Answers
this is the answer to your equation hope it helps thanks
Answer:
D. [tex]\dfrac{27}{4}\\\\[/tex]
Step-by-step explanation:
[tex]\mathrm{With\;x=\dfrac{1}{8}\;and\;y = \dfrac{3}{16}\;we\;get}\\\\[/tex]
[tex]2\left(\dfrac{1}{8}+4\right)-\left(\dfrac{3}{16}\cdot 8\right)\\\\[/tex]
[tex]\mathrm{Calculate\:within\:parentheses}\:\left(\dfrac{1}{8}+4\right) = \dfrac{1}{8}+\dfrac{32}{8}} = \dfrac{33}{8}\\\\[/tex]
[tex]2\left(\dfrac{1}{8}+4\right) = 2\cdot \dfrac{33}{8} = \dfrac{33}{4}[/tex]
[tex]y \cdot 8 = \dfrac{3}{16} \cdot 8} = \dfrac{3}{2}\\\\[/tex]
So
[tex]2(x + 4) - y\cdot 8 = \dfrac{33}{4} - \dfrac{3}{2}\\\\\\= \dfrac{33-6}{4}\\\\= \dfrac{27}{4}\\\\[/tex]
Related Questions
note: this is a multi-part question. once an answer is submitted, you will be unable to return to this part. 7 women and 7 men are on the faculty in the mathematics department at a school. how many ways are there to select a committee of five members of the department if at least one woman must be on the committee?
Answers
No. of ways of selecting the 5 member committee by combination= 1981
What are the number of ways of selecting the 5 member committee ?
No. of women faculty in the mathematics department = 7
No. of men faculty in the mathematics department = 7
Total number of faculty members = 14
Condition - at least one woman must be on the committee
No. of ways of selection = C (14, 5) - C (7, 5)
We know that combination C(n , r) = [tex]\frac{n!}{(n-r)!r!}[/tex]
Consider the total combination C (14, 5),
[tex]C (14, 5)=\frac{14!}{9!5!} \\\\=\frac{14 *13* 12 *11 *10 *9!}{9!* 5!} \\\\=\frac{14 *13* 12 *11 *10}{120} \\\\= \frac{240240}{120} \\\\= 2002[/tex]
Consider the combination of men C (7, 5) ,
[tex]C (7, 5)=\frac{7!}{2!5!} \\\\=\frac{7*6*5!}{2!* 5!} \\\\=\frac{7*6}{2} \\\\= 7*3\\\\=21[/tex]
No. of ways of selection = C (14, 5) - C (7, 5)
= 2002 - 21
=1981
No. of ways of selecting the 5 member committee of the department with least one woman by combination= 1981
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Alysa buys 23 boxes of toothpicks. There are 255 toothpicks in each box. Which equation and solution show the number toothpicks, t, in all the boxes?
Answers
Answer:
255 ^t because the amount if toothpicks depend on the number of boxes she/he gets.
PLEASE ANSWER ALL THE QUESTIONS FOR 50 POINTS!!!!!
Answers
b. 72.1 - 45.6 = 26.5
c. 82.2 - 41.3 - 29.2 = 11.7
d. 17.1 - 11.7 - 0.8 = 4.6
e. 29.2 - 12.5 - 0.9 = 15.8
f. 21 - 14 = 7
g. 71 - 37 - 18 = 16
h. 50 - 19 - 8 = 23
i. 92 - 57 - 16 = 19
Answer:
a. 4.2 - 2.8 = 1.4
b. 72.1 - 45.6 = 26.5
c. 82.2 - 41.3 - 29.2 = 11.7
d. 17.1 - 11.7 - 0.8 = 4.6
e. 29.2 - 12.5 - 0.9 = 15.8
f. 21 - 14 = 7
g. 71 - 37 - 18 = 16
h. 50 - 19 - 8 = 23
i. 92 - 57 - 16 = 19
j. 44 - 18 - 9 = 17
Alexis has two job offers. Job #1 pays $12 an hour and will allow her to work 40 hours a week. Job #2 pays $8 an hour and also requires a 40-hour week. However, Job #2 also pays bonuses based on sales. The other salespersons told Alexis they average about $100 a week in bonuses. Which job will likely pay the most money per week?
Answers
Answer:
$8 an hour and also requires a 40-hour week
Step-by-step explanation:
The volume of a gas in a container varies inversely with the pressure on the gas. If a gas has a volumeof 230 cubic inches under a pressure of 8 pounds per square inch, what will be its volume if thepressure is increased to 18 pounds per square inch? (Round off your answer to the nearest cubic inch.)
Answers
Answer:
Explanation:
The volume of a gas in a container varies inversely with the pressure on the gas
Let V represent volume
Let P represent Pressure
Rewrting the statement above Mathematically:
[tex]\begin{gathered} V\text{ }\alpha\text{ }\frac{1}{P} \\ V\text{ = k}\frac{1}{P} \end{gathered}[/tex]when V = 230 in³
P = 8 lb/in³
Substitute the value of P and V in the equation in order to ger k:
In the community of Greendale, a local restaurant donates 15% of the total sales to student-based clubs on certain funding nights.
A- Write an equation to represent the relationship between the dinner sales (d) and the amount (a) the organization will receive.
B- What is the constant of proportionality? Interpret the constant proportionally for the problem situation.
C- How much will the organization receive if dinner sales are $3600?
NEED BY 2:35 CENTRAL TIME!!! OFFERING 35 POINTS! MIDDLE SCHOOL MATH!
Answers
The equation that represents the relationship between dinner sales and the amount the organisation would receive is a = 0.15d
The constant of proportionality is 0.15.
Th amount the organisation will receive if dinner sales is $3600 is $540
What is the relationship between dinner sales and the amount the organisation would receive?The equation that would be used to represent the relationship between dinner sales and the amount the organisation would receive is a linear equation.
A linear equation is an equation that has one variable that is raised to the power of one. A linear equation can either be either be a positive function or a negative equation. When a linear equation is drawn on a graph, the graph is a straight line.
The form of the linear equation would be:
total amount received by the organisation = percentage x amount the restaurant receives.
a = 0.15d
0.15 is the constant of proportionality. It is the value that relates the amount the organisation would receive and the amount the restaurant would receive.
a = 0.15 x 3600
a = $540
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Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth. tan 26° = ___
Answers
Answer:
0.49
Explanation:
Given the expression:
tan 26°
Evaluating using calculator
tan 26° = 0.4877
Hence the decimal rounded to the nearest hundredth is 0.49
Answer:
0.49 to nearest hundredth
Step-by-step explanation:
tan 26⁰ = 0.48773
x + m = p - n + yx Solve for x
Answers
Answer:
[tex]x=\frac{-m-n+p}{-y+1}[/tex]
Step-by-step explanation:
A number has 3, 4, and 8 as some of its factors. Which number could this be?
Answers
The number with 3,4 and 8 as its factors is 24
What is Lowest Common Multiples?The least common multiple(LCM) can be defined as the smallest multiple that two or more numbers have in common
The Lowest Common Multiples of 3 are:3, 6, 9, 12, 15, 18, 21, 24, 27 and 30
The Lowest Common Multiples of 4 are: 4, 8, 12, 26, 20, 24, 28, 32, ...
The Lowest Common Multiples of 8 are: 8, 16, 24, 32, 40, 48, ...
From the Lowest Common Multiples above, 24 is the only number that is common among the multiples of 3,4 and 8
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What is -2=-1+n/8? I’ve been stuck on it for a while
Answers
Answer: n= -8
Step-by-step explanation:
1. -2 = -1 + [tex]\frac{n}{8}[/tex]
2. -1 = [tex]\frac{n}{8}[/tex]
3. -8 = n
31. a statistics class has 26 students. the instructor would like to select a random sample of 3 students to work together on a group project. a. how many different samples are possible? b. if 13 of the 26 students in class are freshmen, what is the probability that all 3 of the selected students are freshmen?
Answers
a. 2600 ways different samples are possible.
b. 0.11 is the probability that all 3 of the selected students are freshmen.
total student = 26
3 students are randomly selected on group project
a. the possible different sample are
[tex]26 C_{3}[/tex] = [tex]\frac{26}{3 (26-3)}[/tex]
= [tex]\frac{26}{3 (23)}[/tex]
= 2600 ways.
b. 13 students are freshmen
Pr ( 3 selected students is freshman)
[tex]\frac{13C_{3} }{26C_{3} }[/tex] = [tex]\frac{286}{2600}[/tex] = 0.11
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
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one sheet of paper in a notebook is 8 1/2 inches by 11. a smaller notebook has a similar shape, and its pages are 5 1/2 inches long. what is the width of the paper in the smaller notebook?
Answers
The width of the paper in the smaller notebook is 4 1/4 inches.
When two shapes are similar, the ratio of their corresponding sides are equal, and their corresponding angles are equal.
For two notebooks in the shape of a rectangle, the ratio of their lengths must be equal to the ratio of their widths.
If one sheet of paper in a notebook is 8 1/2 inches by 11, and the pages of the smaller similar notebook are 5 1/2 inches long, then the width of the paper in the smaller notebook is
11 inches / 5 1/2 inches = 8 1/2 inches / width of smaller notebook
width of smaller notebook = 4 1/4 inches
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The set of ordered pairs shown below is a relation that is
a function of x.
{(-5, 1), (-4, 1), (−3, 1), (−2, 1)}
Which ordered pairs could be included in the set so that
the relation remains a function of x?
O (-3,0), (-1, 1)
O (-6, 1), (-5, 1)
O (-6, 1), (-1, 1)
O (-2, 2), (-1, 1)
Answers
The ordered pairs that could be included in the set so that the relation remains a function of x is (-6, 1), (-1, 1).
What is defined as the relation of function?A function is a relation that states that there must be only one output for each input (or) we can say that a function is a special type of relation (a set of ordered pairs) that follows a rule, i.e., every X-value should be related with only one y-value.The Cartesian product is a subset of it. Alternatively, a slew of points (ordered pairs). In other words, the relationship between the two sets is described as a collection of a ordered pair, where the ordered pair is formed by an object from each set.For the given relation that is a function of x.
{(-5, 1), (-4, 1), (−3, 1), (−2, 1)}
As, from the definition of the function, the domain of the function will not repeat in the set.
Thus, (-6, 1), (-1, 1) is the ordered pairs that could be included in the set so that the relation remains a function of x.
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Identify the reaction type for each generic chemical equation. a b → ab: ab → a b: hydrocarbon o2 → co2 h2o: ab cd → ad cb:
Answers
For all the given reactions there is a type name for it they are,
1. A + B → AB
2. AB → A + B
3. Hydrocarbon + O₂ → CO₂ + H₂O
4. AB + CD → AD + CB
All the above-mentioned chemical reactions are of the following types
1 → Synthesis
2 → Decomposition
3 → Combustion
4 → Replacement
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a binomial experiment with probability of success and trials is conducted. what is the probability that the experiment results in or more successes? do not round your intermediate computations, and round your answer to three decimal places. (if necessary, consult a list of formulas.)
Answers
The probability that the experiment results in 9 or more successes = 0.0676
A binomial distribution is given by,
P(X = x) = ⁿCₓ pˣ (1-p)ⁿ⁻ˣ ,
where p is the probability of success and x is the random variable for success in n trials.
A binomial experiment has only two outcomes- success or failure.
Here, the number of trials, n = 10
Probability of success = 0.63
The probability for 9 or more success = P( X = 9, 10)
= P (X = 9) + P(X = 10)
So P( X = 9) = ¹⁰C₉ (0.63)⁹ (1-0.63)¹⁰⁻⁹
= 10 x 0.0156 x 0.37
= 0.05772
and P(X = 10) = ¹⁰C₁₀ (0.63)¹⁰(1-0.63)¹⁰⁻¹⁰
= 1 x 0.009849 x 1
= 0.009849
Hence probability for 9 or more success = 0.05772 + 0.009849
= 0.067569
= 0.0676
The question is incomplete. Find the complete question below:
A binomial experiment with probability of success 0.63 and 10 trials is conducted. What is the probability that the experiment results in 9 or more successes? Do not round your intermediate computations, and round your answer to three decimal places. (If necessary, consult a list of formulas.)
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a number m is randomly selected from the set {11, 13, 15, 17, 19}, and a number n is randomly selected from {1999, 2000, 2001, . . . , 2018}. what is the probability that mn has a units digit of 1?
Answers
According to Euler's Theorem, if gcd(a,n) = 1, then a(n) 1. (mod n). The number of relatively prime integers in the range of 1, 2,..., n-1 is represented by the Euler totient function.
The probability that mn has a units digit of 1 = 2/5
What is Euler's theorem ?According to Euler's Theorem, if gcd(a,n) = 1, then a(n) 1. (mod n). The number of relatively prime integers in the range of 1, 2,..., n-1 is represented by the Euler totient function, or (n). This theorem is simply Fermat's little theorem when n is a prime.The remainder of a(m), when divided by a positive integer m that is relatively prime to a, is 1, according to Euler's Theorem. Because Fermat's Theorem is merely a special case of Euler's Theorem, this is the only way we can demonstrate Euler's Theorem. This is because (p)=p1 holds for a prime number p.By Euler's Theorem, we have that [tex]$a^{4} \equiv 1 \pmod {10}$[/tex] if [tex]$\gcd(a,10)=1$[/tex] Hence[tex]$m=11,13,17,19$,[/tex][tex]$n=2000,2004,2008,2012,2016$[/tex] work.
Also note that [tex]$11^{\text{any positive integer}}\equiv 1 \pmod {10}$[/tex] because [tex]$11^b=(10+1)^b=10^b+10^{b-1}1+...+10(1)+1$[/tex], and the latter[tex]$\pmod {10}$[/tex]is clearly [tex]$m=11$[/tex], [tex]$n=1999,2001,2002,2003,2005,...,2018$[/tex] work (not counting multiples of 4 as we would be double counting if we did).
We can also note that [tex]$19^{2a}\equiv 1 \pmod {10}$[/tex] because[tex]$19^{2a}=361^{a}$[/tex], and by the same logic as why [tex]$11^{\text{any positive integer}}\equiv 1 \pmod {10}$[/tex]we are done. Hence [tex]$n=2002, 2006, 2010, 2014, 2018$[/tex] and [tex]$m=19$[/tex] work (not counting any of the aforementioned cases as that would be double counting).
We cannot make any more observations that add more[tex]$m^n$[/tex] with unit digit [tex]$1$[/tex], hence the number of [tex]$m^n$[/tex] that have units digit one is [tex]$4\cdot 5+1\cdot 15+1\cdot 5=40$.[/tex] And the total number of combinations of an element of the set of all [tex]$m$[/tex]and an element of the set of all n is [tex]$5\cdot 20=100$[/tex]. Hence the desired probability is [tex]$\frac{40}{100}=\frac{2}{5}$[/tex].
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− 5/7 . (−3) can someone write this in the simplest form
Answers
If the algebraic problem is, - 5/7 TIMES -3….
Then, - 5/7 x (-3) = 15/7
When you simply 15/7, you should get 2 1/7.
Hope this helps!!
2x-4<6
what is the solution to this inequlity
Answers
Answer:
x < 5
Step-by-step explanation:
[tex]2x - 4 < 6[/tex]
[tex]2x < 10[/tex]
[tex]x < 5[/tex]
.........................................................
a 13-ft ladder rests against a vertical wall. if the bottom of the ladder slides away at 1 ft/s, at what rate is the top of the ladder sliding down the wall when the bottom of the ladder is 5 ft from the wall? g
Answers
The given situation can be solved using the differential equation and the top of the ladder slides downward at 0.417 ft/s.
Let:
x be the distance from the bottom of the ladder to the base of the wall
y be the distance from the top of the ladder to the bottom of the wall
When the ladder is still, apply the Pythagorean Theorem,
x² + y² = 13²
5² + y² = 13²
y² = 169 - 25 = 144
y = 12 ft
When the ladder slides, apply the differential equation:
x² + y² = 13²
2x . dx/dt + 2y . dy/dt = 0
Substitute x = 5, dx/dt = 1, y = 12
2 . 5 . 1 + 2 . 12 . dy/dt = 0
24 dy/dt = -10
dy/dt = -5/12 = - 0.417 ft/s
The minus sign indicates that the ladder is sliding downward.
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Point(2,8) , (4,7.5) rise over run so what's the answer
Answers
The slope of the line with the given coordinates (2,8) and (4,7.5) is -0.25.
What is the slope of the line with the given coordinates?Slope is simply expressed as change in y over the change in x.
Rise over run.
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
Given the data in the question;
Point 1( 2,8) )
x₁ = 2y₁ = 8Point 2( 4,7.5 )
x₂ = 4y₂ = 7.5To find the slope, plug the given x and y values into the slope formula and simplify.
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
Slope m = ( 7.5 - 8 )/( 4 - 2 )
Slope m = ( -0.5 )/( 2 )
Slope m = -0.5 / 2
Slope m = -0.25
Therefore, the slope of the line is -0.25.
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Students in a fitness class each completed a one-mile
Which statements are true about a histogram with one-
walk or run. The list shows the time it took each person
minute increments representing the data? Select three
to complete the mile. Each time is rounded to the
options.
nearest half-minute.
5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5
O A histogram will show that the mean time iS
approximately equal to the median time of 7.5
minutes.
O The histogram will have a shape that is left-skewed.
O The histogram will show that the mean time is greater iS
than the median time of 7.4 minutes.
O The shape of the histogram can be approximated with
a normal curve.
0 The histogram will show that most of the data is
centered between 6 minutes and 9 minutes.
Answers
In linear equation, The histogram will show that most of the data is centered between 6 minutes and 9 minutes.
What in mathematics is a linear equation?
An x-y linear relationship, or two variables in which the value of one of them (often y) relies on the value of the other one, is what is known as a linear equation in two variables (usually x).The dependent variable in this scenario is y since it depends on the independent variable, x.5.5+6+7+10+7.5+8+9.5+9+8.5+8+7+7.5+6+6.5+5.5=111.5
Since there are 15 values,
their mean is 111.5/15=7.43 which is very close to the mean.
A)A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes
D)The shape of the histogram can be approximated with a normal curve.
E)The histogram will show that most of the data is centered between 6 minutes and 9 minutes.
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Simplify one over x raised to the negative eighth power.
Answers
Answer:
1/x to the -8 power simplified would be x^8
Step-by-step explanation:
When there is a negative exponent you put the fraction under 1
[tex]\frac{1}{\frac{1}{x^{8} } }[/tex] and its the same as x^8
The simplified expression is [tex]x^8[/tex].
What is exponent?Exponent is the power of the variable or constant to which it is raised.
The expression 1 over x is denoted by 1/x.
The exponent of the obtained expression will be -8. So, the expression will be [tex](\frac{1}{x})^{-8}=\frac{1}{x^{-8}}[/tex].
The exponents of the denominator change from negative to positive when they move from denominator to numerator.
[tex]\frac{1}{x^{-8}}=x^8[/tex]
Thus, the simplified expression will be x raised to the power 8.
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Consider the line y = = 8 x-4. Find the equation of the line that is parallel to this line and passes through the point (7, -2). Find the equation of the line that is perpendicular to this line and passes through the point (7, -2).
Answers
Answer: y=8x-58
Step-by-step explanation:
1. find the slope
Since the new line is parallel to the first one that means the slope of 8x will remain the same.
2. plug it into the point slope formula y-y1=m(x-x1)
which would look like
y-(-2)=8(x-7)
3. solve for y
y-(-2)=8(x-7)
y+2=8x-56
y=8x-58
Parallel slope = 8
Perpendicular slope = -1/8
Use point slope. Use point and respective slope.
y-y1= m(x-x1)
y+2 = 8(x-7)
y+2 = 8x - 56
y= 8x - 58 (parallel equation)
y-y1= m(x-x1)
y+2 = -1/8(x-7)
y+2 = -1/8x +7/8
y= -1/8x - 11/8 (perpendicular equation)
Does that help?
do blood-building drugs help brain development in babies born prematurely? researchers randomly assigned 53 babies, born more than a month premature and weighing less than 3 pounds, to one of three groups. babies either received injections of erythropoietin (epo) three times a week, darbepoetin once a week for several weeks, or no treatment. results? babies who got the medicines scored much better by age 4 on measures of intelligence, language, and memory than the babies who received no treatment.how many different treatments were there and what principle of experimental design does that address?
Answers
There were three different treatments: erythropoietin, darbepoetin, and no treatment. This selection exemplifies the principle of randomization principle.
What is a treatment?In experiments, the word treatment refers to the use of a specific medicine, therapy, or condition that is controlled by the research to test the effect of the treatment on subjects. For example, if the researcher wants to find out the ideal amount of water for a plant to grow, the treatment would be the amount of water.
In the case presented, there are three treatments:
Erythropoietin (epo) three times a week.Darbepoetin once a week for several weeks.No treatment.What principle of experimental design does that address?Randomization is the principle applied because the subjects are selected randomly for each of the groups and this reduces bias.
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What is the value of x?
Answers
Answer:
15
Step-by-step explanation:
Divide $180 in the ratio of 2 : 3 : 4
Answers
Answer:
40,60,80
Step-by-step explanation:
let 2x 3x and 4x
9x=180
x=20
2x=40
3x=60
4x= 80
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In 3 hours, 5 people can paint a hall with the area of 750 ft 2. How long would it take for 2 people to paint the hall with the same rate of speed?
Answers
ANSWER:
STEP-BY-STEP EXPLANATION:
In this case, we can make a proportion, since we know the time when there are 5 people, we need to know the time when there are two people
[tex]\frac{5}{3}=\frac{2}{x}[/tex]solving for x:
[tex]undefined[/tex]Consider the density curve plotted below:1.63.24.86.480.050.10.150.20.25XPDF(X)Density CurveFind P(X<1.6) : Find P(X>4.8) :
Answers
Given:
There is a density curve given in the question
Required:
We need to find for
[tex]\begin{gathered} P(X<1.6) \\ P(X>4.8) \end{gathered}[/tex]Explanation:
Part a
We want to find P(X<1.6)
For this we just need to find the area below the curve until x=1.6, since we have a triangle we can do this:
[tex]P(X<1.6)=\frac{1}{2}*1.6*0.05=0.04[/tex]Part b
For this case we want to find this probability:
P(X>4.8)
and we can complement rule and we got
[tex]P(X>4.8)=1-P(X<4.8)=1-\frac{1}{2}*4.8*0.15=0.64[/tex]Final answer:
0.04
0.64
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Answers
Step-by-step explanation:
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A pottery studio has 11 pounds of clay. It takes 7/8 of clay to make a coffee mug find 11 divided by 7/8.Then interpret the question.
Answers
The number of coffee mugs that can be made is 12.
How to calculate the fraction?From the information, the pottery studio has 11 pounds of clay and it It takes 7/8 of clay to make a coffee mug.
The number of coffee mugs that can be made will be:
= Number of pounds of clay / Fraction used for each mug
= 11 / 7/8
= 11 × 8/7
= 88 / 7
= 12
There'll be 12 coffee mugs.
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