Match the correct units for the answer of each formula.

The principal will need to order 108 pizzas to feed 300 students.

We may set up a proportion to determine how many pizzas are required to feed 300 students if 9 pizzas feed 25 students:

25 pupils × 9 pizzas = x pizzas / 300 students

where x is how many pizzas are required to feed 300 kids.

We can cross-multiply and simplify to find x's value:

300 kids times 9 pizzas equals 25 students (x pizzas)

2700 = 25x

x = 2700 / 25

x = 108

In order to serve 300 pupils, the principal will have to order 108 pizzas.

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Answer:

58

Step-by-step explanation:

9x + 22                        x = 4

9(4) + 22

36 + 22

58

Answer: We can start by using the formula for calculating commission:

Commission = Rate x Sales

where Rate is the commission rate and Sales is the amount of sales.

In this case, we know the commission earned ($4008) and the commission rate (6%), but we don't know the amount of sales. We can set up an equation and solve for Sales:

$4008 = 0.06 x Sales

Dividing both sides by 0.06, we get:

Sales = $4008 ÷ 0.06 = $66,800

Therefore, the salesperson sold $66,800 worth of video equipment.

Step-by-step explanation:

The correct answer is:

Major Axis Endpoints: (6, -3) and (-2, -3)

Minor Axis Endpoints: (2, 3) and (2, -9).

The major axis of a graph is the line that divides it in two equal parts. It is also known as the x-axis or the y-axis and it is the axis that is perpendicular to both the x and y axes. The major axis is an important part of the graph because it is used to plot the points on the graph. The points on the graph are plotted in relation to the major axis, allowing for easier interpretation of the graph.

The endpoints of the major axis of an ellipse are the points on the ellipse which are farthest away from each other. These points are located on the longest diameter of the ellipse and are the points at which the ellipse changes directions. Similarly, the endpoints of the minor axis of an ellipse are the points on the ellipse which are closest to each other.

In the equation (x−2)212+(y+3)236=1, the equation describes an ellipse which has its center located at the point (2, -3). The major axis of this ellipse has endpoints located at the points (6, -3) and (-2, -3). The minor axis of this ellipse has endpoints located at the points (2, 3) and (2, -9). Therefore, the correct answer for the table is as follows:

Major Axis Endpoints: (6, -3) and (-2, -3)

Minor Axis Endpoints: (2, 3) and (2, -9)

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The result is not reasonably close to the value of 3/4 i.e. 0.75.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

The probability of getting a green pea can be estimated by dividing the number of green peas by the total number of peas:

probability of green pea = number of green peas / total number of peas

In this case, the number of green peas is 439 and the total number of peas is the sum of the green and yellow peas, which is:

total number of peas = number of green peas + number of yellow peas

= 439 + 30 = 469

Therefore, the probability of getting a green pea is:

probability of green pea = 439 / 469 ≈ 0.935 or 93.5%

So, the estimated probability of getting an offspring pea that is green is approximately 93.5%.

The result is not reasonably close to the value of 3/4 i.e. 0.75.

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Answer:

50 % possibility or 1/2 chance

Step-by-step explanation:

2, 4, 6, 8, 10, 12, and 14 are all even and there are seven of them

Therefore, the area of triangle XYZ is (1/2)bh = (1/2)(15)(15√3) = 225√3. Therefore, the area of triangle XYZ is 225√3.

Triangle is a three-sided polygon that has three angles and three sides. It is one of the basic shapes in geometry and is a very important concept in mathematics. It is also used in various fields, such as physics and engineering. Triangles can be classified into different types, such as right triangles, isosceles triangles, acute triangles, obtuse triangles, and equilateral triangles. Triangles are also used to form polygons, such as quadrilaterals, pentagons, and hexagons.

To find the area of triangle XYZ, we must first calculate the length of each side of triangle XYZ. The length of each side can be determined by multiplying the length of each side of triangle ABC by five.

Since all three sides of triangle ABC are equal in length, then each side of triangle XYZ will be 5 times the length of triangle ABC. Therefore, the length of each side of triangle XYZ is 5 times the side length of triangle ABC, or 15.

The area of the triangle can be calculated using the Triangle Area formula, A = (1/2)bh, where b is the base of the triangle and h is the height of the triangle. Since we know the length of each side of triangle XYZ, we can use these values to calculate the base and height of the triangle. The base of the triangle is 15, and the height of the triangle is 15√3.

Therefore, the area of triangle XYZ is (1/2)bh = (1/2)(15)(15√3) = 225√3. Therefore, the area of triangle XYZ is 225√3.

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The monthly payment for a 30-year mortgage in this scenario is $1,713.78.

What are Percentages?

Percentages are a way of expressing a proportion or ratio in terms of a fraction of 100.

To solve this problem, we can use the formula for calculating the monthly payment for a mortgage:

[tex]M = P[r(1+r)^n/((1+r)^n)-1][/tex]

where M is the monthly payment, P is the principal (the amount borrowed), r is the monthly interest rate, and n is the number of monthly payments (the term of the loan in months).

First, we need to calculate the down payment, which is 10% of the purchase price:

Down payment = 0.1 x $340,000 = $34,000

The principal is the purchase price minus the down payment:

Principal = $340,000 - $34,000 = $306,000

Next, we need to calculate the monthly interest rate. The annual interest rate is 5.3%, so the monthly interest rate is:

r = 0.053/12 = 0.00441667

Finally, we need to calculate the number of monthly payments. A 30-year mortgage has 360 monthly payments (30 years x 12 months per year).

n = 360

Now we can plug in these values into the formula and solve for M:

[tex]M = \$306,000[0.00441667(1+0.00441667)^360/((1+0.00441667)^360)-1][/tex]

M = $1,713.78

Therefore, the monthly payment for a 30-year mortgage in this scenario is $1,713.78.

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Therefore, sets (2), (3), and (4) can be used to build a triangle, while set (1) cannot.

Any two sides must add up to more than the third side's length in order to form a triangle. Let's use this principle to compare each pair of side lengths:

5 + 3 = 8 + 10 cm, 3 cm, and 5 cm.

3 + 10 = 13 > 5

5 + 10 = 15 > 3

As the total of the lengths of the two shorter sides is not larger than the length of the longest side, a triangle cannot be constructed with this set of side lengths.

3 measurements: 4 cm, 12 cm, and 9 cm 4 + 12 = 16 > 9 4 + 9 = 13 > 12\s12 + 9 = 21 > 4

Given that the total of any two sides is more than the length of the third side, a triangle can be constructed using this set of side lengths.

3, 2, and 5 centimetres

5 + 2 = 7 > 4

2 + 4 = 6 > 5

5 + 4 = 9 > 2

Given that the total of any two sides is more than the length of the third side, a triangle can be constructed using this set of side lengths.

3, 5, and 8 centimetres

3 + 5 = 8 > 8

3 + 8 = 11 > 5

5 + 8 = 13 > 3

Due to the fact that the sum of any two side lengths is bigger, a triangle can be constructed with this combination of side lengths.

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Answer:

170 cm³

Step-by-step explanation:

V = πr²h

= 3.14 * (3)² * 6

= 3.14 * 9 * 6

= 169.56 cm³

= 170 cm³

Answer:

Sophia's paint is lighter.

Step-by-step explanation:

percent = part/whole × 100%

Sophia:

3 cups black, 4 cups white

total: 7 cups

white percent = 4/7 × 100% = 57%

Jeriel:

9 cups black, 10 cups white

total: 19 cups

white percent = 10/19 × 100% = 53%

Sophia's paint is lighter.

Answer:

A. 0.34

Step-by-step explanation:

  1.7

x 0.2

_____

   .14

+ .20

______

.34

We can state this by responding to the provided question As a result, the function's amplitude is 2 and its period is.

Mathematicians research numbers, their variants, equations, associated structures, forms, and possible configurations of these. The word "function" describes the connection between a group of inputs, each of which has a corresponding output. A function is a connection between inputs and outputs where each input results in a single, distinct outcome. Each function has a domain, codomain, or scope assigned to it. Functions are usually denoted by the letter f. (x). An x is entered. On functions, one-to-one capabilities, so multiple capabilities, in capabilities, and on functions are the four main categories of accessible functions.

The sine function of the form f(x) = -2sin(x) is an amplitude-scaled sine function.

The sine function's amplitude is represented by the coefficient, which in this example is -2. Hence, the function's amplitude is 2.

The equation T = 2/, where is the angular frequency, yields the period of the function. The angular frequency of a sine function is given by = 2/T.

With the function f(x) = -2sin(x) substituted, we get:

ω = 2π/T

Sin(x + ) = -2sin(x)

To solve for T, we obtain:

T = 2π/ω = 2π/(-2) = -π

We use T's absolute value as the period cannot be negative, making the function's period T =.

As a result, the function's amplitude is 2 and its period is.

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The mean of the sampling distribution is 606060 and the standard deviation is 871.78.

As long as the sample size is sufficient (usually, n 30), the central limit theorem implies that if we repeatedly take random samples from a population, the sampling distribution of the sample means will resemble a normal distribution, regardless of the form of the population distribution. This indicates that given the sample mean and standard deviation, we may utilise the normal distribution to draw conclusions about the population mean. Because it enables us to estimate population parameters even when we don't know the population distribution, the central limit theorem is significant.

Given that,

n = 757575

p = 80% = 0.8

q = 1 - 0.8 = 0.2

The mean of the binomial distribution is given as:

Mean: μ = np = (757575)(0.8) = 606060

The standard deviation of the binomial distribution is given as:

σ = √(npq) = √((757575)(0.8)(0.2)) = 871.78

Hence, the mean of the sampling distribution is 606060 and the standard deviation is 871.78.

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The number of large pieces of fabric that Lola should buy to be able to make 7 scarves is 7 larger pieces of fabric.

The number of small fabrics needed for one scarf is 8 pieces. The area of these pieces is:

= 8 pieces x ( 1 / 4 x 1 / 4 )

= 0. 5 foot ²

This means that 1 scarf needs 0. 5 foot ² of fabric.

The area of a single large piece of fabric is :

= 1 / 4 x 2

= 0. 5 foot ²

This means that 1 large piece can make 1 scarf. If 7 scarves need to be made therefore, then Lola needs 7 large pieces.

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The probability of getting sum of 6 is C)5/36.

What is probability?

Probability is a way of calculating how likely something is to happen. It is difficult to provide a complete prediction for many events. Using it, we can only forecast the probability, or likelihood, of an event occurring. The probability might be between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty.

We know that,

Probability of event = number of favorable outcome/ Total outcome

When a 6 sided dice die twice then

Total number of outcome = 6*6=36

Favorable outcome is a sum of 6, Ways of obtaining a sum of 6

(1,5), (5,1), (2,4),(4,2) and (3,3). Thus, there are 5 ways in which 6 can be obtained using  rolling dice twice, Then

=> P(sum of 6 )=5/36

Hence the correct option is C)5/36.

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keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{4}x-1\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so we're really looking fo the equation of a line whose slope is 4 and it passes through (-3 , 2)

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y -2= 4 (x +3) \\\\\\ y-2=4x+12\implies {\Large \begin{array}{llll} y=4x+14 \end{array}}[/tex]

Answer:

Elizabeth

Step-by-step explanation:

Her answer shows the ratio of 6:24- lemonade to punch.

Answer: the second one

Step-by-step explanation:

0.2; for each additional day after the kitten is born, its weight is predicted to increase by 0.2 ounces.

The average speed for the second part of the journey is 100 kilometer per hour.

Average Speed is the ratio of the total distance travelled to the total time taken to travel the distance.

Given that,

Distance travelled by motorist in first part = 90 km

Time taken to travel the distance = 1 1/2 hour = 1.5 hours

Distance travelled in second part of the journey = 50 km

Time taken to travel the distance = 1/2 hour = 0.5 hour

Average speed = Distance / Time

                          = 50 / (1/2)

                          = 100 km/h

Hence the average speed is 100 kilometer per hour.

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Answer:

Step-by-step explanation:

a. Variables:

D0 = Demand for nurses in 2000 = 2,000,000

S0 = Supply of nurses in 2000 = 1,890,000

D2020 = Projected demand for nurses in 2020 = 2,810,414

S2020 = Projected supply of nurses in 2020 = 2,001,998

Equations:

For 2000: D0 = S0

For 2020: D2020 = S2020

b. Using substitution, we can set the two equations equal to each other:

D0 = S0

2,000,000 = 1,890,000 + m(S0 - 1,890,000) (where m is the rate of increase in supply)

m = 0.063

Now we can use this value of m to find out during which year the supply of nurses was equal to the demand:

2,000,000 = 1,890,000 + 0.063(S - 1,890,000)

S = 2,013,008

Therefore, the supply of nurses was equal to the demand in the year 2013.

Answer:

river c is 2965 miles long while river d is 2565 miles long

Step-by-step explanation:

c+d=5530

400+d+d=5530

400+2d=5530

2d=5530-400

2d=5130 /:2

d=2565

c=d+400

c=2565+400

c=2965

Using compound interest, each payment should be $948.86, rounded to two decimal places.

The interest on savings that is computed on both the initial principal and the interest accrued over time is known as compound interest. Compound interest is computed by multiplying the starting principal amount by one and the annual interest rate raised to the number of compound periods minus one. The final step is to deduct the initial loan principal from the calculated value.

When the amount compounds quarterly, it means that the amount compounds 4 times in a year. i.e., n = 4. We use this fact to derive the quarterly compound interest formula. Thus, the quarterly compound interest formula is:

[tex]A = P (1 + r/4)^t[/tex]

To determine the size of each payment that needs to be made at the end of every 2 months, we can use the formula for the future value of an annuity:

[tex]FV = Pmt x [(1 + r)^{n - 1}] / r[/tex]

When we enter these values into the formula, we obtain:

In this instance, we know that the sinking fund's future value should be $61,000, the interest rate each 2-month period is 5.9%/6 = 0.983%, and there are a total of 54 periods (9 years x 12 months/year / 2 months/period = 54 periods) in the sinking fund's life.

[tex]$61,000 = Pmt x [(1 + 0.00983)^{54 - 1}] / 0.00983[/tex]

Solving for Pmt, we get:

[tex]Pmt = $61,000 x 0.00983 / [(1 + 0.00983)^{54 - 1}][/tex]

= $61,000 x 0.00983 / 0.6346

= $948.86

Therefore, each payment should be $948.86, rounded to two decimal places.

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Answer:

Below

Step-by-step explanation:

.385 liters =  385 milliliters  

   SIX of these would be   385 ml * 6 = 2310 ml

Mrs. Tempio can squirt 4 times as far as Zacarias can, therefore if Zacarias can only squirt 20 metres, Mrs. Tempio can squirt 4 * 20 = 80 metres.

Let's break down the issue to see why. We are aware of Zacarias' 20-meter squirt distance as well as Mrs. Tempio's 4-times-greater squirt distance. Thus, if we write up the following equation and assume that x is the that Mrs. Tempio may squirt:

x = 4 * 20

When we simplify this equation, we obtain:

x = 80

Mrs. Tempio can squirt 80 metres as a result.

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