The theater sells two types of tickets: adult tickets for $18 and
child tickets for $9.
Last night, the theater sold a total of 221 tickets for a total of
$2466. How many adult tickets did the theater sell last night?

Answer:

True

Step-by-step explanation:

If x = 3, then we can subtitute in 3 for x in the equation;

4x - 2 = 10

4(3) - 2 = 10

12 - 2 = 10

10 = 10

Therefore the answer is True.

Hope this helps!

Answer:

a) Josef jogging from A to B;

i. speed = 2 m/s

ii. velocity = 2m/s

a) a) Josef jogging from A to C;

speed = 1.9 m/s

ii. velocity = 2.2 m/s

Step-by-step explanation:

One major difference between speed and velocity is that speed is a scalar quantity, while velocity is a vector quantity.

a) Josef jogging from A to B;

distance = 300 m

time = 2.5 seconds = 150 seconds

i. his average speed = [tex]\frac{distance}{time}[/tex]

                               = [tex]\frac{300}{150}[/tex]

                               = 2 m/s

ii. his average velocity = [tex]\frac{displacement}{time}[/tex]

                               = [tex]\frac{300}{150}[/tex]

                               = 2 m/s

b) Josef jogging from A to C,

distance = 300 + 100 = 400 m

time = 2.5 + 1 = 3.5 minutes

        = 210 seconds

i. his average speed = [tex]\frac{distance}{time}[/tex]

                                  = [tex]\frac{400}{210}[/tex]

                                  = 1.9 m/s

ii. his average velocity = [tex]\frac{\sqrt{V_{1} ^{2} + V_{2} ^{2} } }{2}[/tex]

[tex]V_{1} ^{2}[/tex] = 4 m/s

[tex]V_{2} ^{2}[/tex] = 1.9 m/s

his average velocity = [tex]\frac{\sqrt{4^{2} + 1.9^{2} } }{2}[/tex]

                                  = 2.2 m/s

Answer:

∠ LHJ = 55°

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary, sum to 180° , so

∠ LHJ + ∠ KLH = 180° , that is

∠ LHJ + 125° = 180° ( subtract 125° from both sides )

∠ LHJ = 55°

Answer:

58,+77,+31,+54+,58+,54+,46+,58+,56/9

If the value of the mean is 55.78. Then the standard deviation will be 10.98.

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

The data set is given below.

58, 77, 31, 54, 58, 54, 56, 58, 56.

Then the mean of the data set will be

Mean = (58 + 77 + 31 + 54 + 58 + 54 + 56 + 58 + 56) / 9

Mean = 502 / 9

Mean = 55.78

Then the standard deviation will be

[tex]\rm SD = \sqrt{\dfrac{(58 - 55.78)^2+(77-55.78)^2 + ..... + (56-55.78)^2 }{9}}\\\\SD = \sqrt { \dfrac{1085.5}{9}}\\[/tex]

On further solving we have

SD = 10.98

If the value of the mean is 55.78. Then the standard deviation will be 10.98.

More about the standard deviation link is given below.

https://brainly.com/question/12402189

#SPJ2

Answer:

[tex]a^{2}+b^{2}[/tex]

Step-by-step explanation:

(a+b)(a-b)

[tex]a^{2}[/tex]-ab+ab-[tex]b^{2}[/tex]

[tex]a^{2} + b^{2}[/tex]

Answer:

Step-by-step explanation:

Answer

Total Length of Wire = Perimter of Pentagon

= 12 × 5 = 60 cm

Perimeter of Rectangle = 2 (l + b)

Given, l = 3/2 b

Therefore,

2(3/2 b + b) = 60

2 (5b/2) = 60

5b = 60

Breadth b = 12 cm

Length l = 3/2 × 12 = 18 cm

Answer:

-15

Step-by-step explanation:

Step 1: Multiply 3 by both sides

3(2/3x)=3(-10)

Step 2: Simplify

2x=-30

Step 3: Divide both sides by 2

2x/2=-30/2

Step 4: Simplify

x=-15

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

Answer: 280 km

Step-by-step explanation:

[tex]3\dfrac{1}{2} \: hours = 3.5 \: hours[/tex]

S = V × t

V = 80 km/h

t = 3.5 h

S = 80 × 3.5 = 280 km

Answer:

Two sets are equal, if they have exactly the same elements. Example: {a, c, t} = {c, a, t} = {t, a, c}, but {a, c, t} ≠ {a, c, t, o, r}. Example: {x : x is a letter in the word “book”} = {b, o, k}, but {b, o, k} ≠ {b, o, t}.

Step-by-step explanation:

Answer: 0b1110

Step-by-step explanation:

Answer:

-3.7, -1.9, -1/2, 1 1/3, 1.6, 2 1/3

Step-by-step explanation:

I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if this answer is wrong.

Answer:

-3.7, -1.9, -1/2, 1 1/3, 1.6, 2 1/3  

Step-by-step explanation:

hope this helps! have a great day!

Answer:

Break-even point is at quantity 220.

Step-by-step explanation:

Given the rent amount that is fixed cost for the store = $550

The average cost of the goods = $3

The average price of the goods = $5.50

Let the total number of break-even items = Q

Thus, total revenue = 5.50 x Q = 5.50Q

At break-even, TR = TC

5.50Q = FC + VC

5.50Q = 550 + 3Q

5.50Q - 3Q = 550

2.50Q = 550

Q = 550 / 2.50

Q = 220

Thus break-even point is at quantity 220.

Answer:

3  7/15

Step-by-step explanation:

1 4/5 + 2 2/3 - 16/15

9/5 + 8/3 - 16/15

27/15 + 40/15 - 16/15

52/15 = 3  7/15

Answer:

3 2/5

Step-by-step explanation:

STEP 1: Convert all fractions into improper fractions

9/5 + 8/3 - 16/15

Step 2: pass denominators

(9x3 + 8x5 - 16) / 15

=51/15

Step it into proper mixed number

3 2/5

Answer:

4x -5

Step-by-step explanation:

3+2 (2x - 4)

Distribute

3 + 2*2x - 2*4

3+4x - 8

Combine like terms

4x +3-8

4x -5

Answer:

4x - 5

Step-by-step explanation:

3+ 2 (2x) + 2 (-4)

3+4x - 8

Answer:

In slope-intercept form:

[tex]\displaystyle y=\frac{2}{3}x+1[/tex]

Or, in standard form:

[tex]2x-3y=-3[/tex]

Step-by-step explanation:

We want to find the equation of the line that passes through the point (6, 5) and is perpendicular to the line whose equation is:

[tex]2y+3x=6[/tex]

Since the new line is perpendicular, its slope and the slope of the first equation will be negative reciprocals of each other.

So, find the slope of the first equation. Subtract 3x from both sides:

[tex]2y=-3x+6[/tex]

And divide both sides by two:

[tex]\displaystyle y=-\frac{3}{2}x+3[/tex]

So, the slope of the first equation is -3/2.

The slope of the new line is its negative reciprocal. So, the slope of the perpendicular line is 2/3.

Next, we also know that it passes through the piont (6, 5). We can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

Substitute:

[tex]\displaystyle y-(5)=\frac{2}{3}\left(x-6\right)[/tex]

And we have our equation!

If desired, we can simplify it into slope-intercept form:

[tex]\displaystyle \begin{aligned} y-5&=\frac{2}{3}x-4\\\\y&=\frac{2}{3}x+1\end{aligned}[/tex]

Or, into standard form:

[tex]\displaystyle \begin{aligned} y&=\frac{2}{3}x+1\\\\3y&=2x+3\\\\ 2x-3y&=-3\end{aligned}[/tex]

Answer:

C; 500%

Step-by-step explanation:

To get the percentage, we need to make a straight division, then multiply by 100%

We have this as;

(4.5 * 10^5)/(9 * 10^4) * 100%

= 5 * 100% = 500%

53,38

Step-by-step explanation:

x = √15² + 8²

x = √225 + 64

x = √289

x = 17

circle's circumference = π × d

3,14 × 17 = 53,38

Answer:

Length = 42.7 feet

Step-by-step explanation:

By considering it as right triangle we use trigonometric ratios to find the length of the ladder.

Given angle of elevation and adjacent side. We have to find the hypotenuse.

Trigonometric ratios

[tex]sin \theta = \frac{Opposite}{hypotenuse}\\\\cos \theta = \frac{adjacent }{hypotenuse }\\\\Tan \theta = \frac{opposite}{adjacent}\\ \\[/tex]                       [tex][ \ where \ \theta = 68^{ \circ} \ ][/tex]

To find length of ladder ( or hypotenuse ) :

[tex]cos \theta = \frac{16}{Length \ of \ ladder}\\\\Length \ of \ ladder = \frac{16}{cos 68} = 42.711\\\\[/tex]

Therefore, length of the ladder = 42.7 feet.

Answer:

C. g(x) = 4x²

Step-by-step explanation:

we have one specific point on g(x) : (1,4)

so, for x=1 the functional value (y) has to be 4.

A. (4×1)² = 4² = 16 and not 4. => wrong

B. 1/4 × 1² = 1/4 and not 4. => wrong

C. 4×1² = 4 and that IS 4 => correct

D. 16×1² = 16 and not 4 => wrong

Answer:

The power is 1.68 W.

Step-by-step explanation:

Voltage, V = 3 V

charge, q = 0.56 C

time, t = 1 s

The power is given by

P = V q/t

P = 3 x 0.56 / 1

P = 1.68 W

Answer:

x + 2

Step-by-step explanation: I believe that can help you!

Answer:

h=rt.96=4 rt.6

Step-by-step explanation:

r=2 inches

therefore 100= root over h + 4

          =>h=rt.96=4 rt.6

To determine The probability of both of these occurring, you would multiply the probability of each together. So, there is a 1/7 chance of the first salesman getting the right key, and 1/6 chance of the second salesman getting the right key. 1/7 x 1/6= 1/42 chance of both occurring.

Answer:

B

Step-by-step explanation:

B

Answer:

the most likely answer is D 1/6

Step-by-step explanation:

Im not 100% sure

but hope this help if so can you mark me brainiest

thank you

Answer:

A

Step-by-step explanation:

Answer:

✔ Because the product is always a non-terminating, non-repeating decimal.

Step-by-step explanation:

E 2021

Answer:

[tex]\approx 68\%[/tex]

Step-by-step explanation:

For normal distributions only, all data falls within approximately 68% of one standard deviation, 95% of two standard deviations, and close to 100% of three standard deviations. The standard deviation is far too small to represent two or three standard deviations, hence [tex]\implies \boxed{68\%}[/tex].

*Important: This problem would be unsolvable if the question did not say her cuts were normally distributed, because the information above is only applicable to normal distributions.

Answer:

Step-by-step explanation:

Given:

The squares between 4.9 and 5.1 represent:

Relevant z- scores are:

From the z-score table we get:

The data between these points is: