Triangles have a total of 180°. Use the triangle below to determine the value of X.

Triangles Have A Total Of 180. Use The Triangle Below To Determine The Value Of X.

Answers

Answer 1

Answer:

3x=105

x=35

Step-by-step explanation:

40+3x+x = 180 (Angle sum property)

40 +4x=180

4x = 180-40

          140

x = 140/4

       =35

 3x = 35 x 3

          105

x = 35

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Related Questions

What is the Scale Factor going from the larger figure to the smaller figure?

What is the Scale Factor going from the larger figure to the smaller figure?

Answers

Answer:

0.25

Step-by-step explanation:

scale factor=md/od

=0.5/2

0.25

the output column, s, was created from the student id 21444368 using the algorithm: if id digit n (left-to-right) is an even integer, place a 0 in s, row n (top-down) if id digit n (left-to-right) is an odd integer, place a 1 in s, row n (top-down) create a similar table, but with s reflecting the result of the algorithm applied to your student id (do this on scratch paper). on the quiz essay: record your student id, id

Answers

My student ID is 21444367.

The algorithm states that if the digit in the student ID (from left to right) is an even number, then a 0 is placed in the s column in the corresponding row (from top to bottom). If the digit in the student ID (from left to right) is an odd number, then a 1 is placed in the s column in the corresponding row (from top to bottom). Thus, the result of the algorithm applied to my student ID is s = 01101000.

This can be calculated by multiplying the even digits of the student ID by 0 and the odd digits of the student ID by 1 and then adding them together.

For my student ID, 21444367, the calculation would be:

0 * 2 + 1 * 1 + 0 * 4 + 1 * 4 + 0 * 4 + 1 * 3 + 0 * 6 + 1 * 7 = 01101000.

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Describe in words the transformations of the graph of the parent function f(x) = x2 that
would result in the graph of
g(x) = 3(x - 5)^2 + 2.

Describe in words the transformations of the graph of the parent function f(x) = x2 that
would result in the graph of
g(x) = 1/3(x + 6)^2- 4.

Describe in words the transformations of the graph of the parent function f(x) = x2 thatwould result

Answers

2. The transformations are given as follows:

Vertical stretch by a factor of 3.Translation right 5 units.Translation up 2 units.

3. The transformations are given as follows:

Vertical compression by a factor of 3.Translation left 6 units.Translation down 4 units.

How to define the transformations?

For item 2, the transformations in this problem are given as follows:

Vertical stretch by a factor of 3, due to the multiplication by 3.Translation right 5 units, as x -> x - 5.Translation up 2 units, as y -> y + 2.

For item 3, the transformations are given as follows:

Vertical compression by a factor of 3, due to the multiplication by 1/3.Translation left 6 units, as x -> x + 6.Translation down 4 units, as y -> y - 4.

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Find the slope of line y = -3x + 2

Answers

the slope of the line is -3

Answer:

-3

Step-by-step explanation:

Please help me as soon as possible!

Please help me as soon as possible!

Answers

Answer:

9.53 AU

Step-by-step explanation:

What is the area of the square that measures 3.1 m on each side

Answers

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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boatesville 65 3/5 long a drive from Stanton a bus traveling from Stanton to boatesville is 24 1/3 km from boatesville how far has the vu traveled

Answers

EXPLANATION:

-FIRST STEP:

We must convert the mixed fractions to improper

-SECOND STEP:

We must do exactly a subtraction of fractions to know how far the bus is.

-THIRD STEP:

To convert a mixed fraction to improper we must multiply the integer by the denominator and then the result is added to the numerator.

\(\begin{gathered} 1.\text{Mixed fraction to improper fraction;} \\ 65\frac{3}{5}=\frac{328}{5} \\ 24\frac{1}{3}\text{ }=\frac{73}{3} \\ \text{Now }we\text{ only have }improper\text{ fractions;} \\ 2\text{.We only }subtract\colon \\ \frac{328}{5}\text{ }-\frac{73}{3}=\frac{(328\times3)-(5\times73)}{(5\times3)}\text{ }=\frac{984-365}{15}\text{ }=\frac{619}{15} \\ the\text{ bus has traveled }a\text{ total of }\frac{619}{15} \end{gathered}\)

Now If we convert the result into a mixed fraction then the answer as a mixed fraction is:

\(\begin{gathered} \frac{619}{15}\text{ }=123\frac{4}{5} \\ \text{the answer as mixed fraction is: 123 }\frac{4}{5}the\text{ bus has traveled}. \end{gathered}\)

V=LWH for W I need help

Answers

Answer:

W=V/LH

Step-by-step explanation:

V=LWH

To get W alone we need to divide by LH.

V/LH=W

Flip

W=V/LH

Which number is less than it’s square?

9/10
12/11
15/16
13/13

Answers

The number which is lesser than its square is 12/11

What is a square number ?

When a number is multiplied by itself, the result is a square number. For instance, 25 is a square number as it is composed of 5 lots of 5, or 5 × 5. 

The opposite of squaring an integer is finding its square root. The result of multiplying a number by itself yields its square value, whereas the square root of a number may be found by looking for a number that, when squared, yields the original value. It follows that a a = b if "a" is the square root of "b." Every integer has two square roots, one of a positive value and one of a negative value, because the square of any number is always a positive number. For instance, the square roots of 4 are both 2 and -2. However, the square root of a number is typically only expressed as the positive value.

The numbers are

9/10 , 12/11 , 15/16 and 13/13

The squares are

81/100, 144,121, 225/256, 1

here

81/100 < 9/10 abd

225/256 < 15/16

144/121 > 12/11

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please help me i dont know what to do

please help me i dont know what to do

Answers

7

i dont know if this is right or wrong

Answer:

1977326743

Step-by-step explanation:

7x7x7x7x7x7x7x7  times 7x7x7 times 7x7x7x7

divided by 7x7x7x7x7x7x7x7x7  times 7x7x7x7x7

What is the range of f(x) = sin(x)?
the set of all real numbers -2pi≤y≤2pi
the set of all real numbers -1≤y≤1
the set of all real numbers 0≤y≤2pi
the set of all real numbers

Answers

Answer:

the set of all real numbers -1≤y≤1

Step-by-step explanation:

according to the definition of 'sin'-function, the max value of it is '+1' and the min is '-1'. Finally, the correct answer is B. the set of all real numbers -1≤y≤+1.

What can be concluded about the line represented in the table? Select 3 options.
X
-6
2
8
The slope is 2.
The slope is 2.
y
-7
-3
0
The y-intercept is -4.
The y-intercept is 8.
The points (-2,-5) and (8, 0) are also on the line.
Mark this and return
O
Save and Exit
Next
Submit

Answers

The value of the y -intercept is -4 and the slope of the equation is 1/2.

What is slope of the equation?

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

Any two different points on a line may be used to compute the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula.

The slope of the line is given by the formula:

m = y2 - y1 / x2 - x1

From the table the coordinates are: (-6, -7) and (2, -3).

m = -3 + 7 / 2 + 6

m = 4 / 8

m = 1/2

Now, using the slope intercept form we have:

y - y1 = m(x - x1)

y + 7 = 1/2 (x + 6)

2 (y + 7) = x + 6

2y + 14 = x + 6

2y = x - 8

The y- intercept is found when x = 0

Thus, 2y = -8

y = -4

Hence, the value of the y -intercept is -4 and the slope of the equation is 1/2.

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Find the angle of elevation from Point C to Point A. What is the Angle of elevation=?

Find the angle of elevation from Point C to Point A. What is the Angle of elevation=?

Answers

Answer:

The angle of elevation is 31°.

Step-by-step explanation:

Remember that the sum of the interior angles of any triangle has to be 180°. Let's call our unknown angle x. We'll have that:

\(\begin{gathered} x+90+59=180 \\ \rightarrow x=180-90-59 \\ \\ \Rightarrow x=31 \end{gathered}\)

This way, we can conclude that the angle of elevation is 31°.

A car is traveling at a steady speed. It travels 2 1/2 miles in 3 1/3 minutes. How far will in 49 minutes? In 1 hour ?

Answers

2 1/2 miles / 3 1/3 minutes = 3/4 mile per minute

A. 3/4 mile per minute x 49 minutes = 35 3/4 miles

B 3/4 miles per minute x 60 minutes (1 hour) = 45 miles

Answer:

2 1/2 miles = 5/2 miles

3 1/3 minutes = 10/3 minutes

Here,

in 10/3 minutes travels = 5/2 miles

in 1 minutes travels = (5/2)/(10/3) miles

in 49 minutes travels = (49*(5/2))/(10/3) miles = 36.75 miles

in 60 minutes (1 hour) travels =  (60*(5/2))/(10/3) miles = 45 miles

What is the answer pleaseee

What is the answer pleaseee

Answers

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

Derrick has 2 1/2 cups of sugar. He needs 1/8 of a cup of sugar for each recipe. How many recipes can be make

Answers

Answer:

20

Step-by-step explanation:

As the degrees of freedom increase, the Chi-square distribution

Select one:

a.
becomes more right-skewed.


b.
becomes more left-skewed.


c.
becomes less skewed.


d.
does not change shape.

Answers

As the degrees of freedom increase, the Chi-square distribution becomes less skewed.

Option C is the correct answer.

We have,

The Chi-square distribution is a probability distribution that is commonly used in statistics.

It is often used in hypothesis testing and in constructing confidence intervals for population variances.

The shape of the Chi-square distribution depends on the degrees of freedom (df). The degrees of freedom represent the number of independent pieces of information used to estimate a parameter or make an inference.

When the degrees of freedom are small, such as 1 or 2, the Chi-square distribution is highly skewed to the right.

This means that the distribution has a long tail on the right side and is concentrated toward the lower values.

However, as the degrees of freedom increase, the Chi-square distribution becomes less skewed.

The distribution becomes more symmetrical and approaches a bell shape, similar to the shape of a normal distribution. This means that the values are more evenly spread out and there is less concentration towards the lower values.

Therefore,

As the degrees of freedom increase, the Chi-square distribution becomes less skewed.

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A cherry blossom tree grows inches per year. A cherry blossom tree is 28 currently inches. How tall, in inches, will the cherry blossom tree be in years?

Answers

The height of the cherry blossom in 5 years will be 43 inches.

How to calculate the expression?

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

From the information, the cherry blossom tree grows 3 inches per year, the tree is 28 currently inches.

The height of the cherry blossom in 5 years will be:

= 28 + 3(5)

= 28 + 15.

= 43. inches.

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Complete question

A cherry blossom tree grows 3 inches per year. A cherry blossom tree is 28 currently inches. How tall, in inches, will the cherry blossom tree be in 5 years?

translate the expression "the product of a number and 5"

Answers

Answer: x ∗ 5 = y or y = x∗5

A survey found that the American family generates an average of 17.2 pounds of glass garbage each year. Assume the standard deviation of the distribution is 2.5 pounds. Find the probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds. Assume that the sample is taken from a large population and the correction factor can be ignored. Round your final
answer to four decimal places and intermediate z-value calculations to two decimal places

A survey found that the American family generates an average of 17.2 pounds of glass garbage each year.

Answers

The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is given as follows:

0.5874 = 58.74%.

How to obtain probabilities using the normal distribution?

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

The parameters for this problem are given as follows:

\(\mu = 17.2, \sigma = 2.5, n = 40, s = \frac{2.5}{\sqrt{40}} = 0.3953\)

The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is the p-value of Z when X = 18.1 subtracted by the p-value of Z when X = 17.1, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem:

\(Z = \frac{X - \mu}{s}\)

Z = (18.1 - 17.2)/0.3953

Z = 2.28

Z = 2.28 has a p-value of 0.9887.

