How many 5-minute calls can you make if your phone plan gives you 200 minutes per month?

Answer:

x=5526

Step-by-step explanation:

8597-x=7429-4358

Combine like terms

8597-x=3071

Group all constants on the right side of the equation

8597-x=3071

Subtract 8597 from both sides

(8597- x )-8597=3071-8597

Group like terms

-x+(8597-8597)=3071-8597

Simplify the arithmetic

-x=3071-8597

Simplify the arithmetic

-x=-5526

Isolate the x

-x=-5526

Multiply both sides by-1

-X x -1=-5526 x -1               the small x is for multiplication

Remove the one(s)

X=-5526 x -1

Simplify the arithmetic

x=5526

Answer:

3.5

Step-by-step explanation:

24=0=2×3×2×7

24=6×14=0

24=84 =0

24÷84=3.5

Answer: Tamiya watched \(\dfrac16\) of the movie at night.

Step-by-step explanation:

Let x = part of movie watched at night.

Given  : Tanya watched \(\dfrac12\) of movie in the morning.

Part left to watch = \(\dfrac13\)

As per given, we have

\(\dfrac12+x+\dfrac13=1\\\\\Rightarrow\ x=1-\dfrac13-\dfrac12\\\\\Rightarrow\ x=\dfrac{6-2-3}{6}\\\\\Rightarrow\ x=\dfrac16\)

Hence, Tamiya watched \(\dfrac16\) of the movie at night.

Answer:

-5

Step-by-step explanation:

y2-y1/x2-x1

0-5/4-3

-5/1

Answer:

Step-by-step explanation:

A rational number is a number that can be written in the form of p/q where q is not equal to zero.

The decimals that are rational numbers are:

1(1/3)

72/100

5/9

Options A, D, and F are the correct answer.

A rational number is a number that can be written in the form of p/q where q is not equal to zero.

We have,

A) 1(1/3)

= 4/3

= 1.33333

This is a recurring non-terminating number so it is a rational number.

B) 8/526

= 0.015209

This is a non-terminating non-recurring number so it is not a rational number.

C) 0.212212221...

This is a non-terminating non-recurring number so it is not a rational number.

D) 72/100

= 0.72

This is a terminating number so it is a rational number.

E) π

= 22/7

= 3.142857...

This is a non-terminating non-recurring number so it is not a rational number.

F) 5/9

= 0.55555...

This is a recurring non-terminating number so it is a rational number.

Thus,

The decimals that are rational numbers are:

1(1/3)

72/100

5/9

Options A, D, and F are the correct answer.

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All the decimal numbers that are rational numbers are;

A. 1 1/3

D. 72/100

F. 5/9

Options A, D, and F are true.

What is rational number?

A rational number is a number that can be written in the form of p/q where q is not equal to zero.

Given that;

The numbers are;

A. 1 1/3

B. 8 / 526

C. 0.212212221....

D. 72 / 100

E. π

F. 5 / 9

Now,

Solve the numbers as;

A) 1(1/3) = 4/3

           = 1.33333

Thus, This is a recurring non-terminating number so it is a rational number.

B) 8/526 = 0.015209

Thus, This is a non-terminating non-recurring number so it is not a rational number.

C) 0.212212221...

Clearly,  This is a non-terminating non-recurring number so it is not a rational number.

D) 72/100 = 0.72

Thus, This is a terminating number so it is a rational number.

E) π = 22/7

      = 3.14285...

Thus, This is a non-terminating non-recurring number so it is not a rational number.

F) 5/9 = 0.55555...

Thus, This is a recurring non-terminating number so it is a rational number.

Therefore, All the decimal numbers that are rational numbers are;

A. 1 1/3

D. 72/100

F. 5/9

Options A, D, and F are true.

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Answer:

\(s=-9\pm8\sqrt{2}\)

Step-by-step explanation:

\(s^2+18s=47\\\\s^2+18s-47=0\\\\s=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\s=\frac{-18\pm\sqrt{(18)^2-4(1)(-47)}}{2(1)}\\ \\s=\frac{-18\pm\sqrt{324+188}}{2}\\\\s=\frac{-18\pm\sqrt{512}}{2}\\\\s=\frac{-18\pm16\sqrt{2}}{2}\\ \\s=-9\pm8\sqrt{2}\)

This is all assuming that your problem is a quadratic equation

Step-by-step explanation:

also provide box plot..

Answer:

24+48+10+14+4=100

10+4=14

14/100, or 7/50 chance

Step-by-step explanation:

Experimental probability is the result of an individual experiment, not theoretical probability

The Solow model can be applied to a programmer's skill by considering human capital as the equivalent of physical capital, with accumulation, depreciation, and technological progress affecting skill development.

The Solow model is a macroeconomic model that explains long-term economic growth. It is typically applied to analyze the growth of physical capital, such as machinery and equipment. However, in this case, we can adapt the Solow model to represent a computer programmer's skill at writing code.

In the context of a computer programmer's skill, we can consider human capital as the equivalent of physical capital in the traditional Solow model. Human capital refers to the knowledge, skills, and abilities that individuals possess and can contribute to the production process. To apply the Solow model to a programmer's skill, we can use the following components:

Inputs: In the Solow model, the main input is physical capital. In this adaptation, the input would be the programmer's human capital, which includes their existing knowledge and skills in coding.

Accumulation: The model assumes that physical capital accumulates over time through investment. Similarly, a programmer's human capital can accumulate through learning new coding languages, acquiring new skills, and gaining experience.

Depreciation: In the Solow model, physical capital depreciates over time due to wear and tear. Similarly, a programmer's human capital can depreciate if they don't actively use certain programming languages or if their skills become outdated.

Technological progress: The Solow model accounts for technological progress as a factor that increases productivity. In the case of a programmer, technological progress would involve advancements in coding languages, frameworks, tools, and methodologies that enhance their productivity and efficiency.

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Answer:

i will give it to you

Step-by-step explanation:

that's it for you dear

The relationship between food purchased and food eaten by dogs can be written as, 162 biscuits ≥ 80 biscuits

The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the components that are multiplied are referred to as the factors.

First, let's calculate the total number of dog biscuits that Jim has bought:

= 6 bags × 27 biscuits per bag

= 162 biscuits

Next, let's calculate how many biscuits the dog will eat in 4 weeks:

= 4 weeks × 5 biscuits per day

= 20 biscuits per week

20 biscuits per week × 4 weeks = 80 biscuits

So, Jim has bought 162 biscuits and his dog will eat 80 biscuits in 4 weeks. This means that Jim has brought enough dog biscuits for his dog for 4 weeks.

162 biscuits ≥ 80 biscuits

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Answer:

y = 2x - 9

Step-by-step explanation:

y= mx + b

plug in slope

y = 2x + b

plug in points

1 = 2 (5) + b

simplify

1 = 10 + b

subtract 10 each side

-9 = b

plug in to original equation

y=2x - 9

Answer:

Step-by-step explanation:

-9 + sqrt(9^2 - 4(1)(-36)

               2

-9 + sqrt(81 + 144)

            2

-9 + sqrt(225)

          2

-9 + 15

    2

(-9 + 15)/2 = 6/2 = 3

(-9 - 15)/2= -24/2= -12

answer is B

Answer:

\(x = 3, x = -12\)

Step-by-step explanation:

Hello!

We can factor the quadratic by grouping. We have to find two numbers that add up to 9 but multiply to -36.

The two numbers are 12 and -3. Expand 9x to 12 x and -3x.

The answer is Option B. x = 3 or -12.

The compensating variation is $13.52.

The compensating variation is the amount of money that Greg would need to be compensated for a price increase in order to maintain his original level of utility. In this case, Greg's utility function is u = x^0.38x^0.962. His income is $83.00, and he faces these prices: (P1, P2) = (4.00, 1.00). If the price of x increases by $1.00, then the new prices are (P1, P2) = (5.00, 1.00).

To calculate the compensating variation, we can use the following formula:

CV = u(x1, x2) - u(x1', x2')

where u(x1, x2) is Greg's original level of utility, u(x1', x2') is Greg's new level of utility after the price increase, and CV is the compensating variation.

We can find u(x1, x2) using the following steps:

Set x1 = 83 / 4 = 20.75.

Set x2 = 83 - 20.75 = 62.25.

Substitute x1 and x2 into the utility function to get u(x1, x2) = 22.13.

We can find u(x1', x2') using the following steps:

Set x1' = 83 / 5 = 16.60.

Set x2' = 83 - 16.60 = 66.40.

Substitute x1' and x2' into the utility function to get u(x1', x2') = 21.62.

Therefore, the compensating variation is CV = 22.13 - 21.62 = $1.51.

To two decimal places, the compensating variation is $13.52.

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( − 2 ) ( 3+ 2 2 − − 2 )

Hope this helps, have a great day!

A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.

When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.

The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.

This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.

The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.

Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.

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The expected value of this gamble is $1.

The expected value of this gamble is the weighted average of all possible outcomes where the weights are the probabilities of each outcome happening.

The formula for expected value (EV) is as follows:

          Expected Value = (Probability of Winning × Amount Won) − (Probability of Losing × Amount Lost)

Hence, substituting the values:

          Expected Value = (0.5 × $10) − (0.5 × $8)

          Expected Value = $5 - $4

          Expected Value = $1

Therefore, the expected value of this gamble is $1.

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Answer:

Step-by-step explanation:

Here, the region of the triangle with a base 4 cm and a level 3 cm.

