It's Lila's turn to host movie night, and she's picking movies to rent. Flick City Digital Movies is having a sale, so Lila rents 5 movies for a total of $24.75. Each movie costs the same amount.

The value of x in this problem is 2.

Our given algebraic equation is 2.5 ( 6x - 4 ) = 10 + 4 ( 1.5 + 0.5x) and in this, we have to find the final value of x.

Use the transposing method to isolate the variable x and then solve for it.

distribute brackets on both sides of the equation.

= 2.5*6x - 2.5*4 = 10 + 4*1.5 + 4*0.5x

= 15x - 10 = 10 + 6 + 2x

collect terms in x to the left side and numeric values to the right side.

= 15x - 2x = 10 + 6 + 10

= 13x = 26

= x = 26/13 = 2

Therefore the final value of x in this equation will be 2.

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After 16 months, Margo will pay  $74.67  interest

We know that the simple Interest Formula

I = P × r × t

Where: P = Principal Amount

I = Interest Amount

R = Rate of Interest as a percent

r = Rate of Interest in decimal

r = R/100

t = Time Periods involved

Here we have been given P = $700, t = 16 months and R = 8%

First we convert interest rate R percent to r a decimal

r = R/100

  = 0.08 per year,

Now we convert time from months to years .

16 months ÷ 12 months/year

= 1.333333 years,

Using above formula of simple interest,

I = P × r × t

I = 700 × 0.08 × 1.333333

I = $ 74.67

Hence, the simple interest accumulated on a principal of $ 700.00 at a rate of 8% per year for 16 months is $ 74.67.

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Step-by-step explanation:

2 q and 7 dimes kkkkkkkkk

Answer:

q = 2

d = 7

Step-by-step explanation:

System of Equations:

d + q = 9

10d + 25q = 120

Use Substitution:

let d = 9 - q

10(9 - q) + 25q = 120

90 - 10q + 25q = 120

15q = 30

q = 2

d = 7

The number of acres that can be planted per pound of seed is 0.16.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

32 pounds = 5-acre field

Divide 32 into both sides.

1 pound = 5/32 acre field

1 pound = 0.16 acre field

Thus,

0.16-acre field can be planted per pound of seed.

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In the late 19th century, the Russian press used the phrase 2 + 2 = 5 to describe the moral confusion of social decline at the turn of a century, because political violence characterised much of the ideological conflict among proponents of humanist democracy and defenders of tsarist autocracy in Russia

We found that translations have the following three properties: line segments are taken to line segments of the same length;

angles are taken to angles of the same measure; and. lines are taken to lines and parallel lines are taken to parallel lines.

Properties of Translations

- Distance Where the lengths of the segments stay the same.

-Angle Measures These remain the same.

-Parallelism Where the parallel lines will stay parallel.

-Collinearity The points will stay on the same line.

-Orientation The order of the letters will stay the same.

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Answer:

840

Step-by-step explanation:

7 * 6 * 5 * 4 = 840

The number of ways the student can be chosen as who goes first¸ second¸ third¸ and fourth is 840.

Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.

[tex]^nP_r = \dfrac{n!}{(n-r)!}[/tex]

where,

n is the number of choices available,

r is the choices to be made.

The number of ways the student can be chosen as who goes first¸ second¸ third¸ and fourth = ⁷P₄ = 840

Hence, The number of ways the student can be chosen as who goes first¸ second¸ third¸ and fourth is 840.

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Answer:

x=55

Step-by-step explanation:

The angles are corresponding angles and corresponding angles are equal

3x-60 = x+50

Subtract x from each side

3x-60-x = x+50-x

2x-60 =50

Add 60 to each side

2x-60+60=50+60

2x=110

Divide by 2

2x/2 =100/2

x =55

Answer:

n = 7

n = -3

Step-by-step explanation:

4n+6 = n²-15

4n = n² - 21

n² - 4n - 21 = 0

(n-7)(n+3) = 0

n = 7

n = -3

Answer:

36

Step-by-step explanation:

=4+13+19

=17+19

=36

Answer:

Pemdas

Step-by-step explanation:

24/6 = 4

39/3 = 13

4 + 13 + 19 = 36

Option (D) that is (3.5, 8.75) is the ordered pair of point S.

