How do you do this question?

The ratio of the amount of money Alice has to the amount Bob has is approximately 3.36 : 1.

According to the problem, two equations can be set up:

If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. This gives us the equation:

A + n = 7(B - n)

If Alice gives n dollars to Bob, then she will have 2 times as much money as Bob. This gives us the second equation:

A - n = 2(B + n)

We can rearrange these equations to make them easier to solve:

8n = 7B - A

3n = A - 2B

Setting these equal to each other, since they are both equal to 24n, gives:

21B - 3A = 8A - 16B

37B = 11A

A / B = 37 / 11

= 3. 36

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Answer:

The inequality which represents the graph is y ≤ -2x + 1 ⇒ A

Step-by-step explanation:

To solve the question you must know some facts about inequalities

Let us study the graph and find the correct answer

∵ The line represented the inequality is solid

∴ The sign of inequality is ≥ or ≤

→ That means the answer is A or B

∵ The shaded area is the area of the solutions of the inequality

∵ The shaded area is below the line

∴ The sign of inequality must be ≤

→ That means the correct answer is A

∴ The inequality which represents the graph is y ≤ -2x + 1

Interesting :0 did it rain that much-

Answer:

4a + 6d

Step-by-step explanation:

3a + 4d + a + 2d

3a + a + 4d + 2d

Answer: 4a + 6d

\(y = 1.38x + 12.60\)

Step-by-step explanation:

Answer:

I think yes is the correct answer

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE let

Answer:

Yes

Step-by-step explanation:

Because they are different

Answer:

d<-3

Step-by-step explanation:

-7d + 8 > 29

subtract 8 from each side

-7d>21

multiply both side by -1 and reverse the inequality sign

7d<-21

divide both sides by 7

d<-3

hope this helps :)

The given statements "The first derivative of a linear function, whose graph is a horizontal straight line, must equal to zero" is True, "The second derivative of a second-degree function will always equal a constant." is True, and "If the point (2,1) is an inflection point for f(x), then f" (2)=0" is False

The first derivative of a linear function, whose graph is a horizontal straight line, must equal to zero. This statement is true. A linear function is of the form f(x) = mx + b, where m is the slope and b is the y-intercept. If the graph is a horizontal straight line, the slope is zero, so the first derivative of f(x) is also zero.

The second derivative of a second-degree function will always equal a constant. This statement is true. A second-degree function is f(x) = ax² + bx + c, where a is not zero. The first derivative of this function is f'(x) = 2ax + b, and the second derivative is f''(x) = 2a, which is a constant.

If the point (2,1) is an inflection point for f(x), then f" (2)=0. This statement is false. An inflection point is a point where the concavity of the function changes. At an inflection point, the second derivative of the function is zero or undefined, but the converse is not necessarily true. Therefore, if the point (2,1) is an inflection point for f(x), it does not necessarily follow that f''(2) = 0.

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Answer:

x = 0 , x = 2

Step-by-step explanation:

3x² = 6x ( subtract 6x from both sides )

3x² - 6x = 0 ← factor out 3x from each term

3x(x - 2) = 0

equate each factor to zero and solve for x

3x = 0 ⇒ x = 0

x - 2 = 0 ( add 2 to both sides )

x = 2

solutions are x = 0 , x = 2

Answer:

x=-5

Step-by-step explanation:

-3x+25=40

      -25   -25

-3x=15

  /-3    /-3

x=-5

Hope I helped!

Answer:

x= -5

Step-by-step explanation:

1. Subtract both sides by 25.

2. Divide both sides by -3

\( - 3 x= 15\)

\( \frac{ - 3x}{ - 3} = \frac{15}{ - 3} \)

3. Simplify

\(x = - 5\)

Answer:

(L-6)(L+2)

Step-by-step explanation:

Let L be the length of the flower garden.

Then the width will be L-4.

The area of the flower garden = L*(L-4) =L²-4L

The area of the birdbath is 3*4 = 12 ft²

The area of the remaining space for planting is

= Area of flower garden - area of birdbath

We can factor the expression as follows:

taking common frome each two terms

Therefore, the number of feet left for planting is (L-6)(L+2) in factored form.

\(\huge\fbox{Answer ☘}\)

therefore ,

\(\bold\blue{mass \: = 780g}\\\)

\(\bold\green{----------------}\)

dimensions of the given block are

‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ 2 cm × 5 cm × 6 cm

\(\bold\purple{Volume = l \times b \times h }\\\\ \bold \purple{⇢ (2 \times 5 \times 6) \: cm {}^{3}} \\\\\bold\purple{ ⇢60cm {}^{3}} \)

therefore ,

\(\bold\blue{Volume = 60cm {}^{3}} \)

\(\bold\green{----------------}\)

\(\bold\pink{Density = \frac{mass}{volume} }\\ \\ \bold\pink{ ⇢ \cancel\frac{780 \: g}{60 \: cm {}^{3} } } \\ \\ \bold\pink{⇢13g \: cm {}^{ - 3} }\)

therefore ,

\(\bold\blue{Density \: = 13 \: g \: cm {}^{ - 3} }\)

hope helpful~

The mass, volume and density of the block of metal are 780 grams, 60 cm³ and 13 g/cm respectively

volume = lwh

where

Therefore,

volume = 6 × 5 × 2 = 60 cm³

Therefore,

mass = 780 grams

volume = 60 cm³

density = mass / volume

density = 780 / 60

density = 13 grams per centimetre

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The value of x is; x = 3.14

Here, we have,

from the given diagram, we get,

there is a right angle triangle.

we have to find the value of x.

we know that,

Let the angle be θ , such that

cos θ = base / hypotenuse

here, we get,

cos 17 = 3/x

so, we have,

0.956 = 3/x

so, x = 3.14

Hence, The value of x is;x = 3.14

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The given radical in imaginary form as ±7i.

The given number is √-49.

Radical form is the expression that involves radical signs such as square root, cube root, etc instead of using exponents to describe the same entity.

Here, √-49 =±7i

Therefore, the given radical in imaginary form as ±7i.

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Answer:

D.

Step-by-step explanation:

6a² = surface area for cube

6(5)² = 150

2\(\pi\)(r)(h)+2\(\pi\)r²  = surface area cylinder

2\(\pi\)(2)(3)+2\(\pi\)(4) = 20pi

150 + 20pi = 212.8318531

The denominator of the fraction at point Y is equal to 24.

In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

Let the variable d represent the denominator of the fraction at point Y and since point Y is the same distance from 0 as point X, which is at 2/3 on a number line, this can be modeled by this mathematical expression:

8/d = 1 - 2/3

8/d = 1/3

Cross-multiplying, we have:

d = 8 × 3

d = 24.

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Multiply the area of the circle by the percentage:

60 square units x 50% = 60 x 0.50 = 30

50% 0f the circle id 30 square units.

Answer:

112 m²

Step-by-step explanation:

\(A=bh=(14)(8)=112\) m²

The critical value to use in constructing the confidence interval is 1.645. This critical value corresponds to the 90% confidence level.

The critical value to be used in constructing the 90% confidence interval is 1.645. This is the z-score associated with a 90% confidence level. In other words, this is the value that is 1.645 standard deviations away from the mean. This value is found using the z-table, which contains the probability values for a standard normal distribution.

Therefore, the critical value to use in constructing the confidence interval is 1.645. This critical value corresponds to the 90% confidence level.

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Answer:

The circumference of the circle is 94.2m.

Step-by-step explanation:

The circumference of a circle is:

C = pi•d

Fill in the diameter which was given, 30m.

C = pi•30

use 3.14 for pi

C = 3.14 • 30

C = 94.2

The circumference is 94.2m

The probability that less than 75% of the sample students have iPhones is approximately 0.2478.

What is probability?

This is a binomial probability problem, where each student either has an iPhone or does not have an iPhone, and the probability of success (having an iPhone) is 0.789.

Let X be the number of students in the sample who have an iPhone. We want to find P(X < 0.75 * 50) = P(X < 37.5)

Using the binomial probability formula, we have:

P(X < 37.5) = Σ P(X = k), for k = 0, 1, 2, ..., 37

However, this is a tedious calculation. Instead, we can use a normal approximation to the binomial distribution, since n * p = 50 * 0.789 = 39.45 > 10 and n * (1 - p) = 50 * 0.211 = 10.55 > 10.

Using the normal approximation, we can standardize the random variable X:

Z = (X - μ) / σ

where μ = n * p = 39.45 and σ = √(n * p * (1 - p)) = √(50 * 0.789 * 0.211) = 2.88.

Then, we have:

P(X < 37.5) = P(Z < (37.5 - 39.45) / 2.88) = P(Z < -0.68)

Using a standard normal table or calculator, we find that P(Z < -0.68) is approximately 0.2478.

Therefore, the probability that less than 75% of the sample students have iPhones is approximately 0.2478.

