Somebody please help me with this math question and I’ll give you 26 points please if you are going to submit links do not answer me thank you

337 were senior citizens.

What is the system of equations?

A system of equations, also known as an equation system or a set of simultaneous equations, is a finite set of equations for which common solutions are sought.

Here, we

Let

x = the number of adult tickets sold

y = the number of senior tickets sold

483 people paid admission => a total of 483 tickets were sold and

x + y = 483

the total receipts were $7548

24x + 12y = 7548

by solving the system of equations

x + y = 483....(1)

24x + 12y = 7548....(2)

From equation (1), we get

x = 483-y....(3)

Now, we put the value of x in equation (2) and we get

24(483 - y) +12y = 7548

11592 - 24y + 12y = 7548

12y = 4044

y = 337

Now, we put the value of y in equation (1) and we get

x = 483 - 337

x = 146

Hence, 337 were senior citizens.

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Answer:

1950 to 1955, and 1958 to the present

Step-by-step explanation:

did the assignment

Answer:

D. 1950 to 1955, and 1958 to the present

Step-by-step explanation:

edge 2020

We have the equations :

To solve graphically, we should plot the graph of the equation on the same graph.

For y = x-2

We can obtain two points to plot the graph of y = x-2

At x= 0:

At y= 0:

We have the points : (0,-2) and (2,0)

For 2x + y =1

At x = 0:

At y = 0:

We have the points : (0, 1) and (1/2, 0)

Plotting these points gives the graph shown below:

From the graph, we have the point of intersection of the two lines as (1,-1)

Hence, the solution to the system of equation is (1, -1)

Answer:The phrase "20 decreased by the sum of 6 and b." means that since the word sum is the word for the result of two numbers being added together, it would make sense if you look at ( 6 + b ), and since you're also decreasing the result by 20, that would mean subtracting it by 20, so you get 20 - ( 6 + b ).

The slope of the line is 2 and Jan runs 2 laps for every minute.

The slope of the line is defined as the change in the y-coordinate with respect to the x- coordinate and the formula for slope is given by

Where (x₁, y₁) and (x₂, y₂) are points where the line passes through.

Here we have

The graph shows the number of laps that Jan runs  

From the graph,

The line that represents the situation will pass through (2, 4) and (5, 10)

Using the formula, Slope (m) = (y₂ - y₁) / (x₂ - x)  

Slope of the line = [10 - 4]/[5 - 2 ] = 6/3 = 2

This means that Jan runs 2 laps for every 1 minute  

Therefore,

The slope of the line is 2 and Jan runs 2 laps for every minute.

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Answer:

First Blank: 1

Second Blank: -1 (x-3)

Third Blank: -1

Step-by-step explanation:

Edge2020

The value of (3 + x) / (x + 3) = 1

The numerator of the expression (3 - x) / (x - 3) can be written as,

⇒ - 1 (x - 3)

The value of (3 - x) / (x - 3) = - 1

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression are,

⇒ (3 + x) / (x + 3) and (3 - x) / (x - 3)

Now, We can solve as;

The value of (3 + x) / (x + 3) is,

⇒ (3 + x) / (x + 3) = (x + 3) / (x + 3)

                          = 1

And, The numerator of the expression (3 - x) / (x - 3) can be written as,

⇒ (3 - x) = - 1 (x - 3)

And, The value of (3 - x) / (x - 3) is,

⇒ (3 - x) / (x - 3) = - (x - 3) / (x - 3)

                        = - 1

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Answer:

1

Step-by-step explanation:

Answer:

12.7

Step-by-step explanation:

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

Explanation:

Let r be the common ratio. Also, we'll make r nonzero, i.e. \(r \ne 0\)

Multiplying this common ratio by any term gets us the next term of the geometric sequence.

16/9 is the first term, so that makes (16/9)*r the second term

Since (16/9)r is the second term, the third term is (16/9)r*r = (16/9)r^2

Set this equal to 1 and solve for r.

(16/9)r^2 = 1

r^2 = 1*(9/16)

r^2 = 9/16

r = sqrt(9/16) or r = -sqrt(9/16)

r = 3/4 or r = -3/4

Now that we know what r is, we can determine the second term

If r = 3/4, then,

(16/9)*r = (16/9)*(3/4) = 4/3

Or if r = -3/4, then,

(16/9)*r = (16/9)*(-3/4) = -4/3

So the second term is either 4/3 or -4/3 depending on which r value you go for.

The probability p of rolling a 5 at least once in 16 rolls is:

p = 1 - (5/6)^16

The probability of rolling a 5 on a fair six-sided die is 1/6, since there are 6 equally likely outcomes (numbers 1 to 6) and only one of them is a 5.

If we roll the die 16 times, each roll is an independent event. Therefore, the probability of rolling a 5 on any given roll remains 1/6.

To find the probability p that a 5 will occur at least once in 16 rolls, we can use the complement rule. The complement of the event "rolling a 5 at least once" is the event "not rolling a 5 in any of the 16 rolls."

The probability of not rolling a 5 on a single roll is 5/6. Since each roll is independent, the probability of not rolling a 5 in all 16 rolls is (5/6) raised to the power of 16.

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There can be 36 combinations.

The total number of combinations of the dial can be found by using permutations without any number repeating.

There are four integers on the dial. They are 0, 1, 2, and 3.

It is also given that the numbers shouldn't repeat on the adjacent dial.

Therefore, we can say that there are 4 possible numbers on the first.

Similarly, on the second dial, only 3 numbers are possible since no two adjacent dials can have the same.

This is also the case for the third dial. It can also have 3 possible numbers.

Therefore, the total number of combinations is given by 4*3*3 = 36 combinations.

Therefore, we have found that there can be 36 combinations.

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Answer:

Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"

Answer:

67.5

Step-by-step explanation:

I hope this helps!

In the diagram, m∠7=30°, m∠8=3x°, and m∠9=(4x−10)°.Then the value of x is 40

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given,

m∠7=30°,

m∠8=3x°, and

m∠9=(4x−10)°.

We need to find the value of x.

The triangle external angle theorem states that: An exterior angle of a triangle is equal to the sum of the opposite interior angles

In this problem

m∠9=m∠7+m∠8

substitute the given values

4x−10=30°+3x°

4x-3x=30+10

x=40

Hence, the value of x is 40°.

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Answer: 18

Step-by-step explanation:

The measure of spread that is not included in the given options is the median. Therefore, the answer is "the median."

Measures of spread, also known as measures of dispersion, provide information about the variability or spread of a dataset. The interquartile range (IQR) and the range are both measures of spread.

The IQR represents the range of the middle 50% of the data and is calculated as the difference between the third quartile and the first quartile. The range is the simplest measure of spread and is calculated as the difference between the maximum and minimum values in the dataset. On the other hand, the median is a measure of central tendency and represents the middle value in a sorted dataset.

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Answer:

The answer is 1.30(4) + 4.25(1) = 9.45

Step-by-step explanation:

1. Identify each number into the mathematical equation.

1.30 represents the price of each Dr. Pepper

4.25 represents the price of each box of blueberries

4 is the amount of Dr. Peppers the speaker is buying

Since there is only a box of blueberries, the number is just 1.

2. making the equation

There will be 4 Dr. Peppers that will cost $1.30, forming the equation 1.30(4)

Since there is only 1 box of blueberries, it will , form the equation 4.25(1)  

3. Combing the equation

Since they are two different objects, they will be separate numbers that will add into each other to form the total.

The Equation is 1.30(4) + 4.25(1) = 9.45

(1.30*4= 5.2 + 4.25 = 9.45)

Answer:

11, 25

Step-by-step explanation:

n is a number

2n + 3 is the other number

n + 2n + 3 = 36

Answer:

Step-by-step explanation:

let duke be x years

dora be 7+x years

and emeka be 3(7+x) years

according to question ur equation is

3(7+x)+7+x+x=38

21+3x+7+2x=38

28+5x=38

5x=38-28

x=10/5

x=2

Answer:

Step-by-step explanation:

3(7+x)+7+x+x=38

21+3x+7+2x=38

28+5x=38

5x=38-28=10

D.b.s by 5

10÷5=2

Approximately 34% of American adults have a mobile phone but not a landline, based on the given proportions from the study conducted by the Centers for Disease Control.

The proportion of American adults who have a mobile phone but not a landline, we need to subtract the proportion of those who have both a mobile phone and a landline from the proportion of those who have a mobile phone.

Let's denote the proportion of American adults who have a mobile phone as P(M), the proportion who have a landline as P(L), and the proportion who have neither as P(N).

Given information:

P(M) = 89% (proportion with a mobile phone)

P(L) = 57% (proportion with a landline)

P(N) = 2% (proportion with neither)

We can now calculate the proportion of adults who have a mobile phone but not a landline using the following equation:

P(M and not L) = P(M) - P(M and L)

To find P(M and L), we can subtract P(N) from P(L) since those who have neither are not included in the group with a landline:

P(M and L) = P(L) - P(N)

P(M and L) = 57% - 2%

P(M and L) = 55%

Now we can substitute the values back into the equation to find P(M and not L):

P(M and not L) = P(M) - P(M and L)

P(M and not L) = 89% - 55%

P(M and not L) = 34%

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Answer:

\(-\frac{1}{5} t^{15}\)

Step-by-step explanation:

sry if im wrong

Answer:

The answer would be y=-5/3x-5!

Step-by-step explanation:

You want to make the equation to y=mx+b, so you have to make y by its self. Subtract 5x from both sides and you'll get 3y=-5x-15. Now divide 3 by both sides and you'll get y=-5/3x-5 which would be the answer!

Answer:

y=(-5/3)x-5

Step-by-step explanation:

so the slope intersect form is y=mx+b

3y+5x=-15

subtract 5x from both sides

3y= -5x-15

divide both sides by 3

y= (-5/3)x - 5

The transpose of A⁻¹ is the inverse of the transpose of A⁻¹, which implies that if A⁻¹ is orthogonal, then A is orthogonal. Therefore, we have shown that the matrix A is orthogonal if and only if its transpose A⁻¹ is orthogonal.

