There are 15 students on the debate team. Of these, 3 are boys. Give the ratio of boys to girls on the debate team. Give your answer in simplest form, type your answer as a fraction example 1/2 Numerator/Denominator.

Answer:

(1,-1)

Step-by-step explanation:

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Answer:

i think its B

Step-by-step explanation:

Answer:

Step-by-step explanation:

If cakes of 4 small and 4 large tiers serve 288 guests, and 3 small and 5 large tiers serve 316 guests, you want to know the number of guests served by a tier of each size.

Let 's' and 'l' represent the numbers of guests served by small and large cake tiers, respectively. The first cake serves ...

  4s +4l = 288

And the second cake serves ...

  3s +5l = 316

Subtracting 3/4 of the first equation from the second gives ...

  (3x +5l) -3/4(4s +4l) = (316) -3/4(288)

  2l = 100

  l = 50

  4s +4(50) = 288 . . . substitute for l in the first equation

  4s = 88 . . . . . . . . . . subtract 200

  s = 22 . . . . . . . divide by 4

A small tier will serve 22 guests; a large tier will serve 50 guests.

The area of the figure is equal to 400+32pi \(in^{2}\).

What is a semi-circle?

A semicircle is a half circle created by splitting a circle into two equal parts. It is created when a line pierces the circle's center and touches its two ends.

The given figure consists of a rectangle and a semicircle.

We will individually find the area of the rectangle and the semi-circle and we will at those two to get the area of the given figure.

The length of the sides of the rectangle is 25 inches and 16 inches.

The area of the rectangle is the product of length and width which is equal to 400.

The diameter of the semi-circle is equal to 16 in, so the radius of the semi-circle is equal to 8 in.

The area of the semi-circle is equal to \(\frac{\pi r^{2} }{2} =\frac{\pi 64}{2} =32\pi\).

The total area is equal to 400+32pi \(in^{2}\).

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Answer:

-1.5

Step-by-step explanation:

a geometric sequence goes from One term the next by multiplying or dividing.

As a result, the experimental probability of landing on heads is 48%, probability which means that we should expect heads approximately 48 times out of 100 coin flips.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.

The following formula can be used to calculate the relative frequency or experimental probability of landing on heads:

Number of Heads / Total Number of Flips = Experimental Probability of Heads

The number of heads in this case is 48, and the total number of flips is 100. Therefore,

Heads Experimental Probability = 48 / 100 = 0.48

We can multiply this by 100 to get a percentage:

Heads Experimental Probability = 0.48 * 100 = 48%

As a result, the experimental probability of landing on heads is 48%, which means that we should expect heads approximately 48 times out of 100 coin flips.

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Answer:

The average cost is 4400

Step-by-step explanation:

c=800+40x

where x=number of items

c=800+4x;when x=90

c=800+40(90)

c=800+3600

c=4400

Answer:

4400

Step-by-step explanation:

Answer:

The answer are

B and C

Step-by-step explanation:

r=d/2=12/2=6

r=16/2=8

Circumference=2pir

C=2×6pi

C=12pi

C=2pir

C=2×8pi

C=16pi

Answer:

A:150

B: 360 if all before are wrong

Answer:

A 150

Step-by-step explanation:

B- 360 if all before are wrong

The required probability that she works on Shift 2 is 3/8. Option C is correct.

The table below gives the number of men and women who work on the three shifts at Factory X. Each worker at the factory work on exactly one of the shifts. A worker is to be chosen at random from the factory. If the worker chosen is a woman, what is the probability that she works on Shift2 is to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

The total number of women working in all the 3 shifts = 560
number of women working in shift 2 = 210
probability of women chosen to work in shift 2 = 210/560
                                                                    = 3/8

Thus, the required probability that she works on Shift 2 is 3/8. Option C is correct.

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Answer:

Step-by-step explanation:

Let's call the present value of the loan P. The payments of $1,550 in 1 year and $2,400 in 4 years can be expressed as an ordinary annuity with semi-annual payments. We can calculate the present value of this annuity using the formula:

PV = A * (1 - (1 + r)^-n) / r

where

A = $1,550 / 2 = $775 (semi-annual payment)

n = (4 x 2) + 2 = 10 (number of semi-annual periods)

r = 0.045 / 2 = 0.0225 (semi-annual interest rate)

So,

PV = $775 * (1 - (1 + 0.0225)^-10) / 0.0225 = $8,100.40

Thus, the present value of the loan is P = $8,100.40.

Next, we can calculate the present value of the payment of $1,050 in 24 months and the balance in 30 months.

The payment of $1,050 in 24 months can be expressed as a single amount due in 24 months. The present value of this payment can be calculated as:

PV = $1,050 / (1 + 0.0225)^(24/2) = $1,000.54

So, the balance of the loan after this payment would be P - $1,000.54 = $8,099.86.

The balance in 30 months can be expressed as an ordinary annuity due with semi-annual payments. We can calculate the present value of this annuity using the formula:

PV = A * (1 - (1 + r)^-n) / r

where

A = ($8,099.86) / 6 = $1,349.98 (semi-annual payment)

n = 6 (number of semi-annual periods)

r = 0.0225 (semi-annual interest rate)

So,

PV = $1,349.98 * (1 - (1 + 0.0225)^-6) / 0.0225 = $7,999.86

Therefore, the payment required in 30 months for the rescheduled option to settle the loan is $1,349.98 per semi-annual period.

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Answer:

Step-by-step explanation:

your answer if 4

For the given triangle the statement that is true for length x is -

x < 9

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

The length of 1 side is = 5 units

The length of second side is = 4 units

A key geometrical concept that connects the lengths of a triangle's sides is the triangle inequality theorem.

It stipulates that the length of the remaining side must be greater than the sum of the lengths of any two sides of a triangle.

The triangle inequality theorem can be written out as follows if a, b, and c are the lengths of a triangle's sides:

b + c > a

a + c > b

b + a > c

Since the sum for the given triangle is 5 + 4 = 9

So, the third side must be less than 9.

Therefore, the inequality is x < 9.

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The required function in option (D) shows a fabric with a price of $1.25 per square yard. which is the correct answer would be an option (D).

We know that, Slope = Rise/Run  

Slope = (y₂ - y₁) / ( x₂ - x₁)

As per the given question, we have to evaluate the slope.

The slope of Table A) will be:

$2.00 - $1.25 = 0.75 | 2 - 1 = 1 So 0.75/1 = 0.75

The slope of Table B) will be:

($1.25 - $0.25)/(2 - 1) = $0.25/1 = 0.25

The slope of Graph C) will be:

On a graph rise/run = 4/5 =0.8

The slope of Graph D) will be:

On a graph rise/run = 5/4= 1.25  

Thus, the required function in option (D) shows a fabric with a price of $1.25 per square yard.

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Answer:

can i see a ss of the question?

Step-by-step explanation:

After blue jays drank 6.19 ounces of water there will be 65.81 ounces of water.

What are decimals ?

Decimals are represented by a point or by a dot it separates the whole part and the fractional part of a number.

in the given question we have to subtract 6.19 ounces of water from 72 ounces of water.

72 can be written a 72.00 now subtraction 6.19 from it we have placed a decimal point and two zeroes after 72 for right calculation.

   (72.00 - 6.19)  = 65.81 ounces that remains.

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Answer:

it will compare unit to some quanlity to a different number of units of a different queality.

Step-by-step explanation:

a/b=c/d proportions are two fractions that are equal example: 1/2=2/4

Answer:

Shirt + tie = $ 58

shirth = 30 more than that of tie

let the price of tie be X

therefore the price of shirt = 30 + X

30 + X + X = 58

30 + 2x = 58

2x = 58 - 30

2x= 28

x = 14

x + 30

= 14 + 30

\(Area = 72\\Base = 6\\Area = base \cdot height\\72 = 6height\\height = \frac{72}{6}\\height = 12\)

A kilogram of strawberry taffy costs $4, and a kilogram of banana taffy costs $7.

Let us assume

the price of 1 kg strawberry taffy  = $x

And the price of 1kg banana taffy = $y

Then according to given information

the expression for Jon be,

4x + y = 23  ....(i)

the expression for Charlotte be,

5x + 2y = 34 ...(ii)

Now use elimination method

2x(i) - (ii) we get,

3x = 12

 x = 4

Plug it into (i) we get

y = 7

Hence, costs are:

1 kg strawberry taffy  = $4

1kg banana taffy = $7

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The values nearest to these middle elements are 60 and 63 inches.

The dataset is given as:

62 33 50 90 80 50 40 70 50 63 74 53 55 64 60 60 78 70 43 82

Then, we sort the information elements in ascending request

33 40 43 50 50 50 53 55 60 60 62 63 64 70 70 74 78 80 82 90

The length of the dataset is 20.

Thus, the elements at the middle are the tenth and the 11 elements.

From the arranged dataset, these elements are: 60 and 62

Thus, the values nearest to this median are 60 and 63

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The coefficients of the non-trivial linear relation are -3, 3, 0, and 0.

To determine whether the four vectors are linearly independent or linearly dependent, we can form a matrix with the vectors as columns and perform row operations to reduce it to row echelon form. If the resulting matrix has a row of zeros except for the last entry, which is non-zero, then the vectors are linearly dependent. If the resulting matrix has only zero rows, then the vectors are linearly independent.

| -27 3 3 -3 |

| 16 -3 -2 1 |

| 23 -4 -2 3 |

| -20 -2 2 -4 |

After row operations, we get:

| 1 3 0 0 |

| 0 0 1 0 |

| 0 0 0 1 |

| 0 0 0 0 |

Since the last row is all zeros except for the last entry, which is non-zero, the vectors are linearly dependent. A non-trivial linear relation is:

⇒-3(1st vector) + 3(2nd vector) + 0(3rd vector) + 0(4th vector) = 0

So, the coefficients of the non-trivial linear relation are -3, 3, 0, and 0.

Therefore,  the coefficients of the non-trivial linear relation are -3, 3, 0, and 0.

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The amount of fewer euros he would receive as a result of the delay is 20 E.

The percentage loss that was caused by the delay is -4%.

Exchange rate is the rate at which one unit of a currency can buy another currency. In this question, the value of Euros appreciated by Monday. This is because $1 buys less Euros on Mondays. On the hand, dollars depreciates in value.

Amount of fewer Euros received = value of euros if it were exchanged on Friday - value of euros if it was exchanged on Monday

Value of euros if it were exchanged on Friday = 1.25 x 400 = 500 E

Value of euros if it was exchanged on Monday = 1.20 x 400 = 480 E

Difference = 500 E - 480 E = 20 E

Percentage loss = (Euros received on Monday / Euros that would have been received on Friday) - 1

Percentage loss = (480 / 500) - 1 = -0.04 = -4%

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Answer:

5 seconds per foot

Step-by-step explanation:

Answer:A

Step-by-step explanation:

Michelle's balance after two years would be $8977.50.

using the formula to find Michelle’s balance after two years:

balance = principal + (interest rate * principal * time)

where:

- principal = the initial deposit of $8750

- interest rate = 1.3% = 0.013 (as a decimal)

- time = 2 years

Substituting the values, we get:

balance = 8750 + (0.013 * 8750 * 2)

balance = 8750 + 227.5

balance = $8977.50

Therefore, Michelle's balance after two years will be $8977.50.

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Answer:

The answer would be 9:29

Step-by-step explanation:

7:30 and add 46 min would be 8:16

8:16 and 20 min would be 8:36

8:36 and 53 min would be 9:29

3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.

4. The cake takes up approximately 7317 cubic inches of space.

5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.

1. The units for Volume are always cubed.

2. Volume is the amount of space an object takes up. True.

3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:

V = 3.14 * (4.5)^2 * 32

V = 3.14 * 20.25 * 32

V ≈ 2034.72 cubic inches

4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.

Tier 1:

V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches

Tier 2:

V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches

Tier 3:

V3 = 3.14 * (5)^2 * 10 = 785 cubic inches

Total volume:

Total V = V1 + V2 + V3

Total V = 4521.6 + 2010.4 + 785

Total V ≈ 7317 cubic inches

5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:

V = (1/3) * 3.14 * (24)^2 * 12

V = (1/3) * 3.14 * 576 * 12

V ≈ 7234.08 cubic centimeters

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The speed of the fire is 3.214 miles per hour (rounded to three decimal places)

It is defined as the distance traveled by an object per unit of time, typically in meters per second (m/s) or kilometers per hour (km/h).

Speed can be calculated by dividing the distance traveled by the time taken to cover that distance. It is a scalar quantity, meaning it only has magnitude and no direction.

Let's call the horizontal distance the fire advanced during the 6 minutes "d." We can use the tangent function to find d:

tan(12.3°) = (3334 - h) / d

tan(10.5°) = (3334 - h) / d

Solving for d in each equation, we get:

d = (3334 - h) / tan(12.3°)

d = (3334 - h) / tan(10.5°)

Since the time interval is the same for both observations, the fire advanced a distance equal to the difference between the two distances:

d = [(3334 - h) / tan(12.3°)] - [(3334 - h) / tan(10.5°)]

Plugging in the values and simplifying:

d = 1698.5 feet (rounded to the nearest tenth)

To find the speed at which the fire is spreading towards the ranger, we need to convert the distance from feet to miles, and the time from minutes to hours:

d = 1698.5 feet / 5280 feet per mile = 0.3214 miles

t = 6 minutes / 60 minutes per hour = 0.1 hours

The speed of the fire is then:

s = d / t = 0.3214 miles / 0.1 hours = 3.214 miles per hour (rounded to three decimal places)

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Answer:

1) 35 + 5 = 40

2) 15 + -5 = 10

3) 10 + -25 = -15

Step-by-step explanation:

Hope this helps

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