one half of three fourths of a number is 20 less than two fifths of the same number. what is the number?

Answer:

2root5, 2root3, 3, root8.5, 2root6/root3

Step-by-step explanation:

2Root5 = 4.47

Root8.5 = 2.92

3

2root3 = 3.46

2root6/root3 = 2.83

The length of a standard basketball court is 94 feet (28.65 meters), and the width is 50 feet (15.24 meters).

A standard basketball court is rectangular in shape and follows certain dimensions specified by the International Basketball Federation (FIBA) and the National Basketball Association (NBA). The length and width of a basketball court may vary slightly depending on the governing body and the level of play, but the most commonly used dimensions are as follows:

The length of a basketball court is typically 94 feet (28.65 meters) in professional settings. This length is measured from baseline to baseline, parallel to the sidelines.

The width of a basketball court is usually 50 feet (15.24 meters). This width is measured from sideline to sideline, perpendicular to the baselines.

These dimensions provide a standardized playing area for basketball games, ensuring consistency across different courts and facilitating fair play. It's important to note that while these measurements represent the standard dimensions, there can be slight variations in court size depending on factors such as the venue, league, or specific regulations in different countries.

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Answer:

4

Step-by-step explanation:

The theorem is a+b=c.

So 6+?=10

And that is 4 because 6+4 is 10.

Answer:

A or B

Step-by-step explanation:

\(3.5+m<4.6\)

that's what it means

so if we solve it

\(3.5+m-3.5<4.6-3.5\\\\m+0<1.1\\\\m<1.1\)

and now we check

\(3.5+(1)<4.6(\:something\:less\:than\:1.1)\\\\4.5<4.6\)

which satisfy

now choose an option

it's either A or B

m<1.1 is the answer if you have to highlight the thing that m is less than then B is your answer

if you have to highlight an option that works then it's A

Answer:

B

Step-by-step explanation:

Answer:

B) 1 1/3

Step-by-step explanation:

4 x 1/3 = 4/3

4/3 = 1 1/3

The sample question is: "Two trees, 70 meters apart, are connected by a 100-meter zip line. How high is the zip line linked to the tree if the elevation difference between the ground and the zip line is 30 degrees? Use the sine law to solve the triangle."

By using the sine law, it is possible to calculate that sin(30°) = x/sin(150°)

Making use of above equation, we can determine that x = sin(30°) * sin(150°) / sin(180°), which gives us a value of 50m.

Therefore, the zip line must be attached to the tree at a height of around fifty meters.

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Answer:

24/100

Step-by-step explanation:

Simplest fractional form of 0.24 repeating will be 6/25.

Fractions: A number in p/q form where q must not be zero is termed as fractions.

Given, that number 0.24 is repeating in nature.

So, to convert 0.24 from decimal to fraction .

Remove the decimal by dividing the whole number by 100 as decimal is two places behind.

0.24 = \(\frac{24}{100}\)

Simplify the fractional form,

GCF of 24 and 100 = 4

So divide 24 and 100 by 4,

Therefore the required fraction is ,

= \(\frac{6}{25}\)

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The functions that approach negative infinity as x approaches negative infinity are a, b and d.

What is the definition of a function?

In mathematics, a function is a rule that assigns to each element in a set (called the domain) a unique element in another set (called the range). In other words, a function is a relationship between two sets of values in which each input value maps to exactly one output value.

Formally, we can define a function f as follows:

Let A and B be two sets. A function f from A to B is a rule that assigns to each element x in A a unique element f(x) in B. We write f(x) = y to indicate that the element y in B is the image of the element x in A under the function f.

Now,

The function that approach negative infinity as x approaches negative infinity are:

a. f(x) = (4x + 1)(3x + 5)(x - 2)

b. f(x) = -4.8x(2x + 3)(x - 9)(x + 5)

d. f(x) = -0.5x(3x - 7)(4x + 1)(x + 9)(x - 3)

To see why, note that as x approaches negative infinity, the dominant term in the function will be the term) with the highest power of x. For functions a, b, and d, the dominant term have a negative coefficient and a power of x that is either 3 or higher, which means that these functions will approach negative infinity as x approaches negative infinity.

Functions c, e, and f have dominant terms with positive coefficients and/or powers of x that are less than 3, so they do not approach negative infinity as x approaches negative infinity.

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The recipe calls for 3 teaspoons of cinnamon for every 8 cups of flour. To find out how many teaspoons of cinnamon are needed for 1 cup of flour, you can set up a proportion:

3 teaspoons / 8 cups = x teaspoons / 1 cup

Now, solve for x:

3/8 = x/1
x = 3/8

So, the recipe calls for 3/8 teaspoon of cinnamon for 1 cup of flour.

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Answer:

Step-by-step explanation:

y = -1/10x + 8

perp. 10

y - 2 = 10(x + 8)

y - 2 = 10x + 80

y = 10x + 82

Answer:

Hey!

Since we know that both expressions lay on a straight line, we know that when both lines add up it should be 180°

We can write the expression as (7x - 1) + (6x - 1) = 180

Simplify

→ (7x + −1) + (6x + −1) = 180

Combine Like Terms

→ (7x + 6x) + (-1 + -1) = 180 → 13 + -2 = 180

Add 2 To Both Sides

→ 13x - 2 + 2 = 180 + 2 → 13x = 182

Divide 13 To Both Sides

13x/13 = 182/13 → x = 14

Hence, the value of x is 14!

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

Hope This Helped! Good Luck!

Answer: 15

Step-by-step explanation: In ΔNOP,

m

∠

N

=

(

9

x

+

8

)

∘

m∠N=(9x+8)

∘

,

m

∠

O

=

(

4

x

+

13

)

∘

m∠O=(4x+13)

∘

, and

m

∠

P

=

(

2

x

−

6

)

∘

m∠P=(2x−6)

∘

. Find

m

∠

N

.

m∠N

The solution is x ≡ 167(mod 2 x 3 x 5).

Iteration is a process of repeating a set of operations until the desired result is obtained.

Substitution involves solving one equation for one variable and substituting the expression into another equation.

Let's use iteration and substitution to solve this system.

Step 1:We solve the first equation for x:

x ≡ 1(mod 2) => x = 1 + 2k for some integer k.

Step 2:We substitute x into the second equation and solve for k:

1 + 2k ≡ 2(mod 3)

=> 2k ≡ 1(mod 3)

=> k ≡ 2(mod 3).

Hence, k = 2 + 3n for some integer n.

Step 3:We substitute x and k into the third equation and solve for n:

1 + 2(2 + 3n) ≡ 3(mod 5)

=> 4 + 6n ≡ 3(mod 5)

=> n ≡ 2(mod 5).

Hence, n = 2 + 5m for some integer m

.Step 4:We substitute k and n into x:

x = 1 + 2k

 = 1 + 2(2 + 3n)

= 1 + 2(2 + 3(2 + 5m))

= 1 + 2(8 + 15m)

 = 17 + 30m.

The general solution is x = 17 + 30m for some integer m.150 is a solution, so the solution is x  = 17 + 30(5) = 167.

Hence, the solution is x ≡ 167(mod 2 x 3 x 5).

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The equation that represents the number of parts produced in x minutes for the machine that produces parts at a constant rate is: y = mx + b

To represent the number of parts produced in x minutes for the machine that produces parts at a constant rate, we can use a linear equation of the form y = mx + b, where m is the rate of production (constant) and b is the initial number of parts produced.

Since the machine produces parts at a constant rate, the equation would be in the form y = mx + b, where m is a constant.

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A triangle has three bisectors, each of which is a line that divides one of the angles of the triangle into two equal parts.The incenter is equidistant from the three sides of the triangle and is the center of the inscribed circle, which is the circle that is tangent to all three sides of the triangle.

A triangle is a two-dimensional geometric shape that has three straight sides and three angles. It is one of the simplest and most fundamental shapes in geometry, and it is widely studied in mathematics, science, and engineering. Triangles can have different types of angles and sides, which give rise to various classifications and properties. For example, a triangle can be classified as equilateral (all sides and angles are equal), isosceles (two sides and two angles are equal), or scalene (all sides and angles are different).

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Answer:

13.4 (rounded to nearest tenth)

Given:

The date set is:

0,5,6,7,8,13

To find:

The outliers for the given data set.

Solution:

We have,

0,5,6,7,8,13

Divide the data in two equal parts.

(0,5,6),(7,8,13)

Divide each parenthesis in two equal parts.

(0),5,(6),(7),8,(13)

Here, first quartile is \(Q_1=5\) and the third quartile is \(Q_3=8\).

The interquartile range (IQR) is:

\(IQR=Q_3-Q_1\)

\(IQR=8-5\)

\(IQR=3\)

The data lie outside the range \([Q_1-1.5IQR,Q_3+1.5IQR]\) is called outliers.

