Pedro is as old as Juan was when Juan is twice as old as Pedro was. When Pedro is as old as Juan is now, the difference between their ages is 6 years, find their ages now.

Step-by-step explanation:

6

5

x−1>1

3

1

6

5

x−1>

3

4

6

5

x>

3

4

+1

6

5

x>

3

4

+

3

3

6

5

x>

3

7

x>

3

7

∗

5

6

x>

5

7∗2

x>

5

14

x>2

5

4

Answer:

ans: (D) 141°

Step-by-step explanation:

since, straight angle has 180°

180 = 39 + N

N = 180 - 39

N = 141°

Answer:

Hope this helps any!

Step-by-step explanation:

What you do is you would add the -4w to w.

Then you would add 6 to -11

5w=-5

w=-1(I think)

The number of seniors that are in the school is 240.

The first step is to determine the number of seniors that prefer gym equipment.

Let:

number of students that prefer gym equipment = x

total number of seniors = number of students that prefer gym equipment + number of seniors that prefer computer

= 160 + x

probability that a senior prefers gym equipment = 1/3

[x / (160 + x)] = 1/3

In order to determine the value of x, take the following steps:

Multiply both sides of the equation by 3.

3x = 160 + x

Combine and add similar terms:

3x - x = 160

2x = 160

x = 160 / 2

x = 80

Total number of seniors = 160 + 80 = 240

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4.75 batches of muffins can be made using 1 pound bag of sugar.

Given,

The quantity of sugar in 1 pound bag = 114 teaspoons

The quantity of sugar used for making 1 batch of muffins = 1/2 cup sugar

1 cup of sugar = 48 teaspoons

We have to find the number of batches of muffins can be made using 1 pound bag of sugar.

Here, quantity of sugar

1 pound bag = 114 teaspoons

1 cup = 48 teaspoons

1 batch muffins = 1/2 cup

1/2 cup = 48/2 = 24 teaspoons

That is, we use 24 teaspoons of sugar for making 1 batch of muffins.

Then,

114/24 = 4.75

That is

By using 114 teaspoons of sugar we can make 4.75 batches of muffins.

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Answer:

37

Step-by-step explanation: IM MAKING A GUESS IF ITS WRONG IM SORRY  I TIRED

The value of c for the angle of the triangle will be 7.34.

Congruence and likeness tests in geometry require comparing matching sides and angles of polygons. Each side and angle in one polygon is paired with a side or angle in the second polygon in these tests.

Given that in triangle LMN, m∠L = (6c + 35)°. If the exterior angle to ∠L measures 79°,

The value of angle c will be calculated as,

(6c + 35)° = 79°

Apply the mathematical operations and solve further,

6c = 79 - 35

6c = 44

c = 7.34

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Complete question:

Kono divides The numerator and the denominator of 48 over 72 by the greatest common factor to simplify the fraction in one step by what number does he divide

Answer:

2/3

Step-by-step explanation:

Given the number : 48 / 72

Obtain the greatest common factor of 48 and 72

- - - - 48 - - - - 72

- 2-- 24 - - - - 36

- 2 - 12 - - - - - 18

- 2 - 6 - - - - - - 9

- 3 - 2 - - - - - - 3

The greatest common factor of 48 and 72 is hence (2 * 2 * 2 * 3) = 24

Hence, divide both the numerator and denominator by 24 ;

Numerator = 48/24 = 2

Denominator = 72 / 24 = 3

= 2/3

Answer: 36.11 Ft

Step-by-step explanation:

Circumference formula

C = 2 • pie,3.14 • R

C = 2 • 3.14 • 4.75 = 36.11

Answer:

5 = 817+ 726x + (91728 = 9.3 x 10^2

Answer:

9 oatmeal cookies

Step-by-step explanation:

The domain of the function using the attached diagram is given by option A. { x / x = -5, -3, 1, 2, 6 }.

As per the attach diagram,

The mapping in the diagram represents the relation between input values and the output values.

Let us consider all input values are represented by variable 'x'.

And all output values are represented by variable 'y'.