That is, the region of a triangle=

1/2 × Base × Level

=1/2 × 4 × 3

=6 sq cm

The region of a square shape with a length 5 cm and a breadth 4 cm

The region of a square shape = Length × breadth

=5 × 4 =20 sq cm

The region of a square shape with a length 4 cm and a width 3 cm

=4 × 3 =12 sq cm

The region of a square with the side 4 cm.

The region of a square = side²=4²=16 sq cm

The absolute surface of the given polyhedron =6 + 6 + 20 + 12 + 16

=60 sq cm

From the above estimation, it is distinguished as a region of the triangle that is determined incorrectly.

Accoding to the calculations , the correct answer is:

A) Depreciation charge 16,000; revaluation surplus £20,000

According to IAS 16 Property, Plant and Equipment, the depreciation charge for an asset should be based on its carrying amount, useful life, and residual value.

In this case, the buildings were purchased for £400,000 (£480,000 - £80,000) and had a useful life of 25 years. Since there is no residual value, the depreciable amount is equal to the initial cost of the buildings (£400,000).

To calculate the annual depreciation charge, we divide the depreciable amount by the useful life:

£400,000 / 25 = £16,000

Therefore, the depreciation charge for the year ended 30 September 2021 is £16,000.

Now, let's calculate the balance on the revaluation surplus as at that date.

The revaluation surplus is the difference between the fair value of the property and its carrying amount. On 1 October 2020, the property was revalued to £500,000, and the carrying amount was £480,000 (£400,000 for buildings + £80,000 for land).

Revaluation surplus = Fair value - Carrying amount

Revaluation surplus = £500,000 - £480,000

Revaluation surplus = £20,000

Therefore, the balance on the revaluation surplus as at 30 September 2021 is £20,000.

Based on the calculations above, the correct answer is:

A) Depreciation charge £16,000; revaluation surplus £20,000

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Answer:

The order in which you evaluated the expression was a bit incorrect but the outcome either way was 78. In some cases if you evaluate the expression incorrectly or not in order will result in you getting the wrong answer. If you want to see how to evaluate it correctly just look below.

Step-by-step explanation:

PEMDAS stands for

Parenthesis

Exponents

Multiplication and Division ( left to right )

Addition and Subtraction ( left to right )

And it basically tells us the order in which you are suppose to evaluate a mathematical expression.

It appears the expression you are given is 4² + ( 1 × 5 + 7² ) + 8

First we would do the operation inside of the parenthesis

so we have ( 1 × 5 + 7² )

Exponents come before multiplying and addition so first evaluate the exponent, 7² = 49

we now have ( 1 × 5 + 49 )

we next do the multiplication

( 5 + 49 )

Finally we do the addition

5 + 49 = 54.

We then replace the expression ( 1 × 5 + 7² )  with 54 as we just evaluated everything in the parenthesis

we get 4² + 54 + 8

So we just did the parenthesis and next is exponents so lets evaluate the exponents, 4² = 16

16 + 54 + 8

Next in PEMDAS is multiplication and division. There is none so we go to the next step.

We now do the addition and subtraction. ( going left to right )

16 + 54 + 8

first add 16 and 54

70 + 8

finally add 70 and 8

= 78

Notes:

For parenthesis you evaluate everything inside of the parenthesis before you remove the parenthesis

For multiplcation and division, you must evaluate in order going left to right, not doing so can result in a wrong answer.

Answer:

x = 20 degrees

y = 128 degrees

Step-by-step explanation:

First, lets solve for x:

3x-8 = 2x + 12

x = 20 degrees

Let's check our work:

60 - 8 = 40 + 12

52 = 52

Now, lets solve for y:

360 - 104 = 256

Why 360? Because 360 degrees = full circle

256/2 = 128 degrees

y = 128 degrees

Why divided by 2? Because there are 2 parts that are equal (y)

Hope this helps! Sorry for the late answer!

--Applepi101

Answer:

Step-by-step explanation:

The diameter of a pearl is

The diameter of an atom is

How much larger than an atom is a pearl?

Correct option is D

Answer:

∠2 and ∠5

∠6 and ∠3

Step-by-step explanation:

Vertical angles are a pair of non-adjacent angles formed by intersecting two straight lines.

Looking at the options, the answers are ∠2 and ∠5, ∠6 and ∠3

Answer:

Option B is the correct option.

Step-by-step explanation:

\( \sf{ \frac{3}{5} = \frac{x - 1}{8} }\)

Apply cross product property

⇒\( \sf{ 5(x - 1) = 3 \times 8}\)

Distribute 5 through the parentheses

⇒\( \sf{5x - 5 = 3 \times 8}\)

Multiply the numbers

⇒\( \sf{5x - 5 = 24}\)

Move 5 to right hand side and change it's sign

⇒\( \sf{5x = 24 + 5}\)

Add the numbers

⇒\( \sf{5x = 29}\)

Divide both sides of the equation by 5

⇒\( \sf{ \frac{5x}{5} = \frac{29}{5} }\)

⇒\( \sf{x = \frac{29}{5} }\)

Hope I helped!

Best regards!!

The rule for the given graph translation will be; [(x + 6), (y + 1)]

The Vertices of the quadrilateral ABCD are;

A → (-5, 2)

B → (-3, 4)

C → (-2, 4)

D → (-1, 2)

By reflecting the given quadrilateral ABCD across x-axis to form the image quadrilateral A'B'C'D', the rule for the reflection of a point across x-axis is; (x, y) → (x , -y)

Coordinates of the image point A' will be;

A(-5, 2) → A'(-5, -2)

From the given image, we can see that point E is obtained by translation of point A'.

The rule for the translation of a point by h units right and k units upwards is; A'(x + h, y + k) → E(x', y')

Thus, using this rule, we can say that;

A'(-5 + h, -2 + k) → E(1, -1)

When comparing coordinates of A' and E, we have;

-5 + h = 1

h = 6

-2 + k = -1

k = 1

Thus, we conclude that the rule for the translation will be;

[(x + 6), (y + 1)]

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The given equation, 16x² - y² + 16z² = 4, represents a quadric surface known as an elliptic paraboloid.

To determine the classification, we can examine the coefficients of the squared terms. In this case, the coefficients of x², y², and z² are positive, indicating that the surface is bowl-shaped. Additionally, the signs of the coefficients are the same for x² and z², indicating that the bowl opens upward along the x and z directions.

The negative coefficient of y², on the other hand, means that the surface opens downward along the y direction. This creates a cross-section in the shape of an elliptical parabola.

Considering these characteristics, the given equation represents an elliptic paraboloid.

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The dimensions of the rectangle are width = 20 centimeters and length = 1 centimeter.

Let's denote the width of the rectangle as "w" centimeters. According to the problem, the length of the rectangle is 19 centimeters less than its width, so the length can be expressed as "w - 19" centimeters.

The formula for the area of a rectangle is length multiplied by width. In this case, the area is given as 20 square centimeter

Area = Length × Width

20 = (w - 19) × w

To solve this equation, we can expand it:

20 = \(w^2\) - 19w

Rearranging the equation to bring everything to one side:

\(w^2\) - 19w - 20 = 0

Now, we can factor the quadratic equation:

(w - 20)(w + 1) = 0

Setting each factor equal to zero and solving for "w":

w - 20 = 0 --> w = 20

w + 1 = 0 --> w = -1

Since a negative width doesn't make sense in this context, we discard w = -1.

Therefore, the width of the rectangle is 20 centimeters (w = 20).

To find the length, we substitute this value back into the expression for length:

Length = w - 19

Length = 20 - 19

Length = 1 centimeter

So, the dimensions of the rectangle are width = 20 centimeters and length = 1 centimeter.

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Answer:

smaller number = 15

Step-by-step explanation:

Let the two numbers be 5x and 3x respectively.

According to the question —

5x — 3x = 10

2x = 10

x = 5

Thus the smaller number is 3 × 5 = 15

Answer:

15?

Step-by-step explanation:

Sorry I'm not entirely sure that is correct but I hope it helped!

The correct option is B. Famous and well-known.

A person who is widely known is said to be famous, renowned, celebrated, noteworthy, notorious, distinguished, prominent, or illustrious. Being extensively and well known, even for a little period of time, is all that being famous really means. A known actress suggests greater honor and acclaim.

Celebrated, distinguished, eminent, illustrious, notable, notorious, and renowned are some popular synonyms for famous. All of these phrases refer to being "known far and wide," while "famous" only refers to the reality of having a large and widespread following.

Disclaimer

8 famous images showed Tweed with a bag of money in place of his

A) NO CHANGE

B) famous and well-known

C) famous and commonly known

D) famous, commonly known

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Answer: see explanation

Step-by-step explanation: To determine which ordered pairs satisfy the equation substitute the x coordinate of the point into the right side and if the value obtained equals the y coordinate of the point then it satisfies the equation

(- 1, - 1)

x = - 1 : y = - 4 + 3 = - 1 ⇒ (- 1, - 1) satisfies the equation

(2, 11)

x = 2 : y = 8 + 3 = 11 ⇒ (2, 11) satisfies the equation

(4, 7)

x = 4 : y = 16 + 3 = 19 ≠ 7 ⇒ (4, 7) does not satisfy the equation

(7, 1)

x = 7 : y = 28 + 3 = 31 ≠ 1 ⇒ (7, 1) does not satisfy the equation