A man loses 20 percent by selling an article for 11. What was the cost price of the article

Answer:

326

Step-by-step explanation:

The value of the given expression is 326.

Given:

The given expression 2 hundreds + 12 tens + 6 ones.

To find:

The value of the given expression.

Explanation:

The numeric form of given expression is:

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

Therefore, the value of the given expression is 326.

Answer:

5xsquared+x+5

Step-by-step explanation:

first combine x squared with 4x squared and you will get 5xsquared.

next combine 6x and -5x and you will get 1x or just simply x. Finally combine 3 and 2 (3+2) = 5.

Answer:

268

Step-by-step explanation:

Answer: The value represented by the digit 6 is 100 times greater.

Step-by-step explanation: The digit 6 in the number 84,362 is in the tens place, whereas the digit 6 in the number 6,419 is in the thousandths place. One thousand is equal to 10 x 100, meaning that the value is 100 times greater. Hope this helps and have a great day!

The value of digit 6 in 6419 is 100 times greater than the value of the digit 6 in 84362.

Place value describes the position or place of a digit in a number. Each digit has a place in a number.

When we represent the number in general form, the position of each digit will be expanded.

Those positions start from a unit place, or we also call it one’s position. The order of place value of digits of a number of right to left is units, tens, hundreds, thousands, ten thousand, a hundred thousand, and so on.

Given that are two numbers 6419 and 84362, we need to determine that the value digit 6 in 6419 is how much times greater than the value of the digit 6 in 84362.

So, the expanded form of the numbers =

6419 = 6000 + 400 + 10 + 9

84362 = 80000 + 4000 + 300 + 60 + 2

Place values of 6 in each =

In 84362 = 60

In 6419 = 6000

∴ 6000 / 60 = 100

Hence, the value of digit 6 in 6419 is 100 times greater than the value of the digit 6 in 84362.

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The value of chi-square statistic is;

In the contingency table, "O" stands for the observed value, "E" for the predicted value, and "I" for the "ith" position.

Given,

Chi- Square test;-

A statistical technique called the chi-square test is used to compare actual outcomes with predictions. The goal of this test is to establish whether a discrepancy between observed and expected data is the result of chance or a correlation between the variables you are researching.

We have to find the value of chi- square statistic;

The chi-squared statistic is a single figure that indicates the degree to which the counts you saw deviate from the counts you would anticipate if there were no association at all in the population. If I is the "ith" position in the contingency table, "O" is the observed value, "E" is the anticipated value, and "O" is the observed value.

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The Solution for the given system of equations is (-2) and \((\frac{5}{3})\).

The given are linear equations as follow:
y = \(\frac{2}{3}x\) + 3              .. ... ...(1)
and x  = -2.          .. .... ...(2)

We already know the first part of the solution (x) which is -2.  We can find the other part (y) by putting the value of equation (2) in equation (1).

By putting the values of x in equation (1), we get

y = \((\frac{2}{3})(-2)\) + 3
y = \(\frac{-4}{3}\) + 3

Taking the L. C. M of denominators which will be '3', we get:

y = \(\frac{-4 + 9}{3}\)

y = \(\frac{5}{3}\)

So the second part (y) of the solution of the given equation is \(\frac{5}{3}\).

Hence, the overall solution to the given system of equation is \((-2, \frac{5}{3})\).

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The guests in the birthday party ate 33 cookies.

We know that Mrs. Smith made 6 1/4 dozen cookies and there were 3 1/2 dozen cookies left.

Let's first convert these fractions to a common denominator of 4, so we can easily subtract them.

6 1/4 dozen = 25/4 dozen

3 1/2 dozen = 14/4 dozen

Now we can subtract the number of cookies that were left from the number of cookies that were made:

25/4 - 14/4 = 11/4 dozen

To find out how many cookies this represents, we need to multiply by the number of cookies in one dozen.

There are 12 cookies in one dozen, so:

11/4 x 12 = 33

Therefore, the guests ate 33 cookies.

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Answer:

0.40

Step-by-step explanation:

5/13 = 0.38461538461. Hundreths place is the 2nd number after decimal so if you round 8 it'll be .40

Answer:

5/13 as a decimal to the nearest hundredth is 0.39 or 0.40.

Step-by-step explanation:

You simply need to divide 5 by 13, and you get 0.384615, but round to the nearest hundredth gets you 0.40

Domain: 8, 9, 10, 11.Range: -7, 7 This relation does not represent a function because the same x-value (8, 10, 11) is associated with more than one y-value (-7, 7).

Domain: 8, 9, 10, 11

Range: -7, 7

A function is a relation between a set of inputs and a set of outputs such that each input is associated with exactly one output. This particular relation fails to meet this condition because the domain value 8 is associated with two different range values (-7 and 7). In other words, the same input (8) is associated with two different outputs, which means the relation does not represent a function. The domain of the relation is 8, 9, 10, 11 and the range is -7 and 7. Therefore, this relation does not represent a function because it violates the condition that each input must have one and only one associated output.

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The increase in the price of tacos shifts the demand curve to the left, causing a decrease in the equilibrium price and quantity of hamburgers.

The accompanying supply and demand diagram is depicting the market for hamburgers in your hometown. The event that is given is that the price of tacos increases. This will cause the demand curve to shift to the left, as consumers shift from hamburgers to tacos. As the demand curve shifts to the left, the equilibrium price will decrease and the equilibrium quantity will decrease. This is because the decrease in demand will cause the quantity demanded to fall and the decrease in demand will cause the price to fall. This shift in the supply and demand curves will cause the equilibrium point to move to the left and downward. The new equilibrium price will be lower than the original equilibrium price and the quantity will also be lower.

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The theoretical probability of spinning red is given as follows:

1/3.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For the spinner in this problem, 2 out of 6 regions are red, hence the theoretical probability is given as follows:

2/6 = 1/3.

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Answer:

60 inches.

Step-by-step explanation:

There are 12 inches in one foot:

12 x 5 = 60

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Answer:

60 inches

Step-by-step explanation:

(5 feet) = \(\frac{12inches}{1foot}\)  The word feet can cancel and you are left with

(5)(12 inches) = 60 inches.

The final answer will be (we first do the multiplications, then the divisions, and then the addition)

The expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.

Pascal's Triangle is a triangular array of numbers in which the value in each cell is the sum of the two numbers directly above it.

To expand the given expression (x²-3y)⁴ as per Pascal's triangle:

First, write down the fourth row of Pascal's Triangle as:

1 4 6 4 1

The above numbers represent the coefficients of the terms in the expansion of (a+b)⁴, where a is x² and b is -3y. Therefore, it can be written as,

1×(x²)⁴ + 4×(x²)³×(-3y) + 6×(x²)²×(-3y)² + 4×(x²)(-3y)³ + 1(-3y)⁴

Simplify each term,

x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸

Therefore, the expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.

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(a) Triangle ABC is similar to triangle AED because angle BAC is congurent to angle EAD and angle ADE is also congurent to angle ACB.

(b) The distance from C and to the line through AB is 9.5.

(c) The length AE IS 3.16

(d) Angle BAC is 71.565⁰.

(e) The shortest distance from C to E is 8.99.

(f) The area of ​​the whole figure is 37.53 sq unit.

Triangle ABC is similar to triangle AED because angle BAC is congurent to angle EAD and angle ADE is also congurent to angle ACB.

Let the distance from C and to the line through AB = h

BC = 10

Line through C divides the angle into two, = ¹/₂ x 36.87⁰ = 18.435⁰

Angle B = 90 - 18.435⁰ = 71.565⁰

Sin71.565⁰ = h/10

h = 10 x Sin71.565⁰

h = 9.5

\(\frac{AB}{BC} = \frac{AE}{DE} \\\\\frac{6.32}{10} = \frac{AE}{5} \\\\AE = 3.16\)

BAC = 180 - (36.87  + 71.565)

BAC = 71.565⁰

also, since AC = BC, angle B = angle A =  71.565⁰

The shortest distance from C to E is a vertical line that connects C and E.

Let the vertical line = h

|BA| + |AE| = 6.32 + 3.16 = 9.48

sinB = h/9.48

h = 9.48 x sinB

h = 9.48 x sin71.565

h = 8.99

\(\frac{height \ of \ ADE}{base \ ADE} = \frac{height \ of \ ACB}{base \ ACB}\\\\\frac{h}{3.16} = \frac{9.5}{6.32} \\\\h = 4.75\)

Total area = Area of ADE + Area of ACB

A = ¹/₂x base x height + ¹/₂ x base x height

A = ¹/₂ x 3.16 x 4.75  + ¹/₂ x 6.32 x 9.5

A = 37.53 sq unit

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The difference between Tom and Alfie is  1 kg

Let's call the weight of Tom T, the weight of Harry H, the weight of Freddie F, and the weight of Alfie A. We are given that T = H + 5, H = F + 3, and F = A - 2.

Substituting the second and third equations into the first equation gives us:

T = (A - 2) + 3 + 5

T = A - 2 + 3 + 5

T = A + 1

So the difference between Tom and Alfie is T - A = A + 1 - A = 1 kg.

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The customer gets 5.66 hours of bike per dollar

At Hoffman's bike, it cost $17 to rent a bike for 3 hours

The number of hours gotten from the bike per dollar can be calculated as follows

17= 3
1= x

Cross multiply both sides

3x= 17

x= 17/3

x= 5.66

Hence it will cost the customer 5.66 hours to rent the bike for one dollar

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The function on the graph is the logarithmic function:

f(x) =log₅(x)

We can see that we have the graph of a logarithmic function, such that:

The first point is trivial, it means that the argument is a product of x, then we can write:

ln(x)/ln(a)

such that a is a real number, then:

ln(1)/ln(a) = 0/ln(a) = 0

Now we can use the other point:

ln (5)/ln(a) = 1

ln(5) = ln(a)

So we have a logarithm of base 5:

f(x) = ln(x)/ln(5) = log₅(x)

That is the function.

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Answer:

d four

Step-by-step explanation:

How many solutions does the nonlinear system of equations graphed below have?  

Look at the number of points where the graphs intersect each other...the points where the graphs of the functions cross each other are the solutions to the system.  

Upon looking, you should see 4 points where the graphs intersect, so there are 4 solutions to the non-linear system of equations.

Based on the information, we can infer that the tables are completed as follows: 5, 10, 15, 4, 8.

To complete the table of the ratios we must take into account the information provided in the fragment. According to the above, in box A for every two markers there are 5 pencils and in box B for every three markers there are 4 pencils. Then the ratios would be the following:

Box A

box B

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Answer: 62

Step-by-step explanation:

Using the fact that cos(90-x)=sin(x) we get that 90-x=28, so x=62 and the answer is simply 62.

Hope that helped,

-sirswagger21

Answer:

6/4 or 1 2/4

Step-by-step explanation:

Answer:

4x+2

Step-by-step explanation: just trust me pls

Answer:

A. I did this one before so yeah!

Answer:

1+80÷5

1+16

17

Step-by-step explanation:

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Answer:

The expression = -75

Step-by-step explanation:

Evaluate: Enter a number for each variable.

−x2+7(y+2)−1

x=

5

y=

-9

Evaluate for x=5,y=−9

−52+7(−9+2)−1

−52+7(−9+2)−1

=−75

Answer:

Question 3 : Less than one

Question 4 : Starting value

Step-by-step explanation:

Answer:

less than one + Starting value

Step-by-step explanation:

The answer for #3 is less than one because any number greater than one when multiplied increases the value of the number,

and #4 is starting value because it is what you are multiplying the change by. Please mark brainliest + enjoy the night!

Answer: e, an=6n-7.

Step-by-step explanation: Any pair of consecutive terms can be used to determine the arithmetic sequence's common difference (d), which can then be used in conjunction with the given term to determine the nth term using the following formula:

an = a1 + (n - 1) d.

Let's use the pair a11=53 and a10=47 to find d:

d = a11 - a10 = 53 - 47 = 6

Now we can use the formula to find any term of the sequence. Let's use the given value of a13=65 to find a13:

a13 = a1 + (13 - 1)d

65 = a1 + 12(6)

65 = a1 + 72

a1 = -7

Therefore, the formula that can be used to find the nth term of the arithmetic sequence is:

an = -7 + (n - 1)6

Simplifying this expression, we get:

an = 6n - 7.