a bag of apples and oranges contains twice as many apples as oranges. if there are 15 total pieces of fruit in the bag how many apples are in the bag

Answers

Answer 1

Considering the definition of an equation and the way to solve it, there are 10 apples in the bag.

Definition of equation

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true.

To solve an equation, keep in mind:

When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.

Amount of apples in the bag

Being "or" the number of oranges in the bag, and knowing that:

A bag of apples and oranges contains twice as many apples as oranges.There are 15 total pieces of fruit in the bag.

the equation in this case is:

or + apples= 15

or + 2or= 15

Solving:

3or= 15

or= 15 ÷ 3

or= 5

As a bag of apples and oranges contains twice as many apples as oranges, then 2or= 2×5= 10 apples

Finally, there are 10 apples in the bag.

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Related Questions

Johnny created a chart using stick people to depict the frequency of the data. What type of chart did Johnny create

Answers

Johnny created a Tally marks chart.

A frequency distribution table displays the frequency of each data set in an organized way. It helps us to find patterns in the data and also enables us to analyze the data using measures of central tendency and variance. The first step that a mathematician does with the collected data is to organize it in the form of a frequency distribution table. All the calculations and statistical tests and analyses come later.

Tally Marks are used to keep a track of numbers in the quickest possible way. Tally marks are used for counting and are represented as a set of five lines in which there are four vertical lines (one vertical line is made for each of the first four numbers) and the fifth number is represented by a diagonal line across the previous four numbers. It can be understood through the given figure

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please help me to get an answer thanks

Answers

Answer:

A=P(1+in)

A=13000(1+6/100×9)

A=press calculator

You’re taking a 33 question multiple choice test. Each question has 4 choices. Clueless on 1 question, you decide to guess. What’s the chance you’ll get it right?

Answers

25% chance because 1/4 is 25%

A number $x$ is equal to $7\cdot24\cdot48$. What is the smallest positive integer $y$ such that the product $xy$ is a perfect cube?

Answers

Take the prime factorization of [tex]x[/tex].

[tex]x = 7\times24\times48 = 7\times(2^3\times3)\times(3\times2^4) = 2^7\times3^2\times7[/tex]

If [tex]xy[/tex] is a perfect cube, then the smallest [tex]y[/tex] that makes this happen is [tex]y=2^2\times3\times7^2 = \boxed{588}[/tex]. We "complete" the cube by introducing just enough factors to get each prime power to be a multiple of 3.

Answer: 588

Step-by-step explanation:

Find the surface area of a rectangular prism with a height of 16 feet, a width of 10 feet, and a length of 13 feet.

Answers

The surface area of a rectangular prism with a height of 16 feet, a width of 10 feet, and a length of 13 feet is 996 ft².

A = Surface area

l = Length

w = Width

h = Height

A = 2 ( w l + h l + h w )

= 2 · ( 10 · 13 + 16 · 13 + 16 · 10 )

= 996 ft²

The gap occupied by using a dimensional flat surface is referred to as the region. it's far measured in rectangular gadgets. The location occupied by using a 3-dimensional object by means of its outer floor is referred to as the surface location.

The surface vicinity of a strong object is a degree of the total vicinity that the surface of the item occupies.

The floor location is the overall location included via all of the faces of a 3-d item. As an example, if we need to discover the amount of paint required to paint a cube, then the surface on which the paint will be implemented is its floor place. it is continually measured in square gadgets.

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Jenny made $120 for 8 hours of work. How much would jenny make for 40 hours of work? Use a proportion to show your work in the space provided.

Answers

Answer:

$600

Step-by-step explanation:

For 8 hours she makes $120

For 1 hour she makes $120÷8 = $15

For 40 hours she makes $15 × 40 = $600

Our final answer is $600

Hope this helped and have a good day

$600
hope you do good!

