Twice a number is 500 more than six times the number. What is the number?

The standard equation is 7x + y = 9

layoff Ax + By = C is the usual form for two-variable direct equations. A standard form direct equation is, for case, 2x + 3y = 5. When an equation is given in this format, chancing both intercepts is rather simple( x and y). When trying to break systems involving two direct equations, this form is also relatively helpful.

Given

7x + 3 = 5 and y - 1 = 6

Add the bottoms from the two given equations to produce a single standard-form equation.

By shifting the constant fromR.H.S. toL.H.S., the equations are reset to zero.

7x + 3 - 5 = 0

7x - 2 = 0----( 1)

y - 1 = 6

y - 1 - 6 = 0

y - 7 = 0-----( 2)

Equation 1 and equation 2 must be combined.

7x - 2 + y - 7 = 0

7x + y - 9 = 0

layoff Ax + By = C is the equation's conventional form.

A, B, and C are integers and x and y are variables in this type of equation.

Accordingly, the common equation is

7x + y - 9 = 0

7x + y = 9

therefore the standard equation is 7x + y = 9

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The number of goldfish in a tank is 19, and the volume of the tank is 52 cubic feet. So, 0.37  is the density of the tank.

Density is a measure of the amount of mass that is contained in a specific volume. The formula for density is mass divided by volume.

The volume of a rectangular tank is given by the product of the length, width, and height of the tank.

Since the volume of the tank is given to be 52 cubic feet, we can express this mathematically as:

Volume of the tank = Length x Width x Height= l x w x h

Given that there are 19 goldfish in the tank, we can use this information to determine the average number of goldfish per cubic foot of water. The average number of goldfish per cubic foot of water is the total number of goldfish divided by the volume of the tank:

Average number of goldfish per cubic foot = Total number of goldfish / Volume of tank

The total number of goldfish in the tank is given to be `19.

Average number of goldfish per cubic foot = 19 / 52= 0.367

Therefore, the density of the tank is 0.366 goldfish per cubic foot. So, the correct option is 0.37 goldfish per cubic foot.

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The percentage of u.s. land is national park system land is approximately 41.8%

Convert acres to square miles

Percentage of u.s. land is national park system land = national park system land / Total U.S. land area × 100

= 1476562.5 square miles / 3,537,000 square miles × 100

= 0.417461832061068 × 100

= 41.74618320610687%

Approximately,

41.8%

Therefore, the percentage of u.s. land is national park system land is approximately 41.8%

Complete question:

Total U.S. land area is 3.537 million square miles. Total U.S. national park system land occupies 954 million acres. What percentage of U.S. national park system land?

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A(n) "spanned" volume is similar to a primary partition, but in fact, is not a primary partition.

A spanned volume is similar to a primary partition, but in fact, is not a primary partition. In a spanned volume, you can combine free space from multiple disks to create a larger logical storage unit, while a primary partition is a segment of a hard disk drive that the operating system recognizes as a separate logical storage unit. A volume can span multiple partitions depending on how it is configured, or it can encompass a single partition. Different operating systems have different ways of configuring and managing volumes.

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Answer

Check Explanation

Explanation

A) Let the price of one tomato be t

Let the price of one pepper be p

The cost of 12 tomatoes and 7 peppers is $5.36.

12t + 7p = 5.36

The cost of 8 tomatoes and 5 peppers is $3.68.

8t + 5p = 3.68

B) We can then write this together and solve this as a simultaneous equation

12t + 7p = 5.36

8t + 5p = 3.68

Solving simultaneously,

t = 0.26 dollars

p = 0.32 dollars

C) In the context of the question, this means that,

The cost of one tomato = $0.26

The cost of one pepper = $0.32

Hope this Helps!!!

Answer: The LCD is x(x-3)(x+1) the answer is c

Step-by-step explanation:

Answer:

113.04

Step-by-step explanation:

All you have to do is substitute the r in the equation.

And of course pi is equal to 3.14

V = 4/3(3.14)3^3

That gives you a volume of around 113.04

Answer:

The answer would be 90

Step-by-step explanation:

do 5 percent of 48

Answer:

$29.59

Step-by-step explanation:

100% - 20% = 80%

36.99 x 0.80 = $29.59

Answer:

i think its $20.40 im so sorry if im wrong

Step-by-step explanation:

The area of the shaded region is 42cm².

Here we have the side of the square as 7 + 7 = 14cm

We know that the area of the square formula is a² and the area of the quadrant is πr²/4.

We can now subtract the area of the square from the area of the 4 quadrants, and we get

Area of shaded region = Area of the square – Area of 4 quadrants.

                                      = (7)² - 4× π(7)²/4

We can now solve the above steps, we get

Area of shaded region = 14×14 - 22/7 ×7×7 = 196-154 = 42cm².

The location is the degree of a place's size on a floor. The area of a plane vicinity or aircraft region refers to the place of a shape or planar lamina, even as floor area refers back to the location of an open surface or the boundary of a 3-dimensional object. The place may be understood as the amount of fabric with a given thickness that could be vital to fashion a model of the form or the amount of paint necessary to cover the floor with an unmarried coat. it's far the two-dimensional analog of the period of a curve (a one-dimensional concept) or the extent of a solid (a three-dimensional concept).

There are several well-known formulations for the areas of easy shapes including triangles, rectangles, and circles. using these formulas, the location of any polygon may be observed by means of dividing the polygon into triangles. For shapes with curved boundaries, calculus is typically required to compute the location. certainly, the trouble of figuring out the location of aircraft figures changed into a prime motivation for the ancient improvement of calculus.

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Answer:

it's 2.6

I took the quiz and got it right

Answer:

2.6 cm

Step-by-step explanation:

Let d be the distance in centimeters on the map.

\(\frac{1}{2}=\frac{d}{5.2}\)

2d = 5.2

d = 2.6

Based on Gru's schemes the probability that a. less than 101 schemes will succeed: 0.9983; b. more than 95 schemes will succeed: 0.0018; c. between 95 and 101 schemes will succeed: 0.9966.

Gru's schemes have a 7% chance of succeeding. Total number of Gru's schemes = 1100.

Using binomial distribution, we can find out the probability of number of successes in n number of trials.

Probability of success in each trial p = 0.07

Probability of failure in each trial q = 1 - 0.07 = 0.93

a) Probability that less than 101 schemes will succeed.

Total number of trials n = 1100

P(X < 101) = P(X ≤ 100)

P(X ≤ 100) = ∑P(X = x) for x = 0, 1, 2, ..., 100

Now we can use normal distribution to approximate this probability as the sample size is large enough to apply central limit theorem. So,

mean (μ) = np = 1100 × 0.07 = 77

standard deviation (σ) = √[npq] = √[1100 × 0.07 × 0.93] = 7.233

Using standard normal distribution,

Z = (X - μ) / σ

Z = (100 + 0.5 - 77) / 7.233 = 2.99

So, P(X ≤ 100) = P(Z ≤ 2.99)

From standard normal distribution table,

P(Z ≤ 2.99) = 0.9983

Therefore, P(X < 101) = P(X ≤ 100) = 0.9983

b) Probability that more than 95 schemes will succeed.

P(X > 95) = P(X ≥ 96)

P(X ≥ 96) = ∑P(X = x) for x = 96, 97, ..., 1100

Now we can use normal distribution to approximate this probability as the sample size is large enough to apply central limit theorem. So,

mean (μ) = np = 1100 × 0.07 = 77

standard deviation (σ) = √[npq] = √[1100 × 0.07 × 0.93] = 7.233

Using standard normal distribution,

Z = (X - μ) / σ

Z = (96 - 0.5 - 77) / 7.233 = 2.91

So,

P(X ≥ 96) = P(Z ≥ 2.91)

From standard normal distribution table,

P(Z ≥ 2.91) = 0.0018

Therefore, P(X > 95) = P(X ≥ 96) = 0.0018

c) Probability that between 95 and 101 schemes will succeed.

P(95 ≤ X ≤ 101) = P(X ≤ 101) - P(X < 95)

P(X < 95) is already calculated in (a).

P(X ≤ 101) = 0.9983

Therefore,

P(95 ≤ X ≤ 101) = P(X ≤ 101) - P(X < 95) = 0.9983 - 0.0017 = 0.9966

Hence, the probability that less than 101 schemes will succeed is 0.9983. The probability that more than 95 schemes will succeed is 0.0018. The probability that between 95 and 101 schemes will succeed is 0.9966.

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Step-by-step explanation:

\(f(g(x))\)

\( \frac{8}{ \frac{8}{x} } \)

\(8 \times \frac{x}{8} \)

\( \frac{8x}{8} \)

\(x\)

The same steps will be for g(f(x))

The values for the mortgage monthly payments and interest are;

a) $50,000

b) $1,077.88

c) $123,346

d) $1,469.37

e) $64,486.6

f) 204.17

g) $369.17

A fixed-rate mortgage is a home loan with a fixed interest rate for the entire term of the loan.

a) The minimum required deposit would be 20% of $250,000, which can be obtained as follows;

Minimum deposit = 0.20 × $250,000 = $50,000

b) The monthly payment for a mortgage of $200,000 with a 4.2% APR, paid over 25 years can be calculated using the formula for a fixed-rate mortgage payment is; Monthly payment = P × r × (1 + r)ⁿ/[(1 + r)ⁿ - 1]

Where; P is the principal amount, which is $200,000, t is the monthly interest rate, which is the APR divided by 12, and n is the number of monthly payments to be made, which is 25 years × 12 months/year = 300

Therefore;

r = 4.2%/12 = 0.0035

n = 300

Monthly payment = $200,000 × 0.0035 × (1 + 0.0035)³⁰⁰/[(1 + 0.0035)³⁰⁰ - 1] = $1,077.88

The monthly payment = $1,000.34 (rounded to the nearest cent)

c) To calculate the total interest paid over the life of the loan, we formula for the total interest on a fixed-rate mortgage can be used as follows;

Total interest = Monthly payment × n - P

Therefore;

Total interest = $1,077.88 × 300 - $200,000 = $123,364.

d) The monthly payment for the mortgage of $200,000 with an APR of 3.9% over 15 years can be calculated using the same formula as in part (b), as follows;

r = 3.9%/12 = 0.00325

n = 15 years × 12 months/year = 180

Therefore;

Monthly payment = $200,000 × 0.00325 × (1 + 0.00325)¹⁸⁰/[(1 + 0.00325)¹⁸⁰ - 1] ≈ $1,469.37

e) The total interest paid over the life of the loan is therefore;

Total interest = $1,469.37 × 180 - $200,000 = $64,486.6

f) The annual property tax would be 0.98% of the value of the home, which is; $250,000 × 0.98% = $2,450

The monthly property tax is therefore;

Monthly property tax = $2,450/12 ≈ $204.17

g) The monthly homeowner insurance is $1,980/12 = $165

h) The bank will typically require the borrower to set up an escrow account, which is used to pay property taxes and homeowner's insurance. The amount held in escrow will depend on the monthly property tax and homeowner's insurance payments. Assuming the monthly tax is $204 and the monthly homeowner's insurance is $165. The amount in the escrow account is therefore;

Escrow = $204.17 + $165 = $369.17

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Answer:

The solution is the point (3, -1)

Step-by-step explanation:

We have the system of equations:

x = 3

y + 1 = 0

To solve this graphically, we need to graph these two lines and see in which point the lines intersect.

To graph the line x = 3, we need to draw a vertical line that passes through x = 3.

To graph y + 1 = 0

First we should isolate y.

y = -1

This is graphed as a horizontal line that passes through y = -1

The graph of these two lines can be seen in the image below.

Where the green line is x = 3, and the blue line is y = -1

Now, looking at the graph we can see that the lines do intersect in the point (3, -1)

Then the solution of the system is the point (3, -1)

Answer:

3. Markup $3.50 Retail Price $13.50

4.)Markup $10 Retail Price $50

Answer:

3. $ Markup = $3.50

Retail Price = $13.50

4. $ Markup = $10

Retail Price = $50

Step-by-step explanation:

Turn the % markups into decimals. For 3, you would turn the % markup into 0.35 and for 4 you would turn the % markup into 0.25.

Multiply the decimals by the price. Your result for the $ markup for 3 should be $3.50 and the result for 4 should be 10.

Now add the $ markup to the original price for 3 and 4.

10 + 3.50 = $13.50

40 + 10 = $50

I hope this helped.

So the maximum number of edges in an undirected graph with 100 vertices is 4950.

In an undirected graph, each edge connects two vertices, and as such, it is counted twice, once for each vertex it connects. Therefore, the total number of edges in the graph is the sum of the degrees of all vertices, divided by 2.

In a complete graph with n vertices, every vertex is connected to every other vertex, except itself, and so the degree of each vertex is n-1 (it is connected to n-1 other vertices). Therefore, the total number of edges in the graph is:

n * (n-1) / 2

Substituting n = 100, we get:

100 * 99 / 2 = 4950

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Answer:

780 ≥ 58.53x + 566.83

Step-by-step explanation:

He has $780 that he can spend, so the total must be less than or equal to 780.

Let x = number of biking outfits.

Costs:

Bicycle: $490.50

Reflectors: 4 × $14.98 = $59.92

Gloves $16.44

Outfits: $58.53x (The cost of x outfits is 58.53x)

The total he spends is:

490.5 + 59.92 + 16.44 + 58.53x =

= 58.53x + 566.86

This total has to be less than or equal to $780.

58.53x + 566.86 ≤ 780

This can be written as

780 ≥ 58.53x + 566.83

Answer:

\(=2.73738\)

Step-by-step explanation:

\(\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:1000\)

\(\frac{5316}{1942}\)

\(\mathrm{Write\:the\:problem\:in\:long\:division\:format}\)

\(\begin{matrix}1942\overline{|\smallspace5316}\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}\)

\(\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace2.\:\:\:\:\:\:\:\:\:\:\:\\ 1942\overline{|\smallspace5316.0}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace3\emptyspace8\emptyspace8\emptyspace4}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace1\emptyspace4\emptyspace3\emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\end{matrix}\)

\(=2.73738\)

Hence, the correct answer is 2.73738

Answer:

2.7 / 2 Remainder 7, view equation below

Step-by-step explanation:

a way to finish this with the same answer:

flip 0.073 around, remove the 0's, and put it next to your 2.7 :)

hope it helps!

let me know!

Answer:

AAS

Step-by-step explanation:

Given triangles are congruent by AAS test.

Answer:

y_2 is 8 units

Step-by-step explanation:

Given that

The distance between the point is 13 units

x_1 is 5

y_1 is 3

x_2 is -7

We need to find out the y_2

So, the following formula should be used

\(d = \sqrt({x_2 - x_1})^2 + (y_2 - y_1)^2\\\\13 = \sqrt({-7-5})^2 + (y_2 - 3)^2\\\\169 = 144 + (y_2)^2 + (-3)^2 - 2(y_2) (-3)\\\\25 = (y_2)^2 + 9 - 6y_2\\\\16 = (y_2)^2 -6y_2\\\\(y_2)^2 -6y_2 - 16 = 0\\\\(y_2)^2 - 8y_2 + 2y_2 - 16 = 0\\\\y_2 (y_2 - 8) + 2(y_2 - 8) = 0\\\\y_2 = 8\)

hence, y_2 is 8 units

The truth values of the given statements in terms of q(x) are: q(0) is true, q(1) is false, q(-2) is false, and q(2) is true.

The statement q(x) is x² = 2x. Now, we will check the truth value of each statement in terms of q(x):

(i) q(0): \(0^2=2\times 0\)

   q(0): 0 = 0; so, the statement q(0) is true.

(ii) q(1): \(1^2=2\times 1\)

    q(1): 1 = 2; so, the statement q(1) is false.

