Riley wants to put a poster in a frame. The original poster is 11 inches wide and 14 inches tall. The frame will be x inches thick on each side. The

figure shows the poster and its frame.

xin.

xin.

14 in.

xin.

11 in.

xin.

Riley knows he wants the total area of the poster and frame together to be no more than 320 square inches.

Which inequality correctly models this situation?

A 2 + 11x + 14 = 320

B. 2 + 25x + 154 3 320

OC. 4x2 + 11x + 14 < 320

OD

4x2 + 50x + 154 3 320

Answer:

B and E

Step-by-step explanation:

A. Incorrect; the expanded form of 3(4x + 3) is 12x + 9

B. Correct; the cumulative property of addition was applied here.

C. Incorrect; this adds up to 8x + 52, which is not equivalent to 12x + 9

D. Incorrect; this equals 13

E. Correct; this is the expanded form of 3(4x + 3)

Answer:

b e

becuase it is b and e

Answer:

3rd option

Step-by-step explanation:

Substitute x = 0 into f(x) and check if the result is - 6

f(0) = (0 + 1)(0 + 2)(0 + 3) = 1 × 2 × 3 = 6 ≠ - 6

f(0) = (0 + 1)(0 - 2)(0 - 3) = 1 × - 2 × - 3 = 1 × 6 = 6 ≠ - 6

f(0) = (0 - 1)(0 + 2)(0 + 3) = - 1 × 2 × 3 = - 1 × 6 = - 6 ✔

Thus the 3rd option crosses the y- axis at (0, - 6 )

Answer:

(x + 1)(x + 2) is divisible by 3.

Step-by-step explanation:

Assume that x is not divisible by 3. This means that x can be expressed as x = 3k + r, where k is an integer and r is the remainder when x is divided by 3. Since x is not divisible by 3, the remainder r must be either 1 or 2.

Case 1: r = 1

If r = 1, then x = 3k + 1. Now let's consider (x + 1)(x + 2):

(x + 1)(x + 2) = (3k + 1 + 1)(3k + 1 + 2)

= (3k + 2)(3k + 3)

= 3(3k^2 + 5k + 2)

We can see that (x + 1)(x + 2) is divisible by 3.

Case 2: r = 2

If r = 2, then x = 3k + 2. Now let's consider (x + 1)(x + 2):

(x + 1)(x + 2) = (3k + 2 + 1)(3k + 2 + 2)

= (3k + 3)(3k + 4)

= 3(3k^2 + 7k + 4)

We can see that (x + 1)(x + 2) is divisible by 3.

Hence, the statement is proven.

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Answer:

333 coins

Step-by-step explanation:

Simply multiply 37% by the total number of coins, 900:

37%(900)

= (37/100)(900)

= (900 / 100) * 37

= 9 * 37

= 333 coins

Also, optionally check this by dividing 333 by 900 to get 0.37:

333 ÷ 900 = 0.37 = 37%

It is two dollars! On E2020 it is A!

Answer:

Step-by-step explanation:

Time taken in each lap = 4 min

Total laps = 11

Total time = 11 x 4 = 44min

Answer:

44 minutes

Step-by-step explanation:

4 minutes per lap . He is running 11 laps. Multiply 4 times 11 and it equals 44

The volume of the diamond can be calculated by dividing its mass by its density. Given that the mass of the diamond is 712.04 grams and the density is 3.51 grams/cm^3, we can determine the volume using the formula: Volume = Mass / Density.

By substituting the given values into the formula, we get: Volume = 712.04 g / 3.51 g/cm^3.

Performing the calculation, we find that the volume of the diamond is approximately 202.86 cm^3.

Therefore, the correct answer is 202.86 cm^3.

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Answer:

36m/3

Step-by-step explanation:

because I took the test and all ready know that answer

The last statement is true about Tim's solution to the problem. The value 8.5 is the correct solution to the equation, but it is not reasonable, because there can't be 8.5 students in a class. This means the problem's situation can't be true.​

It is given to us that -

If we solve the equation 35 = 2(9+k), we get

35=2(9+k)

=> 9+k= 35/2 = 17.5

=> k = 17.5-9

=> k = 8.5

This implies that the number of students that Mr. Khan has is 8.5.

Although the value of k=8.5 satisfies the equation defined by Tim, yet this cannot be true because there cannot be 8 and a half students in the class.

Thus, it can be said that the problem's situation cannot be true.

Therefore, the last statement is true about Tim's solution to the problem. The value 8.5 is the correct solution to the equation, but it is not reasonable, because there can't be 8.5 students in a class. This means the problem's situation can't be true.​

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The simplified form of the given equation is y=x²+2x+1.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The given equation is y=(x+1)².

Here, by using (a+b)²=a²+2ab+b², we get

y=x²+2x+1²

y=x²+2x+1

Therefore, the simplified form of the given equation is y=x²+2x+1.

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The number of hours that Aiden played the video game is 6 hours.

We can start by finding 3/4 of the total time that Mr. Peña played video games. To do this, we can multiply 3/4 by the total time of 8 hours:

= 3/4 * 8 hours

= (3 x 8) / 4 hours

= 24/4 hours

= 6 hours

Therefore, Aiden played video games for 6 hours, which is 3/4 of the total time that Mr. Peña played video games.

To understand why we multiply 3/4 by 8, we can think of it as finding 3/4 of a whole. In this case, the whole is the total time of 8 hours that Mr. Peña played video games. To find 3/4 of the whole, we can multiply the whole by 3/4. This gives us the fraction of the whole that we are interested in, which in this case represents the time that Aiden played video games.

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Trisha needs to invest $ 26,666.66 to save $ 8,000 in 5 years.

Given that Trisha needs to save $ 8000 in order to afford to buy a car in five years, and she is going to invest in a savings account that promises an APY (Annual Percentage Yield) of 6% rounded to the nearest penny, to determine how much does she need to invest, the following calculation must be performed:

You must consider an unknown number, and multiply that number by the interest generated and the amount of time of said interest.

Therefore, Trisha needs to invest $ 26,666.66 to save $ 8,000 in 5 years.

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There are six different min heaps that can be made using the set of integers {88, 2, 9, 36}.

To understand why there are six different min heaps, we first need to know what a min heap is. A min heap is a binary tree where the parent node is always smaller than or equal to its child nodes.

Now, let's consider the set of integers {88, 2, 9, 36}. To make a min heap, we start by taking the smallest integer and making it the root of the tree. So, we can start with either 2 or 9 as the root.

If we start with 2 as the root, we have three choices for the second level of the tree: 9, 36, or 88. If we choose 9 as the second level, then we have only one choice for the third level, which is 88. If we choose 36 as the second level, we have two choices for the third level: 88 or 9. If we choose 88 as the second level, we have only one choice for the third level, which is 9. Therefore, starting with 2 as the root, we have a total of 3 possible min heaps.

If we start with 9 as the root, we have two choices for the second level: 2 or 36. If we choose 2 as the second level, we have only one choice for the third level, which is 88. If we choose 36 as the second level, we have only one choice for the third level, which is 88. Therefore, starting with 9 as the root, we have a total of 2 possible min heaps.

So, adding up the possibilities from both starting points, we get a total of 3 + 2 = 5 possible min heaps. However, we need to consider one more possibility: starting with 36 as the root. In this case, we have only one choice for the second level, which is 88. Therefore, starting with 36 as the root, we have a total of 1 possible min heap.

Therefore, the total number of different min heaps that can be made using the set of integers {88, 2, 9, 36} is 3 + 2 + 1 = 6

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Answer:

The answer is 2

Step-by-step explanation:

2x3=6 +1 =7

Answer:

answer is : 2

Step-by-step explanation:

2x3=6+1=7

The PQRS and TSUV are congruent parallelograms, they have the same shape and size. angle PQR is congruent to angle TSU, since they are opposite angles in parallelograms PQRS and TSUV, respectively. so angle TSU in parallelogram TSUV is congruent to angle PQR.

The following are a parallelogram's characteristics:

The two opposing sides are level and parallel.

The opposing angles line up evenly.

The following or adjacent angles are extra.

Every angle will be at a right angle if even one of the other angles is.

PQRS and TSUV are congruent parallelograms, which denotes that their dimensions are the same. The parallelograms' corresponding angles are therefore equal.

Angle PQR is an interior angle in the parallelogram PQRS that is opposite to the adjacent angle PQS, whereas angle UTS is an internal angle in the parallelogram TSUV that is opposite to the adjacent angle TSV.

We can infer that angle PQR and angle UTS are related angles and are hence congruent because PQRS and TSUV are congruent.

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Answer:

A

Step-by-step explanation:

The height of the tree to 1 dp is 17.6 m

The angle of elevation is an angle that is formed between the horizontal line and the line of sight.

To find the height of the tree , trigonometric ratio can be used.

The height of the tree from the eye level is the opposite

The distance between the person and the tree is the adjascent.

Therefore;

tan35° = x/23

x = tan35 × 23

x = 16.1 m

The height of the tree will be;

h = 16.1 + 1.5

= 17.6

Therefore the height of the tree is 17.6m

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Answer:

5.9 hours, 10£

Step-by-step explanation:

For the first question, you must find how long it would take 1 knitter to do all the work, and you can move on from there. Since it takes 11 knitters 7 hours, it would take 1 knitter 11 times as long, meaning it would take 7*11=77 hours for 1 knitter. Now we can divide 77 hours by 13 as 13 knitters could to it in 1/13 of the time. Dividing 77 by 13 we get 5.9 hours.

For the second question, if each person pays 9£, and there are 10 people, in total they are paying 10*9£=90£. This means that if the spit it up between 9 people instead, each would by 90£/9=10£. This means they would each have to pay 10£.

Solve the system x+y=5 -2x+4y=8 then the value = (2,3) and x= 2 , y= 3 Given details in the question are  as follows :

x+y=5

-2x+4y=8

By substitution method :

x= 5-y..(1)

-2x=8-4y..(2)

-2(5-y) = 8 - 4y

-10 +2y = 8 -4y

-10-8 = -4y -2y

-18 = -6y

2 =y

now put the value of y in equation (1)

x+y=5

x+2=5

x=5-2

x=3

solve the system x+y=5 -2x+4y=8 then the value = (2,3) and x= 2 , y= 3.

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Answer:

10^2 +6/2

100+3

103

Step-by-step explanation:

Answer:

103

Step-by-step explanation:

\( {a}^{2} + \frac{6}{b} \\ \\ = {(10)}^{2} + \frac{6}{2} \\ \\ = 100 + 3 \\ \\ = 103\)

The arrival time will be 1:45 pm (13:45) on the day after the departure day.

To see why, we can add the travel time of 25 hours and 25 minutes to the departure time of 12:20 pm.

First, we convert 25 minutes to hours by dividing by 60:

25 minutes ÷ 60 minutes/hour = 0.42 hours

Then, we add the 25 hours and 0.42 hours to the departure time:

12:20 pm + 25 hours + 0.42 hours = 1:45 pm

So the train will arrive in Alice Springs at 1:45 pm on the day after it departs from Adelaide.

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The measurement that is closest to the value of x, in centimeters, is given as follows:

14.3.

In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.

Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.

The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.

Then the length of x is calculated as follows:

x² = 11.9² + 7.9²

x = square root of (11.9² + 7.9²)

x = 14.28.

Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.  

We suppose that 11.9 cm and 7.9 cm are the measures of the legs.

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We can use labelling to solve the problem.

To solve this problem, you can follow these steps:

1. Choose one of the three boxes and take out a ball from it.

2. Check the color of the ball. Let's say it is red.

3. Since the labels on the boxes always lie, you can be sure that the box you chose does not contain only red balls. Therefore, it must either contain a mixture of red and blue balls, or only blue balls.

4. Since you know that one box contains only red balls, and you have already ruled out the possibility that the box you chose contains only red balls, you can conclude that the box you chose must contain only blue balls.

5. Therefore, you can correctly label the box you chose as "blue balls only".

6. You can then label the remaining two boxes as "red balls only" and "mixture of red and blue balls", since you know that one of the boxes contains only red balls, and the other must contain a mixture of red and blue balls.

Therefore, we used labelling to solve the problem.

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Answer:

what? I don't understand lol

Answer:

integers

Step-by-step explanation:

so negative and positive are numbers in questions so no.

and def not Imaginary numbers

Answer:

As it can be seen in the attachment below,making C the correct answer hope it helped

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I took the quiz .

The distance between the two metropolises on the chart is 9 elevation.

What's distance?

Distance refers to the quantum of space between two points or objects. It's a physical volume that can be measured and is generally expressed in units similar as measures, kilometers, long hauls, or bases.

According to question-

In this case, the scale of the chart is3/4 inch = 80 long hauls.

So, for every3/4 inch on the chart, the factual distance in real life is 80 long hauls.

To find the distance between metropolises on the chart, we need to convert the factual distance into a distance on the chart using the scale.

Let's suppose the factual distance between two metropolises is 240 long hauls. also, to find the distance between those metropolises on the chart, we can set up a proportion

/ 4 inch 80 long hauls = x elevation 240 long hauls

We cancross -multiply to break for x

inch * 240 long hauls = 80 long hauls * x elevation

720 = 80x

x = 9 elevation

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Solution:

The volume of a cylinder is expressed as

Given the cylindrical water tank below:

where

By substitution, we have

Hence, the volume of the cylindrical water tank, to the nearest whole number, is

The mean of binomial distribution is 5.

Binomial distribution is a probability distribution used in statistics that summarizes the likelihood that a value will take one of two independent values under a given set of parameters or assumptions. Binomial distribution is a common discrete distribution used in statistics, as opposed to a continuous distribution, such as normal distribution. This is because binomial distribution only counts two states, typically represented as 1 (for a success) or 0 (for a failure) given a number of trials in the data. Binomial distribution thus represents the probability for x successes in n trials, given a success probability p for each trial.

Binomial distribution summarizes the number of trials, or observations when each trial has the same probability of attaining one particular value. Binomial distribution determines the probability of observing a specified number of successful outcomes in a specified number of trials.

For a binomial distribution, the probability of success is 20% and sample size is 25. We have to find the mean for a binomial distribution.

n = 25

p = 20% = 0.2

Mean of binomial distribution, μ, is

μ = n × p = 25 × 0.2 = 5

Thus, the mean of binomial distribution is 5.

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Answer:

n = 63

Step-by-step explanation:

75 - 12 = n

75 - 12 = 63

hope this helps...

Answer:

n = 63

Step-by-step explanation:

We have: n+12 = 75

Subtract 12 from both sides and we get: n = 63