Find the midpoint between
-7 + 4i
and
3 - 2i

Answers

Answer:

-2+i

Step-by-step explanation:

-7+4i represents (-7,4) and 3-2i represents (3,-2).

So, the midpoint is (-2,1), which represents -2+i.

The table above represents what type of function?
A.
linear and nonlinear
B.
linear
C.
neither linear nor nonlinear
D.
nonlinear

Answers

B linear
if you look at how the y value changes, it constantly increases by 2 when x increases by 1. This means the function is of the form y = 2x + b, or linear

B because it’s a linear graph.

Which statement can you use to conclude that quadrilateral xyzw is a parallelogram

Answers

Answer: Option (4)

Step-by-step explanation:

A quadrilateral with two pairs of opposite congruent sides must be a parallelogram.

Find the nth term of the arithmetic sequence (an) whose initial term a and common difference d are given below. What is the forty-fifth term?
a₁ = 2; d = 1/4

Answers

Answer:

  a₄₅ = 13

Step-by-step explanation:

The n-th term of an arithmetic sequence with first term a₁ and common difference d is given by the formula ...

  aₙ = a₁ +d(n -1)

Setup

You want the 45th term where a₁ = 2 and d = 1/4. Putting these values into the formula gives ...

  a₄₅ = a₁ +d(n -1) = 2 +(1/4)(45 -1)

Solution

Evaluating this expression, we have ...

  a₄₅ = 2 +44/4 = 2 +11

  a₄₅ = 13

The 45th term of the sequence is 13.

The forty-fifth term of the sequence whose initial term a = [tex]2[/tex] and common difference d = [tex]\frac{1}{4}[/tex] is [tex]13[/tex]

How to find the nth term of the Arithmetic series?

The nth term of the arithmetic series is find by [tex]Tn = a+(n-1)d[/tex] where Tn is the nth term of the series a is called the initial number and is the common difference between two number. n is the number of term of that arithmetic series.

In the given series initial term a = [tex]2[/tex] and common difference d = [tex]\frac{1}{4}[/tex]

We have the find the forty-fifth term of the given series.

= [tex]Tn=a+(n-1)d[/tex]

= [tex]Tn = 2+(45-1)\frac{1}{4}[/tex]

= [tex]Tn=2+44\cdot\frac{1}{4}[/tex]

= [tex]Tn = 2+11[/tex]

= [tex]Tn = 13[/tex]

So, the forty-fifth term of the sequence whose initial term a = [tex]2[/tex] and common difference d = [tex]\frac{1}{4}[/tex] is [tex]13[/tex]

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Need help with number 3 inequalities with variables on both sides

Answers

Answer:

x ≤ 2

Step-by-step explanation:

We are given the inequality:

[tex]\displaystyle{2x-3 \leq \dfrac{x}{2}}[/tex]

First, get rid of the denominator by multiplying both sides by 2:

[tex]\displaystyle{2x\cdot 2-3\cdot 2 \leq \dfrac{x}{2}\cdot 2}\\\\\displaystyle{4x-6 \leq x}[/tex]

Add both sides by 6 then subtract both sides by x:

[tex]\displaystyle{4x-6+6 \leq x+6}\\\\\displaystyle{4x \leq x+6}\\\\\displaystyle{4x-x \leq x+6-x}\\\\\displaystyle{4x-x \leq 6}\\\\\displaystyle{3x \leq 6}[/tex]

Then divide both sides by 3:

[tex]\displaystyle{\dfrac{3x}{3} \leq \dfrac{6}{3}}\\\\\displaystyle{x \leq 2}[/tex]

Therefore, the answer is x ≤ 2

Answer: [tex]x \leq 2[/tex]

Step-by-step explanation: Given [tex]2x - 3 \leq \frac{x}{2}[/tex], we multiply 2 by both sides to cancel out the 2 in the denominator (multiplying by a number in a fraction turns it into 1, and since the denominator is one, it is the same as saying the number [or variable] on the numerator by itself.)

We then get [tex]4x - 6 \leq x[/tex].

Adding 6 to both sides, we get [tex]4x \leq x + 6[/tex].

Subtracting x from both sides, we get [tex]3x \leq 6[/tex]

Dividing by 3 from both sides, we get [tex]x \leq 2[/tex]

Hope this helped!

Using the quadratic formula, solve the
equation below to find the two possible
values of t.
6x^2-35=-11x
Give each value as a fraction in its
simplest form.

Answers

Answer:

x= 19/12, -41/12

Step-by-step explanation:

I'm guessing x is "t".

The quadratic formula is x=(-b+-sqrtb^2-4ac)/2a I know that this is hard to read sorry!

Plug in a, b, and c.

Oh yeah, first convert it to the form Ax^2+bx+c

so 6x^2-35=-11x

6x^2+11x-35=0

(-11+-sqrt11^2-(-4*6*35))/2*6

Simply: (-11+-sqrt 121+840)/12

(-11+-sqrt961)/12

(-11+-31)/12

-11+30=19

-11-30=-41

x= 19/12, -41/12

Let theta be an angle in quadrant iv such as sin theta = -5/8. find the exact value of sec theta and cot theta

Answers

Using a trigonometric identity, it is found that the secant and the cotangent of the angles are given as follows:

[tex]\sec{\theta} = \frac{8\sqrt{39}}{39}[/tex][tex]\cot{\theta} = -\frac{\sqrt{39}}{5}[/tex]

Which trigonometric identity relates the sine and the cosine of an angle?

The following identity is used, considering an angle [tex]\theta[/tex].

[tex]\sin^2{\theta} + \cos^2{\theta} = 1[/tex]

In this problem we are given the sine, then the cosine can be found as follows:

[tex]\left(-frac{5}{8}\right)^2 + \cos^2{\theta} = 1[/tex]

[tex]\cos^2{\theta} = 1 - \frac{25}{64}[/tex]

[tex]\cos^2{\theta} = \frac{39}{64}[/tex]

[tex]\cos{\theta} = \pm \sqrt{\frac{39}{64}}[/tex]

In the fourth quadrant, the cosine is positive, hence:

[tex]\cos{\theta} = \frac{\sqrt{39}}{8}[/tex].

What is the secant of an angle?

The secant of an angle [tex]\theta[/tex] is one divided by the cosine of the angle, hence:

[tex]\sec{\theta} = \frac{1}{\cos{\theta}} = \frac{1}{\frac{\sqrt{39}}{8}} = \frac{8}{\sqrt{39}} \times \frac{\sqrt{39}}{\sqrt{39}} = \frac{8\sqrt{39}}{39}[/tex]

What is the cotangent of an angle?

The cotangent of an angle [tex]\theta[/tex] is the cosine divided by the sine of the angle, hence:

[tex]\cot{\theta} = \frac{\cos{\theta}}{\sin{\theta}} = \frac{\frac{\sqrt{39}}{8}}{-\frac{5}{8}} = -\frac{\sqrt{39}}{5}[/tex]

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Alex scored 40 marks out of 60 in a spelling test pet scored 65% in the same test who did better

Answers

Based on the test by result, Alex did better in the test by scoring 66.67%

Percentage

Alex = 40 out of 60

Percentage scored by Alex = 40/60 × 100

= 0.66666666666666 × 100

= 66.6666666666666

= 66.67%

my Percentage scored by pet = 65%

Therefore, Alex did better in the test

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Based on an 8-hour day, the number of hours worked in a hospital food service department was 55,267/yr., and the total number of hours paid was 59,995/yr. The actual number of productive FTEs was:

Answers

That year FTE was 26.

According to statement

Labor hours worked that year = 55,267

Total number of hours paid that year = 59,995

The total number of hours during the year

8 hours × 5 days × 52 weeks = 2080 hours

Now we find the FTE per year

So, FTE/YEAR = Labour works on that year / total number of hours in year

Substitute the values in it then

FTE/YEAR = 55267/2080

FTE/YEAR = 26

So, That year FTE was 26.

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Point W is located at (-5, -3).

Select all of the following that are 5 units from point W.

Choose all answers that apply:

A. (-5, 2)

B. (−8,−5)

C. (-5, 0)

Answers

The point that is 5 units from W is (A) (-5, 2)

How to determine the points?

The point is given as:

W= (-5, -3)

A point 5 unit from W can be any of the following

W' = (-5 ± 5, -3)

W' = (-5, -3 ± 5)

When the above expressions are evaluated, we have:

W' = (0, -3), (-10, -3), (-5, 2) and (-5, -8)

Hence, the point that is 5 units from W is (A) (-5, 2)

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Do the points (1,2) , (51,27) and (91,48) lie on a straight line? give reason for your answer​

Answers

Answer:

No.  They cannon be on the same straight line.

Step-by-step explanation:

As explained in the attached graphic, the slopes are slightly different between the three points.

Two boys, John and Peter, are running a 100-meter race. In the first race that they run John beats Peter by 5 meters. To make things fair, the next time they race John stands 5 meters behind the starting line. If they run at the same speed as the first race, who will win the second race

Answers

Second time john wins the race because he runs in the race with constant speed as same speed they run in 1st race.

According to the statement

We have given that the John and Peter, are running a 100-meter race.

In the first race that they run John beats Peter by 5 meters. and the next time they race John stands 5 meters behind the starting line.

Here the both participant's speed remain same in both races.

So, We have to find that the If they run at the constant speed as the first race, who will win the second race

So, for this purpose

According to the statement

in first race john beats the peter and wins the race and if they start the second race with the same speed then it is clear that the second time john won the race.

So, Second time john wins the race because he runs in the race with constant speed as same speed they run in 1st race.

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A cylinder has a height of 17 feet and a radius of 6 feet. What is its volume? Use ≈ 3.14
and round your answer to the nearest hundredth.

Answers

Answer:

1921.68 [tex]ft^{3}[/tex]

Step-by-step explanation:

V = pi*r*r*h

= 3.14*6*6*17

= 1921.68

Riley bought a 7 1/2 pounds of clay for the students in her pottery class. She then divided the clay into 4 equal pieces for her students to use for making vases and pots. How much did each piece weigh?

Answers

Answer:

1.857 pounds

Step-by-step explanation:

If the clay is divided into 4 equal parts, we divide 7.5lbs by 4: 7.5/4 = 1.857 lbs

1.875

Do long division to find out 7.5/4

The math team wraps gifts as a way to raise money for traveling to competitions. They offer two choices: a plain wrapping or a decorative wrapping with bows. The table represents the money raised over a busy shopping weekend.

A 3-column table titled Gift-Wrapping Fundraiser has 3 rows. The first column is labeled Plain Gifts Wrapped with entries 10, 25, 16. The second column is labeled Decorative Gifts Wrapped with entries 9, 12, 12. The third column is labeled Total Raised in dollars with entries 47, 86, 68.
Which statement describes the amounts the team charged for wrapping gifts?

Answers

Answer:

Step-by-step explanation:

We will assume that the first two columns are the numbers sold for Plain Wrapping and Decorative Wrapping.  The third colum does not equal the sum of the first two, so we'll assume it is the total paid for both options.  Let set the price of Plain Wrapping to x and the Decorative Wrapping to y.  The number of gift wrappings times the cost per warpping is the product of x or y timers the number wrapped as shown in columns 1 and 2.

Take the first row and set it as an equation:

10x+9y = 47   [10 Plain Wraps and 9 Decorative Wraps bring a total of $47]

Do the same for the second and third rows:

25x + 12y = 86, and

16x +12y =  68

===========

We can take any equation and rearrange it to isolate one of the 2 variables, x or y.  I'll pick 10x = 47-9y and isolate x:

10x = 47-9y

x = (47-9y)/10

-------------------

Now use this definition of x in another equation.  I'll use 25x + 12y = 86.

25x + 12y = 86

25(47-9y)/10 + 12y = 86     [since x = (47-9y)/10 from above]

117.5 - 22.5y + 12y = 86

-10.5y = -31.5

y = 3                                     [the price for decorative wrapping is $3]

If y = 3, then we can use this in any of the equations to find x:

x = (47-9y)/10

x = (47-9(3))/10     [Use y = 3]

x = (47-27)/10

x = 2                              [The price for plain wrapping is $3]

======================

Check to see if these values will expalin the total value of the three rows of numbers:

CHECK:

______UNITS____         $2 each          $3 each

PlainW DecG Total      PlainW ($)      DecG ($)      Total ($)

   x           y                          x                       y

   10         9        $47          $20                    $27              $ 47         OK

   25        12       $86          $50                    $36              $ 86         OK

   16        12       $68          $32                    $36              $ 68         OK

The values work.  Merry Christmas.

Answer:

The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow.

Step-by-step explanation:

just did it in edg

A partition of a positive integer $n$ is any way of writing $n$ as a sum of one or more positive integers, in which we don't care about the order of the numbers in the sum. For example, the number 4 can be written as a sum of one or more positive integers (where we don't care about the order of the numbers in the sum) in exactly five ways: \[4,\; 3 1,\; 2 2,\; 2 1 1,\; 1 1 1 1.\] So 4 has five partitions. What is the number of partitions of the number 7

Answers

There are 15 partitions for the number 7. Where the partitions are nothing but writing an integer in different ways as a sum of two or more integers.

What is a partition?

A partition of a positive integer is the way of writing the integer as a sum of one or more positive integers. Where the order of the integers in the sum is not considered.

What is the number of partitions of the number 7?

There are 15 partitions. They are as follows:

71+62+53+41+1+51+2+41+3+32+2+31+1+1+41+1+2+31+2+2+21+1+1+1+31+1+1+2+21+1+1+1+1+21+1+1+1+1+1+1

These are the 15 possible partitions of the number 7.

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The graph of f(x) = 1/3

is reflected vertically, compressed horizontally by a factor of 5, shifted
right 2 units and down 6 units. Write the equation of the new graph.

Answers

The transformed function is defined by:

g(x) = -f(x/5 - 2) - 6

Where f(x) is the given function.

How to get the equation of the transformed function?

Here we start with the function:

f(x) = (1/3)*x

(I don't know if this is the actual function, but that does not matter, I will solve it in a general way).

If first, we reflect it vertically, then the new function is:

g(x) = -f(x).

If now we compress it horizontally by a factor of 5, then we get:

g(x)  = - f(x/5)

Now we shift it 2 units to the right, then:

g(x) = -f(x/5 - 2)

Finally, we shift it down 6 units, then we get:

g(x) = -f(x/5 - 2) - 6

That is the general form of the function g(x).

Replacing f(x) by what is defined above, we get:

g(x) = -(1/3)*(x/5 - 2) - 6

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The Hartman family is saving $400 monthly for Ronald’s college education. The family anticipates they will need to contribute $20,000 toward his first year of college, which is in 4 years. Which best explains whether the family will have enough money in 4 years?
The family will not have enough money. They will have saved only $16,000.
The family will not have enough money. They will have saved only $19,200.
The family will likely have enough money. They will have saved $16,000 and have accumulated interest.
The family will likely have enough money. They will have saved $19,200 and have accumulated interest.

Answers

The statement which best explains whether the family will have enough money in 4 years is; The family will not have enough money. They will have saved only $19,200.

Savings

Amount Hartman family saves monthly = $400Amount needed = $20,000Number of years = 4Number of months = 4 × 12 = 48

Amount saved in 4 years = Amount Hartman family saves monthly × Number of months

= $400 × 48

= $19,200

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The statement which best explains whether the family will have enough money in 4 years is; The family will not have enough money. They will have saved only $19,200.

