simplify x(2x+1)-(4x-5)

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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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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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:

I am assuming you mean 20% of the world's population lives in South America.

That is 1/5.

1 /35 of world's population live in Brazil so the fraction of Brazilians in South America

= 1/35 / 1/5

= 5/35

= 1/7

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:

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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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 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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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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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 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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Solving a system of equations we can see that he repaired 15 of the fiberglass bathroom sinks and 8 of the fiberglass tub enclosures

Let's define the two variables:

x = number of fiberglass bathrooms repaired.

y = number of fiberglass tub enclosures repaired.

Then we can write the system of equations:

x + y = 23

x*$12 + y*$59 = $652

Isolating x on the first one, we get:

x = 23 - y

Replacing that in the other equation:

(23 - y)*$12 + y*$59 = $652

23*$12 + y*($59 - $12) = $652

23*$12 + y*$47 = $652

y = ($652 - 23*$12)/$47 = 8

Then:

x = 23 - y = 23 - 8 = 15

So, he repaired 15 of the fiberglass bathroom sinks and 8 of the fiberglass tub enclosures

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The number of miles driven that would make the cost of each company the same is 30 miles.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of miles.

For company A:

total cost = 1.5x + 60

For company B:

Total cost = 2.5x + 30

If each company charges the same amount of money:

1.5x + 60 = 2.5x + 30

x = 30 miles

The number of miles driven that would make the cost of each company the same is 30 miles.

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No extraneous solution.

We have to find the extraneous solution to the equation:

5 - 2[tex]\sqrt{x}[/tex] = 3

Now we have to find the value of x.

2[tex]\sqrt{x}[/tex] = 2

[tex]\sqrt{x}[/tex] = 1

x = 1

Now we have to put the value of x in the equation

5 - 2[tex]\sqrt{1}[/tex] = 3

5 - 2 = 3

3 = 3

Therefore we get no extraneous solution to the equation. x = 1 is the solution of the equation.

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The  length of JK = 3√3

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.

Given:

angle = 60

JL = 6√3

JK= x

Now, using trigonometry

cos [tex]\theta[/tex] = B/ H

cos 60 = x/ 6√3

1/2= x/ 6√3

x= 6√3/2

x= 3√3

Hence, the length of JK = 3√3

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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:

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

Step-by-step explanation:

Hope this helps

Answer:

a) 2/3p

b) q + 1/2p

Step-by-step explanation:

Answer:

They are not equal

Step-by-step explanation:

the first one equals 0

the second one equals 12

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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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: do i remember how to do this... no

Step-by-step explanation:

Larger boxes may hold more or fewer balls than smaller ones. The answer to this question must be a sphere because they have the lowest volume value.

Volume is the quantity of three-dimensional space occupied by a liquid, solid, or gas.. Although there are many different units that can be used to indicate volume, the most common ones are liters, cubic meters, gallons, milliliters, teaspoons, and ounces.

According to the information provided,

One should calculate the volumes of the figures to find out if the larger box will carry more cubes or spheres, and the result that yields the smaller value must be the solution.

    Volume of cube = (edge)³ = (2 in)³

                                 = 8 in³

   Volume of sphere = (4πr³)/3

     where r is the radius and is equal to half of the length of the sides. Substituting,

            Volume of sphere = (4π)(1 in)³ / 3 = 4.19 in³

Since spheres give the smaller value for volume, the answer to this item would have to be SPHERE.

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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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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

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

Step-by-step explanation: