There are 30 female performers in a dance recital. The ratio of men to women is 4:5. How many men are in the dance recital?

Answer:

c 57

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Take 1/2 off of the 31 1/12 to make it easier. That gives you 31 and 4. Then take one away from both numbers to get to 30 and 3. 30 minus 3 is 27.

Answer:

07(-x)-7(3)

Step-by-step explanation:

7(-x-3)

-7x-21

07(-x)-7(3)

-7x-21

Answer:

9

Step-by-step explanation:

Given that ,

This is the case of direct proportion where , when quantity increases , the other also increases. Here we can use unitary method.

=> 8 people can sit on 1 table

=> 1 person can sit of 1/8

=> 72 people can sit on 1/8 * 72 = 9 tables

The solution to the equation 1/2 - x + 3/2 = x - 4 is x = 3.

We have Equation 1/2 - x + 3/2 = x - 4

Now, solving the equation for x we get

/2 - x + 3/2 = x - 4

First, let's combine the like terms on both sides of the equation:

(1/2 + 3/2) - x = x - 4

4/2 - x = x - 4

2 - x = x - 4

Next, let's move the term with x to the left side by adding x to both sides:

2 - x + x = x - 4 + x

2 = 2x - 4

Then, let's move the constant term -4 to the right side by adding 4 to both sides:

2 + 4 = 2x - 4 + 4

6 = 2x

6/2 = 2x/2

3 = x

Therefore, the solution to the equation is x = 3.

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Answer:

It is correct please I do not want yo sound rude can you give me brainliest answer.

Answer:

correct steps

Step-by-step explanation:

if asked to find angles in terms of the ratios, then don't forget to shift sin / cos / tan across the equal sign and change it to arc sin / cos / tan.

Answer:

Answer: There is 1 1/2 times more juice than ginger ale; there is 2/3 as much ginger ale as there is punch.

Step-by-step explanation:

Answer:

Answer A:

Step-by-step explanation:

2 parts ginger ale to 3 parts raspberry juice.

Step-by-step explanation:

27 * 3 = 81

81 * 3 = 243

Each term is 3x the number before it. Therefore:

3 * 3 = 9

The missing number is 9.

Answer:

The missing number would be 9.

Step-by-step explanation:

I found out that the rule is 3 multiplied.

3 times 3 = 9

9 times 3 = 27

27 times 3 = 81

81 times 3 = 243

The graph of the translated function is g ( x ) = ( x + 5 )² + 2

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x²

On simplifying , we get

The function is translated 5 units to the horizontal left direction:

And , when the function is translated 2 units in the vertical upward direction:

So , the translated function is

g ( x ) = ( x + 5 )² + 2

Now , the vertex of the function g ( x ) = ( x + 5 )² + 2 is (-5, 2)

Hence , the graph of the function is plotted and g ( x ) = ( x + 5 )² + 2

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Answer:

8,000,000 or 2,000,000

Step-by-step explanation:

For 8,000,000=

1st 50 years= 500,000+500,000= 1,000,000

2nd 50 years= 1,000,000+1,000,000= 2,000,000

3rd 50 years= 2,000,000+2,000,000= 4,000,000

4th 50 years= 4,000,000+4,000,000= 8,000,000

For 2,000,000=

200 years ÷ 50 years= 4

500,000×4= 2,000,000

I can't decide

Answer:

A. x = 4

Step-by-step explanation:

substituting 4 in place of x in f(x) and g(x)

f(x) = 1/x-3 + 1

= 1/4-3 + 1 = 2

g(x) = 2√x-3 = 2√4-3 = 2√1 = 2(1) = 2

Therefore, f(x) = g(x)

Answer:

Let's denote:

- The number of orders Diane served as `D`

- The number of orders Sam served as `S`

- The number of orders Boris served as `B`

From the problem, we know:

1. `D + S + B = 54` (the total number of orders they served)

2. `D = S - 6` (Diane served 6 fewer orders than Sam)

3. `B = 2S` (Boris served 2 times as many orders as Sam)

We can substitute equations 2 and 3 into equation 1 to solve for the variables:

Substitute `D` and `B` in equation 1:

`(S - 6) + S + 2S = 54`

Combine like terms:

`4S - 6 = 54`

Add 6 to both sides:

`4S = 60`

Divide by 4:

`S = 15`

Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:

`D = S - 6 = 15 - 6 = 9`

`B = 2S = 2 * 15 = 30`

So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.

