Four times the sum of a number and two is equal to twice the number

Given that you are in the 88th percentile for GPA, there are 72 students that have a GPA greater than or equal to yours.

Percentile refers to the measure used to indicate the value below which a certain percentage of data lies.

If a data is said to be in the nth percentile, this means that n% of the data in the distribution are equal to or lower than that data.

If you are in the 88th percentile, then 88% of all the 600 students have a GPA equal or lower than yours.

88% of 600 = 0.88(600) = 528

students that have a GPA greater than or equal to yours = 600 - 528

students that have a GPA greater than or equal to yours = 72

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Answer:

Step-by-step explanation:

325

Number of people probably wore sandals at the mall = 9 people

Let 's' denote the total number of people Amelia counted at the mall.

Let x be the number of people wearing sandals out of them.

The equation developed by Amelia according to this is,

 s = 35x + 12

This is a linear equation written with s in terms of x .

Total people counted by Amelia = 325

So we have to find the value of x when s = 325.

Substituting s = 325 to the equation,

325 = 35x + 12

⇒ 325 - 12 = 35x

⇒ x = (325 - 12)/35

⇒ x = 8.9 ≈ 9

Since x denote the number of people wearing sandals, we take x = 9

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16.  Valid

Reason: congruency can be represented by the symbol ≅ hence  the statement still reads <1 and <2 are congruent.

17. Invalid

Reason: A rectangle also has four right angles, It is only a square when all the sides are equal.

18. Valid

Reason: congruency can be represented by the symbol ≅ hence the statement still reads <JKM and <MKL are congruent.

19. Valid

Reason: The conclusion of the battery dying is in support with the premise given which is, leaving the light on when the car is off.

20.Valid

Reason: The conclusion, Dante obtained a part time job is in line with the premise that obtaining a pert time job, is a way to afford a car payment

21. Valid

Reason: The premise which has that selling 75% of the prom tickets will make the prom hold at country club is fulfilled, hence the prom will be held at the country club

An argument is valid when the premises or conditions of the argument are all true. When the conclusion supports the premises then conclusion is valid.

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1. Trouvez la différence commune

Trouvez la différence commune en soustrayant n'importe quel terme de la séquence du terme qui le suit.

La différence de la séquence est constante et est égale à la différence entre deux termes consécutifs.

2. Trouvez la somme

3. Trouver le formulaire explicite

4. Trouver la forme récursive

5. Trouvez le neuvième élément

^^ <3

The rate of falling temperature is 5 1/3 degrees per hour.

What do you mean by the rate of temperature?

This indicates the sensitivity of the reaction to change in temperature.

Given that;

The temperature fell 4 degrees in 3/4 of an hour.

So, we can set up a proportion to see how much temperature fell in an hour,

[tex]\frac{4}{3/4} = \frac{x}{1}[/tex]

4 /0.75 = x

x = 5 1/3

Hence, The rate of falling temperature is 5 1/3 degrees per hour.

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Answer:

[tex](-4)\x^{\frac{2}{7} } =\sqrt[7]{(-4)^{2} }[/tex]

Step-by-step explanation:

Hope this helps

Where Melissa went wrong was that she should have divided it into 3 pieces that were 4 in. long.

We are given;

Length of Ribbon = 12 inches

Length of each bookmark = 4 inches

Now, since she is making bookmarks from the 12 inches length of ribbon, from online sources it is seen that she divided into 4 parts of 4 inches each.

Thus, where Melissa went wrong was that she should have divided it into 3 pieces that were 4 in. long.

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Answer:

A all values are solutions

Step-by-step explanation:

we have the absolute value of an expression (in this case 13x).

that means the result is always (ALWAYS) positive, no matter what happens in the included expression.

the minimum result value is 0.

it cannot get below 0.

so, |13x| > -5 is always true, no matter what value you pick for x.

The expanded form of the expression log m² n⁵ is

2 log m +5 log n.

Given that the expression is log m² n⁵.

We are required to find the expansion form of the given expression.

Product property of logarithm says that the logarithm of a product is equal to a sum of logarithms. Because logs are exponents, and we multiply like bases, we have to add the exponents.

