Solve the system of equations. I need the answer today
x=2-y
x-2y-11=0

Answer:

2160

Step-by-step explanation:

90%×2400

90/100×2400

90×24

2160

Answer:

  47/60

Step-by-step explanation:

You want to know the probability of a randomly selected student is on the honor roll or varsity team when 176 of 240 students are on the honor roll, 48 are on the varsity team, and 36 are on both.

The probability of A or B is ...

  P(A+B) = P(A) +P(B) - P(A·B)

The probability of interest is ...

  P(honor roll + varsity) = P(honor roll) + P(varsity) - P(honor roll & varsity)

  P(honor roll + varsity) = 176/240 +48/240 -36/240 = (176 +48 -36)/240

  = 188/240 = 47/60

The probability of interest is 47/60.

\(\blue{\huge {\mathrm{PROBABILITY}}}\)

\(\\\)

\({===========================================}\)

\({\underline{\huge \mathbb{Q} {\large \mathrm {UESTION : }}}}\)

\({===========================================}\)

\( {\underline{\huge \mathbb{A} {\large \mathrm {NSWER : }}}} \)

\({===========================================}\)

\({\underline{\huge \mathbb{S} {\large \mathrm {OLUTION : }}}}\)

We can use the inclusion-exclusion principle to find the number of students who are on the honor roll or are members of the varsity team.

This principle states that:

where:

Using this principle, we can find that:

\(\begin{aligned}\sf |Honors\cup Varsity|& =\sf |Honors| + |Varsity| − |Honors\cap Varsity|\\& =\sf 176 + 48 - 36\\& =\sf\red{188}\end{aligned}\)

Therefore, there are 188 students who are on the honor roll or are members of the varsity team.

The probability that a randomly selected student is on the honor roll or is a member of the varsity team is then:

\(\begin{aligned}\sf P(Honors\cup Varsity)& =\sf \dfrac{|Honors\cup Varsity|}{|Total|} \\ &=\sf \dfrac{188}{240} \\&=\boxed{\bold{\: \dfrac{47}{60}\:}}\end{aligned}\)

Therefore, the probability that a randomly selected student is on the honor roll or is a member of the varsity team is \(\boxed{\bold{\:\dfrac{47}{60}\:}}\)

\({===========================================}\)

\(- \large\sf\copyright \: \large\tt{AriesLaveau}\large\qquad\qquad\qquad\qquad\qquad\qquad\tt 04/02/2023\)

Answer:

900 ml of milk

Step-by-step explanation:

the scale is 1:1 so just multiply by 3

Answer:23/4

Step-by-step explanation:

8x-7(2)=32

8x-14=32

46/8

X=23/4

The required value of x is 22 degrees for the given figure.

Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.

As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:

According to the given figure, it can be written as follows:

2x + 24 + 6x - 20 = 180

8x + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Therefore, the required value of x is 22 degrees for the given figure.

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The complete question is as follows:

Find the value of x for the below figure.

Mae's walking speed is 10 miles per hour. This is calculated by considering the given information.

Let's assume Mae's walking speed is represented by the variable "x" (in miles per hour). According to the given information, her jogging speed would then be "x + 12.5" miles per hour.

To calculate Mae's exercise time, we can use the formula: time = distance / speed.

Mae jogs 27 miles at a speed of "x + 12.5" miles per hour, so her jogging time can be calculated as:

jogging time = 27 / (x + 12.5)

Mae walks an additional 3 miles at a speed of "x" miles per hour, so her walking time can be calculated as:

walking time = 3 / x

The total exercise time is given as 3 hours. Therefore, we can set up the equation:

jogging time + walking time = 3

Substituting the calculated values, we get:

27 / (x + 12.5) + 3 / x = 3

To solve this equation, we can start by multiplying all terms by x(x + 12.5) to eliminate the denominators:

27x + 27 * 12.5 + 3(x + 12.5) = 3x(x + 12.5)

Simplifying the equation:

\(27x + 337.5 + 3x + 37.5 = 3x^2 + 37.5x\)

Combining like terms:

\(30x + 375 = 3x^2 + 37.5x\)

Rearranging the terms to set the equation equal to zero:

\(3x^2 + 7.5x - 375 = 0\)

To solve this quadratic equation, we can use the quadratic formula:

x = (-b ± √(\(b^2\) - 4ac)) / (2a)

In this case, a = 3, b = 7.5, and c = -375. Substituting these values into the quadratic formula:

x = (-7.5 ± √(\(7.5^2\) - 4 * 3 * -375)) / (2 * 3)

x = (-7.5 ± √(56.25 + 4500)) / 6

x = (-7.5 ± √(4556.25)) / 6

Calculating the square root:

x = (-7.5 ± 67.5) / 6

Simplifying further:

x = (60 / 6) or x = (-75 / 6)

Since Mae's walking speed cannot be negative, the solution is x = 10.

Therefore, Mae's walking speed is 10 miles per hour.

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The complete question is:

For exercise, Mae jogs 27 miles then walks an additional 3 miles to cool down. If her jogging speed is 12.5 miles per hour faster than her walking speed and her total exercise time is 3 hours, what is her walking speed? The athlete's walking speed is

Answer:

$121

Step-by-step explanation:

First fin 10% of 110

11

then add that to 110

121

Answer:

$11

Step-by-step explanation:

Answer:

i do not understand how you wrote this please explain better

Step-by-step explanation:

Answer:

can you send a more clear photo its quite blurry

Water flows from reservoir 2 (110 ft) to reservoir 1 (15 ft) and reservoir 3 (55 ft) due to the pressure difference created by the varying water levels, with the flow rate determined by the magnitude of the pressure difference.

The three water reservoirs are connected to each other with galvanized iron pipes. Reservoir 1 has a free surface height of 15 ft, reservoir 2 has a height of 110 ft, and reservoir 3 has a height of 55 ft. Each reservoir is connected to the others via a pipe, and the three pipes meet at one node.

To understand how the water flows between the reservoirs, we can use the concept of water pressure. Water always flows from areas of higher pressure to areas of lower pressure.

In this case, reservoir 2 has the highest water level at 110 ft, so it has the highest pressure. Water will flow from reservoir 2 to reservoir 1 and reservoir 3 because their water levels are lower.

The water flow between the reservoirs is determined by the difference in their water levels. For example, the water level in reservoir 2 is 110 ft, and the water level in reservoir 1 is 15 ft. This means there is a pressure difference of 110 ft - 15 ft = 95 ft between the two reservoirs.

Water will flow from reservoir 2 to reservoir 1 until the pressure is equalized. Similarly, water will flow from reservoir 2 to reservoir 3, but the pressure difference will be different because the water level in reservoir 3 is 55 ft.

The pipe connecting reservoir 2 to reservoir 1 will have a higher flow rate compared to the pipe connecting reservoir 2 to reservoir 3 because the pressure difference is greater between reservoir 2 and reservoir 1.

In summary, the water will flow from reservoir 2 to reservoir 1 and reservoir 3 due to the difference in their water levels. The flow rate will depend on the pressure difference between the reservoirs.

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Answer:

0.1

Step-by-step explanation:

Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator

Answer:

n= 3

Step-by-step explanation:

3 (4 + n) = n + 18

you take 3x4=12

then 3x3=9 then you add 12 and 9 which would be in the ( )

12+9 = 21

then if you replace n =3 on other side and add it to 18 answer is 21

therefore both sides would equal 21 so n=3

3(4+3)=3+18

21=21

The expected value of the "Buy New" option is 724732.60.

Decision Tree:

To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:

Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:

Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)

Substituting the given values in the above formula, we get:

Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60

Therefore, the expected value of the "Buy New" option is 724,732.60.

Conclusion:

To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.

The expected value of the "Buy New" option is 724,732.60.

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The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

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The statement that is true is:

Statements 1 and 3

Let's examine each statement individually:

If n is a multiple of 8, then n is a multiple of 4. This statement is true because every number that is divisible by 8 is also divisible by 4. Since 8 is a multiple of 4, any multiple of 8 will have factors of both 8 and 4. If n is a multiple of 18, then n is a multiple of 2.

This statement is also true. Any number that is divisible by 18 is also divisible by 2 because 18 contains a factor of 2. Every multiple of 18 will have at least one factor of 2.

