Alex is selling tickets to a school play. An adult ticket costs $6.50 and a student ticket costs $4.00. Alex sells x adult tickets and 12 student tickets. He made $243 selling tickets. How many adult tickets did he sell?

Answer:

Y-intercept = 0.4

X-intercept = 0.3

Step-by-step explanation:

Answer:

Never applies

Step-by-step explanation:

Given

Argument: The sum of a number and its opposite is always 1

Assume a positive number x

The opposite of the number is negative x (i.e. -x)

The sum of both numbers is:

[tex]Sum = x + (-x)[/tex]

Open Bracket

[tex]Sum = x -x[/tex]

[tex]Sum = 0[/tex]

Now, take for instance.

[tex]Number = 5[/tex]

Opposite would be

[tex]Opposite = -5[/tex]

Their sum is:

[tex]Sum = 5 + (-5)[/tex]

[tex]Sum = 5 -5[/tex]

[tex]Sum = 0[/tex]

Another instance is:

[tex]Number = -8[/tex]

Opposite would be

[tex]Opposite = 8[/tex]

Their sum is;

[tex]Sum = -8 + 8[/tex]

[tex]Sum = -0[/tex]

Hence, the argument never applies because the sum is never 1

Answer:

We are given:

μ=180,σ=25,n=100

Therefore the standard error of the mean is

2.5

Step-by-step explanation:

Answer:

6 minutes

Step-by-step explanation:

72-48 = 24

so 24 + 48 = 72

and 48 / 4=12

which means 12 copies per minute and 24 copies is 2 minutes

Answer:

It is 198

Step-by-step explanation:

(Width)(Height)

mutliply (11) times (18)

The area of rectangle ABCD is 198 square inches

The given parameters are:

[tex]\mathbf{AB = 11}[/tex]

[tex]\mathbf{KH = 18}[/tex]

Because the rectangles are congruent, then:

[tex]\mathbf{HG = AB = 11}[/tex]

[tex]\mathbf{KH = DA= 18}[/tex]

So, the area of rectangle ABCD is the product of side lengths AB and DA

So, we have:

[tex]\mathbf{Area = AB \times DA}[/tex]

Substitute values for AB and DA

[tex]\mathbf{Area = 11 \times 18}[/tex]

[tex]\mathbf{Area = 198}[/tex]

Hence, the area of rectangle ABCD is 198 square inches

Read more about areas at:

https://brainly.com/question/9655204

Answer:

26,405,020

Step-by-step explanation:

Answer:

26,405,020

Step-by-step explanation:

hope this helpssss

have a good nighttttt

Answer:

50%

Step-by-step explanation:

Answer: 50%

Step-by-step explanation: the normal probability is 1/2 sooo it translates to 50/100 which is 50%

Answer:

11.55 years

Step-by-step explanation:

Formula to calculate the final value when the money is compounded continuously is,

Final value = [tex]\text{(Present value)}.e^{rt}[/tex]

Here 'r' = rate of interest

t = duration for the investment

Let the money invested = $x

We have to find the duration in which the present value gets doubled.

Final value = $2x

Rate of interest = 6% per year ≈ 0.06

By substituting these values in the formula,

[tex]2x=x.e^{0.06t}[/tex]

[tex]2=e^{0.06t}[/tex]

ln(2) = [tex]\text{ln}e^{0.06t}[/tex]

0.693147 = 0.06t

t = 11.55 years

Therefore, invested amount will be doubled in 11.55 years.

Answer:

43.15

Step-by-step explanation:

See attachment below

Answer:

If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

Step-by-step explanation:

Answer:

A sequence is a discrete structure used to represent an ordered list.

Step-by-step explanation:

Discrete values are values between the terms if the sequences are not included in the sequence. If you collect all the terms of the sequence into a set, that set will always be discrete, because there's only countably many of them, and every interval is uncountable. So in that sense, yes, sequences are discrete. A sequence is a discrete structure used to represent an ordered list. A sequence is a function from a subset of the set of integers (usually either the set {0,1,2,. . .} or {1,2, 3,. . .}to a set S. We use the notation an to denote the image of the integer n. We call an a term of the sequence.

Answer:

13 > x > -1

Step-by-step explanation:

-11 < -x + 2 < 3

~Subtract 2 both sides

-13 < -x < 1

~Divide -1 to both sides

13 > x > -1

Best of Luck!

Answer:

[tex]r^2 sin2\theta = 12[/tex]

Step-by-step explanation:

Given

[tex]xy = 6[/tex]

Required

Get polar equivalent

Polar coordinate [tex](r, \theta)[/tex] and rectangular coordinate [tex](x,y)[/tex] are related in such a way that:

[tex]x = rcos\theta[/tex] and [tex]y = rsin\theta[/tex]

So, substitute [tex]x = rcos\theta[/tex] and [tex]y = rsin\theta[/tex] in [tex]xy = 6[/tex]

[tex]rcos\theta * rsin\theta = 6[/tex]

This can be rewritten as:

[tex]r * cos\theta * r * sin\theta = 6[/tex]

Reorder

[tex]r * r * cos\theta * sin\theta = 6[/tex]

[tex]r^2 * cos\theta * sin\theta = 6[/tex]

Multiply both sides by 2

[tex]2 * r^2 * cos\theta * sin\theta = 6 * 2[/tex]

[tex]2 * r^2 * cos\theta * sin\theta = 12[/tex]

Reorder

[tex]r^2 * 2 * cos\theta * sin\theta = 12[/tex]

[tex]r^2 * 2cos\theta sin\theta = 12[/tex]

In trigonometry:

[tex]sin2\theta = 2sin\theta cos\theta = 2cos\theta sin\theta[/tex]

So, the expression becomes

[tex]r^2 * sin2\theta = 12[/tex]

[tex]r^2 sin2\theta = 12[/tex]

Hence, the equivalent of [tex]xy = 6[/tex] is [tex]r^2 sin2\theta = 12[/tex]

Answer:

B)9.5

Step-by-step explanation:

Answer:

i think the answer is B

i am sorry if this is wrong

Step-by-step explanation:

This graph represents the function h(x)=2sin(x+π/2)-1.

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

This graph represents the function h(x)=2sin(x+π/2)-1.

The range is the set of values that correspond with the domain.

Domain of graph: (−∞,∞),{x|x∈R}

Range of graph: [−3,1],{y|−3≤y≤1}

Use the form asin (bx−c)+d to find the amplitude, period, phase shift, and vertical shift.

Amplitude: 2

Period: 2π

Phase Shift: −π/2 (π/2 to the left)

Vertical Shift: −1

Learn more about graph

brainly.com/question/16608196

#SPJ2

Answers:

Hypothesis = "I am running"

Conclusion = "I am not awake"

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

Explanation:

All conditional statements are in the form "If P, then Q" where P and Q are placeholders for the hypothesis and conclusion respectively.

So you can say the basic format of a conditional is "If hypothesis, then conclusion".

Answer:

32cm^2

Step-by-step explanation:

8 x 4 = 32

Answer:

Step-by-step explanation:

I am sorry but please give detailed question

Answer:

Doubling the radius of a sphere will increase its surface area 4 times

Step-by-step explanation:

The surface area of a sphere with radius r is given by the formula:

[tex]SA = 4\pi r^2[/tex]

Doubling the radius means: r=> 2r

Putting the new radius the new surface area will be:

[tex]SA_1 = 4\pi (2r)^2\\SA_1 = 4\pi (4r^2)\\SA_1 = 4(4\pi r^2)\\SA_1 = 4(SA)[/tex]

The new surface area with double radius is 4 times of the old surface area with r.

Hence,

Doubling the radius of a sphere will increase its surface area 4 times

Answer

8.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

alright this is an easy question to do u have to use the Pythagorean theorem which is a²+b²=c²

so put the number of the triangle in this form for #1

Step-by-step explanation:

1.6²+9²=8²

=117=64

2.5²+13²=12²

=194=144

Answer:

(4.) 90

I think that's the answer

Answer:

C. 15

Step-by-step explanation:

It's 13.888 about 14, so 15 is the closest answer.

b

Step-by-step explanation:

taking 250÷18=13.88~

Answer:

A. 2.6, 8.1, 10.2

Step-by-step explanation:

According to the Triangle Inequality, the sum of any two sides has to be greater than the third side. From those answer choices, only 2.6, 8.1, 10.2 satisfy the Triangle Inequality.

Answer:

4.5

Step-by-step explanation:

2+1=3

2/3+5/6=1.5

3+1.5=4.5

Step-by-step explanation:

A Maclaurin series is a Taylor series that's centered at 0.

f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(0) / n! xⁿ

If we substitute f⁽ⁿ⁾(0) = (n + 1)!:

f(x) = ∑ₙ₌₀°° (n + 1)! / n! xⁿ

f(x) = ∑ₙ₌₀°° (n + 1) xⁿ

Use ratio test to find the radius of convergence.

lim(n→∞)│aₙ₊₁ / aₙ│< 1

lim(n→∞)│[(n + 2) xⁿ⁺¹] / [(n + 1) xⁿ]│< 1

lim(n→∞)│(n + 2) x / (n + 1)│< 1

│x│< 1

R = 1