a store makes a profit of $1000 in January. in February the sales are up 25%, but in March the profit is down 25%. The manager says the profit for the march is still $1000. What is his error? What is the actual profit for the march?

Answer:

z=104

Step-by-step explanation:

A line is always 180 degrees.

This model is formed by 2 lines.

z and 76 form a line, which means that they are supplementary.

We can set up this equation:

z+76=180

Subtract 76 from both sides.

z=104

If you needed to figure out x, it would also be 104 degrees.

This is because x and z are vertical angles.

Vertical angles are always congruent.

Answer:

y = -1

Step-by-step explanation:

1/2 of 4y + (y + 3) = 0

1/2 X 4y + (y + 3) = 0

4y/2 + (y + 3) = 2y + y + 3 = 0

3y = -3

∴ y = -1

Answer:

1/2*4*y+(y*3)

1/2*4*y+(3y)

1/2*4y+(3y)

2y+(3y)

=5y

Step-by-step explanation:

Answer:

Step-by-step explanation:

Factorize 625 & 48

625 = 25 * 25 = 5 * 5 * 5 * 5 = 5⁴

48 = 16 * 3 = 2 * 2 * 2 * 2 *3 = 2⁴ * 3

[tex]\sqrt[4]{625*48} = \sqrt[4]{5^{4} * 2^{4} * 3}=5*2\sqrt[4]{3}[/tex] =[tex]10\sqrt[4]{3}[/tex]

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▹ Answer

3.73 or 3 11/15

▹ Step-by-Step Explanation

15x + 2 = 58

Do the inverse operation (subtract 2 from both sides)

2 - 2 = na

58 - 2 = 56

15x = 56

Divide 15 on both sides:

15/15 = x

56/15 = 3.73 or 3 11/15

Hope this helps!

CloutAnswers ❁

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Answer:

Step-by-step explanation:

If Mr Powell and Ms. Krawczyk live 24 miles apart, then the distance between their houses is 24 miles.

Let A be the Mr powell house, B be Ms. Krawczyk house and C be the restaurant. If the restaurant is halfway their houses and the distance between their houses is a straight line distance, then AC = CB where AC  is the distance between Mr Poweel house and the restaurant and CB is the distance between Ms. Krawczyk house and the restaurant.

Given AB =  (8x-2) miles and CB = (5x+10) miles

8x-2 = 5x+10

Collect like terms;

8x-5x = 10+2

3x = 12

x = 4

Substituting x = 4 into AB and CB

AB = 8(4)-2

AB = 32-2

AB = 30 miles

BC = 5(4)+ 10

BC = 20+10

BC = 30 miles

Answer:

6

Step-by-step explanation:

3x + y =

= 3(1) + 3

= 3 + 3

= 6

Answer:

12?

Step-by-step explanation:

Answer:

12, 6 x 2 =12

Answer:

The image is not shown, but this can be answered.

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

This says that, for any given two points, we can find a line that passes through both of them.

Then we have that two points are ALWAYS collinear.

Then does not matter which points the student chooses, because we can find a line that passes through them, then the probability that these randomly chosen points are collinear is 1 or 100% in percentage form.

Answer:

0.0003652

Step-by-step explanation:

3.652 * [tex]10^{-4} = \frac{3.652}{10^{4}}= \frac{3.652}{10000}=0.0003652[/tex]

Answer:

x= no real numbers

Step-by-step explanation:

4+2(a+5)<-2(-a-4)

Distribute

4+2*a+2*5<-2*-1-2*-4

Simplify.

4+2a+10<2a+8

14+2a<2a+8

Subtract 2a from both sides

14<8

This is false.

There are no real solutions to the given inequality,

Answer:

see below (I hope this helps!)

Step-by-step explanation:

A real-life situation for this inequality could be "Tom runs a lemonade stand. His profit is x. If Tom knows that his profit is less than 2 dollars, what inequality represents this situation?"

Answer:

factor of hundred is

100 - 1, 2,4,5,10,100

Answer:

The ratio is 3 : 14 .

Step-by-step explanation:

Given that there are 6 yellow, 10 orange and 12 pink roses.

So there are a total of 28 roses, 6+10+12 = 28.

The question wants the ratio of yellow roses to total roses so, the ratio is 6 : 28.

Next, you have to give in simplest form where you have to divide 2 which is 6/2 : 28/2 equals to 3 : 14.

Answer: x+ 2x -3 = 12

Step-by-step explanation:

x represents Michael's laps. 2x -3 represents Braden's laps. Added together for a total of 12

One step further would be to combine the x terms, so the equation becomes 3x - 3 = 12

Answer:

See explanation

Step-by-step explanation:

The golden rule for solving equations is to

A. Simplify each side of the equation by removing parentheses and combining like terms

B. Add/Subtract to isolate the term with the variable on one side

C. Use multiplication/division to isolate the variable

Let's assume we have the equation [tex]2x + 3x + (5\cdot2) = 35[/tex]

The first thing we need to do is solve inside the parentheses and combine like terms. 2x and 3x are like terms, so:

[tex]2x + 3x + 10 = 35\\\\5x + 10 = 35[/tex]

Now we have to subtract/add to isolate the term with the variable. To do this, we can subtract 10 from both sides.

[tex]5x + 10 - 10 = 35-10\\\\5x = 25[/tex]

Now we divide to isolate x.

[tex]5x \div 5 = 25\div5\\\\x = 5[/tex]

Hope this helped!

Answer:

x = 14

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

7x - 3 is an exterior angle of the triangle, thus

7x - 3 = 4x - 2 + 41

7x - 3 = 4x + 39 ( subtract 4x from both sides )

3x - 3 = 39 ( add 3 to both sides )

3x = 42 ( divide both sides by 3 )

x = 14

Answer:

I am writing a Python program:

def most_common_letter (string):  #function that takes a string as argument and returns the most commonly occurring letter in string

   string = string.lower()  # converts the string into lower case

   inp_string="".join(string.split())  #splits the string in to a list and joins the elements of the list

   maximum = 0  #sets the value of maximum to 0

   letter = ""  #stores the most commonly occurring letter

   length = len(inp_string)  #returns the length of the input string

   counter = 0  #counts the occurrences of the letter in the string

   for i in range(0, length):  # iterates through the length of string        

       j = 0  #initializes j to 0

       char = inp_string[i]  #  holds letter of input string at index position i

       while length > 0:  # iterates until the length of string exceeds 0

           if (char == inp_string[j]):  # if letter in char is equal to letter at index j of the string

               counter += 1  #adds 1 to the count

           j += 1  #increments j by 1

           length -= 1    #decrements value of length by 1

           if (maximum <= counter):  #if maximum value is less than counter

               maximum = counter  #sets the maximum number of occurrences of a letter to maximum

               letter = char #sets the most occuring letter in string to letter

   return letter  #returns the most commonly occurring letter in the input string

#in order to check if the function works properly use following statement

print(most_common_letter("This is a test of the function I have written")) #calls most_common_letter method by passing a string to it

Step-by-step explanation:

The program works as follows:

I will explain this with the help of an example. Suppose the string is:

string = "hello worLd"

first this string is converted to lowercase using lower() method. So the string becomes:

string = "hello world"

Next the string is split into a list using split() method. The string becomes:

['hello', 'world']

Then using join() this string is joined together on the basis of "" empty space

So the string becomes

helloworld

This string is assigned to the inp_string variable. Hence

inp_string = "helloworld"

The value of maximum is initialized to 0 and variable letter is also declared

which holds the most commonly occurring letter in the inp_string

len function is used to get the length of the inp_string

counter is initializes to 0. This counts the number of times the letter occurs in a string

The for loop iterates through the inp_string

Inside the loop the statement char = inp_string[i] sets the letter at the i-th index of inp_string to char.

i is initialized to 0 so inp_string[i] is inp_string[0] which is the first element of the string i.e. "h".

The program control then moves to the while loop. As length>0 so the program moves to the body of while loop which has an if statement:            if (char == inp_string[j]):      

This checks if the letter stored in char is equal to the letter at j-th index of the string. Now as j is initialized to 0. So

if (char == inp_string[0]):   this evaluates to true and value of counter is incremented to 1. Next value of j also incremented to 1 and length of string is decremented to 1 Hence

counter = 1

j = 1

length = 9

Next if (maximum <= counter): condition checks if value of maximum is less than or equal to counter. It is true because maximum=0 and counter =1

So    maximum = counter  assigns counter value to maximum and letter = char assigns char to letter which was initially empty.

  maximum = 1

  letter = 'h'

At occurrence each iteration each letter in a string is counted and the letter that occurs the most in the string is returned by the function. For the above example hello world, letter l appears 3 times in the string and it is the most commonly occurring letter in the input string. So letter "l" is returned by this function. Hence the output of this program is l.

Answer:

The correct box plot is B  (Bottom left)

Step-by-step explanation:

I have attached the appropriate picture containing the box plots to this answer. In order to choose the most appropriate box plot, we have to find the median of the distribution and locate the box plot showing the correct median. This is done as follows:

To find the median, we will first arrange the distribution in ascending (or descending) order

Median = 52, 54, 56, 58, 60, 62, 64

Next, we will group the data into two halves, and choose the middle term, which is 58. this becomes the median.

From the diagram, box plots, A, B and C have their median as 58, in order to determine the correct plot, we will find the medians to the lower and upper halves of the distribution. This is done as follows:

Lower half: 52, 54, 56, 58

Median of lower half = (54 + 56) ÷ 2 = 55

upper half = 58, 60, 62, 64

Median of upper half = (60 + 62) ÷ 2 = 61

From the picture the plot with these three medians from lower half to upper half (55, 58, 61) is plot B (bottom left)

Note the medians are the lines that form the boundaries and at the middle of the box.

Answer:

The answer is B bottom left :

Answer:

[tex]\frac{227}{1000}[/tex]

Step-by-step explanation:

A rational number has the form

[tex]\frac{a}{b}[/tex] where a and b are integers

Given

0.227 ← with the 7 in the thousandths place value position, then

= [tex]\frac{227}{1000}[/tex]

Answer:

Height of the tank is 1.5m

Step-by-step explanation:

Given

Shape: Cuboid

Base Dimension = 2.5m by 2m

Volume = 7500 litres

Required

Determine the height of the tank

First, the area of the base has to be calculated;

[tex]Area = 2.5m * 2m[/tex]

[tex]Area = 5.0m^2[/tex]

Next is to calculate the height using volume formula;

[tex]Volume = Area * Height[/tex]

Recall that Volume = 7500L [Convert to m³]

[tex]1 L = 0.001m^3[/tex]

So;

[tex]7500L = 7500 * 0.001m^3[/tex]

[tex]7500L = 7.5m^3[/tex]

Hence;

[tex]Volume = 7.5m^3[/tex]

Substitute 7.5m³ for Volume and 5.0m² for Area in the following formula

[tex]Volume = Area * Height[/tex]

[tex]7.5m\³ = 5.0m\² * Height[/tex]

Divide both sides by 5.0m²

[tex]\frac{7.5m\³}{5.0m\²} = \frac{5.0m\² * Height}{5.0m\²}[/tex]

[tex]\frac{7.5m\³}{5.0m\²} = Height[/tex]

[tex]1.5m = Height[/tex]

[tex]Height = 1.5m[/tex]

Hence, the height of the tank is 1.5m

Answer:

The probability that the middle school student owns a skateboard or a bicycle is 0.61.

Step-by-step explanation:

We are given that the probability of a middle school student owning a skateboard is 0.58, of owning a bicycle is 0.48, and owning both is 0.45.

A middle school student is chosen at random.

Let the probability of student owning a skateboard = P(S) = 0.58

The probability of student owning a bicycle = P(B) = 0.48

The probability of student owning both = P(S [tex]\bigcap[/tex] B) = 0.45

Now, the probability that the middle school student owns a skateboard or a bicycle is given by = P(S [tex]\bigcup[/tex] B)

        P(S [tex]\bigcup[/tex] B) = P(S) + P(B) - P(S [tex]\bigcap[/tex] B)

                      = 0.58 + 0.48 - 0.45

                      = 0.61

Hence, the probability that the middle school student owns a skateboard or a bicycle is 0.61.

Answer:

1 5/7

Step-by-step explanation:

[tex]\frac{12}{7} \\= 12\div 7 = 1\: remainder\: 5\\\\= 1 \frac{5}{7}[/tex]

Answer: 1 and 5/7

Step-by-step explanation: To write an improper fraction as a mixed number,

divide the denominator into the numerator.

So here, we have 7 divided into 12.

7 divides into 12 one time, 1 × 7 is 7, and 12 - 7 is 5.

So 7 divides into 12 one time with a remainder of 5.

So we have 1 whole and 5 out of 7 parts or 1 and 5/7.

So the improper fraction 12/7 can be written

as the mixed number 1 and 5/7.

Answer:

Option C

Step-by-step explanation:

If we see, the order is that:

if 1 green block increases, then 1 blue block will increase in the next.

Since, 1 green block increased, so 1 blue block will increase in the next.

So, the answer is C.

Answer:

r = 2q - 6

Step-by-step explanation:

10q - 5r = 30

-10q        -10q

-5r = -10q + 30

/-5     /-5     /-5             -10/-5 = 2        30/-5 = -6

r = 2q - 6

Answer: -1

Step-by-step explanation:

(2-7) (5-3)+ 3^2

(-5) (2)+9 Multiply -5 and 2

-10+9 Add -10 to 9

-1

Answer:

Set notation: { x ∈ ℝ | -25 < x < 30 }

Interval notation: (-25, 30)

Step-by-step explanation:

In set notation,

"x ∈ ℝ" means "x is an element of all real numbers"

you then write the restrictions after that, which would be "-25 < x < 30"

this gives you { x ∈ ℝ | -25 < x < 30 },

"x is an element of all real numbers, such that x is larger than -25 and less than 30"

In interval notation, it is written as (-25, 30). The parentheses mean that the interval does not include the numbers -25 or 30.

If the interval does include those numbers, i.e. if it was "-25 ≤ x ≤ 30" instead of "-25 < x < 30" you would use brackets instead of parentheses,

giving you {-25, 30}.

Answer: B. It is a continuous random variable.

Step-by-step explanation:

A continuous random variable is a random variable where the data or value can assume infinitely many values ( meaning it’s a continuous set of data. )

For example a random variable measuring the time taken for someone to cook rice is continuous since there are an infinite number of possible times that can be done.

Answer:

its b i got it right

Step-by-step explanation:

Answer:

Approximately 54°

Step-by-step explanation:

So we know Angle A, the side opposite to Angle A, and the side opposite to Angle B (the angle we want to find). Given these circumstances, we can use the Law of Sines.

The Law of Sines states that:

[tex]\frac{\sin(A)}{a} =\frac{\sin(B)}{b} =\frac{\sin(C)}{c}[/tex]

The variables do not really matter. Instead, it's more important that the angle corresponding to the side lines up with each other.

Anyways, since we know Side A, Angle A, and Side B, let's use the first and second ratios:

[tex]\frac{\sin(A)}{a} =\frac{\sin(B)}{b}[/tex]

Plug in 80° for A, 11 for a, and 9 for b:

[tex]\frac{\sin(80)}{11} =\frac{\sin(B)}{9}[/tex]

Cross multiply to solve for B:

[tex]9\sin(80)=11\sin(B)[/tex]

Divide both sides by 11:

[tex]\sin(B)=\frac{9\sin(80)}{11}[/tex]

Use the inverse sine function. And finally, use a calculator to solve:

[tex]\angle B =\sin^{-1}(\frac{9\sin(80)}{11} )\\\angle B\approx53.6829\textdegree\approx54\textdegree[/tex]

Answer:

257.8

Step-by-step explanation:

The angle of 4.5 radians is approximately equal to 257.8 degrees.

The formula to convert radians to degrees is written as follows:

degrees = radians x (180/π)

where π (pi) is approximately 3.14159.

To convert 4.5 radians to degrees, we can use the conversion factor 180/π, which is the number of degrees in one radian.

degrees = 4.5 x (180/π)

degrees ≈ 257.87 degrees (rounded to the nearest 10th).

Therefore, the angle of 4.5 radians is approximately equal to 257.8 degrees.

Learn about the conversion of  radians to degrees here:

https://brainly.com/question/31673497

#SPJ2

Answer:

$387,336.64 1

Step-by-step explanation:

The computation of the amount invested now is shown below:

Here we use the present value formula i.e. to be shown in the spreadsheet

Given that,  

Future value = $0

Rate of interest = 6%  ÷ 12 months = 0.5%

NPER = 20 years × 12 months = 240 months

PMT = $2,775

The formula is shown below:

= -PV(Rate;NPER;PMT;FV;type)

So, after applying the above formula, the present value is $387,336.64 1