A movie theater has a seating capacity of 253. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 1828 on a sold out night, how many children, students, and adults attended?

children attended=
adults attended=
students attended=

Answer:

x = -1 or x = -5

Step-by-step explanation:

−3 * |2x + 6| = −12 / -3

|2x + 6| = 4

because this is an absolute value equation there are 2 solutions:

2x + 6 = 4 or 2x + 6 = -4

2x = -2 or 2x = -10

x = -1 or x = -5

Answer:

x = -1 or x = -5

Step-by-step explanation:

cuz it is

Answer/Step-by-step explanation:

The figure given shows two triangles.: ∆ADB has two equal base angles while ∆BCD has three equal angles. Therefore, based on their angles, we can conclude that:

∆ADB is an isosceles triangle

∆BCD is an equilateral triangle

Before we add up he outside lengths of Quadrilateral ABCD to find the perimeter, let's recall three properties of each triangle:

Isosceles triangle:

-Has two equal base angles

-The two sides opposite the two equal base angles are also equal to each other

-the their side (base) is unequal to the other

Equilateral triangle:

-Has three equal angles

-Has three equal sides

-Each angle measures 60°

Using these properties, we can determine the outside lengths of quadrilateral ABCD:

AB = 21 (given)

AD = 17 (given)

AD = BD = 17 (equal sides of ∆ADB)

BD = 17

BD = BC = CD = 17 (properties of equilateral triangle)

BC = 17

CD = 17

✔️Perimeter of Quadrilateral ABCD = AB + BC + CD + AD = 21 + 17 + 17 + 17

Perimeter = 72 units

The class had cleaned x × A square miles before lunch.

Let's assume that the area of the park is A square miles, and the portion of the park cleaned by Mai's class before the lunch break is represented by x (a fraction or decimal between 0 and 1).

If the class had cleaned x portion of the park, then the area they had cleaned is x times the total area of the park:

Area cleaned before lunch = x × A

Since x represents a fraction or decimal, multiplying it by the total area A gives us the corresponding portion of the park that was cleaned.

Let's say the park has an area of A square miles, and the area that Mai's class cleaned up before lunch is denoted by the number x (a fraction or decimal between 0 and 1).

If the class had cleaned a certain percentage of the park, their cleaned area would be x times the park's overall area:

Before lunch, the area was cleaned = x A

We may calculate the proportion of the park that was cleaned by multiplying x by the entire area A because it indicates a fraction or decimal.

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Answer:

Step-by-step explanation:

(a) To find the N-intercept, we set t to 0 in the equation N = -0.3t + 250:

N = -0.3(0) + 250

N = 250

Therefore, the N-intercept is (0, 250).

(b) The N-intercept is the point on the graph where the tuition is $0 and represents the number of students who would enroll in the basketball camp if it were free. In this case, if the tuition was $0, 250 students would enroll in the basketball camp.

(c) To find the t-intercept, we set N to 0 in the equation N = -0.3t + 250 and solve for t:

0 = -0.3t + 250

0.3t = 250

t = 250/0.3

t ≈ 833.33

Therefore, the t-intercept is approximately (833.33, 0).

(d) The t-intercept is the point on the graph where the number of students who enroll in the basketball camp is zero and represents the tuition that would need to be charged for no students to enroll. In this case, if the tuition was approximately $833.33, no students would enroll in the basketball camp.

Answer:

x = 120°

Step-by-step explanation:

Since it is a triangle we know that there are three angles that add up to 180° for a triangle.

Two angle which are the same is consider an isosocles triangle.

The third angle should add up to 180 with the two same angle.

Thus,

x + 30° + 30°  = 180°

x + 60° = 180°

x = 180° - 60°

x = 120°

Answer:

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Number of bags = 3

number of bags with $10 bill initially = 2

number of bags with $5 bill initially = 1

assume :

event you pick a $5 bill at first draw = A

event you pick a $5 bill at second draw = B

hence : P ( A n B ) = 1/3 * 1 = 1/3

P( A ) = ( 1/3 * 1 ) + ( 1/3 * 1/2 + 1/3 * 1/2 )  = 2/3

therefore P( that the second drawn bill is $5 )

P( B | A ) = P(A n B ) / P ( A )

              = (1/3) / (2/3) = 1/2

The probability that it, too, is a $ 5 bill is 33.33%.

Since you have 3 bags, and two of them contain a single $ 10 bill, and the third contains a single $ 5 bill, supposing you pick one of these bags uniformly at random and you then add a $ 5 bill to the bag, so it now contains two bills, and the bag is shaken, and you randomly draw a bill from the bag without looking into the bag, supposing it turns out to be a $ 5 bill, if a you draw the remaining bill from the bag, to determine what is the probability that it, too, is a $ 5 bill, the following calculation must be performed:

Therefore, the probability that it, too, is a $ 5 bill is 33.33%.

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Answer:

Greta will be earning 3.6/h more at her new job.

Step-by-step explanation:

To find the difference subract Greta‘s salary from her current job from Greta’s salary from her future job.

To find Greta’s salary (numerator) at her future job divide her current weekly salary ($729) by 45h then multiply that answer (16.2) by the increase in salary 10% or 1.1. You should end up with $17.82- this is your numerator. To find the denominator divide her current hours (45h) by 45 then multiply that answer (1) by 0.9 which is the 10% decrease in hours. Now you have a fraction ($17.82/0.9) then multiply that fraction by 1.1/1.1 to get the denominator to 1 hour so you can subtract the fractions. You should end up with $19.8/h.

Now subtract Greta’s current salary ($16.2/h)- you just take the numbers from the first part before you increase or decrease- from her future salary ($19.8/h), you will end up with 3.6/h.

I was challenged to write this in a single equation:

[((($729\45h)x1.1)/((45h\45)x0.9))x1.1/1.1]-[($729\45h)/(45h\45)]

=$3.6/h

/ means a fraction bar

\ means division

Also I am just a student so please tell me if you find any mistakes I could fix or any suggestions to make this a better explanation, and if you have any questions ask away.

Answer:

52 and 26

Step-by-step explanation:

2x=y

x+y=78

3x=78

x=26

2(26)=y

y=52

To check:

52+26=78

Answer: y>−5

Step-by-step explanation: Let's solve your inequality step-by-step.

−7<2y+3

Step 1: Flip the equation.

2y+3>−7

Step 2: Subtract 3 from both sides.

2y+3−3>−7−3

2y>−10

Step 3: Divide both sides by 2.

2y

2

>

−10

2

y>−5

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

y  >  − 5

Interval Notation:

( − 5 , ∞ )

Step-by-step explanation:

The value of p is 15

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: Davey reads 58 pages on Saturday and on rest of the days p pages per day

Therefore everyday he reads 58+p pages per day

If he reads for 10 days and he reads a total 1408 pages then we have

In a week there is one Saturday

thus

9p+58=1408

9p=1350

p=15

Thus on the other days p is equal to 15 pages per day.

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The complete question is Davey reads 58 pages on Saturday and p pages on other days and on a span of 10 days he reads 1408 pages. Find the value of p.

Answer:

D

Step-by-step explanation:

Standard form is in number form.

For example, the standard form of 12+6 is 18

We need to solve 90,000 + 700,000 + 40,000,000 + 100,000,000 to get the standard form.

\(90000 + 700000 + 40000000 + 100000000 = 140790000\)

The standard form is 140,790,000. So the answer is D.

Hope this helps :)

Have a great day!

The required present value needed now to get $700 after 4 years at 11% compounded monthly is $451.73.

To find the present value of $600 after 4 years at 7% compounded monthly, we can use the formula for compound interest:

Compound Interest =P(1+r/n)^rt

Substituting the given values, we get:

Compound Interest =600 (1+7/n)^4

Simplifying this equation, we get

P = 600 / 1.487

P = 451.73

Therefore, the present value needed now to get $600 after 4 years at 7% compounded monthly is $451.73.

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Answer:

is it a decimal

Step-by-step explanation:

Answer: It’s .7293 or 7293

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

It depends on the number of variables, if the inequality has one variable, then it is graphed on a number line.

The type of diagram that we need to use depends on the number of variables that we have.

That is the main reason, for example:

x > 2

Is graphed on a number line.

y > 3x + 4

is graphed on a coordinate plane.

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what

is the quistion cause can't nobody see that

Answer:

The last one.

Step-by-step explanation:

Any number that is a infinite number is a irrational number.

Step-by-step explanation:

since it is geometric sequence we will use the formula

\(tn = {ar}^{n - 1} \)

a = 6

r = 4

The first term

T1(a) = 6

The second term

\(t2 = {a \times r}^{2 - 1} \)

\(t2 = {6 \times 4}^{1 } = 24\)

The Third Term

\(t3 = {a \times r}^{3 - 1} = {a \times r}^{2} \)

\(t3 = {6 \times 4}^{2} = 6 \times 16 = 96\)

The fourth term

\(t4 = {a \times r}^{4 - 1} = {a \times r}^{3} \)

\(t4 = {6 \times 4}^{3} = 6 \times 64 = 384\)

The fifth term

\(t5 = {a \times r}^{5 - 1} = {a \times r}^{4} \)

\(t5 = {6 \times 4}^{4} = 6 \times 256 = 1,536\)

i hope these helped

Answer:

6, 24, 96, 384, 1536, ...

Step-by-step explanation:

\(\boxed{\begin{minipage}{5.5 cm}\underline{Geometric sequence}\\\\$a_n=ar^{n-1}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\\phantom{ww}$\bullet$ $r$ is the common ratio.\\\phantom{ww}$\bullet$ $a_n$ is the $n$th term.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}\)

Given:

Substitute the given values of a and r into the formula to create an equation for the nth term:

\(a_n=6(4)^{n-1}\)

To find the first 5 terms of the geometric sequence, substitute n = 1 through 5 into the equation.

\(\begin{aligned}\implies a_1&=6(4)^{1-1}\\&=6(4)^{0}\\&=6(1)\\&=6\end{aligned}\)

\(\begin{aligned}\implies a_2&=6(4)^{2-1}\\&=6(4)^{1}\\&=6(4)\\&=24\end{aligned}\)

\(\begin{aligned}\implies a_3&=6(4)^{3-1}\\&=6(4)^{2}\\&=6(16)\\&=96\end{aligned}\)

\(\begin{aligned}\implies a_4&=6(4)^{4-1}\\&=6(4)^{3}\\&=6(64)\\&=384\end{aligned}\)

\(\begin{aligned}\implies a_5&=6(4)^{5-1}\\&=6(4)^{4}\\&=6(256)\\&=1536\end{aligned}\)

Therefore, the first 5 terms of the given geometric sequence are:

3²: It is an example of numeric expression

is a mathematical sentence that encompasses, power, root, multiplication, division, addition and subtraction.

In this question - the following example 3² was given. This example can be classified as a numerical expression, because a power is a multiplication of equal factors.

So, this example is a numeric expression.

Answer:

Step-by-step explanation:

When comparing -11 and -3, -3 is bigger than -11. Both numbers are negative. A larger negative number is actually smaller than a smaller negative number. So, -3 is greater than -11. To find the difference, subtract -3 from -11 and you get -8.

Answer:

400 seconds

Step-by-step explanation:

150/20 m/s

vt = d

t=d/v

t = 3000m / (150/20m/s)

t = 400 sec

Leave a like and mark brainist if this helped

The company is now gaining an amount of 10000 per month is the company most likely doing under the new president.

A rapid shift from one position, choice, or plans to the flip side: Jack has changed his mind and accepted to go on vacation. Although a half ring is 180 degrees. This expression can be used to denote a radical shift from one extreme to the opposite. that phrase refers to changing one's mind or attitude, as well as doing completely counter what one meant.

Probably making $100,000 every month, or at minimum improving, since turning around completely will take him in the reverse. This means that the company that was having some problems that were with the loss has now been changed and they are now earning profit.

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Answer:

12.5

Step-by-step explanation:

\(400km = 10hr \\ 500km = x \\ \\ 400kmx = 5000kmhr \\ x = 12.5hr\)

Answer: The answer is 12.5

Step-by-step explanation:

I did the math on my paper.

The situation that cannot be modeled by using an exponential function is A. Jim buys a golf membership for $ 150 and it costs him $ 11 each time he plays a round of golf.

Exponential functions are mathematical functions in which the variable (usually denoted by "x") is in the exponent, rather than the base. They take the form of f(x) = a^x, where a is a constant known as the base of the function, and x is the input variable. These functions are characterized by rapid growth or decay as x increases or decreases.

The situation where Jim buys a golf membership cannot be modelled this way as it is a linear function because there is a given rate of increase that is not exponential.

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a+b is the greatest common divisor of (an+b,bn+a) for a, b are whole number.

The greatest common divisor is greatest positive integer, which divides all the number for that we are finding greatest common divisor.

We have given, (an+b+bn+a) and two whole number a ,b

To prove: Greatest common divisor of (an+b+bn+a) is odd.

Now, let a=0 , b=1

Then (an+b+bn+a) = (0×n+1+1×n+0)=(n+1), Its gcd is 1 (a+b)

let a=1, b=2

(an+b+bn+a) = (1×n+2+2×n+1)= 3(n+1), its gcd is 3 (a+b)

We can conclude that in the given expression gcd is (a+b) always.

And we also know that sum two consecutive whole number is always odd.

Hence,It is proved that gcd (an+b,bn+a) is odd.

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Answer:

hola :]

Step-by-step explanation:

In agreement, there is no correlation between the values of the graph because there is no constant that determines the relationship between the average of points and the percentage of failures of three points.

Based on the information in the graph, we can infer that there is no correlation between the values in the graph, since neither influences the other (does not modify it). Due to the above, we can establish that the values have no correlation because they are independent and do not depend on each other.

In this case, we can see that the percentage of 35% is in two values: one below 19 and one above 19. This means that there is no correlation because if there were, the values would have an obvious trend.

To conclude we can say that there is no correlation between these values because there is no a constant relationship that determines the location of the points in the graph.

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