The school that Stefan goes to is selling tickets to a choral performance. On the first
day of ticket sales the school sold 40 senior citizen tickets and 20 child tickets for $740
On the second day, the school sold 60 senior citizen tickets and 25 child tickets for
$1075. What was the price of each ticket?

Answer:

120 kids prefer video games

Step-by-step explanation:

60% is .60

multiply .60 by 200 to get your answer.

.60 × 200 = 120

Jacob's smoking habit may shorten his life expectancy by an average of 10 years and 6 months.

Given,

The age of Jacob when he starts smoking  = 21 years

Jacob's present age = 48 years

In generally if 1 year of smoking reduces 6 months from the life.

Why does smoking cause life to be shorter?

Only a few of the illnesses that are directly linked to smoking and have a significant role in the increased mortality rate among smokers include cancer, lung disease, and cardiovascular disease. The link between smokeless tobacco and cancer is well known.

Here,

Jacob may live 10 years and 6 months less than normal due to his smoking habit.

I have answered the question in general as given question is incomplete.

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There are 13 diamonds in the deck (as well as other colors). Since there are 52 cards, the probability of getting a diamond on the first draw is 13/52. After the first card is drawn, all that's left are his 12 diamonds. Therefore, the probability of drawing a diamond is 12/51 (note that he has only 51 cards left after pulling/removing the first card since there are no replacement cards). The overall probability is the product of two possibilities. The odds of drawing diamonds from the original deck are 13/52 times the odds of drawing diamonds from his remaining 51 cards. Assuming the first card drawn is a diamond, 12/51.

P=13/52*12/51=1/4*4/17=1/17.

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Hideki should use coupon 2 to get a better deal.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Hideki buys 2 sweaters for $18 each.

Coupon 1: Buy one, get one 40% off

Here, 40% of 18

= 40/100 ×18

= 0.4×18

= $7.2

So, cost of entire purchase 2(18)-7.2

= 36-7.2

= $28.8

Coupon 2: 25% off entire purchase

25% of 2(18)

= 25/100 ×36

= 0.25×36

= $9

Now, 36-9 =$27

Therefore, Hideki should use coupon 2 to get a better deal.

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no because you are not distributing numbers that multiply with each other and form new expressions

Answer:

hm I'm not sure but you solve it like this

Step-by-step explanation:

(6x + 3) + (5x - 4)

remove unnecessary parenthesis

6x+3+(5x-4)

collect like terms

11x+3-4

answer :

11x-1

The area under the standard normal curve between z=â1.16 and z=â0.03 is 0.3663.

To find the area under the standard normal curve between z = -1.16 and z = -0.03, we will use the following steps:

1. Look up the z-values in the standard normal distribution table (or use a calculator or online tool that provides the corresponding probability values).
2. Subtract the probability value for z = -1.16 from the probability value for z = -0.03.
3. Round your answer to four decimal places.

Step 1: Look up the z-values in the standard normal distribution table.
- For z = -1.16, the corresponding probability value is 0.1230.
- For z = -0.03, the corresponding probability value is 0.4893.

Step 2: Subtract the probability values.
Area = P(-0.03) - P(-1.16) = 0.4893 - 0.1230

Step 3: Round the answer to four decimal places.
Area = 0.3663

So, the area under the standard normal curve between z = -1.16 and z = -0.03 is approximately 0.3663.

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Therefore option C) The probability of P and M together is equal to 0, hence the answer is yes.

In probability theory, the likelihood that an event will happen or that a statement is true is expressed numerically. A number between 0 and 1, with 1 often denoting certainty and 0 typically denoting impossibility, is used to describe the likelihood of an event.

Here,

As a result, P stands for the possibility that the chosen candidate favored pepperoni exclusively.

And M stands for the situation where the chosen person preferred just mushrooms.

Therefore, P and M are two occurrences that are mutually exclusive since two events are mutually exclusive if they do not occur simultaneously.

P and M cannot occur simultaneously in this case.

As a result, there is no chance that P and M will happen simultaneously, or at all.

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The computation is that the width is 21.5 feet and the height is 12.5.

Let the height = h

Let the width = (3 × h) - 16 = 3h - 16

Therefore, the dimensions will be:

h + 3h - 16 = 34

4h = 34 + 16

4h = 50

Divide

h = 50/4

h = 12.5

Therefore width = 3h - 16 = 3(12.5) - 16

= 37.5 - 16

= 21.5

The width is 21.5 feet and the height is 12.5.

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Answer:

Step-by-step explanation:

Area of a trapezoid is found with the formula, A=(a+b)/2 x h. Learn how to use the formula to find area of trapezoids.

The two parallel sides are the bases, and height, as always, is the perpendicular distance from one base to the opposite. The area of this parallelogram is its height (half-height of the trapezoid) times its base (sum of the bases of the trapezoid), so its area is half-height × (base1 + base2).

Answer:

K = (3,3)

After a reflection across the x axis (Vertical reflection), the coordinate becomes (3, -3)

Let me know if this helps!

Answer

(3, -3)

I'm pretty sure that's the answer, because reflecting the shape along the x-axis would mean having to reflect it horizontally. Once you do that, you'll find that the point K would meet its destination at (3, -3).

Answer:

B

Step-by-step explanation:

It helps if you have the figure included. However, since it is not, we can assume that she has gone around the circle with all six sides of the hexagon is set to PR.

That makes the hexagon with 6 equal sides. It also makes each triangle using one of the sides equal to PR. The radii are all equal. There are 6 triangles making up the hexagon.

Both statements she makes are true and that makes B the answer.

Answer: Each shirt costs $1.25, and each hat costs $2.5.

Step-by-step explanation:

Let x= Cost per T-shirt, y = Cost per Hat.

As per given,

3x+3y=11.25        (i)

4x+2y=10             (ii)

Multiply 4 to equation (i)

12x+12y=45          (iii)

12x+6y= 30             (iv)

Eliminate (iv) from (iii), we get

6y= 15

⇒ y = 2.5

Put value of y in (i)

3x+3(2.5)=11.25

⇒3x+7.5=11.25

⇒3x= 3.75

⇒x= 1.25

Hence, each shirt costs $1.25, and each hat costs $2.5.

The unit m/s represents the speed of light. Therefore, the units of the right-hand side of the equation prove that the speed of light is represented in the equation.

The equation mentioned in the question is as follows; The SI units of magnetic permeability and permittivity of free space are Henry/meter and farad/meter respectively. In order to prove that the units given by the right-hand side of the equation are m/s, we need to perform the following steps: Substitute the values of magnetic permeability and permittivity of free space in the equation. Let's substitute µ0 and ε0 values in the above equation, we get; In order to perform this step, we need to know the units of each component in the equation. A unit of force is Newton, and a unit of charge is Coulomb. A magnetic field has the unit Tesla. Let's find out the units of the right-hand side component of the above equation. We can now rearrange the equation to make it simpler.!)

The unit m/s represents the speed of light. Therefore, the units of the right-hand side of the equation prove that the speed of light is represented in the equation.

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Answer: Yes

Step-by-step explanation:

They usually come in three months after you take the test. I think I got mine in the middle of May.

Answer:

450meters

Step-by-step explanation:

Given data

Speed = 81km per hour

Let us convert to meter per seconds

1 km= 1000m

1 hour=3600 seconds

= 1000/3600= 5/18 m/s

=81*5/18

=405/18

=22.5 m/s

Hence the distance traveled in 20 seconds is

distance= speed*time

distance= 22.5*20

distance= 450 meters

Hence the distance is 450meters

We have shown that SET-SPLITTING is both in NP and NP-hard, which implies that it is NP-complete.

To prove that SET-SPLITTING is NP-complete, we need to show two things:

SET-SPLITTING is in the class NP (nondeterministic polynomial time).

SET-SPLITTING is NP-hard, meaning that every problem in the class NP can be reduced to SET-SPLITTING in polynomial time.

SET-SPLITTING is in the class NP:

To show that SET-SPLITTING is in NP, we need to demonstrate that given a potential solution (certificate), we can verify it in polynomial time. In the case of SET-SPLITTING, the potential solution is a partition of the set S into two sets A and B, satisfying the conditions that each subset Ci, 1 ≤ i ≤ m, has a nontrivial intersection with both A and B.

We can verify this solution by checking each subset Ci in polynomial time. For each subset Ci, we can determine if it has a nontrivial intersection with both A and B by comparing the elements of Ci with the elements of A and B. If there exists an element in Ci that belongs to both A and B, then the partition satisfies the conditions. This verification process can be done in polynomial time, making SET-SPLITTING in NP.

SET-SPLITTING is NP-hard:

To prove that SET-SPLITTING is NP-hard, we can reduce a known NP-complete problem, such as 3SAT, to SET-SPLITTING. This reduction shows that if we can solve SET-SPLITTING in polynomial time, we can also solve 3SAT in polynomial time.

The reduction works as follows:

Given an instance of 3SAT, which consists of a boolean formula in conjunctive normal form with three literals per clause, we can construct an instance of SET-SPLITTING as follows:

For each variable in 3SAT, create two sets in SET-SPLITTING, corresponding to the positive and negative occurrences of the variable. For example, if we have variable x, we create two sets: Ax and Bx.

For each clause in 3SAT, create a subset in SET-SPLITTING that contains literals corresponding to the variables in the clause. If a literal is negated in the clause, it belongs to the set with the corresponding negative occurrence, otherwise, it belongs to the set with the corresponding positive occurrence.

Now, we need to show that the reduction preserves the properties of the problems:

If the 3SAT instance is satisfiable, we can construct a valid partition in SET-SPLITTING by assigning true or false values to the variables and including the corresponding sets in the partition.

If there exists a valid partition in SET-SPLITTING, we can construct a satisfying assignment for the 3SAT instance by assigning true or false values to the variables based on the sets in the partition.

Therefore, we have shown that SET-SPLITTING is both in NP and NP-hard, which implies that it is NP-complete.

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The point that lies on the perpendicular bisector of AB is point N

The circle is given as:

Circle N

The chord is given as:

Chord AB

The perpendicular bisector of the chord is any line drawn from the center of the circle that divides the chord in equal halves.

This means that the point starts from point N

Hence, the point that lies on the perpendicular bisector of AB is point N

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The requried area of the shaded region is 4.56 square centimeters.

The area of a circle is given by the pie times square of the radius.

Area of circle = πr²

Here,
A right triangle is inscribed in a circle where the diameter of the circle is the hypotenuse of the right triangle,
So from the figure,
The area of the shaded region is given by the difference between the semi-circle LMN and the area of the right triangle LMN

The diameter of the circle is given by trig ratios,
sin 45 = 4/d

d = 4√2 So the radius will be d = 2√2

Now,
As hypotenuse is the diameter of the circle,
So LM = MN

Now,
Area of shaded region = area of semi-circle - an area of a triangle
Area of shaded region = πr²/2 - 1/2 × base × height

Area of the shaded region = 3.14 × [2√2]²/2 - 1/2 × 4 × 4
Area of shaded region = 4.56 cm²

Thus, the requried area of the shaded region is 4.56 square centimeters.

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Answer:

This is the picture answer :)

Step-by-step explanation:

The equation of the line with the given slope and y-intercept is y=12x+2.

Given that, the slope of a line=12 and y-intercept=2.

Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.

Where, m=slope and b=intercept.

Now, substitute slope=12 and y-intercept=2 in y=mx+b.

That is, y=12x+2

Therefore, the equation of the line is y=12x+2.

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To prove ΔABC ≅ ΔMQR using the SAS criterion, the two options that provide the required information are AB = QR = 31 cm and m∠A = m∠M or CB ≅ RQ and m∠C = m∠Q.

To prove that ΔABC ≅ ΔMQR using the SAS (Side-Angle-Side) criterion, we need to show that two sides and the included angle of one triangle are congruent to the corresponding sides and angle of the other triangle. Therefore, we need to choose two options that provide us with the required information.

The two options that provide the required information are:

AB = QR = 31 cm and m∠A = m∠M: This option provides us with the congruent sides AB and QR and the included angle ∠A = ∠M, as both have a measure of 64°. This satisfies the SAS criterion.

CB ≅ RQ and m∠C = m∠Q: This option provides us with the congruent sides CB and RQ and the included angle ∠C = ∠Q, as both have a measure of 56°. This satisfies the SAS criterion.

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The given question is incomplete, the complete question is:

What additional information could be used to prove ΔABC ≅ ΔMQR using SAS? Select two options. m∠A = 64° and AB = MQ = 31 cm CB = MQ = 29 cm m∠Q = 56° and CB ≅ RQ m∠R = 60° and AB ≅ MQ AB = QR = 31 cm?

The place value of 9 in 194.6 is tens or 90.

According to the question,

We have the following expression:

194.6

Now, we know that place value of any digit can be found easily. The place value of the digit at the right most corner (of a number without any decimal point) is unit, left to this digit we have place value of tens, then we have hundred, then thousand, ten thousand, etc.

Now, in this case, we have a decimal point. So, we will look at the last digit before the decimal point because it's place value is unit place. And the next left digit to this is tens.

Hence, the place value of 9 in 194.6 is tens.

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Answer:

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The first triangle has the ratios 10:6:8. The next one has the ratios 5:3:x. If you have paid close attention, you can divide the first one by 2 to get the second one. 8/2 is 4 so the correct answer is 4.

Hope this helps plz mark brainliest if correct :D

Answer:

18

Step-by-step explanation:

Equation 9 x 4 / 2 = 18

First do 9 x 4 which is 36

Next do 36 / 2 which is 18

Also the "/" is another way to say to divide

Using the binomial probability distribution, the probability of none of the 14 customers ordering a non-alcoholic beverage is approximately 0.000416 or 0.0416%.

We can solve this problem using the binomial probability distribution since we are interested in finding the probability of a specific number of successes (i.e., zero) in a fixed number of independent trials (i.e., 14 customers), where the probability of success (i.e., ordering a non-alcoholic beverage) is known and constant for each trial (i.e., 0.55).

The formula for the binomial probability distribution is:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting k successes in n trials

(n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items, and is calculated as n! / (k! * (n - k)!)

p is the probability of success in each trial

(1 - p) is the probability of failure in each trial

Using this formula, we can calculate the probability of none of the 14 customers ordering a non-alcoholic beverage as follows:

P(X = 0) = (14 choose 0) * 0.55^0 * (1 - 0.55)^(14 - 0)

= 1 * 1 * 0.45^14

≈ 0.000416

Therefore, the probability that none of the 14 customers will order a non-alcoholic beverage is approximately 0.000416, or 0.0416% (rounded to four decimal places).

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To double the initial deposit of $500 at an annual interest rate of 10% compounded annually, it will take approximately 7 years.

To determine the time it takes for the money to double, we need to consider the concept of compound interest. In this case, the interest is compounded annually at a rate of 10%.

When money is compounded annually, the formula to calculate the future value (FV) is given by the formula: FV = PV(1 + r)^n, where PV is the initial deposit, r is the interest rate, and n is the number of years.

We want to find the value of n when the future value (FV) is equal to double the initial deposit (2 * $500 = $1000). Therefore, the equation becomes: $1000 = $500(1 + 0.10)^n.

To solve for n, we can take the natural logarithm of both sides of the equation: ln($1000/$500) = ln(1.10)^n. Simplifying, we get: ln(2) = n * ln(1.10).

Using the logarithmic properties, we can isolate n: n = ln(2) / ln(1.10). Evaluating this expression, we find that n is approximately 7 years.

Hence, it will take approximately 7 years for the initial deposit of $500 to double at a 10% interest rate compounded annually.

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Answer:

164 cm^2

Step-by-step explanation:

lets find square of triangle first

corner ABD is 90 degrees coz corner ABC is 180 degrees and EBC is 90

(sum of all angles of a quadrilateral is 360,

B = 360 - C - F - E

360 - 90 - 90 - 90 = 90)

BD = CF - DE

BD = 16 - 8 = 8 cm

S ABD = AB * BD / 2 (coz corner B is 90 degrees)

S ABD = 13 * 8 / 2 = 13 * 4 = 52 cm^2

lets find square of BEFC next

S BEFC = CF * EF ( B = C = F = E = 90 so thats a rectangle)

S BEFC = 16 * 7 = 70 + 42 = 112 cm^2

finally lets find total area

S = S ABD + S BEFC = 52 + 112 = 164 cm^2

198714 to the nearest ten thousand:

The digit in the ten thousands place is:

Which place is used to decide which way to round the ten thousands place:

The second place from the left

--------------------------------

302895 to the nearest thousand:

7142 to the nearest ten:

24793 to the nearest hundred: