solve 12n + 7p - 6n = 25p for n

The measure of ∠EBD from the given figure is 26°.

Given that, m∠ABD=104°, BC bisects ∠ABD, and BE bisects ∠CBD.

An angle bisector is defined as a ray, segment, or line that divides a given angle into two angles of equal measure. The word bisector or bisection means dividing one thing into two equal parts.

Since BC bisects ∠ABD, we get ∠ABC=∠CBD

So, ∠ABD=∠ABC+∠CBD

⇒2∠CBD=104°

⇒∠CBD=52°

Here, BE bisects ∠CBD, we get ∠CBE=∠EBD

So, ∠CBD=∠CBE+∠EBD

⇒2∠EBD=52°

⇒∠EBD=26°

Therefore, the measure of ∠EBD from the given figure is 26°.

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In each game, the probability that player A wins the game is 13/20 and player B wins the game is 7/20.

To find the probability:

Therefore, in each game, the probability that player A wins the game is 13/20 and player B wins the game is 7/20.

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The rate of change for each set of ordered pairs is:

a. 1/2

b. 3

c. 7

The average rate of change = change in y / change in x.

Average rate of change for (2,3.5), (6,5.5):

Average rate of change = (5.5 - 3.5)/(6 - 2) = 2/4 = 1/2

Average rate of change for (-1,0), (0, 3):

Average rate of change = (3 - 0)/(0 - (-1)) = 3/1 = 3

Average rate of change for (3,-3), (4,4):

Average rate of change = (4 -(-3))/(4 - 3) = 7/1 = 7

Therefore, the rate of change for each set of ordered pairs is:

a. 1/2

b. 3

c. 7

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Answer:

1. DNE

2. DNE

3. (-2, inf)

4. (-3,-2)

Step-by-step explanation:

Answer:

I am not sure myself but I think the answer is 2.3 hours per week.

The slope intercept form of the equation 12x ₊ 8y = ₋24 is

y = ₋3/2 x ₋ 3

Given the equation is 12x ₊ 8y = ₋24

we are asked to convert the given equation into slope intercept form.

Finding a line's equation requires using the slope-intercept form of a straight line. We must know both the line's slope and the point at which the line crosses the y-axis in order to use the slope-intercept formula.

12x ₊ 8y = ₋24

⇒ 12x ₊ 8y ₊ 24  = 0

we re-arrange the equation of the line to write it in the standard form

y = mx + b.

12x ₊ 8y = ₋24

8y = ₋12x ₋ 24

now divide the terms on the right side by 8.

y = ₋12x/8 ₋ 24/8

y = ₋3/2x ₋ 3

hence we get the slope intercept form as y = ₋3/2x ₋ 3, where m=s₋3/2 and b = ₋3

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Answer:

I don't know to be honest

Step-by-step explanation:

that's great

The standard deviation is a measure of a collection of values' variance or dispersion. The correct option is C, standard deviation.

The standard deviation is a measure of a collection of values' variance or dispersion. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.

Shifting data, by adding a constant to each data value, do not change the standard deviation. This is because the standard deviation is a measurement of how much a group of values varies or is dispersed.

Hence, the correct option is C, standard deviation.

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Considering the definition of an equation and the way to solve it, the cost of one hot wing is $0.6.

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The solution of a equation means determining the value that satisfies it and the equality must be true.

To solve an equation, keep in mind:

Being "x" the cost of one hot wing, and knowing that:

the equation in this case is:

First customer payment= Second customer payment

8x +4= 10x +2.80

Solving:

4 - 2.80= 10x - 8x

1.2= 2x

x= 1.2 ÷ 2

x=0.6

Finally, the cost of one hot wing is $0.6.

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Answer:

Step-by-step explanation:

Look at the File I attached. The Question says that a car travels 76 km north then 25 km east. Now think of this as the Right angled triangle I attached in the file.

a) Bearing from the staring point to the means the degrees of the part i marked with a question mark.

Now SOH CAH TOA

76 km is the ADJACENT

25 km is the OPPOSITE

and x is the HYPOTENUSE

We have the values of the ADJACENT and the OPPOSITE.

Now see which rule has both, It is TOA(tan rule) which is:

tan(y) = OPPOSITE/ADJACENT     (y is the degrees we will get)

tan(y) = 25/76  ( opposite of the degree we need is 25 and adjacent is 76)

tan inverse(25/76) = y  (inverse will be given as to the power -1 on the calculator)

FINAL ANSWER OF (a) = 18.21°

b) This part is asking for the length of the hypotenuse, which i denoted as x in the attached file.

For this part, you will use the Pythagoras Theorem

Which is :

   a² + b² = c²

Where c is the hypotenuse and a and b are the opposite and adjacent.

So

    76² + 25² = x²

     6401 = x²

  √6401 = x

     x = 80.01

We need to know about rate of change to solve the problem. The rate of change of population between 2002 and 2004 is -6.098% . The rate of change of population between 2002 and 2006 is -4.88%

The rate of change of something can be calculated by dividing the difference between the final amount and the initial amount by the initial amount. Rate of change is usually calculated as a percentage. We can calculate rate of change of population per year or between any two years. In this question we need to find the rate of change between 2002 and 2004 and also between 2002 and 2006. The initial population in 2002 is 82 and in 2004 it is 77.

rate of change between 2002 and 2004=[tex]\frac{77-82}{82}[/tex]x100=[tex]\frac{-5}{82}[/tex]x100=-6.098%

rate of change between 2002 and 2006=[tex]\frac{78-82}{82}[/tex]x100=[tex]\frac{-4}{82}[/tex]x100=-4.88%

Therefore the rate of change of population between 2002 and 2004 is -6.098% and the rate of change of population between 2002 and 2006 is -4.88%, the rate of change is negative because the population decreases.

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The different ways can a student check off one answer to each question is 1024.

It is required to find the different ways can a student check off one answer to each question.

probability is the ratio of the number of favorable outcomes and the total number of possible outcomes. The chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.

Given:

If a multiple choice test consists of 5 questions each with 4 possible answers of which only one is correct,

,To find  how many different ways can a student check off one answer to each question we have,

: 4^5 = 2^10

= 1024

Therefore, the different ways can a student check off one answer to each question is 1024.

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i am 11th grade

but why?

The expression for the area of a triangle with a height of n and a base of 6 is 6n/2

The formula for calculating the area of a triangle is expressed as:

A = 1/2 bh

where

b is the base of the triangle

h is the height of the triangle

Given the following parameters

base = 6

height = n

Substitute

A = 1/2 × 6 × n

A = 6n/2

Hence the expression for the area of a triangle with a height of n and a base of 6 is 6n/2

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a. The expression of the amount of phosphorus-32 remaining as a function of time t is A(t) = [tex]6.6\left(\frac{1}{2}\right)^{t / 14}[/tex].

b. The time when 1 gram remaining is 38.1145 days.

The half-life is the amount of time it takes for half of a unstable nuclei to decay. Each substance has its own half-life.

Now, as per the question;

Exponential growth is given by the formula;

[tex]A(t)=A_0(1+r)^t[/tex]

Where,

A(t) = amount at time t.

A₀ = Initial amount of the nuclei (= 6.6)

r = rate of increasing( = -1/2; as decay is always negative)

t = time (= t/14)

Part a. Calculate the expression for the amount of phosphorus-32 remaining as a function of time t as-

Substituting all the values in the equation;

[tex]\begin{aligned}&A(t)=6.6\left(1+\left(-\frac{1}{2}\right)\right)^{t / 14} \\&A(t)=6.6\left(\frac{1}{2}\right)^{t / 14}\end{aligned}[/tex]

This is the requires expression.

Part b. Calculate the time there be 1 gram remaining as;

This time can be written as A(t) = 1.

Substitute the value in the equation.

[tex]\begin{aligned}&A(t)=6.6\left(\frac{1}{2}\right)^{t / 14} \\&1=6.6\left(\frac{1}{2}\right)^{t / 14}\end{aligned}[/tex]

[tex]\left(\frac{1}{2}\right)^{t / 14}=\frac{10}{66}[/tex]

Further solving;

t = 38.1145 days.

Thus, the time taken by phosphorus-32 to remain as 1 gram is 38.1145 days.

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Answer:

193.0 mph

Step-by-step explanation:

The average is defined as the sum of the items divided by the number of items.  In this case the sum is 771.888.  If we divide that by the number of items (4) we get 192.972.  However, our answer typically cannot have more significant digits than the element having the least number of significant digits.  Since one of the numbers has only one digit to the right of the decimal point, we would usually want to round our answer to one place as well.  So 192.972 will round to 193.0.

Answer is

(a) She can buy 7 packages of plain coffee or 5 packages of coffee.

(b) f = [tex]\frac{T- 5.50 p}{7}[/tex]

(c) she can buy 3 packages of  flavoured coffee

(a) she spent on coffee is $ 40

amount of money she spends on coffee is 5.50

then, packages of plain coffee = [tex]\frac{40}{5.50}[/tex] ≈ 7.2

      so she buy 7 packages of plain coffee.

she spent on coffee is $ 40  and amount spends on flavoured coffee is 7

then , packages of flavoured coffee = [tex]\frac{40}{7}[/tex] ≈ 5.7

so she can buy 5 packages of flavoured coffee.

(b)According to question ,

T = 5.50 + 7f

so 7f = T - 5.50

then , f = [tex]\frac{T - 5.50}{7}[/tex]

(c) we get the value of f = [tex]\frac{T - 5.50}{7}[/tex]

given that , f is equal to 3

then,  f = [tex]\frac{T - 5.50}{7}[/tex]

           =   [tex]\frac{T - 5.50}{7}[/tex]×3

we get   =  [tex]\frac{T - 16.5}{7}[/tex]

when T is equal to 40

then , f = [tex]\frac{40 - 16.5}{7}[/tex] ≈ 3.35

so she can buy 3 packages of flavoured coffee.

