Tickets for Broadway show cost $50 for adults and $10 for children. The total receipts for 1510 tickets at one performance for $54,700 how many adults and how many children’s tickets were sold.

Answer

Johnson's average speed is about 9 meters per second

Step-by-step explanation:

you divide 400 and 43.84

Answer:

\(f - g = x - 10 - 4 + x = 2x - 14 \\ f - g(5) =10 - 14 = - 4 \)

Answer: 85%

Step-by-step explanation:

You can use proportions to solve this answer.

17/20=x/100

Solve for X

17(100)/20=x

85=x

Answer:

15% incorrect

Step-by-step explanation:

17/20 = x/100

17 ×5= 85

20×5 = 100

85/100 correct

15/100 incorrect

Answer:

my brother said it was  

Step-by-step explanation:

1400.053...

Answer: 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

just took test

The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.

The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.

End of withdrawal period = 90 years old

Beginning of withdrawal period = 60 years old

The number of years between 60 and 90 = 30 years

N (# of periods) = 360 months (30 years x 12)

I/Y (Interest per year) = 4.5%

PMT (Periodic Payment) = $-1,500

FV (Future Value) = $0

Results:

Present Value (PV) = $296,041.74

Sum of all periodic payments = $540,000 ($1,500 x 360 months)

Total Interest = $243,958.26

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Answer:

zero divided by zero equals zero

Answer:

0?

Step-by-step explanation:

its technically undefined because how would you divide zero...

The graph that represents the function y= tanx is Option A.

The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.

It oscillates between positive and   negative infinity, creating a wave-  like pattern.

It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.

Thus, option A is the correct answer.

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Therefore , the solution of the given problem of probability comes out to be a)1/78 ,b)65/624 ,c)1/4 ,d)0 and e)12/13.

The basic goal of any considerations technique is to assess the probability that a statement is accurate or that a specific incident will occur. Chance can be represented by any number range between 0 and 1, where 0 normally indicates a percentage but 1 typically indicates the level of certainty. An illustration of probability displays how probable it is that a specific event will take place.

Here,

a.

P(Bert gets a Jack and Ernie rolls a five) = P(Bert gets a Jack) * P(Ernie rolls a five)

= (4/52) * (1/12)

= 1/78

b.

P(Bert gets a heart and Ernie rolls a number less than six) = P(Bert gets a heart) * P(Ernie rolls a number less than six)

= (13/52) * (5/12)

= 65/624

c.

P(Bert gets a face card and Ernie rolls an even number) = P(Bert gets a face card) * P(Ernie rolls an even number)

= (12/52) * (6/12)

= 1/4

d.

P(Bert gets a red card and Ernie rolls a fifteen) = 0

e.

Ernie rolls a number that is not twelve, and Bert draws a card that is not a Jack:

A regular 52-card deck contains 48 cards that are not Jacks,

so the likelihood that Bert will draw one of those cards is 48/52, or 12/13.

On a 12-sided dice with 11 possible outcomes,

Ernie rolls a non-12th-number (1, 2, 3, etc.).

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Answer:

37

Step-by-step explanation:

25-4g

25-4(-3)=37

Answer:

the answer is 13

Step-by-step explanation:

Plug g in

24-4×-3

PEMDAS

4×-3=-12

25-12=13

The perimeter of the given triangle with given lengths is; 78

The perimeter of a triangle is defined as the sum total of the 3 side lengths of the triangle.

Now, we are given the triangle as QRS.

We are given that;

A is the midpoint of QR

B is the midpoint of RS

C is the midpoint of SQ

Thus;

QA = RA = 10

BR = SB = 15

SQ = 28

Thus;

Perimeter of Triangle = 2(10) + 2(15) + 28 = 78

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Answer:

-0.58333333333

Step-by-step explanation:

Answer:

X=\(\frac{20}{3+w}\)

Step-by-step explanation:

We are to solve for x by factorizing the given expression

The value of x is \( \frac{20}{ 3 + w} \)

Given:

3x + wx = 20

factorize

3x + wx = 20

x(3 + w) = 20

Divide both sides by 3+w

x = \( \frac{20}{ 3 + w} \)

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Answer:

P(B) = 8/12

P(R | B) = 4/11

P(B ∩ R) = 8/33

The probability that the first ball chosen is black and the second ball chosen is red is about  24 percent.

Step-by-step explanation:

I just got it right on edge 2020. Good luck with school!!

The probability that the first ball chosen is black and the second ball chosen is red is about percent is 66.67%.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, a box contains four red balls and eight black balls.

Let event B be choosing a black ball first and event R be choosing a red ball second.

Here, total number of outcomes = 4+8 =12

P(B) = 8/12 and P(R)=4/12

We know that, P(R|B) =P(R∩B)/P(B)

Here, P(R∩B)= 8/12 × 4/12

= 2/3 × 1/3

= 2/9

So, P(R|B) =2/9 × 12/4

= 2/3 ×100

= 66.67%

Therefore, the probability that the first ball chosen is black and the second ball chosen is red is about percent is 66.67%.

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ans]=71

x-10=61

x=61+10

x=71

The equations Ax = b are not compatible.

It is represented by an equal sign (=) and is used to solve for unknown values or to describe relationships between variables. Equations can be simple or complex, involving basic arithmetic operations or advanced mathematical concepts like trigonometry and calculus.

An equation can be used to solve for a single unknown value, for example, the equation 2x + 3 = 7 can be solved for x by subtracting 3 from both sides, giving us 2x = 4 and then dividing both sides by 2, giving us x = 2. In this example, x = 2 is the solution to the equation.

To determine whether the equations Ax = b are compatible and to compute a solution x, you would first form the augmented matrix [A|b]. Then, you would perform row operations on [A|b] to reduce it to an upper triangular matrix [C|d]. Finally, you would use the software package to solve the square system of equations Cx = d.

If the software terminates with an error message, it means that C is singular, and the equations Ax = b are not compatible. If the software finds the unique solution of Cx = d, it means that the equations Ax = b are compatible and that the solution x is unique. However, it is important to note that the uniqueness of the solution depends on the rank of A being equal to n. If the rank of A is less than n, the equations are not compatible, and if the rank of A is greater than n, the equations have infinitely many solutions.

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The required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

Given the diagram of the hanger which one side has 10 + 5x  and other side has 11.

To find the equation, equate the expression of one side to the numerical value of the other side. On solving the equation gives the value of x.

Thus, the equation is 10 + 5x = 11.

Consider the equation 10 + 5x = 11

On subtracting 10 from each side gives,

5x = 1

Divide each side by 5 gives,

x = 1/5.

Hence,  the required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

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The length of the hypotenuse of the sail is 18.30 feet long.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

a² + b² = c²

Given that the sail for his sailboat is a 45-45-90 Right Triangle. 15. The base of the sail is 10.5 ft. long.

a² + b² = c²

Therefore,

15² + 10.5² = c²

c² = 15² + 10.5²

c² = 225 + 110.25

c² = 335.25

c = 18.30

Thus, the hypotenuse is 18.30 feet long.

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The surface area of the cylinder is 948m²

The area occupied by a three-dimensional object by its outer surface is called the surface area. The surface of a cylinder is expressed as ;

SA = 2πr(r+h)

Where r is the radius of the base and h is the height of the cylinder.

r =8m

h = 4m

SA = 2 × 3.14 × 8 (8+4)

SA = 78.96 × 12

SA = 947.52 m²

to the nearest whole number

SA = 948 m²

therefore the surface area of the cylinder is 948 m²

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Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188

The probability that a randomly selected point within the square falls in the red shaded square is 1/16

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event to occur is 1 and it is 100% in percentage.

Probability = sample space /total outcome

sample space is the area of the red shaded square and the total outcome is the big square.

Area of red shaded square = 1 × 1 = 1unit²

area of the big square = 4 × 4 = 16 units²

Therefore the probability that a point selected falls on the red shaded square

= 1/16

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The members of the given set in this problem are given as follows:

X U (Y ∩ Z) = {p, q, r, 0, 6, 21, 22, 23, 26}

The union and intersection sets of multiple sets are defined as follows:

The intersection of the sets Y and Z for this problem is given as follows:

Y ∩ Z = {0, 6, 23, 26}

(which are the elements that belong to both of the sets).

The union of the above set with the set X is given as follows:

X U (Y ∩ Z) = {p, q, r, 0, 6, 21, 22, 23, 26}

(elements that belong to at least one of the sets).

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Using the same-side interior angles theorem,

\(8x+30+6x+24=180 \\ \\ 14x+54=180 \\ \\ 14x=126 \\ \\ \boxed{x=9}\)

Using vertical angles,

\(6(9)+24=10y+2 \\ \\ 78=10y+2 \\ \\ 10y=76 \\ \\ \boxed{y=7.6}\)

Perfect square trinomial

\( \boxed{ a^2 \pm 2ab+b^2 = (a \pm b)^2 } \)

Using the perfect square trinomial

\( p^2 - 4p + 4 = 0 \)

\( p^2 - 2(2p) + (2)^2 = 0 \)

\( (p-2)^2 = 0 \)

\( (p-2) = 0 \)

\( p = 2 \)

\(\huge\text{Hey there!}\)

\(\bold{p^2-4p+4=0}\)

\(\text{FACTOR the LEFT side of your equation}\\\bold{(p-2)(p-2)=0}\)

\(\text{SET each of your FACTORS TO EQUAL to 0}\\\bold{p-2=0\ or\ p-2=0}\)

\(\text{SIMPLIFY the equations\ above and you will have your answer}\)

\(\boxed{\boxed{\bold{Answer: \large\text{\bf{p = 2}}}}}\huge\checkmark\)

\(\textsf{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer: Decide which of the two given prices is the better deal and explain why. You can fill a 12 gallon tank of gas for $42.47 or buy gas for $3.60/gallon.

Step-by-step explanation: