The required, it needs 480 mL of the 70% solution to obtain the desired 50% solution.
Let x be the amount of the 70% solution needed.
The amount of alcohol in the 240 mL of 10% solution is:
0.1(240) = 24 mL
Let's assume that we need to add x mL of the 70% solution to get the desired 50% solution. The amount of alcohol in x mL of the 70% solution is:
0.7x
The total amount of alcohol in the final mixture is:
0.5(240 + x)
Since we want the amount of alcohol in the final mixture to be 24 mL, we can write:
0.7x + 24 = 0.5(240 + x)
0.7x + 24 = 120 + 0.5x
0.2x = 96
x = 480
Therefore, you will need 480 mL of the 70% solution to obtain the desired 50% solution.
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3. Write 13 tens as hundreds
and tens.
Answer:
1 hundred and 3 tens
Step-by-step explanation:
I assume you mean 130 as hundreds and tens and the answer to that would be 1 hundred and 3 tens.
Answer:
1 hundred and 3 tens
Step-by-step explanation:
13 tens = 13*10 = 130
130 is 100 + 30, which is 1 hundred and 3 tens
Hope this helps :)
Have a great day!
Solve the equation. Write the solution set with the exact values given in terms of common or natural logarithms. Also give approximate solutions to at least 4 decimal places.
539=13^r+9
The solution for r is:
r = ln(539)/ln(13) - 9
And an estimation is:
r = -6.5478
How to solve the exponential equation?Remember the rule for logarithms of powers:
ln(x^n) = n*ln(x)
Now let's look at our equation, here we have:
539 = 13^(r + 9)
We want to solve this equation for r, to do so, we can apply the natural logarithm in both sides:
ln(539) = ln( 13^(r + 9))
Using the rule we can rewrite this as:
ln(539)= (r + 9)*ln(13)
Now just solve the equation for r:
r = ln(539)/ln(13) - 9
And an approximate solution is:
r = -6.5478
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solve: 2/x+3 - 1/x = -4/x^2+3x
You must show your work and enter your answer below.
The solution of the linear equation is determined as x = -4.
What is the solution of the linear equation?
The solution of the linear equation is calculated by applying the following method as follows;
The given linear equation;
2/x+3 - 1/x = -4/x² +3x
We can start by simplifying the equation and getting rid of the fractions.
Multiplying every term by x will help us achieve that:
2 + 3x - 1 = -4/x + 3x²
Simplifying further:
2 + 3x - 1 = (-4 + 3x²) / x
Combining like terms:
3x + 1 = (-4 + 3x²) / x
(x)(3x + 1) = -4 + 3x²
3x² + x = -4 + 3x²
We can subtract 3x² from both sides:
x = -4
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Solve 3b – 8 + 6 = 2(b + 6)
Answer:
b=14
Step-by-step explanation:
3b-2=2b+12
b-2=12
b=14
Solve 8 = 2x +4.(1 point)
01) x = -4
O2) x = -1
3) x = 0
4) x = 7
Answer:
x=2, should be the correct answer but that isnt a choice
Step-by-step explanation:
8=2x+4
4=2x
2=x
x=2
College-Educated Workers. Based on data from the U.S. Census Bureau, a Pew Research study showed that the percentage of employed individuals ages 25-29 who are college educated is at an all-time high. The study showed that the percentage of employed individuals aged 25-29 with at least a bachelor's degree in 2016 was 40%. In the year 2000, this percentage was 32%, in 1985 it was 25%, and in 1964 it was only 16% (Pew Research website).
a. What is the population being studied in each of the four years in which Pew has data?
b. What question was posed to each respondent?
c. Do responses to the question provide categorical or quantitative data?
The population being studied in each of the four years is:
college educated individuals aged 25-29The question that was posed to each respondent is:
Have your earned a bachelor's degree (or higher)?What is meant by Population?The term "population" refers to all citizens who are present in a nation or who are temporarily absent from it, as well as all aliens who have made a nation their permanent home. The number of residents in a certain area is depicted by this indicator. The annual variations in population brought on by births, deaths, and net migration are measured as growth rates.
(a) Data and Calculations:
Percentage of employed individuals ages 25-29 with at least a bachelor's degree
in 2016 = 40%.
In the year 2000 = 32%,
in 1985 = 25%,
in 1964 = 16%.+
The percentage has continued to increase steadily.
(b) Numbers are not indicated by categorical data. They have a qualitative character. Instead, categories are used to organize the data. Data about ethnicity, sex, age group, and educational attainment are some examples of categorical data.
U.S. Census Bureau
a. The population being studied in each of the four years is:
O college educated individuals aged 25-29
b. The question that was posed to each respondent is:
O Have your earned a bachelor's degree (or higher)?
c. O categorical
The complete question is,
Based on data from the U.S. Census Bureau, a Pew Research study showed that the percentage of employed individuals ages 25-29 who are college educated is at an all-time high. The study showed that the percentage of employed individuals aged 25-29 with at least a bachelor's degree in 2016 was 40%. In the year 2000, this percentage was 32%, in 1985 it was 25%, and in 1964 it was only 16%.+
(a) What is the population being studied in each of the four years?
O college educated individuals
O college educated individuals aged 25-29
O individuals aged 25-29
O employed individuals aged 25-29
O employed individuals
(b) What question was posed to each respondent?
O Have your earned a bachelor's degree (or higher)?
O Are you enrolled in college?
O Are you between the ages of 25 and 29?
O In what year did you receive your bachelor's degree?
O Are you employed?
(c) Do responses to the question provide categorical or quantitative data?
O categorical
O quantitative
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Number of Computers
72
60
48
36
24
12
V
1 2 3 4 5 6 7 8 9 10 11 12
Number of Days
The graph shows a proportional relationship between
the number of computers produced at a factory per day.
In three days, 36 computers are produced; 48
computers are produced in 4 days; and 60 computers
are produced in 5 days.
Find the unit rate of computers per day using the graph.
Unit rate:
computers per day
The unit rate of computers per day using the graph is that 12 computers are made per day.
What is a unit rate?The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.
How to find the unit rate of computers per dayTo obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x
So, it is given by:
\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)
\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)
\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)
\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)
\(\bold{Slope = 12}\)
Unit rate = 12 computers per day.
The attachment of the graph is given below.
Therefore, the unit rate of computers per day is 12.
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A recipe calls for 1 1/2 teaspoons of cinnamon to make 2 dozen oatmeal cookies.
How many teaspoons of cinnamon are needed to make 60 oatmeal cookies?
please help
3 3/4
I need to type more, this is just filler. Ignore it.
The ratio of the lengths of the sides of â–³ABC is 3:4:6. The perimeter of the triangle whose vertices are the midpoints of the sides of â–³ABC is 13 cm. What are the lengths of the sides of â–³ABC?
The length of the sides of triangle ABC are: 6, 8, and 12.
One of the conditions that two triangles are similar is their Three pairs of corresponding sides are proportional.
In the given problem, the ratio of the sides of triangle ABC is 3 : 4 : 6
Another triangle, let's say triangle DEF, is made with its vertices at midpoints of the sides of triangle ABC.
Hence, all three pairs of corresponding sides have the same proportion.
AB/DE = BC/EF = AC/DF = 1/2
Due to similarity, the ratio of the sides of triangle DEF is also 3 : 4 : 6.
ratio f sides : perimeter = 3 : 4 : 6 : 13
Since its perimeter is 13, it means that the length of sides of triangle DEF are: 3, 4, and 6
Length of the sides of triangle ABC = 2 x length of the sides of Δ DEF
Length of the sides of triangle ABC are: 6, 8, and 12.
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Write the given percent of increase or decrease as a growth factor.
7% Increase
a.1.7
c. 7.1
c.1.007
d.1.07
Answer: D
Step-by-step explanation:
Please help me with this proof.
Answer:
See below
Step-by-step explanation:
For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.
The school principals has a Binet of $9.00 for making repairs to one of the play grounds she plans to cove the surface of the playground with soft rubber tiles.With money left over she will purchase new equipment.
The t
Effective:
Thirty children suffered broken bones last year because of outdated playground equipment.
Studies show that safe playground equipment helps promote children's development.
Tax money spent on our children's safety is tax money well spent.
New playground equipment can be used to enhance our children's education.
Ineffective:
Other schools in the area have new playground equipment.
The nurse's office is conveniently located next to the playground.
Here, we have,
The education is a discipline that is concerned with methods of teaching and learning in schools or school-like environments as opposed to various non-formal and informal means of socialization (e.g., rural development projects and education through parent-child relationships).
Education can be thought of as the transmission of the values and accumulated knowledge of a society. In this sense, it is equivalent to what social scientists term socialization or enculturation.
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complete question:
In a speech about the importance of installing new and safer school playground equipment, which reasons most effectively express the speaker's viewpoint?
label as
Effective or Ineffective
Thirty children suffered broken bones last year because of outdated playground equipment.
Studies show that safe playground equipment helps promote children's development.
New playground equipment can be used to enhance our children's education.
Other schools in the area have new playground equipment.
Tax money spent on our children's safety is tax money well spent.
The nurse's office is conveniently located next to the playground.
evaluate a+b for a= -9 and b=6
Answer:
-9+6=-3
Step-by-step explanation:
9. Joseph is 2 meters 30 centimeters tall. How tall is Joseph in millimeters?
O23,000 millimeters
O2,300 millimeters
O230 millimeters
O23 millimeters
Answer:
Step-by-step explanation:
372 Millimeters
Answer:
2,300 millimeters
Step-by-step explanation:
when you convert 30 centimeters it’s 300 millimeters. When you convert 2 meters it’s 2,000 millimeters so…. That is the correct answer plus I just did the quiz and got it correct with that answer.
En una ciudad de 5000 habitantes, la tasa diaria
de infección con un virus de la gripe varia directamente con el producto de
personas infectadas y el número de personas no infectadas. Cuando se han
infectado 1000 personas, la gripe se esparce a razón de 40 nuevos casos por día.
¿Para qué número de personas infectadas, la tasa diaria de infección es la
máxima?
According to the information, the maximum infection rate is: k * 2500 * (5000 - 2500) = 6250k = 40
How to calculate for what number of infected people, the daily infection rate is the maximum?To address this problem, we can use the law of the infection rate, which states that the infection rate is directly proportional to the product of the number of people infected and the number of people not infected. Therefore, we can write:
infection rate = k * (infected people) * (uninfected people)where "k" is a constant of proportionality. Since we want to find the number of people infected that produces the maximum infection rate, we can consider the infection rate as a function of the variable "x" representing the number of people infected. Therefore, we can write:
infection rate = k * x * (5000 - x)To find the value of "x" that maximizes the infection rate, we can derive this function and set the derivative equal to zero:
d(infection rate)/dx = k * (5000 - 2x) = 0This implies that 5000 - 2x = 0, and therefore:
x = 2500Therefore, the number of infected people that produces the maximum daily rate of infection is 2,500.
However, we must verify that this result is consistent with the information given in the problem. We know that when there are 1,000 people infected, the flu spreads at the rate of 40 new cases per day. Therefore, if we add 1,500 more infected people (for a total of 2,500), the infection rate would be:
infection rate = k * 2500 * (5000 - 2500) = 6250kIf the infection rate is 40 new cases per day, we have:
40 = 6250kwhich implies that:
k = 0.0064Therefore, the maximum infection rate is:
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Two buildings are 18 m part. The shorter building is 12 m high while the taller one is 19 m high. Find the distance, x m between the top of the buildings.
The distance between the tops of the buildings is 28.5 meters.
To find the distance between the top of the buildings, we can use the concept of similar triangles.
Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).
We can set up a proportion based on the similar triangles formed by the buildings:
a/c = b/x
Substituting the known values:
12/18 = 19/x
To find "x," we can cross-multiply and solve for "x":
12x = 18 * 19
12x = 342
x = 342/12
x = 28.5 m
Therefore, the distance between the tops of the buildings is 28.5 meters.
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Can someone help me please on #6 and #8 please.
Answer: yo if you look up math equation calculator and type that equation in it would solve the problem step by stem.
Step-by-step explanation: i hope this helps :D
Answer:
Number 6 is 3, Iḿ pretty sure if not sorry I tried my best
Step-by-step explanation:
A $30 shirt is marked, "Get 1/3 off. What is the sale price of the shirt?
Answer:
$20 after the applied coupon
Step-by-step explanation:
The required sale price of the shirt after getting 1/3 off is $20.
What are percentages?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
A $30 shirt is marked, "Get 1/3 off.
The sale price of the shirt,
= 30 - 1 / 3×30
= 30 - 10
= $ 20
Thus, the required sale price of the shirt after getting 1/3 off is $20.
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What is the volume of the composite figure?
A complex figure comprised of 2 rectangular prisms. Prism A has a length of 7 inches, a width of 3 inches, and a height of 2 inches. Prism B has a length of 3 inches, width of 3 inches, and height of 7 inches.
69 in.3
105 in.3
276 in.3
4,536 in.3
Therefore, the volume of the composite figure is 105 cubic inches.
What is volume?In physics and mathematics, volume refers to the amount of space occupied by a three-dimensional object or region. It is a measure of the size of an object in three dimensions, and is typically expressed in cubic units, such as cubic meters, cubic feet, or cubic centimeters. The volume of an object can be calculated using a formula that is specific to the shape of the object. For example, the volume of a cube can be calculated by multiplying the length, width, and height of the cube, while the volume of a sphere can be calculated using the formula 4/3 x π x r^3, where r is the radius of the sphere. The concept of volume is important in many fields, including architecture, engineering, and science, as it is used to calculate the amount of space that an object or substance occupies, and to determine quantities such as mass and density.
Here,
To find the volume of the composite figure, we need to find the volume of each rectangular prism and add them together.
The volume of a rectangular prism is given by the formula V = l*w*h, where l is the length, w is the width, and h is the height.
For Prism A, V = (7)(3)(2) = 42 cubic inches.
For Prism B, V = (3)(3)(7) = 63 cubic inches.
The total volume of the composite figure is the sum of the volumes of the two prisms:
V_total = V_A + V_B
= 42 + 63
= 105 cubic inches
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After playing a board game, you ended up with 80 points and your friend had a final score of -20
points. By how many points did you win ?
(HELPPP)
Answer:
100 points
Step-by-step explanation:
80 - (-20) is also
80 + 20 = 100
Rewrite each equation without absolute value for the given conditions.
y = |x-3| + |x +2|-|x - 5| if 3
The equation obtained without the absolute value for given function
y = |x-3| + |x +2|-|x - 5| is y = 2.
Explain about the absolute value?Without taking into account direction, absolute value describes how far a number is from zero on the number line. A number's absolute value can never be negative. Have a look at these samples.
5 is the sum of its absolute values. There are 5 units between 5 and 0.5 is -5's absolute value. There are 5 units between -5 and 0.2 + (-7) equals 5 in absolute terms. The resultant point on a number line is 5 units away from zero when depicting the addition.The given equation:
y = |x-3| + |x +2|-|x - 5|
For x = 3
y = |3-3| + |3+2|-|3 - 5|
y = 0 + |5| - |-3|
Without absolute values:
y = 5 - 3
y = 2
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6+x3=1
What is the solution to the equation?
x=−21
x=−5
x = 21
x=−15
Answer:
\(6 + \frac{x}{3} = 1 \\ \frac{x}{3} = 1 - 6 \\ \frac{x}{3} = - 5 \\ x = 3 \times ( - 5) \\ \boxed{x = - 15}✓\)
★ 6+x/3=1
What is the solution to the equation?
x=−21x=−5x = 21x=−15x= -15 is the right answer.Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
Answer:
x = 1 , x = 13
Step-by-step explanation:
(x - 7)² = 36 ( take square root of both sides )
x - 7 = ± \(\sqrt{36}\) = ± 6 ( add 7 to both sides )
x = 7 ± 6
then
x = 7 - 6 = 1
x = 7 + 6 = 13
Which of these events is not mutually exclusive?
A) the chance that you will get a heads or tails when you flip a coin once.
B) the chance that you will only study for the test alone or with a friend.
C) the chance that you will meet your friends for pizza or at a chinese restaurant for dinner today at 6.
D) the chance that you will answer the ringing phone or take a walk.
The chance that you will get a heads or tails when you flip a coin once (option A) is not mutually exclusive.
Mutually exclusive events are events that cannot occur at the same time, or that do not have any overlap. In the case of flipping a coin, the possibility of getting a head and the possibility of getting tails are independent of each other, and both can occur simultaneously. Therefore, the chance that you will get heads or tails when you flip a coin once is not mutually exclusive.
