In a group of 20 students, there are 7 boys. What is the ratio of girls to boys?

The number 2/5 is both a ratio and a fraction.

The number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.

The expression is also a ratio because it indicates the quantitative relationship between the figures.

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Answer:

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

Collinear points are the points on the same line.

There are two lines in the diagram.

The collinear points:

The points that are collinear are  D,G and E  and another set of points which are collinear are L,G and J.

The points which lie on the same straight line are known as collinear points.

Similarly, if three or more number of points are collinear then they form a straight line.

If we observe the figure, the points D,G and E are collinear points as they are on same line.

Similarly the points L, G and H are in the straight line which makes them collinear.

Therefore , the points L,G and J are collinear points.

Hence, the points that are collinear are  D,G and E and another set of points which are collinear are L,G and J

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The length of ML rounded to nearest tenth is 4.5.

From figure, KML is a right-angled triangle at M, with KM = 8 and KL = 9.2. Let ML = x be the length of the base.

Using Pythagorean theorem, we have:

KL² = KM² + ML²

Substituting the given values ML=x, KM = 8 and KL = 9.2, we have:

9.2² = 8² + x²

Simplifying the right-hand side, we get:

84.64 = 64 + x²

Subtracting 64 from both sides, we get:

20.64 = x²

Taking the square root of both sides, we get:

x ≈ 4.54

x=4.5 (rounded to nearest tenth)

Therefore, the length of ML is approximately 4.5.

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Answer:

27*n

Step-by-step explanation:

A theater has 27 rows with n seats in each row. Which expression shows how many seats are in the entire theater?

27n or 27*n

You got it right.

Ex: A theater has 27 rows with 2 seats in each row.  Which expression shows how many seats are in the entire theater?

27*2 = 54 seats

Hope this helps!

The expression showing the number of seats in the considered entire theater is given by: Option A: \(27 \times n\)

Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as \(a\) and \(b\)

Then, their multiplication can be interpreted as:

\(a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}\)

For example,

\(5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}\)

Now, for the considered situation in the problem's statement, we are specified that:

So, total number of seats = n + n + ... + n (27 times) = \(27 \times n\)

Thus, the expression showing the number of seats in the considered entire theater is given by: Option A: \(27 \times n\)

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The graph of the function f(x) = 5(2)^x is an upward-sloping exponential curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing the x-axis.

The function f(x) = 5(2)^x represents exponential growth. Let's analyze its graph.

As x increases, the value of 2^x grows exponentially. Multiplying it by 5 further amplifies the growth. Here are a few key points to consider:

When x = 0, 2^0 = 1, so f(0) = 5(1) = 5. This is the y-intercept of the graph, meaning the function passes through the point (0, 5).

As x increases, 2^x grows rapidly. For positive values of x, the function will increase quickly. As x approaches positive infinity, 2^x grows without bound, resulting in the function also growing without bound.

For negative values of x, 2^x approaches zero. However, the function is multiplied by 5, so it will not reach zero. Instead, it will approach y = 0, but the graph will never touch or cross the x-axis.

The function is always positive since 2^x is positive for any value of x, and multiplying by 5 does not change the sign.

Based on these observations, we can conclude that the graph of f(x) = 5(2)^x will be an exponential growth curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing or touching the x-axis.

The graph will have a smooth curve that rises steeply as x increases. The rate of growth will be determined by the base, in this case, 2. The larger the base, the steeper the curve. The function will approach but never reach the x-axis as x approaches negative infinity.

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Step-by-step explanation:

I don't think it gives you enough information, if I had to guess, and I'm not sure if this is right, I would do 180-68 and get 112! so I would say 112 but im not sure

Given:

z1 = -5 +4i

z2= 3 + 2i

Add both

z1 + z2 = -5 + 4i + 3+ 2i = -2 + 6i

-2 + 6i = Q

Answer: Q

The average grade for this test is given as follows:

1.85.

The average grade is obtained as the mean of the data-set containing all the grades, which is given by the sum of all grades divided by the number of grades.

