Answers
Using proportions, we have that:
A. 0.05x + 0.4(10 - x) = 0.2(10).
B. You need 5.7 liters of the 5% solution and 4.3% liters of the 40% solution.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
In item A, we have that the total amount that she has is 20% acid of 10 liters, hence:
0.2(10).
She wants to split it into a 5% solution and a 40% solution, a total of 10 liters, hence the amounts to each solution are x and 10 - x, as follows:
0.05x + 0.4(10 - x).
Hence the equation is:
0.05x + 0.4(10 - x) = 0.2(10).
The solution for x is found as follows:
0.05x + 4 - 0.4x = 2.
0.35x = 2
x = 2/0.35
x = 5.7.
Hence, for item b:
You need 5.7 liters of the 5% solution and 4.3% liters of the 40% solution.
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Related Questions
Max has a small pickup trunk that carries 3/4 cord of firewood. find the number of trips max would have to make in order to deliver 12 cords of wood?
Answers
The number of trips max would have to make in order to deliver 12 cords of wood is 16 trips.
We will use unitary method to solve this problem.
Pick up truck carry ( 3/4 ) cord of firewood in trip = 1
Pick up truck will carry 1 cord of firewood in the trips = ( 1/(3/4) ) trips
= ( 4/3 ) trips
Truck will carry 12 cords of firewood in the trips = 12 × ( 4/3 )
= 16 trips.
Therefore, the number of trips max would have to make in order to deliver 12 cords of wood is 16 trips.
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when running a half marathon (13.1 miles), it took noah 8 minutes to run from mile marker 1 to mile marker 2, and 19 minutes to run from mile marker 2 to mile marker 4. how long did it take noah to run from mile marker 1 to mile marker 4?
Answers
Answer:
27
Step-by-step explanation:
Please help me out with my homework I am struggling
Answers
Answer:
v = 72
Step-by-step explanation:
If the length of both the sides are 12, it means it is an Isosceles triangle which means 2 sides of a triangle are equal. If both sides are equal then both angles will be equal too.
54 and 54
54 + 54 + v = 180
108 + v = 180
v = 72
Please help with problem 7
Answers
Answer:
D
Step-by-step explanation:
When 7 and 14 are divided by their respective co-ratios, both quotients come out to 2.3333333333333. This means that D forms a porportion.
Answer:
Step-by-step explanation:
The answer is D because 7/14=0.5 and so does 3/6
Find the distance between the two points in simplest radical form. (0,-1) and (-5, -5)
Answers
The distance between the given two points is 7 units.
What do we mean by distance?Distance is a numerical or qualitative measurement of the distance between two objects or points. The distance can refer to a physical length or an estimate based on other criteria in physics or everyday usage.Formula: [tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
Put the values in the formula:
x₁ = 0 y₁ = -1x₂ = -5 y₂ = -5Then,
[tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\sqrt{(-5-0)^{2}+(-5-(-1))^{2} } \\\sqrt{25+(25-1)} \\\sqrt{25+24} \\\sqrt{49} \\=7[/tex]
Therefore, the distance between the given two points is 7 units.
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Name the property that is used in 5 ⋅ n ⋅ 2 = 0 . Then find the value of n.
Answers
Answer: Zero product property
n = 0
=========================================
Explanation:
The zero product property is the idea that if A*B = 0, then either A = 0 or B = 0 or both are zero.
This is because we cannot multiply nonzero values to get a result of zero.
In the equation 5*n*2 = 0, we have 5 and 2 as nonzero, which forces the variable n to be zero. So this is why n = 0 is the only solution here.
-----------------
Extra info:
The zero product property is often used in factoring. For example, x^2+5x+6 = 0 factors to (x+3)(x+2) = 0. Then we set the pieces equal to zero and solve for x
x+3 = 0 leads to x = -3
x+2 = 0 leads to x = -2
solve the equation. (find only the real solutions. enter your answers as a comma-separated list.) 5x2 10x 4
Answers
Answer:
400
Step-by-step explanation:
5x2x10x4=
Reflection across y = x
Answers
When we reflect a point across the line y = x, the x- and y-coordinates swap positions.
What do we mean by Reflection across y = x?When we reflect a point across the line y = x, the x- and y-coordinates swap places. When we reflect over the line y = -x, the x- and y-coordinates swap places and become negated (the signs are changed). The line y = x defines the point (y, x).The line y = -x is the point (-y, -x).Remember that each point of a reflected image is the same distance from the line of reflection as the corresponding point of the original figure. The line of reflection will be directly in the middle of the original figure and its image.Therefore, when we reflect a point across the line y = x, the x- and y-coordinates swap positions.
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Please help asap. This is for algebra 1
Answers
Answer:
A. ≈65in
B. ≈68in
Step-by-step explanation:
Girls: 25 + 1.17h
Boys: 22.7 + 1.37h
A. 25 + 1.17(34) = 25 + 39.78 = 64.78in
B. 22.7 + 1.37(33) = 22.7 + 45.21 = 67.91in
Since it's asking for the nearest inch:
A. ≈65in
B. ≈68in
I hope this helps!
need help with homework
Answers
Answer:
a
Step-by-step explanation:
The product of an integer and a decimal number will never be an integer.
Answers
The statement that the product of an integer and a decimal number will never be an integer is false
How to determine the true statement?The statement is given as
The product of an integer and a decimal number will never be an integer.
The above statement is false.
Take for instance, we have
2 x 2.5
2 is an integer and 2.5 is a decimal number
The product is
2 x 2.5 = 5
5 is an integer
Hence, the statement that the product of an integer and a decimal number will never be an integer is false
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Which letter is at coordinate position (9, 5)?
OA. Y
OB. R
OC. F
OD. Q
Answers
The point R has an abscissa 9 and ordinate 5
:)
Nine right
Five up
Select the correct answer. A graph plots two points at (negative 5, negative 3) and (10, negative 8) on the x y coordinate plane. A diagonal curve connects both points. What is the range of the function shown on the graph above? A. B. C. D.
Answers
Based on the given parameters, the range of the function is -8 < y < -3
How to determine the range of the function?We have the following endpoints on the graph of the function;
(x, y) = (-5, -3)
(x, y) = (10, -8)
A diagonal curve connects both points
Remove the x values to determine the range
y = -3
y = -8
-8 is less than -3
So, the range can be represented as
-8 less than y less than -3
Express less than using the inequality <
So, we have
Range: -8 < y < -3
Hence, the range of the function is -8 < y < -3
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Answer: your answer should be -8 < y < -3
Step-by-step explanation:
eight concrete specimens are constructed from a new formulation, and the compressive strength of each is measured.
Answers
The populace is the concrete produced by a certain procedure. This population is conceptual since the concrete won't exist until the sampling procedure has created it.
What is the difference between tangible and conceptual population?
It is frequently crucial to ascertain the type of population we are working with when asked to perform a sample of it. Sometimes we want to learn more about a lot of different things, like people, apple trees, cereal boxes, etc. Physical things make up the majority of this population. But occasionally, we work with a population that is determined by how well a certain method works (like flipping a coin). We cannot influence that population, but we are aware of its behavior. The population is the broad category of topics about which we are interested in learning more. Since we are dealing with concrete objects that we can touch and interact with, it is more particularly a tangible population.
Similar to the bag of marbles, we have a 50/50 probability of seeing each result. The population does not yet exist with the coin, which is the problem. To get a result, we must flip a coin. Although it is only a notional population, we nonetheless regard "all of the coin flips" as the conceptual population.
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What does x equal in this problem ?
Answers
Answer:54
Step-by-step explanation:
nikola competed in an aquathon (swimming and running) competition. he swam at a rate of km/hr and ran at a rate of km/hr for a total distance traveled of km. if he completed the race in hours, how long did he take to complete each part of the race?
Answers
Nikola took 2 hours to finish the swimming part
Nikola took 4.5 hours to finish the running part
Define Algebra?A form of arithmetic in which the rules of arithmetic are used to combine letters that represent numbers.
Calculations:
Assume,
[tex]t=time\;in\;hrs\;to\;complete\;swimming\;part[/tex]
[tex]6.5-t=time\;in\;hrs\;to\;complete\;running\;part[/tex]
[tex]d=distance\;in\;km\;that\;he\;swam[/tex]
[tex]73.5-d=distance\;in\;km\;that\;he\;ran[/tex]
Equation of swimming part,
[tex]d=3t[/tex]
Equation of running part.
[tex]73.5-d=15\times(6.5-t)[/tex]
Substitute the value of d in running part equation,
[tex]73.5-3t=15\times(6.5-t)[/tex]
[tex]73.5-3t=97.5-15t[/tex]
[tex]12t=24[/tex]
Therefore,
[tex]t=2[/tex]
[tex]Time\;to\;complete\;summing\;part=t[/tex]
[tex]Time\;to\;complete\;summing\;part=2\;hours[/tex]
[tex]Time\;to\;complete\;summing\;part=6.5-t[/tex]
[tex]Time\;to\;complete\;summing\;part=6.5-2[/tex]
[tex]Time\;to\;complete\;summing\;part=4.5\;hours[/tex]
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11=2y-11 what is y ?????
hurryy need help fast!!!!!!
Answers
Answer:
11=2y-11
11+11=2y
22=2y
y=22/2
y=11
Answer: I got you!
The answer is below!
11=2y-11
11+11=2y
22=2y
y=22/2
y=11
Which of the following values are solutions to the inequality 3 − 4 x ≥ − 3 ? 3−4x≥−3?
Answers
The values in the solution set of the inequality are values that do not exceed 0
How to determine the values that are solutions to the inequality?The inequality expression is given as
3 − 4 x ≥ − 3
Rewrite the expression properly.
So, we have
3 − 4x ≥ −3
Add 3 to both sides of the inequality.
So, we have
3 + 3 − 4x ≥ −3 + 3
Evaluate the like terms
So, we have
− 4x ≥ 0
Divide both sides by -4
x ≤ 0
The above means that the values in the solution set of the inequality are values that do not exceed 0
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This one too pretty pleaseeeeee
Answers
Answer:
Please mark this answer as the brainliest, it would really mean a lot to me
Answer = 28 Degrees
Step-by-step explanation:
If the triangle has two sides that are the same, it is an isosceles triangle.
The rule for an isosceles triangle is "an isosceles triangle △ABC where AB = AC, we have ∠B = ∠C."
So in this case, it would be FE = FG, and ∠E = ∠G.
The sun is about 93×10 to the fifth power miles from earth what is the distance when I am a whole Number
Answers
Answer:
93 x 10 = 930^5 = 695688369300000
Solve the equation.
-8y-8=7y +22
Answers
Shown work:
-8y-8=7y+22
+8=-7y+ 8
-8y=30+7y
-7y
30/15y = y=-2
For a college chemistry experiment, students need to prepare a solution containing ethylene glycol. They are each given 20 fluid ounces of a solution containing 2% ethylene glycol, to which they will add another solution that contains 12% ethylene glycol. How much of the 12% solution should they add to obtain a 5% ethylene glycol solution?
Answers
Students should add 8.6 fluid ounces of 12% ethylene glycol.
Using the relation between concentration and volume of solution to find the required amount of 12% ethylene glycol to be used. Let the required amount of 12% ethylene glycol be x fluid ounces. Forming the relation as follows -
C₁ × V₁ + C₂ × V₂ = C₃ × V₃
C₁ and V₁ represents 2% ethylene glycol, C₂ and V₂ represents 12% ethylene glycol and C₃ and V₃ represents 5% ethylene glycol solution. As V₂ is x, so, V₃ will be (20 + x).
Keep the values in formula to find the value of x
2%×20 + 12%×x = 5%×(20 + x)
Solving the equation for the value of x
2/100×20 + 12/100×x = 5/100×20 + 5/100×x
0.4 + 0.12x = 1 + 0.05x
Rearrange the equation -
0.12x - 0.05x = 1 - 0.4
Performing subtraction on both sides -
0.07x = 0.6
Shifting 0.07 to Right Hand Side and performing division
x = 0.6 ÷ 0.07
x = 8.6 fluid ounces
Hence, 8.6 fluid ounces of the 12% ethylene glycol should be added.
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Please help me with my math 60 points
Answers
Answer: x=4
HJ=13
JK=5
Step-by-step explanation:
KH=HJ+JK
18=2x+5+3x-7
18=2x+3x+5-7
18=5x-2
5x=20
x=4
HJ=2x+5
HJ=2(4)+5
HJ=8+5
HJ=13
JK=3(4)-7
JK=12-7
JK=5
Can Someone please help me with this question? I really need help. It Is Algebra 1 and I'm not very good at it. I'm trying to pass with a B or better.
Answers
D. The solution of the quadratic equation using completing the square method is x = 7 ±√3.
What is completing the square method?Completing the square method is one of the methods to find the roots of the given quadratic equation.
In completing the square method, we have to convert the given equation into a perfect square.
The given quadratic equation;
x² - 14x + 46 = 0
collect similar terms together;
x² - 14x = -46
take half of coefficient of "x", square it and add it to both sides of the equation.
(x - 7)² = -46 + 49
(x - 7)² = 3
take square root of both sides
x - 7 = ±√3
add "7" to both sides of the equation
x = 7 ±√3
Thus, the solution of the quadratic equation using completing the square method is x = 7 ±√3.
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The graph of y = -x + 2 is negative
over the interval (4, ∞) and positive over the
interval (-∞, 4). What happens on the graph
when x = 4? Explain. MP.2
Answers
What happens when x = 4 is that the graph is equal to zero when x = 4.
How to Interpret Graph Intervals?
The information that we have is:
"The graph of y = -1/2x + 2 is is negative over the interval (4, ∞) and positive over the interval (-∞, 4)."
Now, if for values of x smaller than 4 the graph is negative and for values of x larger than 4 the graph is positive, this must be that the graph must crosses the x-axis at some point, then with only that information, we can conclude that the graph is equal to zero when x = 4.
But we could also test it with the equation:
y = -(1/2)*x + 2
if we replace the x with 4.
y = -(1/2)*4 + 2 = -2 + 2 = 0.
Then our previous hypothesis was correct.
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Put the following equation of a line into slope-intercept form, simplifying all fractions.
20x+4y=8
Answers
the answer for the given question is slope is -5 and y- intercept is 2.
The slope intercept form of a straight line is one of the most common ways to represent a line's equation. When given the slope of a straight line and the y-intercept, the slope intercept formula can be used to find the equation of a line (the y-coordinate of the point where the line intersects the y-axis).
The slope-intercept form is y = mx + b , where m is the slope and b is the y-intercept.
y = mx + b
Take 20x off both sides of the equation.
4y = 8 − 20x
Simplify each term by dividing it by 4y = 8 - 20x.
y = 2 − 5x
Reorder 2 and -5x.
y =−5x + 2
Therefore after simplification we get the slope as -5
and the y-intercept as 2
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Scott types at a rate of 10 words per minute. How many words does he type in 5 minutes?
Answers
Answer: 50 words per minute
Step-by-step explanation: if he types 10 words per minute and if you multiply that by 5 the answer is 50 words per minute
Step by step
The best way to do this is to set up your equation and cross multiply
You know 10 wpm/1 minute = x /5 minutes
Cross multiply and you get x = 50
I gave you an attachment to show the cross multiply
A clearly spelled-out statement on group participation presented to members before the group commences would be particularly important when?
Answers
It's crucial to start a topic off positively in a group discussion when you feel completely confident over your statements in order to create the correct momentum that will lead to a strong start and help you establish yourself as the group leader.
What are the qualities of a good leader?Confidence is by far the most crucial quality. A strong sense of self-assurance is essential for a leader. Self-conscious people are rarely effective leaders. A guy needs to have the self-assurance to tell people to follow him. The leader must have faith in his judgement and actions. An important trait in a leader is honesty. If someone wants to gain followers, they must exhibit honesty and integrity. A leader needs to be an excellent innovator. He must exercise creativity in his work. Most importantly, innovation ensures a group's or invention's continuous existence. Innovation is necessary for growth to occur.
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Calculate the interquartile range of the data set below: 30, 6, 1, 22, 19, 7, 8
Answers
Answer:
IQR = 13
Step-by-step explanation:
first step is to find the median of the data set.
rearrange the data into ascending order. Then the median is the middle value.
1 , 6 , 7 , 8 , 12 , 19 , 30 ← in ascending order
↑ middle
then median = 8
the interquartile range (IQR) is calculated as
IQR = Q₃ - Q₁ ( Q₃ is the upper quartile and Q₁ the lower quartile )
Q₃ is the middle value of the data to the right of the median
12 , 19 , 30
↑ middle
then Q₃ = 19
Q₁ is the middle value of the data to the left of the median
1 , 6 , 7
↑ middle
then Q₃ = 6
IQR = 19 - 6 = 13
Please help, answer by tomorrow!!!!
Answer the question in the picture:
Answers
Answer:
B
Step-by-step explanation:
its the second one
hope this helps :)