Find the value of x

X=

The length and width of the rectangle are 14 cm and 11 cm respectively

Perimeter is the distance around the edge of a shape. Learn how to find the perimeter by adding up the side lengths of various shapes.

The perimeter of a rectangle = l+l+w+w = 2(l+w)

represent the length by x and width by y

x = 3+y

p = 2(x+y)

represent 3+y for x

50 = 2( 3+y+y)

50 = 2( 3+2y)

50 = 6 +4y

4y = 50-6

4y = 44

divide both sides by 4

y = 44/4

y = 11 cm

x = 3+y

x = 3+11

x = 14

therefore the length and width in cm of the rectangle are 14 and 11 respectively

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-2x - 4 is not greater than 14

Step-by-step explanation:

I don't understand the question but I hope this helps

(-2 × X) + (-2 × 2)

The number of different types of movies that Lavar can buy according to the inequality m > 15 is action and comedy.

What is meant by inequality?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign" to indicate that two values are not equal. However several inequalities are utilised to compare the numbers, whether it is less than or higher than. An inequality symbol has non-equal expressions on both sides. It indicates that the expression on the left should be bigger or smaller than the expression on the right, or vice versa. Literal inequalities are relationships between two algebraic expressions that are expressed using inequality symbols.

The complete question is given below.

The inequality to be used is m > 15.

Now we will look into each genre to select which movies he could buy.

There are 18 action movies.

m = 18 > 15.

There are 18 comedy movies as well.

m = 18 > 15

There are 12 drama movies.

but m = 12< 15

There are 15 thriller movies.

But the given inequality allows only categories with a number of movies greater than 15 and not equal to 15.

Therefore the number of different types of movies that Lavar can buy according to the inequality m > 15 is action and comedy.

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10 3/8. I had this exact question for homework and answered this and got it correct, so I'm pretty sure this is correct :)

a) The finance charge for the financing of the company airplane priced at $250,000 with 15% down payment is $66,308.

b) The monthly payments Vista's aircraft loan are $4,646.80.

The finance charge and the monthly payments can be determined using an online finance calculator as follows:

The finance charge represents the total interest and other fees that the financier charges for the loan.

The monthly payments are the periodic payments that must be made to settle the loan and compounded interest with the installment period of 60 months.

Company Airplane Price = $250,000

Down Payment = 15%

Loan Term = 60 months (5 years x 12)

Interest Rate = 11.25%

Results:  

Monthly Payment (PMT):  $4,646.80

House Price = $250,000

Down Payment = $37,500 ($250,000 X 15%)

Loan Amount = $212,500 ($250,000 - $37,500)

Total of 60 Mortgage Payments = $278,808

Total Interest (Finance Charge) = $66,308 ($278,808 - $212,500)

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The equations that gives true value for x = -2 and x = 2 are option A: x² - 4 = 0 and option D: 4x² = 16.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The equations that are true for x = -2 and x = 2 are -

x² - 4 = 0 (when x = -2, this becomes 4 - 4 = 0; when x = 2, this becomes 4 - 4 = 0)

4x² = 16 (when x = -2, this becomes 4(4) = 16; when x = 2, this becomes 4(4) = 16)

The other options are not true for x = -2 and x = 2.

Specifically -

x² = -4 is not true for any real value of x, since the square of any real number is always non-negative.

3x² + 12 = 0 is not true for x = -2 or x = 2, since plugging in these values gives 12 ≠ 0.

2(x - 2)² = 0 is only true for x = 2, but not for x = -2, since plugging in x = -2 gives 2(16) ≠ 0.

Therefore, the options x² - 4 = 0 and 4x² = 16 are the correct ones.

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The answer of the given question based on  regular octagon ,the area of the regular octagon with center O is approximately 232.98 square units.

Area is  measure of  amount of space inside  2-dimensional figure or shape, usually measured in square units like square centimeters or square meters. It is calculated by multiplying  length and  width of the figure or a shape.

To find the area of a regular octagon, we need to use the following formula:

A = 2(1 + √2) × s²

Since O is the center of the octagon, we can draw lines from O to each vertex of the octagon. This will divide the octagon into 8 congruent isosceles triangles.

Let's call the length of each side of the octagon "s". Then the base of each triangle will also be "s". We can use the Pythagorean theorem to find the length of the other sides of the triangle:

s²+ s² = (2s)²/2

2s² = 4s² - 4s²/2

2s² = 2s²/2

s² = s²/2

s = √2s/2

Now we can substitute this value of s into the formula for the area of the octagon:

A = 2(1 + √2) × s²

A = 2(1 + √2) × (√2s/2)²

A = 2(1 + √2) × 2s²/4

A = (1 + √2) × s²/2

A = (1 + √2) × (17/2)²/2

A ≈ 232.98 square units

Therefore, the area of the regular octagon with centre O is approximately 232.98 square units.

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The equations that have the same value of x as the given equation are:

18x - 9 = 72

3(6x - 3) = 72

x = 4.5

The correct options are the third, fourth, and fifth options

From the question, we are to determine the equations that have the same value of x as the given equation

To solve the given equation, we can begin by simplifying it:

3/5 (30 x - 15) = 72

Multiplying both sides by 5/3, we get:

30 x - 15 = 120

Adding 15 to both sides, we get:

30 x = 135

Dividing both sides by 30, we get:

x = 4.5

Now, to check which equations have the same value of x as the above result, we can substitute x = 4.5 in each option and see which ones result in a true statement.

Substituting x = 4.5, we get:

18(4.5) - 15 = 72

81 - 15 = 72

This is not a true statement, so this option is not correct.

Substituting x = 4.5, we get:

50(4.5) - 25 = 72

225 - 25 = 72

This is not a true statement, so this option is not correct.

Substituting x = 4.5, we get:

18(4.5) - 9 = 72

81 - 9 = 72

This is a true statement, so this option is correct.

Substituting x = 4.5, we get:

3(6(4.5) - 3) = 72

3(24) = 72

This is a true statement, so this option is correct.

4.5 = 4.5

This is a true statement, so this option is correct.

Hence, the equations are:

18x - 9 = 72

3(6x - 3) = 72

x = 4.5

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Answer:

3.3.1 Approximations for trigonometric functions. 3.3.2 ... 7.2.1 Consistency for three simultaneous linear equations in two unknowns ... x : y : z =5:4:3;.

Olivia will need at least 11 months to reach her savings goal.

What is algebra ?

Algebra is a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols. It involves the use of letters and symbols to represent values and quantities in mathematical equations and formulas. Algebra is used to solve problems that involve unknown quantities by using rules and operations to manipulate the symbols representing those quantities.

Let's use algebra to solve this problem. Let "m" be the number of months it will take for Olivia to reach her goal of saving at least $7,500.

In one month, Olivia will deposit $650, so after "m" months, she will have deposited:

650m

In addition to this, Olivia already has a balance of $400, so her total savings after "m" months will be:

650m + 400

We want to find how many months "m" it will take for Olivia to save at least $7,500. So we can set up the following inequality:

650m + 400 >= 7,500

Subtracting 400 from both sides:

650m >= 7,100

Dividing both sides by 650:

m >= 10.92

Since we can't have a fraction of a month, we'll round up to the next whole number. Therefore, Olivia will need at least 11 months to save at least $7,500.

Therefore, Olivia will need at least 11 months to reach her savings goal.

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Therefore , the solution of the given problem of ratio comes out to be 1:3 is the decreased loss-to-games-played ratio.

A collection of integers "a" as well as "b" that seem to be equal can be defined using the straightforward fraction calculation "a / b," at which "b" may be larger than zero. A ratio is created by combining two ratios. The ration would be 1:1 if there were just one male and three women. There are 1/4 guys and 3/4 women in the group. Portions can be a divide between different things, a number, or a specific portion of the volume of a component.

Here,

In events played, win:

Out of the 12 games contested, 8 were victories. We can split the numerator and denominator by 4 to decrease the ratio:

=> 8/12 = 2/3

The decreased win-to-games-played ratio is 2:3.

win to loss ratio

If a squad has 8 victories, they have 4 defeats (since they have played 12 games in total). As a result, the winning/losing split is as follows:

8:4, which is further diminished by multiplying the number and denominator by 4:

=> 2:1

The decreased win-to-loss ratio is 2:1.

Played events lost:

If a squad has 4 losses and has played a total of 12 games, the ratio of losses to games played is as follows:

=> 4/12 = 1/3

=> 1:3 is the decreased loss-to-games-played ratio.

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The scale factor of the dilation for the rectangle ABCD is found as 3.

The ratio of the scale of an original thing to a new object that is a representation of it but of a varying design is known as a scale factor (bigger or smaller).

The rectangle A'B'C'D' is created by dilation of rectangle ABCD.

We shall calculate the ratio of the rectangle's lengths in order to get the scale factor.

A:(1,5) and B:(4,5).

Length of side AB = 4 - 1 = 3

And,

A':(3,15) and B': (12,15).

Length of the side A'B' = 12-3 = 9

Ratio of the sides

AB : A'B' = 3 : 9

AB : A'B' = 1 : 3.

Thus, the scale factor of the dilation for the rectangle ABCD is found as 3.

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Answer:

Shirt = $20
Sweater = 30

Step-by-step explanation:

3sh + 2sw = 120

2sh + 4sw = 160

Multiply (3sh + 2sw = 120) by -2
-6sh + -4sw = -240  -> -6sh -4sw = -240
Add the two equations -6sh -4sw = -240 and 2sh + 4sw = 160 together. -4sh = -80
Shirt = 20
Substitude in 20
3 x 20 = 60 120 - 60 = 60 60/2=30

The number of hours till Ed and Julie were 875 miles apart was 7 hours.

Since Ed and Julie are traveling in opposite directions, we can think of their distances from Good Life City as two separate distances that are adding up to their total distance apart.

For Ed, his distance from Good Life City is:

= 60 t

For Julie :

=  65t

We want to know how many hours it took for their total distance to be 875 miles. So we can set up the equation:

875 = 60t + 65t

Simplifying, we get:

875 = 125t

t = 875 /  125

t = 7 hours

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Answer: 48

Step-by-step explanation: 9p p=4 9*4=36 +18 = 48

The diagram shows the quantity x is 13.

A tape diagram, also known as a bar model or a strip diagram, is a visual representation of a problem or situation that helps students to organize and solve mathematical problems. It involves drawing a rectangular strip or bar to represent a quantity or a value, and then dividing or labeling the strip to represent different parts of the problem.

The full completed question is related to an equation as shown in the below diagram (Check it).

Given equation is x+4 = 17

If we select part 'a' the diagram is shown in the below diagram, see it.

For part 'b' the quantity x can be represent by:

x+4 = 17

x = 17 - 4

x = 13

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Answer: To find the monthly payment for each option, we can use the following formula:

Monthly Payment = Total Cost * (Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

For the option to finance at the store for 2 years at 14% interest:

Total Cost = $2,000

Monthly Interest Rate = 14% / 12 = 0.011667

Number of Months = 2 years x 12 months/year = 24 months

Substituting these values into the formula, we get:

Monthly Payment = $2,000 * 0.011667 / (1 - (1 + 0.011667)^(-24)) = $95.13

Therefore, the monthly payment for financing at the store for 2 years at 14% interest is $95.13.

For the option to use his credit card at 21% interest for 1 year:

Total Cost = $2,000

Monthly Interest Rate = 21% / 12 = 0.0175

Number of Months = 1 year x 12 months/year = 12 months

Substituting these values into the formula, we get:

Monthly Payment = $2,000 * 0.0175 / (1 - (1 + 0.0175)^(-12)) = $185.44

Therefore, the monthly payment for using his credit card at 21% interest for 1 year is $185.44.

To find the total repayment for each option, we can multiply the monthly payment by the number of months:

For the option to finance at the store for 2 years at 14% interest:

Total Repayment = $95.13/month x 24 months = $2,283.12

Therefore, the total repayment for financing at the store for 2 years at 14% interest is $2,283.12.

For the option to use his credit card at 21% interest for 1 year:

Total Repayment = $185.44/month x 12 months = $2,225.28

Therefore, the total repayment for using his credit card at 21% interest for 1 year is $2,225.28.

Step-by-step explanation:

According to the graphs, the most accurate conclusion is that a person who moved from Spain to Australia in 2010 would probably be alarmed by the high prices of homes in Australia (option A).

To select an appropriate conclusion that matches the information in the graphs we must carefully analyze the information in the graphs. Additionally, we can read each of the options and check them with the trends shown in the graphs.

In accordance with the above procedure, we can infer that the most accurate conclusion is that a person who moved from Spain to Australia in 2010 would probably be alarmed by the high prices of homes in Australia because the Residential real estate graph shows that In 2010 housing was more expensive in Australia than in Spain.