(iii) q(-2): \((-2)^2=2\times (-2)\)

     q(-2): 4 = -4; so, the statement q(-2) is false.

(iv) q(2): \(2^2=2\times 2\)

     q(2): 4 = 4; so, the statement q(2) is true.

So, the truth values of the given statements in terms of q(x) are: q(0) is true, q(1) is false, q(-2) is false, and q(2) is true.

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Answer:

5/9 = 0.5

Step-by-step explanation:

hope it helps leme know if u hab doubts

Answer:

Step-by-step explanation:

\((x-3)^{2} =49\\1)x-3=7\\x=10\\2)x-3=-7\\x=-4\)

The scatter plot shows that the heating bill will be about $95 for an average monthly temperature of 40°F.

It should be noted that a scatter plot uses dots to represent values for different numeric variables. In this case, the position of each dot on the horizontal and vertical axis shows the values for an individual data point.

From the complete question, the graph attached shows that the heating bill will be about $95 for an average monthly temperature of 40°F.

In conclusion, scatter plots are used to observe the relationships between variables.

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The preparation of the stockholders' equity statement for the year ended December 31, 2021, is as follows:

Court Casuals

Statement of stockholers' equity

December 31, 2021

Common Stock                        $116,000

Additional Paid-in Capital  $5,326,000

Retained Earnings              $3,677,000

Treasury Stock                         $-2,000

Total stockholders' equity  $9,117,000

The stockholders' equity statement includes the common stock, additional paid-in capital, retained earnings, and the subtraction of the treasury stock.

Court Casuals

Stockholers' equity on January 1, 2021

Common Stock $90,000

Additional Paid-in Capital $4,100,000

Retained Earnings $3,000,000

Net income for the year, 2021, = $900,000

May 18: Cash $1,300,000 Common Stock $26,000 Additional Paid-in Capital $1,274,000 (26,000 x $50 - $26,000)

May 31: Treasury Stock $4,500 Additional Paid-in Capital $175,500 (4,500 x $40 - $4,500) Cash $180,000

Jul 1: Cash Dividend $223,000 (90,000 + 26,000 - 4,500) x $2 Dividends Payable $223,000

July 31: Dividends Payable $223,000 Cash $223,000

August 18: Cash $130,000 Treasury Stock $2,500 Additional Paid-in Capital $127,500 (2,500 x $52 - $2,500)

Statement of Retained Earnings, December 31, 2021:

Beginning balance  $3,000,000

Net income                 $900,000

Dividends                     -223,000

Ending balance        $3,677,000

Beginning balance  $90,000

May 18: Cash              26,000

Ending balance       $116,000

Beginning balance  $4,100,000

May 18: Cash              1,274,000

May 31: Cash                -175,500

August 18: Cash            127,500

Ending balance      $5,326,000

May 31: Cash                 $4,500

August 18: Cash             -2,500

Ending balance            $2,000

Thus, we can summarize from the stockholders' equity that Court Casuals has outstanding shares of 114,000 (116,000 - 2,000) at $1 par, which is the difference between the ending balances of the common stock and the treasury stock accounts, after reflecting the equity transactions for the year.

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Answer:

Step-by-step explanation:

5wx+5yz=5wx+5xy

5wx-5wx+5yz=5xy

5yz=5xy

The function that represents a shrink of the exponential growth function is 1/2 (3)x.

An exponential growth function is a type of mathematical function where the output (y) increases exponentially as the input (x) increases.

It is expressed in form f(x) = abˣ, where "a" is the initial value, "b" is the growth factor, and "x" is the time or input variable.

The value of b determines whether the function represents exponential growth or decay. If b > 1, then the function represents exponential growth, and if 0 < b < 1, then the function represents exponential decay.

Here we have

The function is shown in the graph  

As we know when base 'b' is greater than 1 then the function represents exponential growth

Hence,

The function that represents the exponential growth function f(x) = 2(3)x is f(x) = 1/2 (3)x. since 3 is greater than 3

Therefore,

The function that represents a shrink of the exponential growth function is 1/2 (3)x.

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