To find the orthogonal projection of vector w into the plane spanned by vectors u and v, we need to calculate the projection vector proj_w(uv).

First, we calculate the normal vector n of the plane. The normal vector is obtained by taking the cross product of vectors u and v:

n = u x v

= (1, 0, -1) x (4, 3, -2)

The cross product can be calculated as follows:

n = ((0)(-2) - (-1)(3), (-1)(4) - (1)(-2), (1)(3) - (0)(4))

= (-3, -6, 3)

Next, we normalize the normal vector n to obtain the unit normal vector n:

n = n / ||n||

= (-3, -6, 3) / √(9 + 36 + 9)

= (-3, -6, 3) / √54

= (-1/√6, -2/√6, 1/√6)

Now, we can calculate the projection of vector w onto the plane using the formula:

proj_w(uv) = w - ((w · n) / (n · n)) * n

The dot product of w and n is given by:

w · n = (2)(-1/√6) + (3)(-2/√6) + (-2)(1/√6)

= -2/√6 - 6/√6 - 2/√6

= -10/√6

The dot product of n and n is:

n · n = (-1/√6)(-1/√6) + (-2/√6)(-2/√6) + (1/√6)(1/√6)

= 1/6 + 4/6 + 1/6

= 6/6

= 1

Substituting these values into the projection formula, we have:

proj_w(uv) = (2, 3, -2) - ((-10/√6) / 1) * (-1/√6, -2/√6, 1/√6)

= (2, 3, -2) + (10/√6)(-1/√6, -2/√6, 1/√6)

= (2, 3, -2) + (-10/6, -20/6, 10/6)

= (2, 3, -2) + (-5/3, -10/3, 5/3)

= (2 - 5/3, 3 - 10/3, -2 + 5/3)

= (1/3, 1/3, -1/3)

Therefore, the orthogonal projection of vector w into the plane spanned by vectors u and v is (1/3, 1/3, -1/3).

Now, let's prove the statement that the matrix A is orthogonal if and only if its transpose A⁻¹ is orthogonal.

To prove this, we need to show two conditions:

If A is orthogonal, then A⁻¹ is orthogonal:

If A is orthogonal, it means that A · A⁻¹ = I, where I is the identity matrix.

Taking the transpose of both sides, we have (A · A⁻¹)ᵀ = Iᵀ, which simplifies to (A⁻¹)ᵀ · Aᵀ = I.

This shows that the transpose of A⁻¹ is the inverse of the transpose of A, which implies that if A is orthogonal, then A⁻¹ is orthogonal.

If A⁻¹ is orthogonal, then A is orthogonal:

If A⁻¹ is orthogonal, it means that (A⁻¹) · (A⁻¹)ᵀ = I, where I is the identity matrix.

Taking the transpose of both sides, we have ((A⁻¹) · (A⁻¹)ᵀ)ᵀ = Iᵀ, which simplifies to ((A⁻¹)ᵀ) · (A⁻¹) = I.

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Answer:

well obviously one notebook cost $0.65

Step-by-step explanation:

so we would multiply 0.65x5

and u get $3.25 all together

Answer:

divison i believe

Answer: Multiplication Property of Equality

Answer:

1³ = 1

2³ = 8

3³ = 27

4³ = 64

5³ = 125

6³ = 216

Step-by-step explanation:

Answer:

The cube of first six natural numbers are

1, 8, 27, 65, 125, 216

Step-by-step explanation:

Natural Numbers are known as 1, 2, 3, 4, ..., ∞

Now,

For Cube of first six natural numbers

1³ = 1

2³ = 8

3³ = 27

4³ = 64

5³ = 125

6³ = 216

Thus, The cube of first six natural numbers are

1, 8, 27, 65, 125, 216

-TheUnknownScientist

The internal generated voltage (E_b) is given by:

\[E_b = K \phi N \left(\frac{Z}{2}\right)\]

! Here are the equations for the armature voltage, output voltage, output current, and internal generated voltage of a cumulatively compounded DC generator with a long-shunt connection:

(a) Armature voltage:

The armature voltage (V_A) is given by:

\[V_A = E_b - I_a R_a\]

where:

\(E_b\) = Generated emf

\(I_a\) = Armature current

\(R_a\) = Armature resistance

(b) Output voltage:

The output voltage (V_o) is given by:

\[V_o = E_b - I_a (R_a + R_{se})\]

where:

\(R_{se}\) = Series field resistance

(c) Output current:

The output current (I_0) is given by:

\[I_0 = I_L + I_{sh}\]

where:

\(I_{sh}\) = Shunt field current

(d) Internal generated voltage (emf):

The internal generated voltage (E_b) is given by:

\[E_b = K \phi N \left(\frac{Z}{2}\right)\]

where:

\(K\) = Constant of proportionality

\(\phi\) = Flux per pole

\(N\) = Armature speed per minute

\(Z\) = Total number of conductors

Please note that the flux per pole in a cumulatively compounded DC generator increases with load because the flux produced by the series field winding increases with the load.

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