Cian is buying movie tickets for a group. He wants to have at least 30 tickets and spend no more than $400. Adult tickets cost $12.50 and child tickets cost $7.50. Which system of inequalities can be used to find the number of each type of ticket Cian could buy?

A. x + y ≥ 30
7.5x + 12.5y ≤ 400

B. x + y ≤ 30
7.5x + 12.5y ≥ 400

C. x + y ≥ 30
7.5x + 12.5y ≥ 400

D. x + y ≤ 30
7.5x + 12.5y ≤ 400​

Answer:

g = 68

Step-by-step explanation:

g/4 + 11 = 28

subtract 11 from both sides:

g/4 + 11 - 11 = 28 - 11

g/4 = 28 - 11

g/4 = 17

multiply both sides by 4:

4(g/4) = 4(17)

g = 68

Step-by-step explanation:

Monday to Friday = 5x

Saturday = y

Sunday = z

Per week, he works 5x + y + z hours.

Answer:

Step-by-step explanation:

Using PEMDAS order of operations:

ParnthesesExponentMultiplyDivideAddSubtract:

10 2 - 2 (8) + 11

(I am assuming that you mean 10 * 2):

10 * 2 - 2 (8) + 11

= 20 - 16 + 11

= 4 + 11

= 15.

The coordinate of the point N that divides the line segment MP will be (9, -5).

Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divides the line segment in the ratio of m:n. Then we have

x = (mx₂ + nx₁) / (m + n)

y = (my₂ + ny₁) / (m + n)

The coordinates of the endpoint are (-6, 5) and (21, -13). And the ratio is 5:4. Then the coordinate of the point N is given as,

x = (21 × 5 + (-6) × 4) / (5 + 4)

x = 81 / 9

x = 9

y = ((-13) × 5 + 5 × 4) / (5 + 4)

y = - 45 / 9

y = - 5

The coordinate of the point N that divides the line segment MP will be (9, -5).

More about the section of the line link is given below.

https://brainly.com/question/6582647

#SPJ1

At x = 4, the function f(x) = (x2 - 16)/(6x - 24) discontinues.

When a number is 0 in the numerator as well as the denominator, a point of discontinuous is reached. There's an point of disconnection there since both the exponent and the denominator are zeros. Plug into the last simplified equation to obtain the value, where is the region of discontinuous.

We are given the function as;

f(x) = (x² - 16)/(6x - 24)

We must find the function's discontinuities.

Now, when x = 4, the fraction 6x - 24 equals 0.

This means that the function is now incomplete when x = 4.

To know more about discontinuity visit :

https://brainly.com/question/28783981

#SPJ4

Answer: 17 - 9/7j

Step-by-step explanation:

Look, simplifying is really easy! Just go along and learn!

14 + (-4) - 6/7j - 3/7j + 7

The (+,-) rule, remember the minus always overides the plus no matter what.

6 + 3 = 9 So, -6 - 3 = -9

14 - 4 -9/7j + 7

14 - 4 = 10

10 + 7 - 9/7j

10 + 7 = 17

17 - 9/7j

This would be your simplified answer.

we can add 2 to both sides to get 3y = -y2 + 2, which simplifies to 3y = -(y2 - 2).

5y + 2(3y − 1) = 8y - (y2)

5y + 2(3y - 1) can be rewritten as 5y + 6y - 2.

Then, we can combine like terms on the left side to get

11y - 2.

On the right side, we can combine like terms to get 8y - y2.

Now, we have 11y - 2 = 8y - y2. We can subtract 8y from both sides to get 3y - 2 = -y2.

Finally, we can add 2 to both sides to get 3y = -y2 + 2, which simplifies to 3y = -(y2 - 2).

Learn more about simplify here

https://brainly.com/question/17453188

#SPJ4

Answer:

x=25

Step-by-step explanation:

The option that gives the number of solutions to the system of equations is given as follows:

A. One solution.

For a system of linear equations, the system is composed by multiple lines, and the number of solutions is defined according to the features of the lines.

The possible numbers of solutions are given as follows:

From the graph given in this problem, we have that the two lines intersect at one point, hence the system of equations has one solution and the correct option is given by option A.

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

A. The equation that can be used to represent the side a of the cube is a³ = 343.

B. The value of a is 7 units.

The diagram above is a cube . A cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.

Therefore, the cube has a volume of 343 cm³.

Hence, the equation that can be used to represent the side a of the cube is as follows:

volume of a cube = l³

where

Therefore,

volume of the cube = a³

343 = a³

Let's solve the equation.

343 = a³

a³ = 343

cube root both sides

a = ∛343

a = 7 units

learn more on cube here: https://brainly.com/question/27294847

#SPJ1

The evaluation of the function with which the number of players leading and informed can be found, is prevented as follows;

(a) The stage of the information

(d) The number of leaders and players informed

(c) The function using function notation is P(x) = 2 × 3⁽ˣ⁻¹⁾

(d) We can say that the number of players and leaders depend on the stage of the information

(e) The statement P(4) = 54 indicates that in stage 4, 54 people are informed

(f) Domain; [1 , ∞)

Range; [2, ∞)

(g) The shape of the graph is the curved shape of an exponential function un which the asymptote is an horizontal line

An exponential function is a function in which the argument is an index of a constant of the form f(x) = a·bˣ

(a) The independent variable is the input variable, which is the stage of the calling process

(b) Dependent variable is the output variable, which is the number of leaders and players who are informed

(c) The specified function that represents the number of players who are informed, is presented as follows;

P = 2 × 3ˣ⁻¹

Where;

P = The number of players informed

x = The of information of the players

Expressing the above function using function notation, we get;

P(x) = 2 × 3ˣ⁻¹

(d) We can say that the number of players and leaders informed is a function of the stage of the information

(e) The meaning of the equation P(4) = 54 is that at stage 4, the number of layers and leaders informed is 54

(f) The domain of the function P(x) = 2 × 3ˣ⁻¹ is the set of all positive integers equal to or larger than 1 or Z⁺ {1, 2, 3, ...}

The range of the function is the set of integers, such that 2 ≤ x ≤ ∞

(g) Please find attached the graph of the function created with MS Excel

The attached graph of the function indicates that the shape of the graph is the graph of an exponential function, which is non linear and has a horizontal asymptote , but does not have a vertical asymptote.

Learn more on the graph of a function here: https://brainly.com/question/16944741

#SPJ1

Answer:

Account A = $20.8

Account B = $

Step-by-step explanation:

how much is the principal in each​ account?

Formula  = (P x R x T)/100

Account A: -

2.00 = P(3.2)(3) / 100

(2 x 100) / (3.2 x 3) = P

P = $ 20.8

Account B: -

20.7 = P(3.2)(18) / 100

(20.7 x 100) / (3.2 x 18) = P

P = $35.9

Which account earned you the most interest the first​ month?

Account A: -

3 months ----> $2

1 month ----> $x

x = 2 / 3

x = $0.67

Account B: -

18 months ----> 20.7

1 month ----> $y

y = 20.7 / 18

y = $1.15

Account B has earned more as 1.15 > 0.67 ( 1.15 IS greater than 0.67)

I hope my answer helps you.

The number of boxes Anica need to pack all the stuffed animals is 3.

Given that, Anica has 13 stuffed animals, and each box holds 5 animals.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here,

Number of boxes completely filled =13/5

5|13|2
  10
_____

   3

3 animals are left

Therefore, the number of boxes Anica need to pack all the stuffed animals is 3.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ1

Answer:

For the first one, shade in 1 circle at the start

Then shade in 9/4 more, so you would fully shade 2 more because every 4 equals 1.

Then shade 1 quarter of the next circle, or 1 of the 4 portions of the next circle.

____________________________________

For the second one, shade in 2 circles at the start

Then shade 8/5 more, so fully shade one more because every 5 numbers equals one shaded circle.

Then shade 3/5 of the next circle. So you would shade 3 of the 5 portions of the circle

The price that is the Second standard above the mean, if the mean is $10000  and the standard deviation is $500 is $18000.

The central tendency along the median and mode of a probability distribution is measured by the mean. It is also known as "expected value."

Given:

The mean, m = $17000,

The standard deviation, σ = $500

Calculate the second standard deviation as shown below,

Second standard deviation  = mean + 2 × standard deviation

Second  standard deviation = 17000 + 2 × 500

Second  standard deviation = 17000 + 1000

Second  standard deviation = $18000

Therefore, the price that is the Second standard above the mean, if the mean is $10000  and the standard deviation is $500 is $18000.

To know more about mean:

brainly.com/question/2810871

#SPJ1

the formula as one logarithm with a coefficient of 1 with a expression. assume all variables represent positive real numbers. 1/4logbx^5y^7-4/7logbx^4y is logbx^4y^11/28

Since the coefficients of the expression of two logs are not the same, we need to adjust the exponents in order to combine them into one logarithm. Since the first logarithm has a coefficient of 1/4, we multiply the exponent of the second logarithm by 4/7 to get 4/7*4 which is equal to 4. We then add 4 to the exponent of the first logarithm to get 11. This gives us a combined logarithm of logbx^4y^11/28.

Learn more about expression here

https://brainly.com/question/14083225

#SPJ4

Answer:

Below

Step-by-step explanation:

You need to draw a diagram of the described situation ( see below) ...then you can see the Law of Cosines will give you the answer:

Answer:

x = 16

Step-by-step explanation:

If the lines were parallel then (12x - 50) and (8x + 14) are alternate angles and are congruent , then

12x - 50 = 8x + 14 ( subtract 8x from both sides )

4x - 50 = 14 ( add 50 to both sides )

4x = 64 ( divide both sides by 4 )

x = 16

For a and b to be parallel then x = 16

The interest rate for Rebeka's account is 5%.

What is the meaning of interest rate?

The amount that the lender charges the borrower over and beyond the principal amount is referred to as the interest rate. A person who deposits money in a bank or other financial institution also earns additional income in terms of the recipient, known as interest, taking into account the time value of money.

Given that, Rebeka deposits $1500. She earn $131.25 as interest after 21 months.

The formula of simple interest is

I = PRT

I = interest

P = Principal

R = Rate of interest

T = time

In the given question,

P = $1500

I = $131.25

T = 21 months = 21/12 years.

Putting P = $1500, I = $131.25, T = 21/12 years in I = PRT:

131.25 = 1500 × R × (21/12)

Divide both sides by 1500 × (21/12):

R = 131.25 /[1500 × (21/12)]

R = [131.25 × 12] /[1500 × 21]

R = 0.05

R = 5%

To learn more about simple interest, click on below link:

https://brainly.com/question/11564235

#SPJ1

Answer:

The third one

Step-by-step explanation:

Answer:

The 2nd one

Step-by-step explanation:

So the absolute value of x is either -x or x, saying that we don't know if x is positive or negative,

so |x|+1<3 means that |x|<2, so I would say its the 2nd one.

Answer:

Step-by-step explanation:

758 +630+7+105=1400 ^

Answer: A

the total employees in the company is

                  758 + 530 + 7 + 105 = 1400 (employee)

the percent of the employees walk to work is

                  7/1400.100% = 0,005 . 100% = 0,5%

Step-by-step explanation:

The cost of each shirt and pair of pants is $11 each.

Let us represent the shirt by x and pair of pants by y. So forming the equation based on the information. Equation for items bought by me -

x + 3y = 44 : Equation 1

Equation for items bought by my friend -

3x + y = 44 : Equation 2

Performing multiplication of equation 1 with 3

3x + 9y = 132 : Equation 3

Performing subtraction of equation 2 from equation 3

3x + 9y = 132

3x + y = 44

We get -

9y - y = 132 - 44

8y = 88

y = 88/8

Performing division

y = 11

Keep the value of y in equation 1

x + 3×11 = 44

x + 33 = 44

x = 44 - 33

x = 11

Hence, both of these items cost $11.

Learn more about equations -

https://brainly.com/question/2972832

#SPJ4

The function f(x) = x + 5x + 1 has exactly one zero in the interval (-1, 0). To prove this, we can use the Intermediate Value Theorem.

This theorem states that if a function f(x) is continuous on an interval [a, b] and if its values at a and b have opposite signs, then there exists at least one root (zero) of the function in the interval (a, b). Therefore, since f(-1) = -6 and f(0) = 1, both of which have opposite signs, the Intermediate Value Theorem can be used to conclude that there exists at least one root of the function in the interval (-1, 0).

Furthermore, since the function is a quadratic function of the form f(x) = ax2 + bx + c, it is known that a quadratic equation can have at most two roots (zeros) (in a given interval). Therefore, since the Intermediate Value Theorem implies that the function f(x) has at least one zero in the interval (-1, 0), it follows that the function has exactly one zero in the interval (-1, 0).

Learn more about quadratic equation at : https://brainly.com/question/17177510

#SPJ4

a = 3 cm

b = 4 cm

c = ?

c = √{ a² + b² }

c = √{ 9 + 16 }

c = 5 cm

_____

Answer:

5cm

Step-by-step explanation:

You use the Pythagoras theorem

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {3}^{2} + {4}^{2} = {c}^{2} \\ 9 + 16 = {c}^{2} \\ 25 = {c}^{2} \\ \sqrt{25} = \sqrt{ {c}^{2} } \\ 5 = c \\ c = 5[/tex]

Math

-

Because point B is midpoint of AC , so AB = BC . Therefore :

8x + 4 = 10x - 6

10x - 8x = 4 + 6

2x = 10

x = 5 ✓

_____

Answer:

5

Step-by-step explanation:

Knowledge Needed

Use PEMDAS

Parenthesis

Exponents/Roots

Multiplication & Division

Addition & Subtraction

This means you do parenthesis first, exponents second, etc.

Clearing up a Common Misconception: Multiplication is not is not in front of division, same with addition and subtraction. When it comes to this, the order is left to right.

Question

2(11-4)-3^2

Parenthesis

2(7)-3^2

Exponents

2(7) - 9

Multiplication/Division

14 - 9

Subtraction

5

False, one of the most pieces of information with a var is whether each estimated coefficient for the lags is statistically significant (t-tests)

A statistical test called a t-test is employed to compare the means of two groups. It is frequently employed in hypothesis testing to establish whether a procedure or treatment truly affects the population of interest or whether two groups differ from one another.

To know more about the T-test visit here:

https://brainly.com/question/17438355

#SPJ4

The starting value of an algorithm used to generate a range of numbers is called as Seed .

A pseudo-random number generator (PRNG) is a technique that generates random number sequences using mathematical formulas. A series of numbers that closely resemble the characteristics of random numbers are produced by PRNGs. A Seed state is used by a PRNG to start from any starting state. If the beginning of the series is known, many numbers are created quickly and can also be repeated later. As a result, the numbers are accurate and deterministic.

To know more about pseudo-random number generator click on below link:

https://brainly.com/question/28529058#

#SPJ4

There is no association between the two variables if the correlation is 0.hintlinks to an external site. textbook pageslinks to an external site is False statement.

A correlation of zero means that there is no linear relationship between two variables, however, this does not necessarily mean that there is no relationship at all. It's crucial to keep in mind that correlation does not equal causation.For example, two variables may have no linear relationship, but still be related in some way, such as through a third variable or a non-linear relationship. Therefore, correlation does not necessarily mean that there is no relationship between two variables.

Learn more about correlation here

https://brainly.com/question/28898177

#SPJ4

Answer: D. 550

Step-by-step explanation: Among the choices, 550 is the right answer, because simply it is divisible by 2, 5, and 10, unlike the other choices that are not divisible by 2, 5, or 10.

550 ÷ 10 = 55

550 ÷ 5 = 110

550 ÷ 2 = 275