Considering the numerical equivalents of each letter, the grades in this problem are given as follows:

The total number of grades is given as follows:

11 + 18 + 52 + 13 + 6 = 100.

The sum of these grades is given as follows:

11 x 0 + 18 x 1 + 52 x 2 + 13 x 3 + 6 x 4 = 185.

Hence the average grade is of:

185/100 = 1.85.

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Answer:

3:26 is the ratio

Step-by-step explanation:

there are 3 to every 26, so it is 3:26

hope this helped!

The radius (r) of the cone and the cylinder are the same, as they share the same circular base. In the example, r=6 cm.

what is radius?

Radius is a mathematical term used to describe the distance between the center of a circle or sphere and its perimeter or surface, respectively. In other words, it is the length of a line segment that connects the center of a circle or sphere to any point on its circumference or surface.

what is cone ?

A cone is a three-dimensional geometric shape that tapers smoothly from a flat, circular base to a point called the apex or vertex. The shape of a cone is characterized by its radius (the distance from the center of the base to its edge) and its height (the distance from the base to the apex).

In the given question,

1) The radius (r) of the cone and the cylinder are the same, as they share the same circular base. In the example, r=6 cm.

2) The volume of the cone in the example is smaller than the volume of the cylinder. This is because the cone has a slanted side, which takes up less space than the straight sides of the cylinder with the same base and height.

3)If the height of the cone in the example is tripled to 15 cm, then the volume of the cone would increase by a factor of 9 (3^2), since the volume of a cone is proportional to the cube of its height. Thus, the volume of the cone would become 540π cubic centimeters. However, the volume of the cylinder would remain the same at 180π cubic centimeters, since the height of the cylinder remains unchanged. Therefore, the volume of the cone would be three times larger than the volume of the cylinder.

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9514 1404 393

Answer:

  $2,210.16

Step-by-step explanation:

The applicable formula for the account balance is ...

  A = P(1 +r/n)^(nt)

where principal P is invested at annual rate r compounded n times per year for t years. Here, we have P=2000, r=0.02, n=12, t=5. The balance is ...

  A = $2000(1 +0.02/12)^(12·5) = $2210.16

__

Numerous calculators, apps, web sites, and spreadsheets can figure this for you.

Answer:

in picture

Step-by-step explanation:

added in the picture

Answer:

this triangle is a acute angel so it 3

Answer:

180°

Step-by-step explanation:

So supplementary agles are angles that add up to 180 degrees thus the measure of each angle is 180 degrees.

The 4x+ 9 and 8x+3 are meant to confuse you. But if you need help figuring out what x is i can help :)

HOPE IT HELPED.

Since, P(male)*P(fail)= 0.33 and P(male and fail) = 0.33 , the two results are equal and independent.

What is Probability?

The possibility of outcome of any event is found by probability. as for an example whenever we toss a coin in the air, then what is the possibility that we get a head? Only based on possible outcomes we can answer this question. It is that part of events which deals with the results of random events. We can basically call it as prediction of any event that is based on study of previous record or the type and no of possible outcome.

Probability of happening of an event= Total no of favorable outcomes/                          Total no of outcomes

Here in this question;

P(male/fail)= P(male and fail)/P(fail)

                 = \(\frac{8/123}{(8+16)/123}\)

                 =\(\frac{8}{24} = \frac{1}{3} = 0.33\)

P(male) = \(\frac{33+8}{123} = \frac{41}{123} =\frac{1}{3} = 0.33\)

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The calculated number of units the function f(x, y, z) = √(x² + y² + z²) will move is 0.091

From the question, we have the following parameters that can be used in our computation:

f(x, y, z) = √(x² + y² + z²)

Differentiate the above function with respect to x, y and z

So, we have

f'(x, y, z) = (x/√(x² + y² + z²), y/√(x² + y² + z²), z/√(x² + y² + z²))

From the question, we have

Po(4, 4, 12)

This means that

f'(4, 4, 12) = (4/√(4² + 4² + 12²), 4/√(4² + 4² + 12²), 12/√(4² + 4² + 12²))

So, we have

f'(4, 4, 12) = (0.302, 0.302, 0.904)

The direction of the vector is given as

3i + 6j - 2k

And the distance is 0.1

Using the above as a guide, we have the following:

Number of units, d = 0.302 * 3 * 0.1 + 0.302 * 6 * 0.1 + 0.904 * -2 * 0.1

Evaluate the sum of products

Number of units, d = 0.091

Hence, the number of units the function will move is 0.091

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Two right triangles are said to be congruent if their corresponding sides and angles have the same length. In the example in fig. 1 below, ABC equals FHG since A = F, C = G, and B = H.

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Using it's concept, the probability that a randomly selected boy attended the dance is:

7/9.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

From the table, we have that:

Hence the probability that a randomly selected boy attended the dance is given as follows:

p = 49/63 = 7/9.

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Answer:

B

Step-by-step explanation:

You need to shift the graph of cos  UP >1   or DOWN > 1  to get no x -axis intercepts  so  answer B  depicts the value of c

\(\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies SA=4\pi (4)^2\implies SA\approx 201.1~in^2 \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies V=\cfrac{4\pi (4)^3}{3}\implies V\approx 268.1~in^3\)

Answer: (x+6)(x-3)

Step-by-step explanation:

y=x^2+3x-18

(x+6)(x-3 )

Step-by-step explanation:

X-intercept, y = 0

0 = -x² + 10x - 25

-x² + 10x - 25 = 0

-(x² - 10x + 25) = 0

x² - 10x + 25 = 0

(x - 5)(x - 5) = 0

x = 5

(5,0)

I am pretty sure it is B. Sorry if I am wrong

Answer:

y=2/7x

Step-by-step explanation:

trust me pls

Hence, the arrangements to the quadratic equation  (3x-1)(x-2) = 5x + 2 are x = and x = 4.

To unravel the quadratic equation  (3x-1)(x-2) = 5x + 2, let's to begin with grow the cleared out side of the equation:

(3x - 1)(x - 2) = 5x + 2

Growing the condition:

3x^2 - 6x - x + 2 = 5x + 2

Streamlining the condition:

3x^2 - 7x + 2 = 5x + 2

Another, let's move all terms to one side of the condition:

3x^2 - 7x - 5x + 2 - 2 =

Combining like terms:

3x^2 - 12x =

Presently, we have a quadratic condition in standard shape: ax^2 + bx + c = 0, where a = 3, b = -12, and c = 0.

To fathom the quadratic equation, able to calculate out the common calculate of x:

x(3x - 12) =

From this equation, we are able see that the esteem of x can be or unravel for 3x - 12 = 0:

3x - 12 =

Including 12 to both sides:

3x = 12

Isolating both sides by 3:

x = 4

Hence, the arrangements to the condition (3x-1)(x-2) = 5x + 2 are x = and x = 4.

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The guests in the birthday party ate 33 cookies.

We know that Mrs. Smith made 6 1/4 dozen cookies and there were 3 1/2 dozen cookies left.

Let's first convert these fractions to a common denominator of 4, so we can easily subtract them.

6 1/4 dozen = 25/4 dozen

3 1/2 dozen = 14/4 dozen

Now we can subtract the number of cookies that were left from the number of cookies that were made:

25/4 - 14/4 = 11/4 dozen

To find out how many cookies this represents, we need to multiply by the number of cookies in one dozen.

There are 12 cookies in one dozen, so:

11/4 x 12 = 33

Therefore, the guests ate 33 cookies.

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Answer:

Second answer choice

Step-by-step explanation:

Answer:

c=200+0.4Yd find determine equlibirum level investment is =400

Answer:im pretty sure its D

Step-by-step explanation:it goes through the origin

Answer:

66.0°

Step-by-step explanation:

The sum of the measures of the interior angles in a triangle is 180°.

Let "x" represent the measure of the third interior angle. We can use this to set up an equation:

84.0° + 30.0° + x = 180°

Add like terms:

114.0° + x = 180°

Subtract 114.0° from both sides:

x = 66°

The question asks for the answer to be in degrees to one decimal place, therefore:

x=66.0°