On the other hand, the other events listed (B, C, and D) are mutually exclusive. The chance that you will only study for the test alone or with a friend cannot occur simultaneously, as you can either study alone or with a friend, but not both. Similarly, the chance that you will meet your friends for pizza or at a Chinese restaurant for dinner today at 6 cannot occur at the same time, as you can either go to the pizza place or the Chinese restaurant, but not both. And the chance that you will answer the ringing phone or take a walk cannot occur simultaneously, as you can either answer the phone or take a walk, but not both.
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The chance that you will get a heads or tails when you flip a coin once (option A) is not mutually exclusive.
this question is related to probability.
mutually exclusive
Mutually exclusive events are those events that do not occur at the same time.
For example, when a coin is tossed then the result will be either head or tail, but we cannot get both the results. Such events are also called disjoint events since they do not happen simultaneously.
probability
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
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Simplify each expression. Write your answer in exponential notation.
13. [(-0.5) (-0.5)²12²
14. (3.3³)3
تبر4 + 2( 20) .15
16. (a¹. a)³
(a^)³
Help I really need the extra credit
For simplification the exponent rules must be known to us .
The exponent rules are mentioned below:
a^0 = 1a^1 = aa^m × a^n = a^m+na^m / a^n = a^m−na^−m = 1/a^m(a^m)^n = a^mn(ab)m = a^mb^m(a/b)m = a^m/b^m1)
Now,
Simplifying,
[(-0.5)² *(-0.5)²]²
Apply property 3,
[(-0.5)^4]^2
(-0.5)^8
2)
(3.3³)3
Simplify by property 3
= 3 ^12
3)
(y² × y)²÷4y²
Simplify by rule 3 and 4,
= y^6 ÷ 4 y²
= y^4/4
4)
(a^3 × a^6)^3/(a^4)^5
Simplify by rule 3 and 4,
=a^7
Hence with the use of exponent rules the expressions can be simplified.
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Suppose Winston's annual salary as an accountant is $60,000 and his financial assets generate $4,000 per year in interest. One day, after deciding to be his own boss, he quits his job and uses his financial assets to establish a consulting business, which he runs out of his home. He outlays $8,000 in cash to cover all the costs involved with running the business and earns revenues of $150,000. What is Winston's economic profit?
$138,000
$150,000
$142,000
$78,000
Winston's economic profit based on the forgone salary of $60,000, and the revenue of $150,000 is $78,000. The correct option is therefore;
$78,000
What is an economic profit?An economic profit is a profit that accounts for both the explicit and implicit costs of a business. The economic profit is obtained from the difference between the total revenue and the costs including the opportunity costs.
The annual salary of Winston as an accountant = $60,000
The amount Winston's financial asset generates = $4,000 per year
The cost of running the business = $8,000
The amount Winston earns as revenue = $150,000
Therefore;
Winston's opportunity cost which is the forgone alternative, is the amount he earns as an accountant = $60,000
The interest of $4,000, earned from the financial asset = The cost of using the financial asset for the business
The cost of running the business = $8,000
The total cost = Opportunity cost + Cost of making use of the financial asset + The business running cost
The total cost = $60,000 + $4,000 + $8,000 = $72,000
The economic profit = The total revenue - The total cost
Therefore;
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If two triangle angles are 37 and 69 what is the third angle?
Answer:
37+69=106
180/106= 74
Step-by-step explanation:
its 74
Answer: 74°
Step-by-step explanation:
the two angles are first added
the sum of a triangle is 180° so the third angle equal 180- sum of angles.
37+69=106
180-106= 74°
x/3 = -2 what does x equal
Answer:
x = -6
Step-by-step explanation:
Man is ordering new tile for her kitchen floor the area of the floor is 115.4 ft.² and she wants to order between 15% and 20% extra of the material
The order for the extra materials that are ordered by the man will be between 17.31 ft² and 23.08 ft².
How to calculate the value?From the information, the man is ordering new tile for her kitchen floor the area of the floor is 115.4 ft.² and wants to order between 15% and 20% extra of the material.
It should be noted that 15% of the material will be:
= 15% × 115.4
= 17.31 ft²
It should be noted that 20% of the material will be:
= 20% × 115.4
= 23.08 ft²
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HELPPPPPPPP will give the brainliest pls help
A salesperson at a jewelry store earns 4% commission each week. Last week, heidi sold $700 worth of jewelry. How much did she make in commission? How much did the jewelry store make from her sales?
Answer:
8
Step-by-step explanation:
i guessed