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The manufacturing company has decided to be carbon free by 2030. so, it can reduce its pollution rate by using environmentally friendly equipment to achieve this goal.

Pollution:

The term pollution refers any substance that negatively impacts the environment or organisms that live within the affected environment.

Given,

A manufacturing company has decided to be carbon free by 2030.

Here we need to find the solution to achieve this goal.

To achieve this goal the company can take many measures this includes,

To completely switching to alternative sources of energy. The company can reduce its pollution rate by using environmentally friendly equipment.

By making maximum use of renewable energy in the company, in which energy can be emitted using solar energy, windmill etc.

And by planting more and more trees, the amount of oxygen in our environment should be increased.

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Answer:

Step-by-step explanation:

height of the building

It is realistic that 3 owners spend $720 a year on their graph

Given that

To find

So, according to the question

We can say that,

3 owners are present and,

A pet's annual cost is $720.

So, the option C (Yes, it is realistic that 3 owners spend $720 a year on their pet(s) ) is correct explanation of it.

Because no fractional value can represent the number of owners. Therefore, having 7.2 owners is not feasible and other options showing only one value. So A, B, and D are wrong answer.

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The ratio of the volume of the cylindrical tank to its surface area will be r / 2.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

Let r be the radius and h be the height of the cylinder.

Then the volume of the cylinder will be

V = π r²h cubic units

Then the surface area of the cylinder will be

SA = 2πrh square units

Then the ratio of the volume of the cylindrical tank to its surface area will be

V / SA = π r²h / 2πrh

V / SA = r / 2

The ratio of the volume of the cylindrical tank to its surface area will be r / 2.

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By rearranging the formula using algebraic operations, the value of x is [tex]\frac{y}{4}[/tex] - 1.

When operations like addition, subtraction, multiplication, division, etc. are performed on variables and constants, the result is a mathematical statement known as an algebraic expression.

To find the value of x, use the same operations on both sides of the equation.

For making x the subject  

Divide by 4 on both sides

[tex]\frac{y}{4}[/tex] = (x-1)

On both sides of the equation, add 1.

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

As a result, by rearranging the equations, the value of x is [tex]\frac{y}{4}[/tex] - 1.

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Answer:

yookiiii8bubub7bssh8ss

Answer:

x= 12

Step-by-step explanation:

6x = 72 (÷6)

6x/6 = 72/6

x = 12

The required question for another student is to find out how many goals will be scored by both teams in 90 minutes if the game.

In mathematics, it deals with numbers of operations according to the statements.

Here,

In order to make the question,
1. In a football match, there are two teams competing, team A scoring 1 goal every 10 mins while team B scores 1 goal in every 15 minutes, so find out how many goals will be scored by both the teams in 90 minutes if the game.

Solution;-
For every ten minutes team score a goal so in 90 minutes,
= 90/10 * 1
= 9
Similarly,
For team B
= 90/15 * 1
= 6
Answer:- Thus team A scores 9 goals in a game and team b scores 6 goals.

Thus, the required question, solution, and answer are mentioned above.

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Answer:

21.153

Hope this helps! (:

Answer:

21.153

Step-by-step explanation:

(Don't confuse thousandths for thousands.)

21 + 0.153 = 21.153

Slope of line PQ = -3

Slope of line RS = 3

They are neither parallel nor perpendicular.

If two lines are parallel to each other, they would have the same slope value.

If two line are perpendicular, the slope value of one would be the negative reciprocal of the other.

Slope = change in y / change in x.

Slope of line PQ = (-1 - 14) / (2 - (-3))

Slope of line PQ = -15/5 = -3

Slope of line PQ = -3

Slope of line RS = (-10 - 8) / (-2 - 4)

Slope of line RS = -18/-6

Slope of line RS = 3

The slopes of both lines are different, and are not negative reciprocals of each other, therefore, they are neither parallel nor perpendicular.

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The equation of the line is x = 25, in accordance with the given conditions.

Given:

To find: Equation of the line.

Finding:

Let the equation of the line be: (y - y') = m (x - x'),

where, (x',y') = point through which the line passes and m = slope of the line.

The slope of the first line = [tex]\frac{1}{0}[/tex] , i.e., the y-intercept of this line does not exist and it is a vertical line.

Hence, the equation of the line is 0 = 1 (x - x')

Thus, the equation of the line => 0 = 1 (x - 25)

=> x = 25.

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Answer:

There will be 18 boys.

Step-by-step explanation:

im assuming you are looking for how many boys are left,I did 60% by 30 = 18

Answer:

there are 18 girls

Step-by-step explanation:

one really cool trick is the total like 30 x 0.60 this will give you the percentage