Z = (17.1 - 17.2)/0.3953

Z = -0.25

Z = -0.25 has a p-value of 0.4013.

Hence:

0.9887 - 0.4013 = 0.5874 = 58.74%.

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For what value of y does 125=(1/25)^(y-1)?

Answers

Answer:

y = -1/2 is the answer to 125=(1/25)^(y-1)

Howdy! Thanks for stopping by my question! I would really appreciate the help! I've attached the question below. Thanks!
I'd appreciate if you made sure to double check your answers and provide everything the question is asking! INCLUDE ALL STEPS!

Howdy! Thanks for stopping by my question! I would really appreciate the help! I've attached the question

Answers

Answer:

  a) x = 1 ± (3/7)√7

  b) (-∞, -5) ∪ [-2, 5) ∪ [6, ∞)

Step-by-step explanation:

You want solutions to the relations ...

7 +1/x = 1/(x-2)(x² -4x -12)/(x² -25) ≥ 0

a) 7 + ...

We like to solve these in the form f(x) = 0. It helps avoid extraneous solutions.

  \(7+\dfrac{1}{x} -\dfrac{1}{x-2}=0\\\\\\\dfrac{7x+1}{x}-\dfrac{1}{x-2}=0\\\\\\\dfrac{(7x+1)(x-2)-x}{x(x-2)}=0\\\\\\ \dfrac{7x^2-14x-2}{x(x-2)}=0\)

The roots of the numerator quadratic are found by ...

  x² -2x -2/7 = 0 . . . . . divide by 7

  x² -2x +1 -9/7 = 0 . . . . add and subtract 1

  (x -1)² = 9/7 . . . . . . . . . . write as a square, add 9/7

  x -1 = ±√(9·7/49) = ±(3/7)√7 . . . . take the square root

  x = 1 ± (3/7)√7

b) (x² - ...

Rational inequalities are best solved by identifying the roots of numerator and denominator. These tell you where the function changes sign. The end behavior of the rational function tells you what the signs are changing from.

  \(\dfrac{x^2-4x-12}{x^2-25}\ge 0\\\\\\\dfrac{(x+2)(x-6)}{(x+5)(x-5)}\ge0\)

This has a horizontal asymptote at y=1 for |x|→∞. It has vertical asymptotes at x=±5.

The sign changes occur at x ∈ {-5, -2, 5, 6}. The rational expression is positive (approaching +1) for x < -5 and for x > 6. It is negative in the adjacent intervals, so positive again for -2 < x < 5.

The inequality is satisfied for ...

x < -5-2 ≤ x < 56 ≤ x

Find the arc length of the semicircle.
Either enter an exact answer in terms of pi or use 3.14, point, 14 for pi and enter your answer as a decimal.
units

Find the arc length of the semicircle.Either enter an exact answer in terms of pi or use 3.14, point,

Answers

we know the semi-circle has a radius of 5, and of course the central angle wil be π.

\(\textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\pi \\ r=5 \end{cases}\implies s=5\pi \implies \stackrel{\pi =3.14}{s=15.7}\)

What is the solution to the equation x/3 +5=8​

Answers

Answer:

x=9

Step-by-step explanation:

x/3+5=8

x/3=8-5

x/3=3

(x/3)*3=3*3

x=9

double check

9/3+5=8

3+5=8

8=8

Answer:

x=9

Step-by-step explanation:

\(\frac{x}{3}+5=8\\\)

\(\frac{x}{3}=3\)  subtract 3 from each side

\(x=9\) multiply each side by 3

thats it!! :D

Cerca ya de las elecciones, un servicio de noticias por cable conduce una encuesta de opinión de 1, 000 probables votantes. El resultado muestra que el contendiente republicano tiene una ventaja de 52 a 48 por ciento.
a. Construya el intervalo de confianza de 95% de la proporción que favorece al candidato republicano.
b. Calcule la probabilidad de que el candidato demócrata sea el líder real.
c. Repita el análisis anterior basándose en una muestra de 3,000 probables votantes.

Answers

De la información proporcionada, tenemos que:

a) El intervalo de confianza de 95% de la proporción que favorece al candidato republicano es (0.489, 0.551).

b) Probabilidad de 0.1029 = 10.29% que el candidato demócrata sea el líder real.

c) Probabilidad de 0.0143 = 1.43% que el candidato demócrata sea el líder real.

Item a:

En un amostra de n personas, con probabilidad de éxito \(\pi\), e un nível de confianza de \(\alpha\), hay el seguiente intervalo de confianza de la proporción.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

En que z es el valor crítico.

En este problema:

1,000 votantes, por eso \(n = 1000\)52% de la muestra prefiere el candidato republicano, por eso \(\pi = 0.48\)

95% confidence level

\(\alpha = 0.95\), por eso z es el valor de Z con un p-value \(\frac{1+0.95}{2} = 0.975\), asi que \(z = 1.96\).  

El límite inferior de este intervalo es:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.489\)

El límite superior de este intervalo es:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.551\)

El intervalo de confianza de 95% de la proporción que favorece al candidato republicano es (0.489, 0.551).

Item b:

En una distribución normal con média \(\mu\) y deviación estandár \(\sigma\), el z-score de un medida X es dado por:

\(Z = \frac{X - \mu}{\sigma}\)

El z-score mide cuántas desviaciones estándar tiene la medida de la media. Después de encontrar el puntaje z, miramos la tabla z y encontramos el p-value asociado con este puntaje z, que es el percentil de X. Según el teorema del límite central, para una proporción p en una amuestra de tamaño n, la média es \(\mu = p\), encuanto la deviación estandár es \(\sigma = \sqrt{\frac{p(1-p)}{n}}\)

En este problema:

Amuestra de 1,000, por eso \(n = 1000\).48% de la amuestra prefiere el candidato democrata, por eso \(p = 0.48\)

La média e la deviación estandár son:

\(\mu = p = 0.48\)

\(\sigma = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.48(0.52)}{1000}} = 0.0158\)

La probabilidad es 1 restada de el p-value de z quando X = 0.5.

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{0.5 - 0.48}{0.0158}\)

\(Z = 1.265\)

\(Z = 1.265\) tiene un p-value de 0.8971.

1 - 0.8971 = 0.1029

Probabilidad de 0.1029 = 10.29% que el candidato demócrata sea el líder real.

Item c:

Ahora, hay \(n = 3000\), por eso:

\(\sigma = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.48(0.52)}{3000}} = 0.0091\)

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{0.5 - 0.48}{0.0091}\)

\(Z = 2.19\)

\(Z = 2.19\) tiene un p-value de 0.9857.

1 - 0.9857 = 0.0143

Probabilidad de 0.0143 = 1.43% que el candidato demócrata sea el líder real.

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A mine shaft which slopes at an angle of 19° to the horizontal is driven into a hillside for
400 m. How much lower, to the nearest metre, is the end of the shaft than the beginning?

Answers

The end of shaft is 137.731m lower at the beginning.

What is angle?

An angle is formed when two straight lines or rays meet at a single terminal.

The place where two points converge is known as an angle's vertex.

Angles' Components:

Vertex: The intersection of two lines or sides at an angle is called a vertex.

Arms: The angle's two sides linked at a single end.

Initial Side: A line that is straight from which an angle is made.

from the given figure:

tan(19) =  BC/AB

BC = 400 × tan(19)

BC = 137.731m

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A mine shaft which slopes at an angle of 19 to the horizontal is driven into a hillside for400 m. How

Plz help me with my school work.

Plz help me with my school work.

Answers

Answer:

  ∠HGB = 20°

  ∠ECD = 34°

  ∠GBH = 36°

  ∠FGH = 37°

Step-by-step explanation:

There are several useful rules regarding angles:

right angles are 90°the sum of angles in a triangle is 180°angles of a linear pair are supplementary (total 180°)vertical angles are congruentan exterior angle is equal to the sum of the remote interior angles

This last observation is a consequence of the 2nd and 3rd observations.

__

angle ECD

Using the last observation, ∠ECD = 124° -90° = 34°.

angle HGB

Again, using the last observation, ∠HGB = 110° -90° = 20°.

angle GBH

There are at least a couple of ways to find this one. We assume that lines FB and EC are parallel, so angles HBC and ECD are corresponding, hence congruent. Angle GBC is the supplement of of 110°, so is 70°. Then ...

  ∠GBH = 70° -34° = 36°

angle FGH

Again, this angle can be found multiple ways. Here, we'll use the sum of angles in triangle FGB.

  ∠FGB +∠GBF +∠BFG = 180°

  (∠FGH +∠HGB) +∠GBF +∠BFG = 180°

  ∠FGH +20° +36° +87° = 180°

  ∠FGH = 180° -143° = 37°

__

Least to greatest, the angles are ...

  ∠HGB = 20°

  ∠ECD = 34°

  ∠GBH = 36°

  ∠FGH = 37°

saleswoman sells a​ dried-fruit mixture for ​$ 5.90 per pound and nuts for ​$ 14. 75per pound. She wants to blend the two to get a ​-15lb mixture that she will sell for ​$ 9.44per pound. How much of each should she​ use? Solve using matrices.

To get a ​15-lb ​mixture, she should use enter your response here​( = -lb )of​ dried-fruit mixture and enter your response here​( = lb )of nuts.

Answers

A 15-lb mixture, she should use 1.256 pounds of dried-fruit mixture and 13.744 pounds of nuts.

Based on the given information, we can set up the following system of equations:
Equation 1: x + y = 15 (since the total weight of the mixture is 15 pounds)
Equation 2: (5.90 * x) + (14.75 * y) = 9.44 * 15 (since the total cost of the mixture is the cost per pound multiplied by the weight of each component)
Now, let's convert this system of equations into matrix form:
| 1  1 |   | x |   | 15 |
| 5.90  14.75 |   | y | = | 9.44 * 15 |
To solve for x and y, we can use matrix algebra. We can multiply the inverse of the coefficient matrix by the right-hand side matrix to get the solution matrix:
| x |   | 1  1 |^-1   | 15 |
| y | = | 5.90  14.75 |      | 9.44 * 15 |
Using matrix calculations, we find that the inverse of the coefficient matrix is:
| 0.0877  -0.0576 |
| -0.0059   0.0678 |
Now, multiplying the inverse matrix by the right-hand side matrix gives us:
| x |   | 0.0877  -0.0576 |   | 15 |
| y | = | -0.0059   0.0678 | * | 9.44 * 15 |
Simplifying the multiplication gives us:
x = 1.256
y = 13.744
Therefore, the saleswoman should use 1.256 pounds of dried-fruit mixture and 13.744 pounds of nuts to get a 15-pound mixture.

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The managers at Smith's BBQ have been asked to cut back Total Wages by 2.5% in the next two
weeks to account for slow sales. Using the Current Week as the benchmark, what would be the
estimate for the reduced Total Wages for the next two weeks combined?

Answers

The required estimate for the reduced Total Wages for the next two weeks combined would be approximately 1.95 times the amount of money being paid to all employees over the course of a week in the Current Week.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
To estimate the reduced Total Wages for the next two weeks combined, we can use the following formula:

Reduced Total Wages = Current Total Wages x (1 - Wage Reduction Percentage)

Reduced Total Wages = C × (1 - 0.025) × 2

Simplifying this expression, we get:

Reduced Total Wages = C × 0.975 × 2

Reduced Total Wages = 1.95C

Therefore, the estimate for the reduced Total Wages for the next two weeks combined would be approximately 1.95 times the amount of money being paid to all employees over the course of a week in the Current Week.

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Is 3 4/9 greater than 3 4/5?

Answers

No, three and four fifths is greater than 3 and four ninths.
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