The expression is log m² n⁵.

log m² n⁵=log [tex]m^{2}[/tex]+ log [tex]n^{5}[/tex]

=2 log m +5 log n

Hence the expanded form of the expression log m² n⁵ is

2 log m +5 log n.

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Each roommate have to pay $68.85 equally.

Given, the TV costs = $275.40 including tax.

number of roommates who wants to buy a Tv with equal pay = 4

Divide the total amount of the TV among the number of roommates.

One of the four fundamental mathematical operations—the others being addition, subtraction, and multiplication—is division. Simply said, division is the process of dividing a large group into smaller groups so that each group contains an equal number of elements. In mathematics, it is an operation that is used for equal distribution and equal grouping.

⇒ 275.40 ÷ 4

= 68.85

Hence each roommate have to pay $68.85 equally to buy a TV which costs $275.50.

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The equation representing the relationship between the area of the circle and the radius is given by A = π ( r + 16 )².

We are given that:

Waves travels at a rate of 16 feet / second.

Now, let the radius of circle be r.

Now, we know that the area of a circle is given by:

A = π r²

Now, radius increases by 16 feet every second.

So, the equation of the area will become:

A = π ( r + 16 )²

Therefore, the equation representing the relationship between the area of the circle and the radius is given by A = π ( r + 16 )².

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Answer:

I'm from California I'm new to this

Answer: The value is −34.234

Step-by-step explanation:

Answer: yes

Step-by-step explanation: In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.

Answer:

Yes it is a function bc no number repeats 2x

Step-by-step explanation:

Y

The equation of the line that passes through (2, -6) and is perpendicular to the given line is y = -x -4

From the question, we are to determine the equation of a line that passes through (2, -6) and it perpendicular to y = x + 4

If two lines are perpendicular, the product of their slope is -1.

That is,

m₁m₂ = -1

First,

We will determine the slope of the line that the equation was given

y = x + 4

Comparing with the slope-intercept form of the equation of a straight line

y = mx + b

Where m is the slope

and b is the y-intercept

By comparison

m = 1

The slope of the line that the equation was given is 1

Thus,

The slope of the line that is perpendicular to this line is -1

From the given information,

The line passes through the point (2, -6)

Using the point-slope form of the equation of a line

y - y₁ = m(x - x₁)

Then,

y - -6 = -1(x - 2)

y + 6 = -x + 2

y = -x + 2 - 6

y= -x -4

Hence, the equation of the described line is y = -x -4

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Answer:

y = -x -4

Step-by-step explanation:

The new function for f(x) = (x – 3) is g(x) = x/2 – 3

Given,

The function, f(x) = (x – 3)

Horizontal stretch by a factor of 2

The quadratic parent function f(x) = (x – 3) is the simplest form of a quadratic function.

If the function is multiplied by the factor b and:

|b| > 0  the function is stretched.

If 0 < |b| < 1 the function is compressed.

Then the new function will be in the form:

g(x) = (1/b)x - 3

Therefore, keeping the above on mind, if b=2, then the new function is:

g(x) = (1/2)x - 3

g(x) = x/2 - 3

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Answer:

They are not equal

Step-by-step explanation:

the first one equals 0

the second one equals 12

Based on the expression the number of grid squares in a character of size 7 is 55

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression for the number of grid squares in a character of size s is given as

6 + s^2

Rewrite the expression as a function

So, we have

f(s) = 6 + s^2

To find the number of grid squares in a character of size 7, we set s to 7

i.e. s = 7

So, we have

f(7) = 6 + 7^2

Evaluate the exponent

So, we have

f(7) = 6 + 49

Evaluate the sum

So, we have

f(7) = 55

Hence, the number of grid squares in a character of size 7 is 55

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Answer:

B. 8 x 10^3

Step-by-step explanation:

(1.6 x 10^5)/(0.2 x 10^2)

= (1.6/0.2)x(10^5/10^2)

= 8x10^(5-2)

= 8 x 10^3

Two expressions with an equal sign is called as Equation. If the difference between two numbers is 12. The first number is 5 less than twice the second number then the two numbers are 29 and 17.

Two expressions with an equal sign is called as Equation.

Let the two numbers be a and b.

Given equation is a-b=12 .....(1) and

The first number is 5 less than twice the second number i.e a=2b-5

Substitute a in (1)

2b-5-b=12

b-5=12

b=17

b=17 is the second number.

Now we have to find first number so

a=2b-5...(2)

Substitute b=17 in (2)

a=2(17)-5

=34-5

=29

Therefore the two numbers are 29 and 17.

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Answer:

Hello,

Step-by-step explanation:

0=x²+17x+72=x²+8x+9x+72=x(x+8)+9(x+8)=(x+8)(x+9)

x=[-9,-8]

Answer:

[tex]x = - 8 \: - 9[/tex]

Step-by-step explanation:

[tex]1. \: {x}^{2} + 72 + 17x = 0 \\ 2. \: (x + 8)(x + 9) = 0 \\ 3. \: x = - 8 \: - 9[/tex]

value of the median in the situation = 49

Solution :

Median :

A Median is defined as the middle value in a given set of numbers or data. In Mathematics, there are three different measures, which are used to find the average value for a given set of numbers. They are mean, median, and mode. These three measures are called the measures of central tendency. The average value of the given data is given by mean. The middle value of the given data is defined by a median. The repeated value of the given data is defined by mode.

Mean :

The mean is estimated by dividing the sum of all the numbers by the count of the numbers.

Median Formula

Based on the definition, the formula to find the median of the dataset is given by:

If the given number of observations/data is odd, then the formula to calculate the median is:

Median = {(n+1)/2}th term

If the given number of observations is even, then the formula to find the median is given by:

Median = [(n/2)th term + {(n/2)+1}th term]/2

Where,

“n” is the number of observations.

Count of variety A  = 10

Median = [(n/2)th term + {(n/2)+1}th term]/2

Median = [(10/2)th term + {(10/2)+1}th term]/2

Median = [5th term + {6th term}]/2

Median = [49 + 49]/2

Median = [98]/2

Median = 98/2 = 49

value of the median in the situation = 49

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The standard form representation of the equation of a circle as given obviously in the task content is; (x + 12)² + (y + 3)² = 4².

It follows from the task content that the standard form representation of the equation of the circle as given in the task content is to be determined.

The given equation is;

137+6y=-y²-x²-24x

By rearrangement, we have;

x² + 24x + y² + 6y + 137 = 0.

Therefore by the use of completing the square method; we have;

(x + 12)² - 144 + (y + 3)² - 9 + 137 = 0.

Hence, the correct standard form representation of the equation is;

(x + 12)² + (y + 3)² = 16

(x + 12)² + (y + 3)² = 4²

Ultimately, the standard form representation of the equation of a circle as given obviously in the task content is; (x + 12)² + (y + 3)² = 4².

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Answer:

26s-45

Step-by-step explanation:

This is according to a app that tells you the answer to the problem and this is right the app is always right i use it all the time

The coordinates of the midpoint M of the segment AD is ( -1, 1 ).

Hence, option A)( -1, 1 ) is the correct option.

The midpoint formula is expressed as;

M = ( (x₁+x₂)/2, (y₁+y₂)/2 )

Given the data in the question;

Point A(3,−2)

Point D(−5,4)

To determine the midpoint, plug the given points into the formula above and simplify.

M = ( (x₁+x₂)/2, (y₁+y₂)/2 )

M = ( ( 3 + (-5) )/2, ( (-2) + 4)/2 )

M = ( ( 3 - 5 )/2, ( -2 + 4)/2 )

M = ( ( -2 )/2, ( 2)/2 )

M = ( -1, 1 )

The coordinates of the midpoint M of the segment AD is ( -1, 1 ).

Hence, option A)( -1, 1 ) is the correct option.

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Using proportions, it is found that 7.2q and q/6 are different terms, due to the different numeric coefficients.

A fraction is converted to decimal by the division of the numerator by the denominator, that is, we apply the proportion of the numerator by the denominator.

For this problem, we have two terms, given as follows:

7.2q and q/6.

To verify if they are equal terms, we have to look at the numeric coefficients, hence:

Hence 7.2q and q/6 are different terms, due to the different numeric coefficients.

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Step-by-step explanation:

The sum of ypur ages is

=F+B

in three years your ages will both grow by 3

= (F+3)+(B+3)

For the difference of ages we know tha B is older than F

=B-F

Answer:(1,800 - 12g) / 30 = m

Step-by-step explanation: