A rectangle has a width (3x-2) and a length of (5x). The rectangle has the same perimeter as a square with a perimeter of 44 units.
Find the value of x.

The expression of the phrase " Nine increased by twice a number " is 2n + 9

The given phrase is

Nine increased by twice a number

We have to convert the the phrase to the expression

The expression is the mathematical statement that consist of different variables, numbers and mathematical operators. The mathematical operators are addition, subtraction, division and multiplication. The equal sign and inequality will not be the part of expression.

Consider the number as n

Twice the number = 2n

nine increased by twice a number = 2n + 9

Hence, the expression of the phrase " Nine increased by twice a number " is 2n + 9

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The 80,000 BD Villa in Saar Mr. Abbas plans to sell at a 40% profit , with the annual house price growth rate of 7% (compounded) gives the number of years Mr. Abbas has to wait as approximately 5 years

The growth rate is the rate at which the value changes within a specified period.  

The amount Mr. Abbas bought the Villar in Saar = 80,000 BD

The profit at which he intends to sell it = 40% = 0.4

The rate at which the house prices rise on average = 7 % per annum

The formula for future value, FV is presented as follows;

[tex]FV = PV\cdot \left(1+\dfrac{r}{100} \right)^n[/tex]

Where;

FV = The future value = 80,000 BD + 0.4 × 80,000 BD = 112,000 BD

PV = The present value = 80,000 BD

r = The rate at which the house prices increases annually

n = The number of years

Which gives;

[tex]112,000 = 80,000\cdot \left(1+\dfrac{7}{100} \right)^n[/tex]

[tex]n = \dfrac{ln\left(\dfrac{112,000 }{80,000}\right) }{ln\left(1+\dfrac{7}{100} \right) } \approx 5[/tex]

The number of years Mr. Abbas has to to wait, n ≈ 5 years

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He got 11 vacation days in five years.  If his annual salary is $64,480 he earned during his vacation days $2277

The average nationwide is 10, however it varies a little by industry and area. These days off—generally regarded as vacation time—usually get longer the longer an employee works. For the majority of businesses, an employee can receive an additional three to four days per year every five years based on longevity.

The normal recommendation is to wait three to six months. However, the organization and its culture have a big impact. He continued by saying that many businesses make it very clear what their vacation policy is. Some employers allow you to accumulate additional vacation time the longer you work

64,480/12 =5373.33

5373.33/26 = 207

207 x 11 =2277

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He got 11 vacation days in five years.  If his annual salary is $64,480 he earned during his vacation days $2277

The average across the country is 10, but it varies slightly by region and industry. The length of these vacation days typically increases with an employee's length of service. Based on longevity, most companies allow employees to get an extra three to four days per year every five years.

The usual advice is to hold off for three to six months. The organization and its culture, however, play a significant role. He went on to remark that a lot of companies are quite explicit about their vacation policies. The longer you work for some employers, the more vacation time you can accrue.

64,480/12 =5373.33

5373.33/26 = 207

207 x 11 =2277

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The types of correlation seen between positive correlation, negative correlation, or no correlation, in the variables is:

One of the main sources of funding for school districts is the property tax charged. This means that increased property taxes will lead to more money being available for teacher salaries which might then increase. There is therefore a positive correlation between the two.

The same is true for the weight of a person and shoe size. This is because the heavier a person is, the larger their shoe size according to research.

There is however no correlation between the height of a person and their attendance of religious services.

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Answer:

M'(-3, -4)

Step-by-step explanation:

the coordinate rules for a rotation of 180 degrees is (x, y) --> (-x, -y)

Basically, you just change both values (x and y) of M to negative. Then bam, u got the coordinates for M'

The distance between the eyes and the distance to the image of the toes will be 273.80 cm.

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.

According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Given that It is 163 cm from your eyes to your toes. You're standing 220 cm in front of a tall mirror.

The distance between the image of toes and eyes will be calculated as,

H² = P² + B²

H= √(P² + B²)

H = √(163² + 220²)

H = √(26569+48400)

H = √74969

H = 273.80 cm

Therefore, the distance between the eyes and the distance to the image of the toes will be 273.80 cm.

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Answer:

76%

Step-by-step explanation:

100%-24%=76%

The amount John will spend on food for each cow per month is approximately 15.08 dollars

John is in charge of feeding the pigs and cows on the farm.

The cow's food costs twice as much as the pig's food.

Let

x = cost of pigs food

y = cost cow's food

Hence,

y = 2x

There are 46 cows and 22 pigs on the farm. John has an $860 budget for food a month.

46y + 22x = 860

Therefore, let's combine the system of equation.

y = 2x

46y + 22x = 860

46(2x) + 22x = 860

92x + 22x = 860

114x = 860

x = 860 / 114

x = 7.5 dollars

y = 2(7.54) = 15.08 dollars

Therefore, the cost of food for each cow is 15.08 dollars

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The value of the expression 2 x 4² + 5 will be 37

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given is the following expression -

2 x 4² + 5

On solving the expression, we get -

2 x 4² + 5

2 x 4 x 4 + 5

32 + 5

37

The value of the expression 2 x 4² + 5 will be 37

Therefore, the value of the expression 2 x 4² + 5 will be 37

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Answer:

[tex]f^{-1}(y) = \sqrt{x-5}[/tex]

Step-by-step explanation:

You have to switch the f(x) to x and the x's to y's

[tex]x = y^2 + 5[/tex]

[tex]\sqrt{x-5} = \sqrt{y^2}[/tex]

[tex]y = \sqrt{x - 5}[/tex]

Answer:13

Step-by-step explanation:

g(1)=2(1)^2-1= 1

g(6)=2(6)^2-6=66

66-1/6-1=13

Answer:

Step-by-step explanation:

She needs to sell 65 necklaces.

Answer:

1. reflection

2.translation

3.rotation

4.translation

5.translation

6.reflection

7.rotation

8.reflection

Hope this helps

have a good day

God bless you!

Answer: first graph

Step-by-step explanation:

Nice work on selecting "invalid" as the correct answer.

The reason why this argument is invalid is because the 'x' could be in circle B or could be outside circle B. There's simply not enough information.

The venn diagram would either be (A) or (D).

The only information we know is that Fred is does not live in San Francisco, so the 'x' will not be placed inside circle A.

Ignore any diagram where x is on the edge of a circle. That isn't allowed in venn diagrams because a person is either in San Francisco, or they aren't (same goes with California). We can't have blurry boundaries like that. This means venn diagrams (B) and (C) are nonsensical.

the upper 40 percent round answers to 1 decimal place is 113.1

mean( [tex]\mu\\[/tex]) = 117 mg/dL

S.D.(σ) = 15.2 mg/dL

The r code which is used to get 40th percentile in qnorm(0.4,117, 15.2 ) = 113.1

What is mean?

Mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations), the geometric mean, and the harmonic mean.

What do you mean by geometric mean?

Geometric Mean (GM) is the average value or mean which signifies the central tendency of the set of numbers by finding the product of their values.

What do you mean by arithmetic mean?

The quantity obtained by summing two or more numbers or variables and then dividing by the number of numbers or variables.

What do you mean byharmonic mean?

The harmonic mean is the reciprocal of the arithmetic mean of the reciprocals.

What do you mean by Standard Deviation?

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

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Answer:

x intercepts= (6,0)

y intercepts= (0,-6)

Step-by-step explanation:

I graphed the points.

Answer:

  6922 TV sets

Step-by-step explanation:

You want the production in the 15th year if production in the first year is 1000 and it increases yearly by a constant amount. The total production in the first 10 years is 29035.

An arithmetic series is one that has a constant difference from one term to the next. If a1 is the first term of the series, and d is the common difference between terms, the n-th term is ...

  an = a1 +d(n -1)

And the sum of n terms is ...

  Sn = (2a1 +d(n-1))(n/2)

To find the 15th term, we can make use of the given values to find the common difference, then use the formula for the n-th term.

  S10 = (2(1000) +d(10 -1))(10/2) . . . . . sum formula with a1=1000

  29035 = 10000 +45d . . . . . . . . . . . simplified

  d = (29035 -10000)/45 = 423 . . . . the increase in production each year

Production in the 15th year is ...

  a15 = 1000 +423(15 -1) = 1000 + 5922 = 6922

The output in the 15th year was 6922 TV sets.

Answer:

[tex]y-8=4(x+3)[/tex]

Step-by-step explanation:

The equation of the line passing through the point [tex](x_1, y_1)[/tex] and slope [tex]m[/tex] is [tex]y-y_1=m(x-x_1)[/tex].

Answer:

Gerald received the higher rate of increase

Step-by-step explanation:

Answer:Say w= the amount of water in oz, then the 60% of the solution is 250 - w

Set up the equation:

Use distributive property first

0.60(250-w) = 0.15 x 250

Isolate to solve for w

150- 0.60w= 37.5

-0.60w= 37.5-150

0.60w= -112.5

w= 187.5 ounces

250-187.5= 62.5 ounces salt solution



Therefore, she must use 187.5 ounces of water and 62.5 ounces of salt solution for her experiment.

Hope this helps!

Step-by-step explanation:

The number of people that are seated in the buses is 425

From the information, there are 5 buses and there are 85 people in each. Therefore, the total number of people will be:

= 85 × 5.

= 425

Since 3/5 of those people are seated, the number of people seated will be:

= Fraction of those seated × Total number of people.

= 3/5 × 425

= 255

Therefore, there are 255 people.

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The bookcases that Deion will be able to paint is 16.

It should be noted that a fraction is a part of a whole number that has a numerator and denominator.

In this case, Deion has 3 1/5 gallons of paint and all of the bookcases are the same size and each requires 1/5 gallon of paint.

The number of bookcase needed will be:

= Total gallons / Gallons for each

= 3 1/5 ÷ 1/5

= 16/5 ÷ 1/5

= 16/5 × 5/1

= 16

He can paint 16 cases.

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The correct option; B. Two irrational numbers, are the two roots found for the given quadratic equation.

For the given question;

The quadratic equation is give as;

x² + 5x + 3 = 0

discriminant D = b² -  4ac

b = 5, a = 1 and c = 3

D = 25 - 4(1)(3)

D = 25 - 12

D = 13

√D = √13

As, number is real, there will be two real roots.

As, root of discriminant √D = √13 is a irrational number, the solutions of the given quadratic equation will be two irrational number.

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Answer:

Step-by-step explanation:

32/3

Step-by-step explanation:

5 = 3(x-9)

5 = 3x - 27

5 + 27 = 3x

32 = 3x

x = 32/3

The total amount of interest and the final debt owed under the US Rule is $191.09.

Given that,

Comet Lee took out a $16,000 loan with a 90-day, 6% note. Comet settled the note for $2,000 after 20 days. Comet settled the note for $4,000 on day 50.

We have to find what is the total amount of interest and the final debt owed under the US Rule.

First,

To calculate $2000 per 20 days.

We know that,

i=p×r×t

Here,

i is interest.

p is principal amount.

r is rate of interest

t is time.

So, p is $1600

r is 6%

t is 20 days is 20/360

So,

i= 1600×0.06×20/360

i= $53.33

Apply partial payment to interest due,

$2000-$53.33= $1946.67

Next,

Subtract remainder of payment from principal is adjusted balance

Adjusted balance =$16000-$1946.67

Adjusted balance =$14053.33

Now, Second,

To calculate $4000 per 50 days.

We know that,

i=p×r×t

So, p is $14053.33

r is 6%

t is 50 days is 30/360

So,

i= 14053.33×0.06×30/360

i= $70.27

Apply partial payment to interest due,

$4000-$70.27= $3929.73

Next,

Subtract remainder of payment from principal is adjusted balance

Adjusted balance =$14053.33-$3929.73

Adjusted balance =$10123.6

Now, for 40 days

i= 10123.6×0.06×40/360

i= $67.49

So, balance is 10123.6+67.49= $10191.09

When max make two makes partial payments,

The total interest is $53.33+$70.27+$67.49= $191.09

Therefore, the total amount of interest and the final debt owed under the US Rule is $191.09.

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Answer:

Step-by-step explanation:

(8 x 100000) + (0 x 10000) + (4 x 1000) + (0 x 100) + (8 x 10) + (2 x 1) = 804082

y = -2x is line parallel to given line.

What is line?

A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that are endlessly stretched in the opposing directions.

Main body:

The slope-intercept form is

y=mx+b, where

m is the slope and b is the y-intercept.

y=mx+b

Using the slope-intercept form, the slope is −2.

m=−2

To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.

Use the slope −2 and a given point (0,0) to substitute for

x₁ and y₁ in the point-slope form

y−y₁=m(x−x₁)

, which is derived from the slope equation

m=(y₂−y₁)/(x₂−x₁).

y−(0)=−2*(x−(0))

Simplify the equation and keep it in point-slope form.

y+0=−2⋅(x+0)

Solve for y.

y=−2x

Hence y = -2x is line parallel to given line.

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The percentage of people over speeding on this road on purpose is 9%

Percent of people speeding on this road noticed the sign = Percentage of people who notice the speed limit at the beginning of the road - Percentage of people who notice the sign and follow the speed limit

= 84% - 75%

= 9%

In conclusion, the percentage of people who intentionally speed on purpose is 9%

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