Answer:

Step-by-step explanation:To calculate the savings percentage, we first need to find out the cost of the cardboard required for each box.

For the larger box:

Total Surface Area = 2 * (1926 + 1934.5 + 26*34.5) = 2 * (494 + 655.5 + 897) = 4093 cm²

Cost of cardboard for larger box = 0.502 * 4093 = 2055.986 cents = 20.55986 dollars (rounded to 5 decimal places)

For the smaller box:

Total Surface Area = 2 * (2517 + 2526 + 1726) + 6 * (25-21)* (17-2*1) = 3034 cm²

Note that the additional term in the equation is the surface area of the six sides of the lid and base of the box.

Cost of cardboard for smaller box = 0.502 * 3034 = 1522.268 cents = 15.22268 dollars (rounded to 5 decimal places)

The difference in cost between the larger and smaller boxes is:

20.55986 - 15.22268 = 5.33718 dollars (rounded to 5 decimal places)

The percentage savings can be calculated as follows:

Percentage savings = (difference in cost / cost of larger box) * 100%

= (5.33718 / 20.55986) * 100%

= 25.98%

Therefore, using the smaller box will result in a savings of approximately 26% on cardboard costs for Bathu Sneakers compared to using the normal larger box.

The calculated areas are the same for regular polygon and equal to 43.5 units squared.

The area of polygon is given by the formula:

A = (1/2)ap,

where A is the area, an is the apothem (the distance from the centre of the polygon to the midpoint of any side), and p is the polygon's perimeter, is the formula for calculating the area of a regular polygon.

The apothem of the equilateral triangle can be found using the formula:

a = s / (2 tan(π/n))

Substituting the value of s = 10 we have, and n = 3 side.

a = 10/ / (2 tan(π/3))

a ≈ 2.9 units

The perimeter of the triangle is given as:

p = 3 x 10 = 30 units

Now, the area of the triangle is given as:

A = (1/2)ap

A = (1/2)(2.9)(30) = 43.5 sq. units.

Hence, the calculated areas are the same and equal to 43.5 units squared.

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Answer:

Step-by-step explanation:

Bianca’s answer.

The apothem, rounded to the nearest tenth, is

✔ 2.9 units.

The perimeter of the equilateral triangle is

✔ 30 units.

Therefore, the area of the equilateral triangle is

✔ 1/2(2.9)(30) , or approximately 43.5 units2.

The calculated areas are

✔ the same, despite using different formulas

.

The probability that an MP3 player manufactured in Fort Meyers is defective is 0.37%.

To calculate the probability that an MP3 player is defective, we need to consider the manufacturing plants and their respective defect rates.

Given:

Plant at Memphis manufactures 50% of the MP3 players, and 1% of those manufactured at that plant are defective.

Plant at Fort Meyers manufactures 20% of the MP3 players, and 3% of those manufactured at that plant are defective.

No information is provided about the defect rate of the third plant.

To find the overall probability of an MP3 player being defective, we need to consider the probability of selecting a defective player from each plant and then weigh it by the probability of selecting a player from each plant.

Let's calculate the overall probability:

Probability of selecting a defective player from Memphis plant = 50% * 1% = 0.50% or 0.005 (since 50% is equivalent to 0.50 in decimal form)

Probability of selecting a defective player from Fort Meyers plant = 20% * 3% = 0.60% or 0.006 (since 20% is equivalent to 0.20 in decimal form)

To calculate the overall probability, we need to weigh these probabilities by the probability of selecting an MP3 player from each plant:

Probability of selecting from Memphis plant = 50% = 0.50 (decimal form)

Probability of selecting from Fort Meyers plant = 20% = 0.20 (decimal form)

Overall probability of selecting a defective MP3 player is given by:

Overall probability = (Probability from Memphis plant * Probability of selecting a defective player from Memphis) + (Probability from Fort Meyers plant * Probability of selecting a defective player from Fort Meyers)

Overall probability = (0.50 * 0.005) + (0.20 * 0.006) = 0.0025 + 0.0012 = 0.0037 or 0.37%

Therefore, the probability that an MP3 player, manufactured in Fort Meyers, is defective is 0.37%.

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Ali's strategy is essentially the same as Mary's strategy. Both strategies estimate the HST as 15% of the price. However, Mary's strategy involves taking half of 10% of the price.

Mary suggests estimating the HST in Ontario as finding 10% of the price, taking half of this answer and adding the two. Ali proposes finding 10% of the price, then 5% of the price and adding the two answers.

Their strategies differ in the way they approach finding the estimate, but both methods can be used to arrive at the same result.

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The HST in Ontario is 13%, which can be estimated using 15%. Mary tells Ali that it can be estimated as: find 10% of the price, take a half of this answer and add the two. Ali tells Mary that he thinks they should find 10% of the price, then 5% of the price and add the two answers. Compare their strategies.

According to the solving the lengths of right angle triangle using Pythagorean theorem x = 6, y = 3

A fundamental relationship in Euclidean geometry between a right triangle's three sides is known as the Pythagorean theorem or Pythagoras' theorem. According to this rule, the area of the square with the hypotenuse side is equal to the sum of the areas of the squares with the other two sides.

The following is one way to perform the calculation. It may not be the best way.

c = b/cos(α)

= 6

a = √c2 - b2

= √62 - 5.192

= √9.0639

= 3.01063

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Using the height and radius given, the surface area of the cylinder is 408.2m²

The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:

A = 2πrh + 2πr²

where:

In the given question, the data are;

Substituting the value into the formula

A = 2π(5 * 8) + 2π(5)²

A = 408.2m²

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Answer:

x°=38°

y°=22°

Step-by-step explanation:

The angle that lies between a tangent and a chord is equal to the angle subtended by the same chord in the alternate segment (see image below of example of this if this explanation's unclear). This means:

<UDC=<DAC

38°=x°

The circle contains a cyclic quadrilateral ABCD (a shape with four sides within a circle whose corners are all on the circle edge). Opposite angles in a cyclic quadrilateral total 180°, which means:

<ADC+<ABC=180°

60+<ABC=180°

<ABC=120°

Since DA is parallel to CB, <DAC and <ACB are alternate interior angles and therefore equal, which means <ACB=<DAC=x°=38°

The angles in a triangle always add to 180°. Considering triangle ABC, this means:

<CAB+<ABC+<ACB=180°

y°+120°+38°=180°

y°=180°-158°=22°

Answer:

The number of weeks required = 216 weeks

Step-by-step explanation:

Given that:

Margin of Error E = 200

Confidence interval = 95% = 0.95

Level of SIgnificance  = 1 - C.I

= 1 - 0.95

= 0.05

Standard deviation = 1500

The Critical value for Z :

\(Z_{\alpha/2} =Z_{0.05/2} \\ \\ = Z_{0.025} = 1.96\)

The number of weeks( i.e the sample size (n) ) required is :

\(n = (\dfrac{Z_{\alpha/2} \times \sigma}{E})^2\)

\(n = (\dfrac{1.96 \times 1500}{200})^2\)

\(n = (14.7)^2\)

n = 216.09

n ≅ 216 weeks

Answer: 5³- (2 at power 35 x 3 at power 36 x five at power 14) x (2 x 3 at power 4x 5 at power 19) .2 at power 4 (d in the picture)

Step-by-step explanation:

The answer is 2.52

I hope this helps you!

Answer:

Step-by-step explanation:

3.12 - 0.6 = 2.52

The given expression

√( |x| + 1)

makes sense for all real numbers.

Here we have the following expression:

√( |x| + 1)

And we want to see for which values the expression makes sense.

Remember that a square root can only be evaluated in positive numbers or 0, so we must have that:

|x| + 1 ≥ 0

And |x| is always positive, so the inequality is always true.

Then the expression makes sense for all real numbers.

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The solution of the corresponding system of linear equations is: (X1, X2, X3, X4) = (-9s, 10s, -4s, t).

The reduced row echelon form of the matrix is:

1 0 0 -9

0 1 0 10

0 0 1 -4

0 0 0 0

This tells us that the system of linear equations has the following solution:

X1 = -9X4

X2 = 10X4

X3 = -4X4

The system is dependent, so we assign the free variables the parameters s and t:

X1 = -9s

X2 = 10s

X3 = -4s

X4 = t

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The smallest to the largest side is SQ, RS, QR, the correct option is B.

A triangle is a polygon with three sides, angles, and vertices.

The triangle is classified into various types on the basis of the angle and on the basis of the equality of the length of the sides, as obtuse, acute and right-angled triangle and scalene, isosceles and equilateral triangle.

The measure of angle of the triangle is 56°, 83°, and 41°.

From the property of the triangle, the side opposite the bigger measure angle is the largest.

The measure of angle QRS is 41°, angle RQS is 56°, and angle QSR is 83°.

The smallest side will be the side opposite to QRS, i.e. SQ,

The largest side will be the side opposite to QSR, i.e. QR

The side in order from the smallest to the largest, SQ, RS, QR.

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To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

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To translate a shape, all of its vertices must be moved in the same direction and by the same amount. The responses to the five sections of the question are as follows:

Coordinates are used to identify the position of an object on a two-dimensional grid or in three-dimensional space. They are usually written as pairs of numbers, separated by a comma.

1. We must deduct 2 from all of the y-coordinates of the vertices of the parallelogram ABCD in order to translate it two units down. Let's assume that the vertices' initial coordinates are A(a,b), B(c,d), C(e,f), and D. (g,h). The vertices will then have the new coordinates A'(a,b-2), B'(c,d-2), C'(e,f-2), and D' (g,h-2). To obtain the translated parallelogram, plot these new vertex points.

2. To move the rhombus EFGH 2 units to the left and 4 units down, we must deduct 2 from all of its vertices' x-coordinates and 4 from all of its y-coordinates. Let's assume that the vertices' initial coordinates are E(a,b), F(c,d), G(e,f), and H. (g,h). The vertices will then have the new coordinates E'(a-2,b-4), F'(c-2,d-4), G'(e-2,f-4), and H' (g-2,h-4). To obtain the translated rhombus, plot these additional vertices.

3. If we want to translate a square with coordinates L(-5,5), M(-5,5), N(5,5), and O(5,5) 3 units to the right and 2 units up, we must add 3 to all of its x-coordinates and subtract 2 from all of its y-coordinates. The vertices' new coordinates are L'(-2,-7), M'(-2,3), N'(8,3), and O' (8,-7). To obtain the translated square, plot these new vertex points.

4. The new coordinates of triangle XYZ after translating 4 units down will be X' (2,-3), Y' (4,1) and Z' (5,-2). This is happening because when a triangle is translated 4 units down, the y-coordinate of each vertex is decreased by 4 units, while the x-coordinate remains the same.

5. I (4,-2) P (-4,-2) G (5,2) Q (6,-4) R (-2,2)

S (6,4) J (1,-1) U (-5,0) H (3,-1) K (-6,-5)

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