Savings

Amount Hartman family saves monthly = $400Amount needed = $20,000Number of years = 4Number of months = 4 × 12 = 48

Amount saved in 4 years = Amount Hartman family saves monthly × Number of months

= $400 × 48

= $19,200

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7. Find the equation of the line passing through the
points P(-2,7) Q(2,-3)

Answers

Answer: y=[tex]-\frac{5}{2} x+2[/tex]

Step-by-step explanation:

Use the equation of the line format: y = mx + b

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

[tex]m=\frac{-3-(7)}{2-(-2)}[/tex]

[tex]m=\frac{-10}{4}[/tex]

simplified

[tex]m=\frac{-5}{2}[/tex]

in order to find B:

[tex]y = -(\frac{5}{2}) *(-2)+b[/tex]

Insert value of y:

[tex]7 = (-\frac{5}{2} ) * (-2) +b[/tex]

Rewrite:

[tex]-\frac{5}{2} * -2 - b=7[/tex]

Cancel the common factor of 2:

[tex]-5 * -1 +b = 7[/tex]

Multiply -5 by -1:

[tex]5 + b= 7[/tex]

Subtract 5 from both sides:

[tex]b = 7-5\\b=2[/tex]

Now substitute values of m, and the final answer is:

[tex]y = -\frac{5}{2}x + 2[/tex]

Which algebraic expression has a term with a coefficient of 9?
• A. 6 + X- 9
• B. 6x - 9
C. 6(x + 5)
• D. 9x ÷ 6

Answers

Answer:

D

Step-by-step explanation:

Coefficient is the number next to the variable, and D is the only one where that number is 9. All the others are 6.

Answer- D. 9x/6 because a coefficient is a number before x

Consider the expansion of (x^2+px-3)(3x-5),where p is a constant.If the coefficient of x of the expansion is -44,find the value of p

Answers

Answer:

p = 7

Step-by-step explanation:

(x² + px - 3)(3x - 5)

each term in the second factor is multiplied by each term in the first factor, that is

x²(3x - 5) + px(3x - 5) - 3(3x - 5) ← distribute parenthesis

= 3x³ - 5x² + 3px² - 5px - 9x + 15 ← collect like terms

= 3x³ +x²(3p - 5) - x(5p + 9) + 15

given the coefficient of the x- term is - 44 , then

-(5p + 9) = - 44 ← - (5p + 9) is th coefficient of x in the expansion

- 5p - 9 = - 44 ( add 9 to both sides )

- 5p = - 35 ( divide both sides by - 5 )

p = 7

The prism shown in the diagram has a volume of 39 units^3. What is the volume of the pyramid? Explain your reasoning. I WILL GIVE BRAINLIEST ASAP FOR A QUICK ANSWER

Answers

The volume of the pyramid is 13 units³.

What is the volume of the pyramid?

A pyramid is a 3-dimensional shape that is made up of a rectangular base and 4 triangular faces. The volume of a pyramid is one-third that of a prism.

Volume of a pyramid = 1/3 x prism

1/3 x 39 = 13

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Which expression can be used to find 52% of 230?

Answers

Hello,

52% of 230 = 52/100 × 230 = 0,52 × 230 = 119,6

Answer:

230 : 100 * 52 =

Step-by-step explanation:

Which expression can be used to find 52% of 230?

