Ms. Lincoln has a bucket full of pencils that she would like to divide up equally to her 28 students. If each student got 3 pencils, how many did she start with

Answer:

24a + 16g

Step-by-step explanation:

So the answer is 24a + 16g because you cant add variables together. When you multiply this because it is distibutive property you get that answer.

And also for extra proof,

Once you get the 6 you distributively divide to the power of the 92nd declaring independence for all turds stuck in your stomach.  

[(5-4)+1]*12

[1+1]*12

2*12

24

:D Hope this helps! (for real the first part is true)

Answer:

1 out of 6 because you have only one chance to get 4.

Step-by-step explanation:

Answer:

50% chance

Step-by-step explanation:

A prime number is a number that a natural number greater than 1 that is not a product of two smaller natural numbers. And the only prime numbers between 1 and 6 are 2,3, and 5. This is 3 numbers. So he has a chance of 3/6 =.5=50%

The cyclist traveled an average of 62.4 miles per day over the course of 36 days. To find the average number of miles the cyclist traveled, we divide the total distance traveled by the number of days.

In this case, the cyclist traveled 2,248 miles in 36 days. So, to calculate the average, we divide 2,248 by 36, which equals approximately 62.4 miles per day.

To arrive at this calculation, we use the formula for average: Average = Total sum / Number of items. In this context, the total sum represents the total distance traveled, which is 2,248 miles, and the number of items corresponds to the number of days, which is 36. Dividing the total distance by the number of days gives us the average number of miles per day.

Therefore, the average number of miles the cyclist traveled over the 36-day period is approximately 62.4 miles per day. It is important to note that this value is an approximation, rounded to one decimal place.

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6

6 multiplied by 12 =72

72 multiplied by 2 =144

Answer:

7.77777777778

Step-by-step explanation:

Answer:

7 7/9

Step-by-step explanation:

First convert all the fractions into improper ones.

Then, start to multiplying 7/3x2=14/3

Finally multiply 14/3x5/3=70/9

Simplify=7 7/9

The procedure which is deemed to be the type of sample in discuss is; representative sample are free of bias.

Representative sampling and random sampling are two techniques used to help ensure data is free of bias. A representative sample on the other hand is a group or set chosen from a larger statistical population according to specified characteristics. A random sample is a group or set chosen in a random manner from a larger population.

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Answer:

F, T, T, F

Step-by-step explanation:

1) F because the die is labeled 1 through 8. Because 1 through 3 are included within the die, it is possible to roll a number less than 4.

2) T because the die is from 1 to 8, meaning 5 through 8 - number 4 and greater - are able to be rolled. Rolling a 4, 5, 6, 7, or 8, has a probability of 5/8 chance of being rolled, making it a likely roll (as 5/8 is over a 50% chance).

3) T as numbers are always either even or odd, meaning it is impossible not to roll an even or odd number. In other words, it is certain to roll an even or odd number.

4) F as it is extremely likely to roll a number less than 7 with a whopping 6/8 chance of being rolled. What would be unlikely is rolling a number greater than 7.

Answer:

the third one

Step-by-step explanation:

because I knie

The frequency table is:-

Data        Frequency

10             1

11              2

12             2

13             4

14             6

15             5

The frequency table determines the frequency of the data. In other words, it tells us how many times the same data is repeated.

The given data set is, 13, 14, 12, 15, 15, 14, 15, 11, 13, 14, 11, 13, 15, 12, 14, 14, 10, 14, 13, 15

The frequency table can be written as:-

Data        Frequency

10             1

11              2

12             2

13             4

14             6

15             5

The distribution's shape for the next data set you provided is left- or negatively skewed. This is due to the fact that as a number's value increases, so does its frequency.

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The exact value of sin(α + β) is -16/65.

To find the exact value of sin(α + β), we can use the trigonometric identities and the given information about the values of sinα and sinβ.

We are given:

sinα = 3/5 (α in quadrant I)

sinβ = 5/13 (β in quadrant II)

Let's use the sum formula for sine:

sin(α + β) = sinα * cosβ + cosα * sinβ

To evaluate sinα, we need to find cosα using the Pythagorean identity:

sin²α + cos²α = 1

Given sinα = 3/5, we can solve for cosα:

(3/5)² + cos²α = 1

9/25 + cos²α = 1

cos²α = 1 - 9/25

cos²α = 16/25

cosα = ± √(16/25)

cosα = ± 4/5

Since α is in quadrant I, cosα is positive:

cosα = 4/5

Similarly, we need to find cosβ using the Pythagorean identity:

sin²β + cos²β = 1

Given sinβ = 5/13, we can solve for cosβ:

(5/13)² + cos²β = 1

25/169 + cos²β = 1

cos²β = 1 - 25/169

cos²β = 144/169

cosβ = ± √(144/169)

cosβ = ± 12/13

Since β is in quadrant II, cosβ is negative:

cosβ = -12/13

Now, substitute the values of sinα, cosα, sinβ, and cosβ into the sum formula for sine:

sin(α + β) = (3/5) * (-12/13) + (4/5) * (5/13)

sin(α + β) = -36/65 + 20/65

sin(α + β) = -16/65

Therefore, the exact value of sin(α + β) is -16/65.

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The ordered pair of point C' after a rotation of 180º around the origin to create pentagon A'B'C'D'E' is given as follows:

C'(5,2).

The function rule for the five more known rotation rules are given as follows:

The coordinates of point C on the pentagon are given as follows:

C(5,2).

For the rotation of 180º, we change the signal of each component of the coordinate, hence it is given as follows:

C'(5,2).

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2 boxes of pizza's pizza is usually cut in eights so there would be 16 slices of pizza divided by 5 it would be around 3 or 3.2

Step-by-step explanation:

The area of a plane shape is the measurement on a  2-dimensional plane. The area of the triangle is 110.124 \(cm^{2}\).

A triangle is a  plane shape that has not more than three sides and three angles. The sum of the internal angle of a triangle is \(180^{o}\).

In the given question, the area of the given triangle can be determined by;

Area = \(\frac{1}{2}\) ac SinB

Where: a = 12 cm, c = 19 cm and B = 105°.

Therefore,

Area of the triangle =  \(\frac{1}{2}\) x 12 x 19 x Sin 105°

                                = 6 x 19 x 0.9660

Area of the triangle =  110.124 \(cm^{2}\)

The area of the given triangle is 110.124 \(cm^{2}\).

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Answer:

25 km

Step-by-step explanation:

Answer:

second one

Step-by-step explanation:

it is the second one , it has three expression starts with 5

when n=0 :2n+5=2(0)+5=5

n=1 : 2n+5=7

n=2: 2n+5=4+5=9

n=3: 2n+5=11

Answer: B

Step-by-step explanation:

The Triangle Inequality states that for any two vectors a and b, the magnitude of their sum (a + b) is less than or equal to the sum of their magnitudes (|a| + |b|).

This inequality can be geometrically interpreted as follows: The length of the vector sum of two vectors is always less than or equal to the combined lengths of the individual vectors laid end to end.

The Cauchy-Schwarz Inequality states that for any two vectors a and b, the dot product of a and b is less than or equal to the product of their magnitudes (|a| * |b|).

This inequality can be used to prove the Triangle Inequality by considering the dot product of (a + b) with itself and applying the Cauchy-Schwarz Inequality.

a) Geometrically, the Triangle Inequality can be understood as follows:

If you draw vectors a and b in a coordinate system, the magnitude of their sum (|a + b|) represents the length of the diagonal of the parallelogram formed by vectors a and b. The Triangle Inequality states that this diagonal length is always less than or equal to the sum of the lengths of the two sides (|a| + |b|) of the parallelogram.

b) To prove the Triangle Inequality using the Cauchy-Schwarz Inequality, we start with the Cauchy-Schwarz Inequality: |a · b| ≤ |a| * |b|. Then, we square both sides of the inequality to get (a · b)^2 ≤ (|a| * |b|)^2. Expanding the left side of the inequality gives (a · b)^2 ≤ (a · a) * (b · b). Substituting the dot products with their corresponding magnitudes squared, we have (a · b)^2 ≤ |a|^2 * |b|^2.

Taking the square root of both sides, we get |a · b| ≤ |a| * |b|. Since |a · b| represents the magnitude of the dot product of a and b, and |a| * |b| represents the product of their magnitudes, we can conclude that the Cauchy-Schwarz Inequality implies the Triangle Inequality

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Answer:

REflection over the y axis

Step-by-step explanation:

When you reflect over the y axis, you change the x coordinate from a positive to a negative. The opposite goes for the reflection over the x axis

Answer:

5

Step-by-step explanation:

1245-850=395, 395/79=5

Answer:

5 cases

Step-by-step explanation:

To find the case amount we must take the iphone out of the equation like this

1245-850 = 395

This leaves us with $395 and if each case costs $79 we must divide like this

395 / 79 = 5

Which leaves us with 5, so that must mean that Ryan bought 5 cases.

Hope this helps ( :

The rate of change of volume (dV/dt) of a cone is 28π.

The volume (V) of a cone can be expressed as V = (1/3)πr²h, where r is the radius of the base and h is the height. To find the rate of change of volume with respect to time (dV/dt), we can differentiate the volume equation with respect to time.

dV/dt = (1/3)π(2r)(dr/dt)h + (1/3)πr²(dh/dt)

Given that dV/dt = 28π, we can set up the equation:

28π = (1/3)π(2r)(dr/dt)h + (1/3)πr²(dh/dt)

Simplifying the equation and solving for the unknown values (dr/dt and dh/dt) would require additional information such as the values of r and h and their rates of change.

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a)

\(g(x) = 3 {x + 2x}^{2} + 4 \\ g( - 2) = 3( - 2) + 2( - 2) {}^{2} + 4 \\ = ( - 6) + 2(4) + 4 \\ = ( - 6) + 8 + 4 \\ = ( - 6) + 12 \\ = 6\)

Answer:  If the rows must be even, she can set

14 rows of 5 chairs

10 rows of 7 chairs

7 rows of 10 chairs  or

5 rows of 14 chairs

Step-by-step explanation:

Take the prime factors of 70: 2, 5 and 7  Multiply  them in different ways to get the combinations where no product is greater than 20. (7 ×5 is the one combination of factors that won't work)

Anthony's "hiring process" or "recruitment period" was 30 days.

The blank can be filled with "hiring process" or "recruitment period" to indicate the duration between placing the advertisement for a new assistant on November 1 and hiring Marquis on December 1. This period represents the time it took Anthony to evaluate applicants, conduct interviews, and make the decision to hire Marquis.

The hiring process typically involves several steps, such as advertising the job opening, reviewing applications, conducting interviews, and finalizing the selection. The duration of this process can vary depending on various factors, including the number of applicants, the complexity of the position, and the efficiency of the hiring process.

In this case, the hiring process took 30 days, indicating the length of time it took for Anthony to complete the necessary steps and choose Marquis as the new assistant. This duration provides insight into the timeframe Anthony needed to assess candidates and make a hiring decision.

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Answer:

Let x be the weight of a bag of almonds (in grams) and y be the weight of a bag of peanuts (in grams).

From the first statement, we have the equation:

4x + 3y = 750

From the second statement, we have:

3x + 5y = 14y

Simplifying the second equation, we get:

3x - 9y = 0

Now we have two equations:

4x + 3y = 750

3x - 9y = 0

We can use elimination to solve for one variable. Multiplying the second equation by 4, we get:

12x - 36y = 0

Adding this to the first equation, we get:

16x = 750

x = 46.875

Now we can substitute this value of x back into one of the equations to solve for y. Using the second equation, we get:

3(46.875) + 5y = 14y

140.625 = 9y

y = 15.625

Therefore, each bag of almonds weighs approximately 46.875 grams, and each bag of peanuts weighs approximately 15.625 grams.

Answer:

c = 8

Step-by-step explanation:

36/c = 45/10

36 * 10 = 45 * c

360 = 45c

c = 360/45

c = 8

Answer:

4

Step-by-step explanation:

5-1=4

...............

According to the given function f(x,y) = 22 - xy + y² - 5x + 5y and the domain D = {(x,y) | 0 < x < 4, -1 < y < 3}, we can find the maximum and minimum values of the function within the given domain.
To find the critical points, we need to take the partial derivatives of the function with respect to x and y, set them equal to zero, and solve for x and y.
f_x = -y - 5 = 0
f_y = -x + 2y + 5 = 0
Solving these equations simultaneously, we get the critical point (x,y) = (3,2).
To determine whether this critical point is a maximum or a minimum, we need to find the second partial derivatives of f(x,y) with respect to x and y.
f_xx = 0, f_yy = -2
Since f_yy is negative at the critical point, we conclude that (3,2) is a local maximum.
Next, we need to check the boundary of the domain to see if there are any maximum or minimum values. We can parameterize the boundary as follows:
1. x = 0, -1 ≤ y ≤ 3
2. x = 4, -1 ≤ y ≤ 3
3. 0 ≤ x ≤ 4, y = -1
4. 0 ≤ x ≤ 4, y = 3
We can then plug these values into the original function f(x,y) and compare the results to find the maximum and minimum values.
On the line x = 0, we have f(0,y) = 22 + y² + 5y, which has a maximum value of 33 when y = -5/2 and a minimum value of 11 when y = 1.
On the line x = 4, we have f(4,y) = 6 + y² + 5y, which has a maximum value of 33 when y = -5/2 and a minimum value of 11 when y = 1.
On the line y = -1, we have f(x,-1) = 28 - x - 5, which has a maximum value of 22 when x = 0 and a minimum value of 10 when x = 4.
On the line y = 3, we have f(x,3) = 10 - x + 15, which has a maximum value of 22 when x = 0 and a minimum value of 10 when x = 4.
Therefore, the maximum value of f(x,y) within the domain D is 33, which occurs at the points (0,-5/2), (3,2), and (4,-5/2), and the minimum value is 10, which occurs at the points (4,1) and (0,1).

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Answer:

Look at the explanation

Step-by-step explanation:

Yes, I can conclude that these triangles are congruent. All three sides and angles of one the triangle are equivalent(congruent) to the other corresponding triangle which indicates that both triangles are congruent.

\(length \: of \: 1 \: side = diameter\)

\(area \: = {l}^{2} \\ 100 = {l}^{2} \\ \sqrt{100} = l \\ l = 10\)

\(diameter = 2 \times radius \\ 10 = 2 \times radius \\ radius = 5\)

\(circle \: area = pi \times {r}^{2} \\ circle \: area = 3.142 \times {5}^{2} \\ circle \: area = 3.142 \times 25 \\ circle \: area = 78.55 {cm}^{2} \)