Binomial probability is a type of probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes: success or failure. It assumes that the probability of success in each trial is constant, and the trials are independent of each other. The binomial distribution is characterized by two parameters: the number of trials and the probability of success in each trial.

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The sum of the geometric sequence in this problem is given as follows:

5.77.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.

The first term, the common ratio and the number of terms for this problem are given as follows:

\(a_1 = 10, q = -\frac{2}{3}, k = 8\)

The formula for the sum of the first n terms is given as follows:

\(S_n = a_1\frac{1 - r^n}{1 - r}\)

Hence the sum for this problem is given as follows:

\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)

\(S_8 = 5.77\)

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Answer:

f(3)=73

Step-by-step explanation:

So, when you see something like this, all you need to do is plug the number in for the variable.

In this case, plug 3 in for x.

f(3)=20(3)+13

20*3=60

60+13=73

f(3)=73

Answer: They'll have the same amount of money in 9 months. They'll have $190

Step-by-step explanation:

Make a chart showing each month, with how much they have. Every time you add a month, subtract 45 to Sonya's amount of add 15 to Cameron's amount. Eventually, you'll get that they will both have $190 in 9 months. Hope this helped!

Based on the number of goals scored in the football matches, the mode is 4 goals. The median is 3 goals and the mean goals scored is 2.6 goals.

The mode is the number of goals that was scored in the most matches. This number is 4 goals as this was scored in 6 matches.

To find the median, order the numbers:

0, 0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 6

The median is:

= (3 + 3) / 2

= 3

The mean is:

= (0 + 0 + 0 + 0 + 1 + 1 + 2 +2 +2 + 3 + 3 + 3 + 4 + 4+ 4 + 4 +4 + 4 + 5 + 6) / 20

= 2.6 goals

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The number that produces an irrational number when multiplied by 0.4 is 3π. The correct option is A. \(3\pi\)

To determine which number produces an irrational number when multiplied by 0.4

First and foremost, 0.4 is a rational number.

A rational number is a number that is of the form \(\frac{p}{q}\) where p and q are integers and q is not equal to 0.

0.4 can be written as \(\frac{4}{10}\) or \(\frac{2}{5}\), hence, it is a rational number.

Now,

Any irrational number when multiplied by a rational number other than zero will also be irrational.

Therefore, we are to determine which of the given options is an irrational number.

π is an irrational number, therefore 3π is also an irrational number

0.444... can be expressed as 4/9, therefore it is a rational number

\(\sqrt{9}\) = 3, which can be expressed as 3/1, therefore it is a rational number

\(\frac{2}{7}\) is a rational number

The only irrational number among the given options is 3π

Hence, the number that produces an irrational number when multiplied by 0.4 is 3π. The correct option is A. \(3\pi\)

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Reminding pupils that tests will be based on the subject they are learning is an example of a teacher who is not utilizing an effective method for altering preconceptions.

Having kids rectify their own errors is the greatest way to address errors. In an ideal world, a student would spot a mistake and correct it without prompting, but that isn't always the case. If a student provides a wrong response to a question, you might gently remind them to try again.

There are too many diversion sources.

Nowadays, there are so many external stimuli that it's no surprise that a lot of kids feel distracted. Social media, friends, phones, television, video games, and outings all have an impact on how well kids are able to concentrate on their studies.

Every pupil who enters my door is unique. Every teacher uses a built-in strategy to deal with this difficulty. Differentiation refers to including as many modes of learning as you can in a class.

It goes without saying that some educators are educating learners who are misinformed about the subject matter they are studying.

Only a few educators are employing the precise techniques that could aid in clearing up all of these misunderstandings about the subject matter for their students.

Few professors provide pupils who exhibit misconceptions with corrective feedback in order to change such assumptions.

Therefore,

Reminding pupils that tests will be based on the subject they are learning is an example of a teacher who is not utilizing an effective method for altering preconceptions.

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Answer:

There are 12 face cards and 4 aces in a standard deck, so the probability of drawing a face card is 12/52 = 3/13, the probability of drawing an ace is 4/52 = 1/13, and the probability of drawing any other card is 1 - 3/13 - 1/13 = 9/13.

The expected gain from drawing a face card is $13, from drawing an ace is $6, and from drawing any other card is -$3. Therefore, the expected gain from this game is:

(3/13)($13) + (1/13)($6) + (9/13)(-$3) = $0

This means that over many games, on average, you would neither win nor lose any money playing this game.

Answer:

2200 yds

Step-by-step explanation:

There are 1760 yards in a mile

1760 ( 3/4 + 1/2) = 2200 yds