All input values represents the domain of the function.

-5 relates to 4

-3 relates to -9

1 relates to 2

2 relates to -6

6 relates to 0

Here,

Domain of the function is ,

{ x / x = -5, -3, 1, 2, 6 }

Range of the function is ,

{ y / y = 4, -9, 2, -6,0 }

Therefore, the domain of the function is equal to option A. { x / x = -5, -3, 1, 2, 6 }.

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The given question is incomplete, I answer the question in general according to my knowledge:

A mapping diagram shows a relation, using arrows, between inputs and outputs for the following ordered pairs: (negative 6, 0), (2, 1), (negative 7, negative 4), (11, 2), (3, 2).

What is the domain of the relation?

Diagram is attached.

Answer:

Answer: f(2) = -5

Step-by-step explanation:

• The graph above shows;

\({ \rm{y = f(x)}}\)

• hence, f(2) means x = 2. From the graph:

\({ \rm{when \: x \: is \: 2 : }} \\ { \rm{y \: is \: - 5}}\)

• Therefore:

\({ \boxed{ \rm{f(2) = - 5}}}\)

Answer:

22

Step-by-step explanation:

49 (the whole length of the angle) - 27 (part of the angle) = 22 (the other part)

The statements that are true are

From the question, we are to determine the statements that are true

In the given number line,

A =  -2 1/6

B = - 1/2

C = 1/3

D = 1 2/3

B - C = -1/2 - 1/3

B - C = -5/6

∴ B - C ≠ 1/6

A + C = -2 1/6 + 1/3

A + C = -1 5/6

∴ The sum of A and C is negative

A + D = -2 1/6 + 1 2/3

A + D = -1/2

B = -1/2

∴ A + D = B

1 2/3 ÷ - 1/2 = -10/3

∴ The quotient of D and B is -10/3

A×B = -2 1/6 × -1/2

A×B = 13/12

Product of A and C

A×C = -2 1/6 × 1/3

A×C = -13/18

∴ The product of A and B > the product of A and C

|B| = 1/2

|C| = 1/3

|B| > |C|

|B| is NOT less than |C|

Hence, the statements that are true are

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Answer:

8

Step-by-step explanation:

First, let's find the derivative of the equation.

According to one of the rules of derivatives, d/dx tan(x) = sec²(x)

We also don't mess with the 2 since it's a constant

f'(x) = 2sec²(x)

Now just plug in 2π/3

2sec²(2π/3) = 8

Instantaneous rate of change is 8 at x = 2π/3

Answer:

x=-4

Step-by-step explanation:

6x+2x-6=5x-18

8x-6=5x-18

8x+12=5x

0= 3x+12

3x=-12

Divide 3 by both sides

x= -4

Answer:

option c

Step-by-step explanation:

Answer:

12 is 85.714285714286% of 14.

The value assigned to variable y in the given expression "x = 0; y = (x > 0) ? 10 : -10;" is -10.

In the given expression "x = 0; y = (x > 0) ? 10 : -10;", the variables x and y are being assigned values based on a conditional statement.

First, the value of x is assigned as 0.

The conditional statement (x > 0) checks whether the value of x is greater than 0. In this case, since x is equal to 0, the condition evaluates to false.

The ternary operator ? : is used to specify different values for y based on the outcome of the conditional statement. If the condition is true, the value assigned to y would be 10. On the other hand, if the condition is false, the value assigned to y would be -10.

In this case, since the condition (x > 0) is false, the value assigned to y is -10, as indicated after the colon :.

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Answer:

r=8, s=3

Step-by-step explanation:

(5+√2)/(4+√8)=

(5+√2)/(4+2√2)=

(5+√2)/2(2+√2)=

(5+√2)(2-√2)/2(2-√2)(2+√2)=

(10-5√2+2√2-2)/2(4-2)=

(8-3√2)/4  ⇔ (r-s√2)/4

r=8, s=3

Answer:

see explanation

Step-by-step explanation:

Equivalent ratios are found by multiplying or dividing the parts of the ratio by the same value.

27 : 9 ( divide both parts by 9 )

= 3 : 1

(b)

7 : 35 ( divide both parts by 7 )

= 1 : 5

Answer:

For this question if you need proper help in video format, tthen watch the video of MIND YOUR DECISIONS

Not enough information is provided to determine the x-coordinate.

To determine the x-coordinate of the first car location at 8:30 PM, we need more information about the specific context or scenario. The x-coordinate is typically used to represent the horizontal position of an object on a coordinate plane. Without knowing the initial position or any information about the movement or velocity of the car, it is not possible to determine the exact x-coordinate at a specific time.

If additional details are provided, such as the initial position of the car or any information related to its movement, we can use that information to calculate the x-coordinate at 8:30 PM. However, without any specific context or given data, it is not possible to provide a meaningful answer to this question.

Therefore, without further information, it is not possible to determine the x-coordinate of the first car location at 8:30 PM.

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Answer:

You use the trigonometric ratio (see below for explanation & answer)

Step-by-step explanation:

\(tan(50)=\frac{630}{d}\)

\(d=\frac{630}{tan(50)}\)

\(d= 528.6\)

So, 528.6 is your answer. Have a great day! Hope I helped!

1 and 5/42

Step-by-step explanation:

Answer:

\(tan(x)=\frac{44\sqrt{89}}{89}\)

Step-by-step explanation:

tan is defined as: \(tan(x)=\frac{opposite}{adjacent}\)

sin is defined as: \(sin(x)=\frac{opposite}{hypotenuse}\)

cos is defined as: \(cos(x)=\frac{adjacent}{hypotenuse}\)

We can also define tan as: \(tan(x)=\frac{sin(x)}{cos(x)}\)

because plugging in the definitions of sin and cos in we get: \(tan(x)=\frac{(\frac{opposite}{hypotenuse})}{(\frac{adjacent}{hypotenuse})}\\\\tan(x)=\frac{opposite}{hypotenuse}*\frac{hypotenuse}{adjacent}\\\\tan(x)=\frac{opposite}{adjacent}\)

which you'll notice is the original definition of tan(x)

So using this definition of tan(x) we can use the givens sin(x) and cos(x) to find tan(x)

\(sin(x)=\frac{44}{45}\\\\cos(x)=\frac{\sqrt{89}}{45}\\\\tan(x)=\frac{sin(x)}{cos(x)}\)

plugging in sin(x) and cos(x) we get:

\(tan(x)=\frac{\frac{44}{45}}{\frac{\sqrt{89}}{45}}\\\\tan(x)=\frac{44}{45}*\frac{45}{\sqrt{89}}\\\\tan(x)=\frac{44}{\sqrt{89}}\)

We usually don't like square roots in the denominator, and from here we want to rationalize the denominator which we do by removing the square root from the denominator.

We can do this by multiplying the fraction by: \(\frac{\sqrt{89}}{\sqrt{89}}\) which doesn't change the value of the fraction since it simplifies to 1, but it gets rid of the square root in the denominator

\(tan(x)=\frac{44}{\sqrt{89}}*\frac{\sqrt{89}}{\sqrt{89}}\\\\tan(x)=\frac{44\sqrt{89}}{89}\)

Answer:

not 100% sure what the question is

but he has 85 movies

that are about 9350 minutes runtime which is about 155.8 hours of film

Step-by-step explanation:

To help account for variability, the pollster used a simple random sample.

Sampling is the selection of a subset (a statistical sample) of people from within a statistical population in statistics, assurance, and survey procedures. the population's characteristics that were sampled. Obtaining samples that are typical of the population being researched is the objective of statisticians.

In situations where it is not practical to evaluate the complete population, sampling offers insights and is more cost-effective and time-efficient than doing so.

Each observation gives a number for one or more characteristics of certain things or people, including their size, location, color, or weight.

In survey sampling, especially in stratified sampling, ratings can be added to the results to take into consideration the sample design. The practice is guided by conclusions from statistical theory and probability theory.

Since 1000 people are randomly selected , hence we can say that the preference is simple random sample.

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