
1 batch
Yellow water = 3 teaspoons
Red water = 1 teaspoons
Yellow water : Red water = 3 : 1
2 batches of orange water
Multiply the ratios by 2
Yellow water : Red water
= (3 : 1) * 2
= 6 : 2
2 batches of orange water = 6 tablespoon of yellow water and 2 tablespoon of red water
4 batches of orange water
Multiply the ratios by 4
Yellow water : Red water
= (3 : 1) * 4
= 12 : 4
4 batches of orange water = 12 tablespoon of yellow water and 4 tablespoon of red water
Answer:
2 batches of orange water = 6 tablespoon of yellow water and 2 tablespoon of red water
4 batches of orange water = 12 tablespoon of yellow water and 4 tablespoon of red water
Step-by-step explanation:
1 batch
Yellow water = 3 teaspoons
Red water = 1 teaspoons
Yellow water : Red water = 3 : 1
2 batches of orange water
Multiply the ratios by 2
Yellow water : Red water
= (3 : 1) * 2
= 6 : 2
2 batches of orange water = 6 tablespoon of yellow water and 2 tablespoon of red water
4 batches of orange water
Multiply the ratios by 4
Yellow water : Red water
= (3 : 1) * 4
= 12 : 4
4 batches of orange water = 12 tablespoon of yellow water and 4 tablespoon of red water
Step-by-step explanation:
" X is at least 2" can be represented by x > 2.
True
False
Answer: False, as you see there's the word "Least" so x can be equate to one. So therefore it's false.
PLEASE HELP FAST!! WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER
Answer:
80 degrees
Step-by-step explanation:
both intersections are the same, so we can count them as one. We notice that one line is a straight line compared to other so we can subtract 100 from 180 and get 80
Answer:
80
Step-by-step explanation:
Vertical angles equal 360 in total and the angles across from each other equal the same. 100 x 2 = 200
360-200 = 160
160/2 = 80
I hope this helps enjoy your day!
Jane’s bank account grew from $2175 to $2262. What was the percent increase in her account?
A. 2%
B. 4%
C. 7%
D. 10%
I am new to brainly. Will you please help me with this problem :))
Answer:
B. 4%
Step-by-step explanation:
Solve the inequality 5:0 -6 < 2 + (30 — 4).
Pls help
Answer:
x≤2
Step-by-step explanation:
The answer to 5x-6≤2+(3x-4)
Happy Halloween!
Samuel is y years old. In 10 years he will be 27. How old is Samuel?
Show work
Answer:
17
Step-by-step explanation:
(Samuel is years old in ten years he will be 27.)
how do we find his age he is rignt now?
First: you need to find the key words.
Samuel is years old in ten years he will be 27
secont: you find a way to do your problom.
27 ↓
- 10 ↓
````````````
17 ←
Question 2(Multiple Choice Worth 1 points)
(03.05 LC)
Name the similar triangles.
triangles CBA and DEF with angle D congruent to angle C and angle E congruent to angle B
ΔABC ~ ΔDEF
ΔABC ~ ΔEFD
ΔABC ~ ΔDFE
ΔABC ~ ΔFED
Answer:
D) ΔABC ~ ΔFED
Step-by-step explanation:
Look at the little half-circles at the angles, A has cero, F too, C has one, D has one too, B has two, E has two too.
so A~F, B~E, C~D = ΔABC ~ ΔFED.
3 fracciones equivalentes a 4/5
Answer:
8/10, 12/15, 16/20
Step-by-step explanation:
help please :) thanksss
Answer:
I agree with your answer
Step-by-step explanation:
Answer:
You got it right it is C
Step-by-step explanation:
to get to the next exact point from (-4,-3) to (0,2) you have to rise 5 and shift 4 to the right, and with the slope being rise over run it would be 5/4
13 and 5/8 plus 7/8 please answer quickly
13 5/8 + 7/8 = 14 1/2
5/8 + 7/8 = 1 4/8 = 1 1/2
1 1/2 + 13 = 14 1/2
20. The temperature of a city during a week was 1° C, -6°C, 14°C, -9°C,
-15°C, 8°C and -7°C. What was the average daily temperature of the town
for the week?
The average temperature would be -2°Celsius
You just add up all the numbers, and the average of the numbers is the sum of all the numbers divided by the amount of numbers.
1+-6+14+-9+-15+8+-7=-14
-14/7=-2
what fraction is = to 1/3
Answer:
2/6
Step-by-step explanation:
if you multiply each factor by 2, you get 2/6 and if you simplify that you get 1/3.
Answer:
2/6 - 3/9 - 4/12 - and so onStep-by-step explanation:
To find out what fractions are equal to (only) 1/3, you just add the numerator (the top) by one, and add the denominator (the bottom) by three.
Note: This ONLY works for finding out what fractions are equal to 1/3
Hope this helps! <3
Simplify this equation:
6x−7+3x+2
Answer:
this is the answers when you simplified
9x-5
Step-by-step explanation:
I hope this help!
Safety regulations require that the time between airplane takeoffs (on the same runway) will be at least 4 minutes. When taking off, the run time of an airplane on the runway is 24 seconds. Planes are on average waiting 5 minutes and 54 seconds for take-off. On average there are 12 planes taking off per hour. How many planes are either on the runway or waiting to take off?
Answer:
1 plane either on the runway or waiting to take off
Step-by-step explanation:
We are given;
Frequency of take off = 12 planes per hour = 12/60 = 0.2 planes per minute
Waiting time on runway = 5 minutes 54 seconds = 5.9 minutes
Run time on runway = 24 seconds = 24/60 minutes = 0.4 minutes
To solve this question, we will use Little's law which is given by the formula;
System inventory = rate of flow × throughput time
Now, rate of flow is the same as Frequency of take off.
Thus, rate of flow = 0.2 planes per minute
Throughput time = Waiting time on runway + Run time on runway
Thus;
Throughput time = 5.9 minutes + 0.4 minutes
Throughput time = 6.3 minutes
Thus;
System inventory = 0.2 × 6.3 = 1.26 planes
Thus is approximately 1 plane.
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!!!!!!!!
Answer:
11fl oz/per hr divided by 5.333=2.0625 or rounded to the nearest tenth 2.1 gallons per day.
Step-by-step explanation:
choose the correct congruence statement
Answer:
To write the congruence statement, you need to line up the corresponding parts in the triangles: \begin{align*}\angle R \cong \angle F, \angle S \cong \angle E,\end{align*} and \begin{align*}\angle T \cong \angle D\end{align*}. Therefore, the triangles are \begin{align*}\triangle RST \cong \triangle FED\end{align*}.
Step-by-step explanation:
what information do you need to know to write an equation relating two quantities that have a proportional relationship
Answer:Two quantities have a proportional relationship if they can be expressed in the general form y = kx, where k is the constant of proportionality. In other words, these quantities always maintain the same ratio. That is, when you divide any pair of the two values, you always get the same number k.
Step-by-step explanation:
State whether the data described below are discrete or? continuous, and explain why. The volumes left parenthesis in cubic feet right parenthesis of different rooms Choose the correct answer below. A. The data are discrete because the data can take on any value in an interval. B. The data are discrete because the data can only take on specific values. C. The data are continuous because the data can take on any value in an interval. D. The data are continuous because the data can only take on specific values.
Answer:
The correct answer is:
The data are continuous because the data can take on any value in an interval. (C)
Step-by-step explanation:
Discrete data are data that can take on certain limited values. There is a limit to what values can be assigned to such data. For example, the number of children in a school will just be whole numbers, either 20 or 50 or 55 or 108, etc, you cannot have 100.5 children. This makes it limited to the values it can take on, hence it is discrete
Continuous data, on the other hand, are data that can take on any value within a scale. The possibility of assigning a value is unlimited. for example height. The height can be 3m, 3.8m, 4.57m, etc, there's no limit to the possibility that a height can take. Other examples are; temperature, weight, acceleration, volume etc. In this example the volume of a room in cubic feet can be 30ft³, 50.6ft³, etc. The possibilities are endless, hence it is a continuous data.
Help me please I don’t get it I put false and my teacher said it’s wrong
ur teacher is wrong im in algebra 2 an this is correct
Ignore this pls . Z z z z z z
why post if I'm supposed to ignore LOL
4 - t = 3(t - 1) - 5
Answer:
T=3
Step-by-step explanation:
4-T = 3(t-1) -5
4-t=3T -3-5
^^ distribute
-T=3T-12
^^combine like terms and subtraction prop. of equality.
-4T=-12
^^ subtraction property of equality
(-4T=12)/-4
^^ thats just getting rid of the -sign, then its also simpliying
T=3
Enter an equation for the statement.
Four times the length of a segment x is 7ft.
the equation is ____=____
Answer: 4x= 7ft.
Step-by-step explanation: Since, there is a four and an unknown variable (x), put them together to create 4x. Then, put an equal sign, and put 7 feet next to the equal sign.
12c+12 =12c+9
How do I show the work for this
Answer:
hope that helps :))
Step-by-step explanation:
Step 1: Subtract 12c from both sides.
12c+12−12c=12c+9−12c
12=9
Step 2: Subtract 12 from both sides.
12−12=9−12
0=−3