The expression is: 230 : 100 * 52 =

6.6x 10⁵ in standard notation

Answers

Answer:

660000

Step-by-step explanation:

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A cooler has 6 Gatorades B, 2 colas, and 4 waters. You select three beverages from the cooler at random. Let B denote the number of Gatorades selected and let C denote the number of colas selected. For example, if you grabbed a cola and two waters, then C=1 and B=0. (a) Construct a joint probability distribution for B and C. (b) Find the marginal distribution p B (b). (c) Compute E[C] (d) Compute E[3BC 2 ] What are the reasons why a partial performance exception to the statute of frauds could be applied? (Check ALL that apply.)a. Party has not begun to improve the landb. Buyer has taken possession of a land interest as part of a contractc. Both parties could lose money on the contractd. Partial payment for a contract involving an interest in land Regulatory Accounting Principles (RAP) can be used: Multiple Choice O as a source of statistical information. O O to determine the amount of dividend to be paid. to set the prices customers may be charged. O o as a basis for supervisory action. if a distribution has a mean of 100 and a standard deviation of 15, what value would be 2 standard deviations from the mean? a. 85 b. 130 c. 115 d. 70 Buffalo Company sold 218 color laser copiers on July 10, 2020, for $3,680 apiece, together with a 1-year warranty. Maintenance on each copier during the warranty period is estimated to be $341. Prepare entries to record the sale of the copiers, the related warranty costs, and any accrual on December 31, 2020. Actual warranty costs (inventory) incurred in 2020 were $17,060 According to the video Making Stuff: Smaller, silicon transistors can be made smaller because they are:Group of answer choicesmechanical switches.able to be crafted.materials.metallic. The speed of light in substance A is x times greater than the speed of light in substance B. v Part A Find the ratio na /no in terms of x. Express your answer in terms of x. V AEO ? NA = NB Which rationale best explains Japan's attack on Pearl Harbor in December 1941?A. to prevent the United States from entering World War II on the side of the AlliesB. to solidify its dominant position throughout the Pacific by crippling the U.S. NavyC. to obtain a naval base that would allow it to begin colonizing territories in the AmericasD. to reduce its competition for markets in Asia by disrupting U.S. trade routes across the Pacific 6. the demand for a product is = () = 300 where x is the price in dollars. a. (6 pts) find the elasticity of demand, e(x). hierarchical clustering is a technique that uses an iterative process to group data into a hierarchy of clusters. what are two common strategies of hierarchical clustering? methyl orange is an indicator that changes color from red to yellow-orange over the ph range ~c.e(l'fl from 2.9 to 4.5. methyl orange If is a cell is too large or does not have the correct resources it______Group of answer choicesgoes to the G0 phasemoves through the cycle anywayburstsgoes onto G1 phase c&a holds on average $20,000 in inventory throughout the year. its cost of goods sold is $250,000 and sales are $400,000. what is c&as inventory turns? please help me find the area of the rectangle a, triangle b, and the whole figures area Suppose X is a random variable with density function proportional to for * > (1+x29)Find the 75th percentile of X A. 1.00 B. 0.25 C. 2.20 D. 3.00 E. 1.50 although liberals tend to favor government intervention in the economy, they are generally suspicious of attempts to use the government to regulate Did digestion affects the lives of each one of us? A water-Insoluble hydrocarbon A decolorizes a solution of Br2 in CH2Cl2. The base peak in the EI mass spectrum of A occurs at m/z = 67. The proton NMR of A is complex, but integration snows that about 30% of the protons have chemical shifts in the 1.8- 2.2 region of the spectrum. Treatment of A successively with OsO4, then periodic acid. And finally with Ag2O, gives a single dicarboxylic acid B that can be resolved into enantionmers. Neutralization of a solution containing 100.0 mg of B requires 13.7 mL of 0.100 M NaOH solution. Compound B, when treated with POCl3, forms a cyclic anhydride. Give the structures of A and B, Omitting stereochemistry. an audience that is neither in favor nor opposed will likely be __________. 100 points only if correctthe table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:x g(x)0 $6003 $7206 $840part a: find and interpret the slope of the function. (3 points)part b: write the equation of the line in point-slope, slope-intercept, and standard forms. (3 points)part c: write the equation of the line using function notation. (2 points)part d: what is the balance in the bank account after 7 days? (2 points)