An ordered pair is a composite of the x coordinate (abscissa) and the y coordinate (ordinate), with two values expressed between parenthesis in a predetermined order. It aids visual comprehension by locating a point on the Cartesian plane. An ordered pair's numeric values can be integers or fractions. Two variables are frequently represented by ordered pairs. We mean x = 7 and y = -2 when we write (x, y) = (7, -2). The x-coordinate is the number that corresponds to the value of x, and the y-coordinate is the number that corresponds to the value of y.

Here,

The ordered pair of point S is option (D), which is (3.5, 8.75).

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Complete question: Pentagon OPQRS is shown on the coordinate plane below:

Pentagon OPQRS on a coordinate plane with ordered pairs at O negative 1, 2, at P negative 5, 3, at Q negative 3, negative 2, and R 2, 1, at S 2, 5.

If pentagon OPQRS is dilated by a scale factor of seven over four from the origin, to create O’P’Q’R’S’, what is the ordered pair of point S’?

The equation is (5 x 2) - (5 + 5) = 20

The given equation can be solved by performing the operations within the parentheses first.

First, 5 x 2 = 10, then 5 + 5 = 10.

Then, the next step is to subtract the second set of parentheses from the first set, 10 - 10 = 0.

Finally, we can see that 0 + 20 = 20.

In this equation, the operation of multiplication and addition are used and the final value is 20.

The equation is (5 x 2) - (5 + 5) = 20

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Complete Question is -

solve the following mathematical operation that involves parentheses, five numbers, two different operations and has a value of 20?

Answer:

x = 3.1 as a decimal or x = 28/9 as a fraction

Step-by-step explanation:

If you want to have $70,000 in 15 years, you need start saving money now in a savings account that earns 6.0% annually compounded weekly.

When you earn interest on your interest earnings as well as the money you have saved, this is known as compound interest.Compounding is effective for both promised and unguaranteed products. All or part of your money could be lost.

Use the compound interest formula and enter the figures you are familiar with. Then find a solution for the unknown number.

A = P(1 +r/n)^(nt)

where A represents the balance of the account, P represents the amount invested, r represents the yearly rate, n represents the number of times per year interest is compounded, and t is the number of years.

Filling in the given values, we have ...

70000 = P( 1 + 0.06/52)^(52*15) = P(2.4583)

P = 70000/2.4583 = 28474.96

You would need to deposit 28474.96 in order to have 70000 in 15 years.

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Answer:

Surface area of cylinder =  250.94 yd², Volume = 305.20yd³

Step-by-step explanation:

Formula for the total surface area of a cylinder is T. S. A. =2πrh+2πr²

 T. S. A. =2πrh+2πr²

π=3.14 , h=7.1, r = 3.7

T. S. A. = 2(3.14)(3.7)(7.1) + 2(3.14)(3.7)²

T. S. A. = 250.94 yd²

----------------------------------------------------------------------------------------------------------------

V=πr²h

V = (3.14) (3.7)²(7.1)

V= 305.20 yd³

Answer: , P = 2 +3g

Step-by-step explanation:

When Donovan flips a coin a total of 96 times, the number of times he should expect the coin to land on heads will be 48 times.

The times he should expect the coin to land on tail based on the table will be 27 times.

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

When Donovan flips a coin a total of 96 times, the number of times he should expect the coin to land on heads will be:

= 1/2 × 96

= 48

The number of times he should expect the coin to land on tail based on the table will be:

= 18/50 × 75

= 27 times

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Answer:

The difference is 2:1.5

Step-by-step explanation:

Answer:

To find the value of x that makes the expression (4x-6) equal to (8x-6). To do this, you can set the two expressions equal to each other and solve for x:

4x - 6 = 8x - 6

4x = 8x

4x - 8x = 0

-4x = 0

x = 0

So, the value of x that makes (4x-6) equal to (8x-6) is x=0.

Answer:

-4x = -12 Divide each side by '-4'.

Answer: [tex]219.94\ cm^2[/tex]

Step-by-step explanation:

Given

The central angle of a sector measures [tex]175^{\circ}[/tex]

The radius of the circle is [tex]r=12\ cm[/tex]

The area of the sector is given by

[tex]\Rightarrow A=\dfrac{\theta }{360^{\circ}}\pi r^2[/tex]

Insert the values

[tex]\Rightarrow A=\dfrac{175^{\circ}}{360^{\circ}}\cdot \pi \times 12^2\\\\\Rightarrow A=219.94\ cm^2[/tex]

Answer:

67

Step-by-step explanation:

The interior angles of triangles always equal 180 degrees. That means that angle R is equal to 67.

Therefore, angle U is equal to 67, as corresponding angles are the same.

Hope that this helps!

Answer: 15 and 3 can both be divided by 3 and 1

Answer:

tres y uno

Step-by-step explanation:

A person can rent any of the vehicles shown in the table for a minimum of two to three days before it becomes more expensive for a week.

Algebra state that it is the study of the laws and symbols of mathematics as well as the manipulation of these symbols.

The rent of the small car for a week is $250 and for a day is $100. Then,

The maximum number of days that a car could be rented is,

= 250÷100

= 2.5 days

≅ 3 days

Then, for the medium car is,

= 290÷110

= 2.7 days

≅ 3 days

For the luxury car is,

= 325÷120

= 2.7 days

≅ 3 days

For Small van is,

= 350÷150

= 2.3 days

≅ 2 days

For Large van is,

= 390÷170

= 2.2 days

≅ 2 days

We can conclude from the above calculations that a person can rent a car for 2-3 days before it becomes more expensive for a week.

The complete question is -

For any of the vehicles listed in the table, how many days can you rent the vehicle before it would be less expensive to rent for the week?

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Statement A,B is true rest all statement are false about the given function.

Given the function: [tex]2x^3+8[/tex]

Statement A:

The domain of a function is the set of all possible input values (x-values) for which the function produces a valid output (y-value).

For the function 2x^3 + 8, the domain is all real numbers, which is represented as (-infinity, +infinity).

It is because the expression inside the function, 2x^3, is defined for all real numbers.

so above statement is true.

Statement B:

statement A and B are same so it's also true.

Statement C:

The range of a function is the set of all possible output values (y-values) that the function can produce.

For the function 2x^3 + 8, the range is also all real numbers (-infinity, +infinity)

It is because the function is a polynomial of odd degree (3) and it does not have any restriction on the output value. Since the function does not have any restriction, it can take any real number as an output value and thus the range is all real numbers.

so this statement is false.

Statement D:

The y-intercept of the function 2x^3 + 8 is 8. It is the point at which the graph of the function crosses the y-axis, which occurs when x = 0. So when x = 0, y = 2(0)^3 + 8 = 8.

so this statement if false.

Statement E:

A function has a center of symmetry if it is unchanged (i.e. is symmetric) when reflected across a line or point. The line or point across which the function is symmetric is called the axis of symmetry or center of symmetry.

The function 2x^3 + 8 does not have a center of symmetry. It is because the function is a polynomial of odd degree and it does not have any symmetry. The polynomials of odd degree are not symmetric about any point or line.

So this statement is also false.

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The three steps which Patel could use to solve the quadratic equation include the following:

A. 8(x² + 2x + (2/2)²) = -3 + 8.

B. x = -1 ±√5/8

E. 8(x² + 2x) = -3.

In order to solve the given quadratic equation, we would use the completing the square method as follows;

Separating the variables in the quadratic equation from constant, we have the following;

8x² + 16x + 3 = 0

8x² + 16x = -3

By factorizing the common variables in the quadratic equation from constant, we have the following;

8(x² + 2x) = -3 (step 1).

By completing the squares in the brackets and then balancing the expression on the right-hand side, we have the following;

8(x² + 2x + (2/2)²) = -3 + 8 (step 2).

8(x² + 2x + 1) = -3 + 8

8(x + 1)² = 5

Dividing both sides of the quadratic equation by 8, we have the following;

(x + 1)² = 5

Taking the square root of both sides of the quadratic equation, we have the following;

(x + 1) = ±√5/8

x = -1 ±√5/8 (step 3).

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Answer:

19a - 6

Step-by-step explanation:

Answer:

4a + 3 ( 5a - 2 )

= 4a + [ 3 ( 5a - 2 ) ]

= 4a + [ 15a - 6 ]

= 4a + 15a - 6

= 19a -6

Answer:

$40

Step-by-step explanation:

36 dollars. bc if its 30 percent then its less than half:)