\([Q_1-1.5IQR,Q_3+1.5IQR]=[5-1.5(3),8+1.5(3)]\)

\([Q_1-1.5IQR,Q_3+1.5IQR]=[5-4.5,8+4.5]\)

\([Q_1-1.5IQR,Q_3+1.5IQR]=[0.5,12.5]\)

The data values 0 and 13 lie outside the range [0.5,12.5].

Therefore, 0 and 13 are outliers of the given data set.

You can determine if the inverse of a polynomial function is a function by using the Horizontal Line Test on the inverse.

The Horizontal Line Test is a graphical method that can be used to determine whether a given function is one-to-one, meaning that for each output value, there is at most one input value that maps to it.

If the inverse of a polynomial function is a function, it must pass the Horizontal Line Test, meaning that no horizontal line intersects the graph of the inverse more than once.

In other words, if the inverse of a polynomial function passes the Horizontal Line Test, it is guaranteed to have an inverse, which will be a function itself. If the Horizontal Line Test fails, then the inverse is not a function and does not have an inverse.

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============================================================

Explanation:

\(g_3 = 6.25\) tells us that the third term is 6.25

The common ratio r = 5/4 = 1.25 tells us how to get the next term. We multiply the third term by 1.25 to get the next term

4th term = (3rd term)*(r) = (6.25)*(1.25) = 7.8125

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

To go backwards and find the second term, we will divide by r, which is the inverse operation of multiplication.

2nd term = (3rd term)/r = (6.25)/(1.25) = 5

Use the same idea to find the 1st term

1st term = (2nd term)/r = 5/(1.25) = 4 is the final answer

Answer:

the population would be 1,200,000 of San Diego in 2000

Answer:

1,200,000 is your answer

Step-by-step explanation:

Answer:7

Step-by-step explanation:

7 1/2 - 1/2 = 7

Answer:

x/2 - 7= 1 + 5/10

Step-by-step explanation:

If the number is x

the expression is -

x/2 - 7= 1 + 5/10

Answer:

6x

Explanation:

A number is x. 6 x x is written as 6x

Answer:

6x or 6*x

Step-by-step explanation:

Represent the following sentence as an algebraic expression, where "a number" is the letter x.

6 is multiplied by a number

6x

6 * x

Hope this helps!

Answer:

1/3 degreees/min

Step-by-step explanation:

In 15 min, temp. rises by 10 degrees

This means that 10 degrees / 15 min = 2 deg / 3 min

1/3 degree/min

The unit rate of change in °F per minute is 0.667°F/ min .

An equation is a statement formed when variables are equated by a constant or another variable by an equal sign.

It is given that

The rate of increase of temperature with increasing time is given

The unit rate of change in °F per minute has to be determined .

In 15 minutes , the temperature changes by  10°F

The rate of unit change is 10 / 15 = 0.667

20/30 = 0.667

40/60 = 0.667

Therefore the unit rate of change in °F per minute is 0.667°F/ min .

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The correct answer for the total number of configurations is not listed among the options A, B, C, or D. Customers can choose any combination of four optional features.

In the given scenario, we have a new car that comes in two models: sedan and hatchback. Additionally, there are eight different colors to choose from, and customers have the option to add any combination of four optional features. The question asks for the total number of possible configurations considering all these choices.

To find the total number of configurations, we need to consider the choices for each category and multiply them together.

Model:

Since the car is available in two models (sedan and hatchback), we have 2 choices for the model.

Color:

There are eight different colors available for the car. Since the color choice is independent of the model, we still have 8 choices for the color.

Optional features:

Customers can choose any combination of four optional features. Since there are no restrictions on the selection, we can consider it as a combination problem. The number of ways to choose r items from a set of n items is given by the formula nCr = n! / (r!(n-r)!). In this case, we want to choose 4 features from a set of available features. So, we have 4C4 = 4! / (4!(4-4)!) = 1.

To find the total number of configurations, we multiply the number of choices for each category together:

Total configurations = (Number of models) x (Number of colors) x (Number of optional features)

= 2 x 8 x 1

= 16.

Therefore, there are a total of 16 possible configurations for the new car, considering the choices for the model, color, and optional features.

Based on the options provided, none of them matches the correct answer. The correct answer for the total number of configurations is not listed among the options A, B, C, or D.

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