How much water must be evaporated from 24 ounces of a 5% salt solution to make a 6% salt solution?
Answers
A solution containing 6% salt requires the evaporation of 4 ounces of water.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The amount of water that needs to evaporate from 24 ounces of a 5% salt solution in order to create a 6% salt solution is what is being asked for in the inquiry.
The initial quantity of the solution is given to be 24 ounces.
The amount of salt in it is 5%, that is, 5% of 24 ounces = 1.2 ounces.
Thus, the final quantity of the solution is 24 - x ounces. But, the amount of salt remains constant at 1.2 ounces.
Now, we are asked for evaporation, such that the solution contains 6% salt.
This can be shown as:
1.2/(24 - x) = 6%.
To get the value of x, we solve this as:
1.2/(24 - x) = 6%,
24 - x = 1.2/6%,
24 - x = 20,
x = 24 - 20,
x = 4.
Therefore, the solution containing 6% salt requires the evaporation of 4 ounces of water.
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Related Questions
The table shows the distance, in feet, a ball travels t seconds after being dropped from a 980-foot building. The equation d(t) = 9.8t2 models the function shown in the table. What are the restricted domain and range of the function? D = {0, 2, 4, 6, 8} and R = {0, 39.2, 156.8, 352.8, 627.2} D = {0 ≤ t ≤ 8} and R = {0 ≤ d(t) ≤ 627.2} D = {0 ≤ t ≤ 8} and R = {0 ≤ d(t) ≤ 980} D = {0 ≤ t ≤ 10} and R = {0 ≤ d(t) ≤ 980}
Answers
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
On edge
an airplane takes 3 hours to travel a distance of 1440 miles with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in the still air and the speed of the wind.
Answers
Answer:
The speed of the plane in the still air is 420 miles/hour
The speed of the wind 60 miles/hour
Step-by-step explanation:
Let the speed of the plane with the wind be v
Let the speed of the plane against the wind be u
Now, speed = distance/time
With the wind,
v = (1440 miles)/(3 hours) = 480 miles/hour
v = 480 miles/hour
Against the wind,
u = (1440 miles)/(4 hours) = 360 miles/hour
u = 360 miles/hour
Now, let the speed of plane be p, and speed of wind be w,
Now, with the wind, the speed is 480 mph,
so,
speed of plane + speed of wind = 480 mph
p + w = 480 (i)
and against the wind, the speed is 360 mph,
so,
speed of plane - speed of wind = 360mph
p-w = 360 (ii)
adding equations (i) and (ii), we get,
p+w + p-w = 480 + 360
2p = 840
p = 840/2
p = 420 miles/hour
Then, the speed of the wind will be,
p + w = 480,
420 + w = 480
w = 480 - 420
w = 60 miles/hour
The speed of the plane in still air is calculated to be 420 mph, and the speed of the wind is calculated to be 60 mph by solving the two simultaneous equations obtained from the time, rate, and distance relationship.
Explanation:This problem is about the rate, time, and distance relationships. The rate at which the airplane travels in still air is r (unaffected by wind), and the speed of the wind is w. When the plane flies with the wind, it is 'assisted' and therefore travels faster - at a speed of (r + w); against the wind, it travels slower - at a speed of (r - w).
From the problem, we know that:
The trip with the wind covers 1440 miles in 3 hours, so (r + w) * 3 = 1440The return trip against the wind covers the same 1440 miles in 4 hours, so (r - w) * 4 = 1440By solving these two equations, we get the following:
r + w = 480r - w = 360Adding these two gives 2r = 840 => r = 420 mph (the speed of the plane in still air), and subtracting gives 2w = 120 => w = 60 mph (the speed of the wind).
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Find the length of the confidence interval given the following data:
1. = 0.3, n = 45, confidence level 98% 7
2. = 0.5, n = 50, confidence level 95%
3. = 1.5, n = 70, confidence level 99%
Answers
Step-by-step explanation:
I hope its helped thank you ! brainlest pls if i can
!! Dont report my asnwer just delete it !!
2.Ainsley thought there were 25 students in her math class, but there were actually 27 students. What is
her percent error?
Answers
Next, we need to find the absolute value of this difference. Since the difference is 2 students, the absolute value of the difference is simply 2.
Finally, we need to divide the absolute value of the difference by the actual value and multiply the result by 100 to find the percent error. In this case, the percent error is (2 / 27) * 100 = 7.4%. Therefore, Ainsley's percent error is 7.4%
A Humvee can travel 162 miles on 18 gallons of gas. How many miles can it travel on 5 gallons of
gas? State your answer clearly with a label.
Answers
Answer:
45 miles
Step-by-step explanation:
\(\frac{162}{18}=9\) mi/gal
Multiplying this by 5, we get 45 miles.
Drag a reason to each box to complete the proof
Answers
A satellite flies 79550 miles in 10.75 hours. How long would it take to fly 39664 miles?
Answers
Answer: 134/25
Step-by-step explanation:
hope this helps
What postulate/theorem can be used to prove the following triangles congruent?
Answers
Answer: SAS
Step-by-step explanation:
It is given that the two sides are congruent.
The angle between the two congruent sides is also congruent because of the vertical angle theorem.
Since a side, angle, and side are congruent, the theorem is SAS.
Select the correct answer. Which equation matches the function shown in the graph? A waveform on a coordinate plane starts from the y-axis at 1 unit and passes through (pi, minus 1), (2 pi, 1), and (3 pi, minus 1) and intercepts the x-axis at pi by 2, 3 pi by 2, 5 pi by 2, and 7 pi by 2.
Answers
The correct equation that matches the given graph is y = cos(x) + 1.
To determine the equation that matches the given graph, we can observe the key features and points provided.
The waveform starts from the y-axis at 1 unit: This suggests that the function has a vertical shift of 1 unit upwards.
The waveform passes through (π, -1), (2π, 1), and (3π, -1): This indicates that the function oscillates between the values of -1 and 1 as x increases.
The waveform intercepts the x-axis at π/2, 3π/2, 5π/2, and 7π/2: This suggests that the function has zeros or x-intercepts at these values.
Based on these observations, the function can be represented as a cosine function.
The cosine function with a vertical shift of 1, oscillating between -1 and 1, and having zeros at π/2, 3π/2, 5π/2, and 7π/2 is:
y = cos(x) + 1
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First to answer get brainlyest
Answers
2/3(3z-6) please help
Answers
Answer:
2z-4
Step-by-step explanation:
By using distributive property, 2/3 * 3z = 2z and 2/3 * -6 = -4
This means the answer is 2z-4
\(Answer: \large\boxed{2z-4}\)
Step-by-step explanation:
To solve:
\(\frac{2}{3} (3z-6)\)
We must use the distributive property and distribute 2/3 to the 3z and -6
...
\(\frac{2}{3} (3z-6)\)
\(=\frac{2}{3} (3z) + \frac{2}{3} (-6)\)
\(=\frac{6z}{3} + -\frac{12}{3}\)
\(=2z-4\)
CF AND AH ARE SKEW PERPENDICULAR PARALLEL
Answers
Reason: The two line segments CF and AH point in the same direction, and they never intersect. Therefore, we consider them parallel.
Skew lines are ones that point in different directions. An example of a pair of skew lines would be AB and DE. Skew lines never intersect, but we don't consider them parallel.
5 litres of paint cost 210 work out the cost of 50 L of paint
Answers
Answer:
2100
Step-by-step explanation:
5/210=50/x
x= 50*210 / 5
x= 2100
Where does the 6π belong in the Veen diagram?
Answers
Answer:
D
Step-by-step explanation:
It is irrational because you cant write it as a fraction
Ifx + iy = 1
1+i/
1-i
prove that, x² + y² = 1
Answers
HI MATE
Determine the value of x. Round to 2 decimal places.
Answers
Answer:
I think it would have to be 17 and if it's not it's -17 and if it's not that give up on math this is not going to help in the real world sorry have a good day
Help pls I really need help
Answers
The functions for this problem are classified as follows:
a) q(x) is an odd function.
b) r(x) is an even function.
What are even and odd functions?In even functions, we have that the statement f(x) = f(-x) is true for all values of x. -> meaning that r(x) is an even function.In odd functions, we have that the statement f(-x) = -f(x) is true for all values of x. 0> meaning that q(x) is an odd function.If none of the above statements are true for all values of x, the function is neither even nor odd.More can be learned about odd and even functions at https://brainly.com/question/2284364
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Please gimme the variables to define the sytem and 2 system of equations
Answers
Answer:
\(8.5x+4y=99.5,\ x+y=17\)
Step-by-step explanation:
\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)
Four strikeouts to 10 strikeouts find the percent of change
Answers
Answer:
40%
Step-by-step explanation:
40%
Evaluate 3|12−x|−4 when x=15
Answers
Answer:
5
Step-by-step explanation:
3 x |12 - x| - 4
3 x |12 - 15| - 4
3 x 3 - 4
9 - 4
5
A new firm loses $2000 in its first month, but its profit increases by $400 in each succeeding month for the next year. What . is its profit in the twelfth month?
Answers
Answer:
Ans. Given, A1 = $2000 profit = A1 + (n-1)d d = $400 = -2000+(12-1)400 n = 12 = $2400
The required profit in the twelfth month is $2400.
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values
To solve this problem, we need to use the arithmetic sequence formula to find the profit of each month, then add up the profits for the first 12 months to find the profit in the twelfth month.
The first term (a₁) is -2000, the common difference (d) is 400, and we need to find the twelfth term (a₁₂).
We use the formula for the nth term of an arithmetic sequence:
an = a₁ + (n - 1)d
So, substituting the given values, we get:
a₁₂ = -2000 + (12 - 1)400
a₁₂ = -2000 + 11*400
a₁₂ = -2000 + 4400
a₁₂ = 2400
Therefore, the profit in the twelfth month is $2400.
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The area of a square is 36 sq.cm, then its perimeter is a) 24 cm b) 6 cm c) 144 cm d) 36 cm
Answers
Answer:
Step-by-step explanation:
3.6*
It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2
For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.
We get
36 = s^2
Now, we need to get the square root of both sides, which gives us
s = √36 s = 6 cm
Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.
Therefore, the perimeter of the square is 24 cm.
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suppose that we choose a reasonable test statistic as the absolute difference between the average birth weights of the two groups (i.e., the babies of non-smokers and the babies of mothers who smoke). caution: this test statistic is slightly different from what is presented in the data 8 textbook, chapter 12.1.
Answers
The test statistic you have chosen is an appropriate measure to compare the difference in average birth weights between two groups of babies (babies of non-smokers and those of mothers who smoke).
The test statistic chosen is the absolute difference between the average birth weights of the two groups, which can be used to test the hypothesis that there is a difference in the average birth weight between the babies of non-smokers and the babies of mothers who smoke. This test statistic is commonly used in hypothesis testing to compare means between two groups.
The absolute difference between the average birth weights accounts for any direction of the difference (i.e. whether the non-smokers group has higher average birth weight or the smokers group has higher average birth weight), making it a suitable test statistic for hypothesis testing.
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Can someone help me Solve:
-2√3+√75=
Answers
Answer:
\(3\sqrt{3}\)------------------
Simplify in below steps:
\(-2\sqrt{3} +\sqrt{75} =\)\(-2\sqrt{3} +\sqrt{25*3} =\)\(-2\sqrt{3} +\sqrt{5^2*3} =\)\(-2\sqrt{3} +5\sqrt{3} =\)\(3\sqrt{3}\)Given m ∥ n, find the value of x.
Answers
given that m is parallel to n,
the angle opposite (2x + 16)° is also (2x + 16)° as vertically opposite angles are equal.
using the corresponding angle rule we know that:
2x + 16 = 96
2x = 80
so x = 40
How does the radian measure of a central angle of circle O with radius 3 cm change when
circle O is dilated by a factor of 2? Explain.
Answers
Answer:
Step-by-step explanation:
The radius of the is extended to 2*3 = 6 cm.
The measure of the central angle is unchanged.
What’s the mean of 46,57,66,63,49,52,61,68
Answers
Answer:
Step-byHow do I calculate the mean?
The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value
-step explanation:
46+57+66+63+49+52+61+68= 462/8 the total number of observation
the answer 57
the answer 57
Referring to the figure, the two rectangles shown have
equal areas. Find the value of x.
Answers
Answer:
x = 2
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × breadth
given the rectangles have equal areas then equating the two areas gives
4x × 9 = 4(6x + 6) , that is
36x = 24x + 24 ( subtract 24x from both sides )
12x = 24 ( divide both sides by 12 )
x = 2
2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.
Answers
Answer:
4/15
Step-by-step explanation:
2/5 drive
1/3 bus
and rest walk
fraction of those who walk is 1-(2/5+1/3)
2/5+1/3=(6+5)/15=11/15
15/15-11/15=4/15
FIND THE AREA PLEASE
Answers
Answer:
the area of the shape is 48m
Step-by-step explanation:
10*4=40
2*4=8
40+8=48
brake it up into two triangles. one is a triangle that is 10m tall and 8m wide at the top. you can solve that by doing 4*10=40. the other triangle is 4m wide at the bottom and 2m tall. you can solve that by doing 2*4=8. and 40+8=48.