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To determine whether the function f(x) = (x^2-2x-3)/(x^2+3x+2) has any holes, we can factor the numerator and denominator and simplify the expression. The numerator can be factored as:

x^2 - 2x - 3 = (x - 3)(x + 1)

And the denominator can be factored as:

x^2 + 3x + 2 = (x + 1)(x + 2)

Therefore, we can simplify the function as:

f(x) = [(x - 3)(x + 1)]/[(x + 1)(x + 2)]

The factor of (x + 1) appears in both the numerator and denominator, so we can simplify further by canceling it out:

f(x) = (x - 3)/(x + 2)

Since (x + 1) was canceled out, we have a hole in the graph of the original function at x = -1. To find the coordinates of the hole, we can evaluate the simplified function at x = -1:

f(-1) = (-1 - 3)/(-1 + 2) = -4

Therefore, the hole in the graph of the original function is located at the point (-1, -4).

1. The finance charge on the loan is $9,920.

2. The total deferred payment price of the airplane is $39,120.

To find the finance charge on the loan, we need to first determine the amount financed. George Bell made a 15% down payment on the airplane, so the amount financed is:

= $29,200 - (0.15)($29,200)

= $29,200 - $4,380

= $24,820

The total amount of payments made over the life of the loan is:

= $579/month x 60 months

= $34,740

The finance charge on the loan is:

= $34,740 - $24,820

= $9,920.

The total deferred payment price of the airplane is the sum of the down payment and the total amount of payments made over the life of the loan. The down payment is 15% of the purchase price which is:

= 0.15 * $29,200

= $4,380

The total amount of payments made over the life of the loan is:

= $579/month * 60 months

= $34,740

The total deferred payment price of the airplane is:

= $4,380 + $34,740

= $39,120.

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Answer: 3

Step-by-step explanation:

By answering the above question, we may infer that As a result, (x, y) = is the answer to the system of equation (3, 0).

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

The equations in the system are:

x + 2y = 3 ... (1)

x - 3y = 3 ... (2)

We may use equation (2) to solve for x in terms of y:

x = 3 + 3y

If this value of x is substituted into equation (1), the result is:

(3 + 3y) + 2y = 3

If we simplify this equation, we get:

5y = 0

Hence, y = 0. Inputting y = 0 into the equation we found for x results in:

x = 3 + 3(0) = 3

As a result, (x, y) = is the answer to the system of equations (3, 0).

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hi

here is the answer

i hope it helps

good luck:))

The value of n for the equation (1/36)n= 216 is -1.5.

The following equation is solved by the use of exponent power rule.

The step by step explanation is given below:

convert the fraction into negative exponential form,

(36∧-1)n=216

simplify using the exponent power rule,

(a∧n)∧m = a∧n×m

Covert both sides of the equation in terms with the same base,

(6 ∧2)∧-n = 6 ∧3

Simplify the equation ,

6∧2.-n = 6∧3

Corresponding exponents are equal to ,

-2n = 3

Divide both side of the equation by 2 ,

-n= 3/2

n= - 3/2.

Therefore n = -1.5.

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Answer:

To divide by a fraction, we can multiply by its reciprocal.

So,

4/9 /8 = 4/9 x 1/8 = 4/72 = 1/18

Answer:

30

Step-by-step explanation:

You divide the number so 10 by 9 giving you the 1% of it and then you times that number by 27 to get 27%.

Answer:

30

Step-by-step explanation:

9%*3=27%

10*3=30

or more simply what you do to one you have to do to the other.

The vertex of the function is,

⇒ Vertex = (1, - 4)

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The function is,

⇒ f (x) = -x² + 2x - 5

Now,

We can change the quadratic function in the form,

⇒ f (x) = a (x - h)² + k

Hence, We get;

⇒ f (x) = - x² + 2x - 5

⇒ f (x) = - (x² - 2x + 1 - 1) - 5

⇒ f (x) = - (x - 1)² + 1 - 5

⇒ f (x) = - (x - 1)² - 4

Thus, The vertex of the function is,

⇒ Vertex = (1, - 4)

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Answer:

46

Step-by-step explanation:

27+4*5+8-7-2=

27+20+8-7-2=

47+8-7-2=

55-7-2=

48-2=

46

Answer:

64%

Step-by-step explanation:

Convert a fraction to a decimal and move the decimal point to make a percent

The value of x, given the sides in the right - angled triangle, would be 31. 8 °.

We are given side that is opposite the angle, and we are also given the hypotenuse.

This means that we can use the operation of Sin which is :

Sin ( angle ) = Opposite / Hypotenuse

Opposite = 10 units

Hypotenuse = 19 units

The value of x is :

Sin ( x ) = 10 / 19

Sin ( x ) = 0. 5263

x = Sin ⁻ ⁵ ( 0. 5663 )

x = 31. 8 °

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