Statement 2 is not true. If n is a multiple of 18, then n is a multiple of 9.

This statement is false because there are numbers that are multiples of 18 but not multiples of 9. For example, 18 itself is a multiple of 18 but not a multiple of 9, as 18 divided by 9 is equal to 2.

Therefore, the correct answer is c) Statements 1 and 3.

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Answer:

Raspberry

Step-by-step explanation:

Strawberry label = raspberry

Raspberry label =strawberry

Strawberry and Raspberry label = blackcurrant

Answer:

8 and -16

Step-by-step explanation:

Let’s take the square root of both sides.

We get  |a+b|=12

 then replace 4 with “a”,

→  |4+b|=12

Now there are two possibilities for “b”.

→  4+b=12

or  4+b=−12

→ We get b = 8 from the first one and we get -16 from the second one,

So the answers are 8 and -16 .

Answer:

−11(−3−3x) ( i think)

Step-by-step explanation:

It should be noted that the geometrical constraint is that the average of the top and bottom lines will be the middle line thus the value of length XY is 18 units.

A quadrilateral is a geometrical 2d shape in which there are four sides and each side is connected and makes a close polygon.

The average of the top and bottom lines will be the middle line.

So, (6s + 1 + s)/2 = (4s - 2)

7s + 1 = 8s - 4

5 = s.

So,

XY = 4(5) - 2

= 20 - 2

= 18.

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18                18

2x9    or     3x6

/ /\               /  /\

2x3x3       3x2x3

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

\(\large\text{Factor tree is \bf{a special kind of diagram that you look for}}\\\large\text{\bf{for the factors of a given number, the factor out those given}}\\\large\text{\bf{until you CANNOT factor the number anymore!}}\)

\(\large\text{Now lets ANSWER your given QUESTION}\)

\(\large\text{18}\\\\\large\text{\bf{Factors:}}\large\text{ 1, 2, 3, 6, 9, \& 18}\\\\\large\text{\bf{Factor pairs: }}\large\text{(1 * 18), (2 * 9), \& (3 * 6)}\\\\\large\text{\bf{Prime factors: }}\large\text{2 * 3 * 3 = 6 * 3 = 18}\\\\\large\text{The \bf{Factor Tree}}\large\text{ of 18 would show: 2 \& 9 , 3 \& 3}\)

\(\text{Good luck on your assignment and enjoy your day!}\\\\\\\frak{Amphitrite1040:)}\)

\(\large\text{This is what the \underline{factor tree} SHOULD look like }\downarrow\)

The Poisson distribution is applied to events where the probability of occurrence of a certain number of events in a fixed interval of time, space, or distance is small but not necessarily "very small". False.

The Poisson distribution is used to model events that occur randomly and independently over a continuous or discrete interval of time, space, or distance, such as the number of phone calls received at a call center in an hour, the number of cars passing through a toll booth in a given time period, or the number of emails received per day. The Poisson distribution is characterized by a discrete probability mass function that describes the probability of a certain number of events occurring in a given interval, and it is widely used in probability theory and statistics for modeling events with low to moderate occurrence rates.

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The poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is very small.

Given statement is False.

Because, The Poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is not necessarily very small, but rather where the events occur randomly and independently at a constant average rate.

The Poisson distribution models the number of events that occur in a fixed time interval or within a certain area or volume of space, assuming that the events occur independently of each other and at a constant average rate. It is used in many fields, such as biology, physics, economics, and engineering, to model the occurrence of rare or common events.

The Poisson distribution has several important properties, including:

Its mean is equal to λ, and its variance is also equal to λ.

It is a discrete distribution, meaning that it models only whole numbers of events.

It is often used to model rare or unusual events, but can also be used for events that occur frequently, as long as they occur independently at a constant average rate.

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The uppercase letter H has reflectional symmetry and does not have rotational symmetry or point symmetry.

The uppercase letter H has reflectional symmetry. Reflectional symmetry, also known as mirror symmetry, means that there is a line (axis) along which the shape can be divided into two equal halves that are mirror images of each other. In the case of the letter H, a vertical line passing through the center of the letter can be drawn as the axis of symmetry. When the letter H is folded along this line, the two halves perfectly match.

The letter H does not have rotational symmetry. Rotational symmetry refers to the property of a shape that remains unchanged when rotated by a certain angle around a central point. The letter H cannot be rotated by any angle and still retain its original form.

The letter H also does not have point symmetry, which is also known as radial symmetry or rotational-reflectional symmetry. Point symmetry occurs when a shape can be rotated by 180 degrees around a central point and still appear the same. The letter H does not exhibit this property as it does not have a central point around which it can be rotated and remain unchanged.

In summary, the uppercase letter H exhibits reflectional symmetry but does not possess rotational symmetry or point symmetry.

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Answer:

The value  is  \( k =109.6 \ miles \)

Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

From the question we are told that

   The distance from city A to B is   AB =  467.3 miles

   The bearing from B to  C is  \(\theta_{BC} =  N 28.7E\)

   The bearing from B to  A is  \(\theta_{BA} =  N 60.7E\)

   The  bearing from A to  B is   \(\theta_{AB} =  S60.7W\)

    The  bearing from A to  C is   \(\theta_{AC} =  S79.1W\)

Generally from the diagram

     \(\theta_A  =  180 - 60.7 -79.1\)

=>  \(\theta_A  =  40.2 ^o\)

Also

     \(\theta_B  =  32^o \)

and  

      \(\theta_C  =  180 - (\theta_A  +\theta_B )\)

=>   \(\theta_C  =  180 - (40.2  + 32 )\)

=>   \(\theta_C  =  107.8 ^o\)

Generally according to Sine Rule

     \(\frac{BC}{sin (\theta_A)}  = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}\)

=>   \(\frac{BC}{sin (40.2)}  = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}\)    

So

     \(\frac{BC}{sin (40.2)}  = \frac{467.3 }{sin (107.8)}\)

=>  \(BC = 316.8 \ miles\)

Also  

    \(\frac{CA}{sin (32)} =  \frac{467.3 }{sin (107.8)}\)

    \(CA = 260 .1 \ miles \)

Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct​ flight is mathematically represented as

      \(k = [CA +BC]  - AB \)

=>     \( k = [260 .1 +316.8]- 467.3 \)

=>  \( k =109.6 \ miles \)

Answer:

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = expected outcome of event/total outcome of event

Given the total amount of chocolate in a box = 39chocolates

Amount of nuts = 16

Mount of caramel = 13

Amount of solid chocolate = 10

If he randomly selects a nut chocolate and eat, the probability of selecting a nut chocolate = Amount of nuts/total chocolate in the box = 16/39

IF he selects a seconnd piece (caramel chocolate) and eat, the probability of selecting a caramel chocolate = Amount of caramel/total chocolate in the box = 13/39 = 1/3

The probability of selecting a nut chocolate followed by a caramel chocolate will be 16/39*1/3 = 16/117

Maximum 8A/144 people are allowed to entire the park.

The entire space taken up by the surface of the park is called area.

If the park is rectangular shaped, then the area is the product of length and breadth. If it is square shaped, area can be determined by the square of the side length.

Given, length of unused space = 12 foot

    breadth of unused space = 12 foot

Area of unused space = 12 x 12 = 144 square feet

Maximum 8 people is allowed for every 144 squares feet space

Let, area of the entire park is A square feet

Now maximum number of people allowed = (8 × A)/ 144

hence, 8A/144 people is allowed.

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Answer:

It's 8.46 cause the preceding digit to 4=5

Hope it helps

Have a good day

Answer:

8.456 rounded to the nearest tenth = 8.5

Step-by-step explanation:

To round 8.456 to the nearest tenth consider the hundredths’ value of 8.456, which is 5 and equal or more than 5. Therefore, the tenths value of 8.456 increases by 1 to 5.

By using percentage, it can be calculated that

Percentage decrease in the screen time for Lora  = 40 %

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.

For example 9% means \(\frac{9}{100}\). Here 9 is expressed as a fraction of 100

Here, Percentage decrease will be calculated

Screen time for Lora last week = 840 minutes

Screen time for Lora this week = 504 minutes

Decrease in screen time for Lora = (840 - 504) minutes

                                                        = 336 minutes

Percentage decrease in the screen time for Lora = \(\frac{336}{840}\times 100\) = 40 %

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