si 8 litros de agua contiene 250 gramos de cal ¿que cantidad de agua le debemos agregar para que en cada lito exista 20 gramos de cal?
Answers
Final Answer:
La cantidad de agua que se debe agregar para que haya 20 gramos de cal por litro es de aproximadamente 0.625 litros. Esto se calcula ajustando la proporción actual de 250 gramos de cal en 8 litros de agua. La nueva proporción será de 20 gramos de cal por litro.
Step-by-step explanation:
Para resolver este problema, podemos usar una regla de tres simple. La relación actual es de 250 gramos de cal por 8 litros de agua. Queremos saber cuántos gramos de cal habría en 1 litro de agua.
Primero, calculemos cuántos gramos de cal hay por litro de agua en la situación actual:
[tex]\( \frac{250 \, \text{gramos de cal}}{8 \, \text{litros de agua}} \)[/tex]
Ahora, queremos encontrar cuántos gramos de cal habría en 1 litro de agua, así que multiplicamos la cantidad actual por 1/8:
[tex]\( \frac{250 \, \text{gramos de cal}}{8 \, \text{litros de agua}} \times \frac{1 \, \text{litro de agua}}{8} \)[/tex]
Esto nos dará la cantidad de gramos de cal por litro de agua en la nueva situación. Ahora, queremos que esta cantidad sea de 20 gramos:
[tex]\( \frac{250 \, \text{gramos de cal}}{8 \, \text{litros de agua}} \times \frac{1 \, \text{litro de agua}}{8} = x \, \text{gramos de cal por litro} \)[/tex]
Queremos que ( x ) sea igual a 20 gramos:
[tex]\( x = 20 \, \text{gramos de cal por litro} \)[/tex]
Entonces, puedes resolver esta ecuación para encontrar cuántos litros de agua se necesitan:
[tex]\( \frac{250 \, \text{gramos de cal}}{8 \, \text{litros de agua}} \times \frac{1 \, \text{litro de agua}}{8} = 20 \, \text{gramos de cal por litro} \)[/tex]
Resolviendo esta ecuación, obtendrás la cantidad de litros de agua necesarios para lograr que haya 20 gramos de cal por litro.
Related Questions
Which equation has no solution?
4(x + 3) + 2x = 6(x + 2)
5 + 2(3 + 2x) = x + 3(x + 1)
5(x + 3) + x = 4(x + 3) + 3
4 + 6(2 + x) = 2(3x + 8)
Answers
Answer:
B: 5 + 2(3 + 2x) = x + 3(x + 1)
Step-by-step explanation:
Just took it it's correct so leave a like
Find the lcm of 6, 5, 3
Answers
6 = 6 12 18 24 30 36
5 = 5 10 15 20 25 30
3 = 3 6 9 12 15 18 21 24 27 30
It would be 30.
Hope This Helps You!
Good Luck :)
6: 6, 12, 18, 24, 30
5: 5, 10, 15, 20, 25, 30
3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
As you can see, all of the three numbers have a multiple of 30. The LCM of 6, 5, and 3 is 30.
Write 93 11/16 as a decimal
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I hope this helps:)
Involves 6 suspects, 6 weapons and 9 rooms. one of each is randomly chosen and the object of the game is to guess the chosen three. how many solutions are possible?
Answers
Answer:
21
Step-by-step explanation:
Marty wants to paint a box. He can choose to use either blue, green, yellow, or black paint. Also, he can style the paint by painting with a brush, a roller, or a sponge. How many different combinations of color and painting method can Marty choose?
Answers
Answer:
12
Step-by-step explanation:
Marty can choose his paint in 4 ways and his style in 3 ways. Thus there are a total of 4x3=12 different combinations he can choose.
You mow your lawn in 5 hours and earn $45. What is your hourly wage?
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45/5 = 9
9 is the amount of money you earn per hour
so your answer is $9 per hour
hope this helps
What decimal equivalent of 5/6
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Central Middle School has 2,470 students and the ratio of students to teacher is 26:1. How many new teachers are needed to reduce this ratio to 19:1?
Answers
[tex]\bf \cfrac{student}{teacher}\qquad 26:1\implies \cfrac{26}{1}=\cfrac{\stackrel{2470}{students}}{\stackrel{teachers}{t}}\implies \cfrac{26}{1}=\cfrac{2470}{t} \\\\\\ t=\cfrac{1\cdot 2470}{26}\implies \boxed{t=95}[/tex]
hmm alrite... what if the amount of students is kept the same, but more teachers come in, that the ratio changes and is no longer 26:1 but 19:1?
how many teachers will there be then?
[tex]\bf \cfrac{student}{teacher}\qquad 19:1\implies \cfrac{19}{1}=\cfrac{\stackrel{2470}{students}}{\stackrel{teachers}{t}}\implies \cfrac{19}{1}=\cfrac{2470}{t} \\\\\\ t=\cfrac{1\cdot 2470}{19}\implies \boxed{t=130}[/tex]
so, if there are 130 teachers and 2470 students, the ratio is 19:1.
at 26:1 is with 95 teachers.
how many more new teachers are needed? well, surely you'd know that.
Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words. how many ways can the letters of wsilutawsiluta be arranged? identify the correct unscrambling, then determine the probability of getting that result by randomly selecting one arrangement of the given letters.
Answers
Find the present value of Php 50,000.00 due in 4 years if money is invested at 12% compounded semi-annually.
Answers
Php 50,000.00 * (100+6)%^(4 years/ 6 months)=
Php 50,000.00 * 106%^(8)= Php 79,692.40
Brainiest to Response. AP Statistics Help on Hypothesis Testing! I have various AP Stats questions I'd like to check with those who completed this course or knows about p-values, Hypothesis Testing, and alphas. If you've taken the course and can help me with some AP Statistics questions, I'd appreciate it.
Answers
between which two square roots can u find 3.14
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The square root of 16 is 4
Between those square roots lies 3.14
How are the decimals .009 and .09 related?
Answers
Answer:
0.09 is ten times of 0.009
Step-by-step explanation:
The two decimals are 0.009 and 0.09
We can rewrite the decimals in the scientific notation.
0.009 = [tex]9\times 10^{-3}[/tex]
And 0.09 = [tex]9\times 10^{-2}[/tex]
Now we divide first decimal 0.09 by 0.009
[tex]\frac{0.09}{0.009}=\frac{9\times 10^{-2} }{9\times 10^{-3} }[/tex]
=[tex]\frac{10^{-2}}{10^{-3}}[/tex]
= [tex]\frac{10^{3} }{10^{2} }=10[/tex]
Therefore, 0.09 is ten times of 0.009
√32 greater or less than 5.1
Answers
Your answer will be greater because 5.6 is greater than 5.1.
Simplify the complex number i^39 as much as possible.
Answers
Answer:
-i
Step-by-step explanation:
i = [tex]\sqrt{-1}[/tex]
[tex]i^{2}[/tex] = - 1
Every [tex]i^{x}[/tex] will be equal to -1, when n is even.
Break apart [tex]i^{39}[/tex] into ([tex]i^{38}[/tex])([tex]i^{1}[/tex])
Since 38 is even, [tex]i^{38}[/tex] will be equal to -1
-1*([tex]i^{1}[/tex]) = -i
To simplify i^39, we must use the cyclical pattern of i's powers, which repeats every four. i^39 simplifies to i^3, which is equal to -i.
To simplify the complex number i^39, we should recognize the cycle of powers of i. Since i represents the square root of -1, the powers of i cycle every four powers:
i = ii^2 = -1i^3 = -ii^4 = 1To find the equivalent of i^39, we can divide 39 by 4 to get a quotient and a remainder: 39 divided by 4 is 9 with a remainder of 3. This means that i^39 is equivalent to i^3, which is -i.
in order to lose 1 pounds one, must burn off 3500 calories. To burn off 100 calories you must bicycle at 9 mph for 15 minutes. How long do you have to bicycle at 9 mph to lose 7 ponds?
Answers
100 cal * x = 3500
x= 35
You'll need 35 15 minutes to burn off one pound so, 525 minutes per pound, and you need to lose 7 pounds so,
525*7 = 3675 minutes OR 61.25 hours
Final answer:
The student needs to bicycle for a total of 61.25 hours at 9 mph to lose 7 pounds.
Explanation:
The subject of the question is Mathematics, and it relates to calculating the amount of exercise needed to achieve a certain weight loss goal. The student wants to know how long they must bicycle at 9 mph to lose 7 pounds.
First, we know that to lose 1 pound, one must burn off 3,500 calories. Since 15 minutes of bicycling at 9 mph burns 100 calories, we calculate the time required to burn 3,500 calories (for 1 pound) and then multiply by 7 for the 7 pounds.
To lose 1 pound:
3,500 (calories per pound) / 100 (calories per 15 minutes) = 35 (15 minute sessions to lose 1 pound).
35 sessions * 15 minutes = 525 minutes.
To lose 7 pounds:
525 minutes (to lose 1 pound) * 7 = 3,675 minutes.
3,675 minutes can be converted into hours by dividing by 60 minutes per hour:
3,675 minutes / 60 = 61.25 hours.
Therefore, the student needs to bicycle for a total of 61.25 hours at 9 mph to lose 7 pounds.
Frances left a 19% tip on a meal, including the tip, it's cost was $27.37. What was the cost of the meal before the tip?
Answers
So 19% in decimal is 0.19
so 27.37 x 0.19 = 5.2 (If not rounded it is 5.2003)
5.2 - 27.37 = 22.17 (If not rounded 22.167)
Answer:
$22.17
Step-by-step explanation:
Please see attachment. Calculations executed in black ink. Justification explained in green ink. Solution highlighted in blue.
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Thank you!
Janae bought wallpaper that cost $25.90 for each roll of 14 square feet. Find the unit price.
Answers
Answer:
The unit price is $1.85
Step-by-step explanation:
Janae bought a roll of wallpaper that cost = $25.90
Each roll is of = 14 square feet
Cost per square feet = [tex]\frac{25.90}{14}[/tex] = $1.85
The unit price is $1.85
Find 10-3 Write the subtraction fact two ways?
Answers
Other ways to write it:
3 + 7 = 10.
7 + 3 = 10.
I hope this helps! :>
There are two ways to write the subtraction fact 10 - 3:
10 - 3 = 7
7 + 3 = 10
What are these two ways?The first way is to simply subtract the two numbers. The second way is to add the two numbers together to get the original number.
Both ways are correct and can be used in different situations. For example, if you are trying to figure out how many apples are left if you have 10 apples and you eat 3, you would use the first way to subtract the two numbers to get 7 apples.
If you are trying to figure out how many apples you need to buy to have 10 apples if you already have 3 apples, you would use the second way to add the two numbers together to get 7 apples.
Find out more on subtraction fact here: https://brainly.com/question/1726293
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Travis has a savings account that his parents opened for him. It pays 6% annual interest. His uncle also opened an account for him, but it pays 8% annual interest. If there is $500 more in the account that pays 6%, and the total interest from both accounts is $100, how much money is in each of the accounts?
Answers
how much is 6% of a? well (6/100) * a, or 0.06a.
how much is 8% of b? well (8/100) * b, or 0.08b.
so hmm whatever "a" and "b" amounts are, we know that their yield is $100, thus 0.06a + 0.08b = 100.
now, there's more money in "a" than in "b", 500 bucks more, so whatever "b" is, we know that a = b + 500.
[tex]\bf \begin{cases} 0.06a+0.08b=100\\ \boxed{a}=b+500\\ ----------\\ 0.06\left( \boxed{b+500} \right)+0.08b=100 \end{cases} \\\\\\ 0.06b+0.08b+30=100\implies 0.02b=70\implies b=\cfrac{70}{0.02} \\\\\\ b=3500[/tex]
how much was deposited in the 6% one? well, a = b + 500.
please help
An arithmetic sequence has this recursive formula
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What is the equilibrium price per DVD?
Answers
how many significant digits are in 23,000
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If a tire rotates through 250 degrees in 15 seconds, how many degrees does it rotate in 45 seconds?
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The difference between 4 and the product of 6x and 40
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One fifth of the employees of Delta Industries, Inc., work in the Southeastern region. If the company employs 252 workers in that region, what is the total number of employees working for the company?
Answers
[tex]\bf \begin{array}{ccll} amount&fraction\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 252&\frac{1}{5}\\\\ x&\frac{5}{5} \end{array}\implies \cfrac{252}{x}=\cfrac{\frac{1}{5}}{\frac{5}{5}}\implies \cfrac{252}{x}=\cfrac{\frac{1}{5}}{1}\implies \cfrac{252}{x}=\cfrac{1}{5} \\\\\\ \cfrac{252\cdot 5}{1}=x[/tex]
One fifth of the employees of Delta Industries, Inc., work in the Southeastern region. The total number of employees working for the company is 1260.
Explanation:If one fifth of the employees of Delta Industries, Inc. work in the Southeastern region, and there are 252 workers in that region, we can find the total number of employees by multiplying 252 by 5.
5 times 252 equals 1260. Therefore, the total number of employees working for the company is 1260.
0.04 is 1\10 of what
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hope this helps
In the 1st generation, there are 4 monkeys on the island.....
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[tex]a_n = a_1 (r^{n-1})[/tex]
You are given initial value of 4.
a1 = 4
The rate of growth is it doubles every generation or multiplies by 2.
r = 2
Answer:
[tex]a_n = 4 (2^{n-1})[/tex]
Answer:
you're answer is letter D.
Step-by-step explanation:
Prove that if d|m and d|n, then d|(m+n)
Answers
Now, [tex]m+n=dk_1+dk_2=d(k_1+k_2)=dk_3[/tex], i.e. there is some [tex]k_3[/tex] such that [tex]m+n[/tex] is a multiple of [tex]d[/tex], i.e. [tex]d\mid(m+n)[/tex].
Raul and Ruth Are saving for a trip.Raul starts with $350 and saves $15 per week.Ruth starts with $200 and saves $25 per week. When will they have the same amount?
Answers
Raul: rl=$350 + $15x
Ruth: rh=$200 + $25x
In both cases, x represents the number of weeks elapsed.
When will these two people have saved up the same amount? Set rl = rh and solve for x, the number of weeks elapsed:
$350 + $15x = $200 + $25x
$150 = $10x gives us x= 15. Their savings will be equal after 15 weeks.
Answer:
15
Step-by-step explanation: