At a local theater, adult tickets cost $8 and studenttickets cost $5. At a recent show, 500 tickets weresold for a total of $3,475. How many adult ticketswere sold?

Answer:

Step-by-step explanation:

You want the intercepts of the equation -6x +9y = -18.

There are several ways to find the intercepts. In each case, the x-intercept is the value of x that satisfies the equation when y=0, and vice versa.

For y = 0, we find the x-intercept to be ...

  -6x + 0 = -18

  x = -18/-6 = 3

The x-intercept is 3; the point at that intercept is (3, 0).

For x = 0, we find the y-intercept to be ...

  0 +9y = -18

  y = -18/9 = -2

The y-intercept is -2; the point at that intercept is (0, -2).

The intercept form of the equation for a line is ...

  x/a +y/b = 1

where 'a' is the x-intercept, and 'b' is the y-intercept.

We can get this form by dividing the original equation by -18.

  -6x/-18 +9y/-18 = 1

  x/3 +y/(-2) = 1

The x-intercept is 3; the y-intercept is -2.

__

Additional comment

When asked for the intercepts, it is sometimes not clear whether you are being asked for the value where the curve crosses the axis, or whether you are being asked for the coordinates of the point there.

Your previous "wrong" answer was given as point coordinates. Apparently, just the value at the axis crossing is required.

You have to have some understanding of your answer-entry and answer-checking software to tell the required form of the answer (or you can ask your teacher).

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Answer:

y goes from the top to the bottom postive to negative. Then x is from left to right. The left is negative the right is postive.

Step-by-step explanation:

The body surface area is given by the equation A = 1.6865 m²

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the body surface area be represented as A

Now , the equation will be

A = ( HW / 3600 )^1/2

A = √( HW / 3600 )   be equation (1)

where H is the height in centimeters and W is the weight in kilograms

Now , the value of H = 160 cm

The value of W = 64 kg

Substituting the values in the equation , we get

A = √ [ ( 160 x 64 ) / 3600 ]

On simplifying the equation , we get

A = √ ( 10240/3600 )

A = √ ( 2.8444 )

A = 1.6865 m²

Therefore , the body surface area is 1.6865 m²

Hence , the equation is A = 1.6865 m²

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(a) Probability of getting a flush is 0.000546.

(b) Probability of getting three of a kind is 0.00451.

(c) Probability of getting two pairs is 0.0150.

We have,

(a)

To calculate the probability of getting a flush, we need to determine the total number of possible outcomes and the number of favorable outcomes.

Total number of balls = 11 (red) + 11 (yellow) + 11 (green) + 11 (black) = 44 balls

The number of ways to choose 4 balls (without replacement)

= 44C4 = 44! / (4! x (44 - 4)!) = 44! / (4! x 40!)

= 44 x 43 x 42 x 41 / (4 x 3 x 2 x 1)

= 7315

The number of favorable outcomes:

There are 4 different colors of balls, so we have 4 possible flushes (all red, all yellow, all green, all black).

Probability of getting a flush = Number of favorable outcomes / Total number of outcomes = 4 / 7315 ≈ 0.000546

(b)

To calculate the probability of getting three of a kind, we need to determine the total number of possible outcomes and the number of favorable outcomes.

Total number of ways to choose 4 balls = 44C4 = 7315 (as calculated in part (a)).

Number of ways to choose 3 balls of the same denomination: We have 11 denominations, so we can choose 3 balls of the same denomination in 11C1 = 11 ways.

Number of ways to choose the fourth ball of a different denomination: After choosing 3 balls of the same denomination, we have 3 denominations left from which we can choose the fourth ball. So, the number of ways to choose the fourth ball = 3.

Number of favorable outcomes = Number of ways to choose 3 balls of the same denomination x Number of ways to choose the fourth ball of a different denomination

= 11 x 3

= 33

Probability of getting three of a kind = Number of favorable outcomes / Total number of outcomes = 33 / 7315 ≈ 0.00451

(c)

To calculate the probability of getting two pairs, we need to determine the total number of possible outcomes and the number of favorable outcomes.

Total number of ways to choose 4 balls = 44C4 = 7315 (as calculated in part (a)).

Number of ways to choose the first pair: We have 11 denominations, so we can choose the first pair in 11C1 = 11 ways.

Number of ways to choose the second pair: After choosing the first pair, we have 10 denominations left from which we can choose the second pair. So, the number of ways to choose the second pair = 10.

Number of favorable outcomes

= Number of ways to choose the first pair x Number of ways to choose the second pair

= 11 x 10

= 110

Probability of getting two pairs = Number of favorable outcomes / Total number of outcomes = 110 / 7315 ≈ 0.0150

Thus,

(a) Probability of getting a flush = 4/7315 ≈ 0.000546

(b) Probability of getting three of a kind = 33/7315 ≈ 0.00451

(c) Probability of getting two pairs = 110/7315 ≈ 0.0150

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Answer:

t=3

Step-by-step explanation:

5t-4=|11

+4 |+4

5t= | 15

÷5 | ÷5

t = 3

Answer:

\(\frac{y^7z^3}{x}\)

Step-by-step explanation:

When variables have negative exponents, switch their positions.

\(\frac{x^{-1}y^7}{z^{-3}}=\frac{y^7z^3}{x}\)

According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.

For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.

For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.

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Step-by-step explanation:

please explain il answer in comment

Answer: 24/30

Step-by-step explanation:

When you divide fraction, you use KCF which stands for keep, change, flip.

So you KEEP 6/10, CHANGE ÷ to x and FLIP 3/4 to 4/3 and it became : 6/10  (times) 4/3 so 6x4 is 24 And 10x3 is 30. 24/30

I hope this help!! :)

The population of the country will be 796 million approximately in the year 2022.

To find when the population of the country will be 796 million, we can set the equation equal to 796 and solve for t:

\(A = 433.4e^{(0.032t)}\\796 = 433.4e^{(0.032t)}\)

Divide both sides by 433.4:

\(e^{(0.032t)} = 1.836\)

Take the natural logarithm of both sides:

\(ln(e^{(0.032t)}) = ln(1.836)\)

0.032t = 0.605

Divide both sides by 0.032:

t = 18.91

Therefore, the population of the country will be 796 million approximately 19 years after 2003. To find the year, we add 19 to 2003:

2003 + 19 = 2022

Therefore, the population of the country will be 796 million approximately in the year 2022.

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:30 divided by 5 = 6

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

6 = 30/x

multiply both sides by x

6x = 30

divide both sides by 6

x = 30/6 = 5

Answer:

Simple interest=(Principal×Rate×Time)/100

Principal=$700

Rate=7%

Time=3 years

S.I.=(700×7×3)/100=147

Andrew has to pay a interest of $147.

Answer:c

Step-by-step explanation:

c

Answer:b

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

y2-y1 over x2-x1

3/3=1

The number 7.787887888 is option (C) not a rational number, it has a pattern which is predictable, but not repeating

The given number is 7.787887888

The rational numbers is a number that can be expressed as the p/q format, where p and q are integers and p will not be equal to zero. So the rational number is the ratio of the two integers.

Here the given number is 7.787887888.

So this is an non terminating number

But here we can see that there is a pattern which is predictable but its not repeating

Therefore, it is not a rational number ,but it has a pattern which is predictable, but not repeating

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Answer:

Hi! I did this exact question on A P E X and got it right! The answer to your question is D. Help people understand how nature affects their communities!

Step-by-step explanation:

I hope this helps and I hope you guys have a great day! :3

Proof:

The letter at entry #123 will be S for the sequence C,S,S,S,S,S,C,S,S,S,S,S

The given sequence of letters is C,S,S,S,S,S,C,S,S,S,S,S

As per the given sequence, there are 12 letters in the sequence. To find the letter at #123 we continue the sequence till entry #120 or 10 iterations, the sequence will remain the same i.e C,S,S,S,S,S,C,S,S,S,S,S and then find the next 3 letters

So for entry #123, we will get the following value as per the sequence:

C,S,S

Hence, the letter at entry #123 will be S as per the given sequence of letters.

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Answer:

Pizzas will be ordered by the two classes

The minimum distance between the point (0, 4) on the y-axis and points on the graph is 4.

To find the minimum distance between the point (0, 4) on the y-axis and points on the graph of the function y = x², we can use the concept of perpendicular distance.

The distance between a point (x, y) on the graph and the point (0, 4) is given by the formula:

distance = √((x - 0)² + (y - 4)²) = √(x² + (y - 4)²)

Substituting the function y = x² into the distance formula, we get:

distance = √(x² + (x² - 4)²) = √(x² + (x⁴ - 8x² + 16))

Simplifying further, we have:

distance = √(x⁴ + x² - 8x² + 16) = √(x⁴ - 7x² + 16)

To find the minimum distance, we need to minimize the expression x⁴ - 7x² + 16. Since this is a quadratic-like expression, we can use calculus to find the minimum.

Taking the derivative of x⁴ - 7x² + 16 with respect to x, we get:

d/dx (x⁴ - 7x² + 16) = 4x³ - 14x

Setting the derivative equal to zero to find critical points:

4x³ - 14x = 0

Factorizing, we have:

2x(2x² - 7) = 0

This gives us two critical points: x = 0 and x = ±√(7/2).

Next, we evaluate the expression x⁴ - 7x² + 16 at these critical points and the endpoints of the interval:

f(0) = 0⁴ - 7(0)² + 16 = 16

f(±√(7/2)) = (√(7/2))⁴ - 7(√(7/2))² + 16 ≈ 4.157

Comparing these values, we find that the minimum distance occurs at x = 0, giving us a minimum distance of √(0⁴ - 7(0)² + 16) = √16 = 4.

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Answer:

0.42

Step-by-step explanation:

To solve the problem, we need to add the probability of picking a club to the probability of picking a face card, and then subtract the probability of picking a club that is also a face card (because we would have counted it twice).

There are 13 clubs in a standard deck, so the probability of picking a club is 13/52 or 0.25.

There are 12 face cards (4 jacks, 4 queens, and 4 kings) in a standard deck, so the probability of picking a face card is 12/52 or 0.23.

However, there are 3 cards that are both clubs and face cards (the jack of clubs, queen of clubs, and king of clubs), so we need to subtract the probability of picking one of those cards. There are 3 of them out of 52 total cards, so the probability of picking a club that is also a face card is 3/52 or 0.06.

Therefore, the probability of picking a club OR a face card is:

0.25 + 0.23 - 0.06 = 0.42 (rounded to two decimal places).

So the answer is 0.42.

Answer:

Step-by-step explanation:

Danielle has :

Principal = $125

Time = 2 years

Rate = ?

Interest =

\(\frac{Principal \times Rate \times Time}{100}\)

Answer:

its D

Step-by-step explanation:

trust

The expression representing the perimeter of the polygon is given as follows:

7mn³/3 + 4m² + 3mn².

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

Hence the perimeter for the polygon in this problem is given as follows:

mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².

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Answer:

54

Step-by-step explanation:

75% of 72 is 54

Answer:

96

Step-by-step explanation:

72 is 75% of 96.

72 ÷ 75% = 96

Answer:

12

Step-by-step explanation:

The number of shells collected by Paula is 12 shells

The correct answer is B.

The given expression:

total number of shells collected by the friends, t = 43 shells

number of shells collected by Paula = x

number of shell collected by Bethany = 2x - 3

number of shell collected by Jerrell = \(\frac{x}{2} + 2\)

To find:

The number of shells collected by Paula is calculated as follows:

\(x + (2x-3 ) + (\frac{x}{2} + 2) = 43\\\\3x + \frac{x}{2} - 1 = 43\\\\\frac{6x + x}{2} = 43 + 1\\\\\frac{7x}{2} = 44\\\\7x = 88\\\\x = \frac{88}{7} \\\\x \approx 12 \ shells\)

Thus, the number of shells collected by Paula is 12 shells

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Vicky is solving an equation where both sides are linear expressions. She sets each linear expression equal to y and graphs the resulting system. If the y-intercepts of the graphs are the same but the slopes are different, then graphs has 1 intersection.

y=mx+c is the slope intercept form of a line.

If the y-intercepts are the same, then the two linear have the same y-intercept as a solution. That is one common solution for both expressions. The two expressions intersect at that point. Since the slopes are different, there are no more common solutions since if two different lines intersect, they intersect at exactly one point and no more.

Therefore one is the greatest possible number of intersection for those graphs.

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Answer:its b one

Step-by-step explanation:

im right on edge and simple answer

Answer:

It is D

Step-by-step explanation:

No. He correctly solved for b. EDge 2020 ^-^

Answer:

d

Step-by-step explanation:

Answer: B

Step-by-step explanation:

(4 x 20) + (4 x 4) - This can be simplified.

80 + 16 = 96

24 x 4 = 96

Therefore, B is correct.

Answer: A.

Step-by-step explanation: we just need to distribute and see that the only plausible answer is a because when distributed it equals 3x=6

The expected value of the number of cups of coffee Alex drinks each day is 00.805 cups.

the mean/ average is gotten by dividing the sum of the values in the set by their number.

The concept of mean/average is used in this ques to calculate the expected value of the number of cups of coffee Alex drinks each day.

Mean/ Average=     sum of values

                              number of values

Mean/ Average= 00.200 cups +00.163 cups+ 00.976 cups+ 01.881 cups

                                                                 4

Mean/ Average= 00.805 cups

Hence, The expected value of the number of cups of coffee Alex drinks each day is 00.805 cups.

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