10% of the 50 coffee mugs at Adam's Pancake House are dirty. How many dirty coffee mugs are there at the pancake house?

Answer:

7 1/2

Step-by-step explanation:

You first multiply the numerator by the 5

And the denominator stays the same so you get  15/2

And then you simplify and you get 7 1/2

Hope this helped!!!

Answer:

13 i think

Step-by-step explanation:

The answer for 2+22+222+2222+22222 is 24690

Answer:

22222222222

Step-by-step explanation:

222+22+2222+22²22

Answer:

A

Step-by-step explanation:

because the point number are segment

The least common factor of the denominator will be 36.

The corresponding value integer that can be divided by both is known as the lowest relevant multiple, commonly referred to as the lowest common multiple of pair (or more) numerals a and b.

The fraction numbers are given below.

5/9 and 1/12

The factors of 9 are given as,

9 = 3 x 3

The factors of 12 are given as,

12 = 2 x 2 x 3

Then the least common factor of the denominator is given as,

LCM of 9 and 12 = 2 x 2 x 3 x 3

LCM of 9 and 12 = 36

The least common factor of the denominator will be 36.

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Answer:

27/35.

I can break it down for you to understand if u want.

Step-by-step explanation:

Answer:

27/35

Step-by-step explanation:

Answer: its C. 3 15

ON EDGEEEE ITS RIGHT 2023

Step-by-step explanation:

Answer:

2 1/9

Step-by-step explanation:

Divide 19 by 9 and get a number with a remainder

Take remainder and put it as the numerator with 9 and the denominator and with 2 as the whole number

Answer:

PICTURE?

Step-by-step explanation:

Answer:

King K Rool and Pokemon Trainer

Step-by-step explanation:

Cuz K Rool thicc so he can tank hits, he has a counter, and has projectiles.

Answer:

Little mac

Step-by-step explanation:

Do not listen to whatever anyone else says, he is the BEST character by far.

Answer:

245g of oats

980ml of milk

49g of sugar

Step-by-step explanation:

350÷10=35

1,400÷10=140

70÷10=7

35×7=245

140×7=980

7×7=49

Answer:

1)
Number of Seats in next three rows: 37, 41, 45

Number of seats in row 21 = 105

2)

Cost for 4, 5, 6 miles:
Miles            Cost($)
4                    14.50

5                    18.00

6                    21.50

Cost for 12 miles = $42.50

Step-by-step explanation:

1) The arithmetic sequence is
25, 29, 33 ....

Each term is 4 more than the previous term

So the next three terms starting with the 4th term area

33 + 4 = 37
37 + 4 = 41

41 + 4 = 45

In terms of the problem statement these are the number of seats in rows 4, 5, 6 respectively

The general equation for an arithmetic sequence nth term is

a(n) = a(1) + d(n - 1)

Here a(1) is the first term; here a(1) = 25

d = difference between successive terms called the common difference; here common difference = 4

n is of course the number of terms to be considered

using the values we have
a(n) = 25 + 4(n- 1)

= 25 + 4n - 4

= 21 + 4n

So the 21st term is a(21)

a(21) = 21 + 4 (21)

= 21 + 84

= 105

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

2. Another arithmetic sequence

The first term is the charge for the first mile = 4

The second term = 7.5 for 2 miles

The third term = 11.5 for 3 miles

So d = 11 - 7.5 = 7.5 - 4 = 3.5

The cost for 4 miles = 11 + 3.50 = $14.50

The cost for 5 miles = 14.50 + 3.50 = $18

The cost for 6 miles = 18 + 3.50 = $21.50

Using the equation for finding the nth term we get

a(n) = a(1) + d(n - 1)
a(n) = 4 + 3.5(n-1)

a(n) = 4 + 3.5n - 3.5

a(n) = 0.5 + 3.5n

We have the following table

Miles            Cost      ($)

1                     4.00

2                    7.50

3                    11.00

4                    14.50

5                    18.00

6                    21.50

For 12 miles which would correspond to the 12 term

a(12) = 0.5 + 3.5(12)

= 0.5 + 42

= $42.50

The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

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Answer:

Small no. is 15

Larger no. is 15 + 27 = 42

Step-by-step explanation:

Let the small no. be x

Larger no. will be x + 27

5x + x + 27 = 117

6x + 27 = 117

6x = 117-27

x = 90/6

x = 15

The value of K is 2.

Let's denote the scale factor as K. The surface area of a solid after dilation is directly proportional to the square of the scale factor.

We are given that the initial surface area of the solid is 50 units^2, and after dilation, the surface area becomes 200 units^2.

Using the formula for the surface area, we have:

Initial surface area * (scale factor)^2 = Final surface area

50 * K^2 = 200

Dividing both sides of the equation by 50:

K^2 = 200/50

K^2 = 4

Taking the square root of both sides:

K = √4

K = 2

Therefore, the value of K is 2.

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Answer:

B. –48

Step-by-step explanation:

Answer:y=-48

Step-by-step explanation:

4*(2*-6)=-48

Answer:

The correct answer is y= 1/16

Step-by-step explanation:

2^-6 is 1/64 multiplied by 4 is 1/16

Substitute the value of the variable into the expression and simplify.

( − 6 , − 48 )

The volume of the slice is 40 in³. The volume of the remaining cake would be 197.014 in³.

A regular hexagon can be defined as a closed shape consisting of six equal sides and six equal angles.

Here we have two regular hexagons

one top small hexagon cake with a side of length = 3 in, height = 3 in

One big hexagon cake, side of length = 4 in, Height = 4 in

A slice cut such that it removes a side segment is equivalent to an equilateral triangle with a side

length = length of hexagon side

The length of the side of the removed equilateral triangle side

Top small cake slice triangle side = 3 in.

Area of surface of small slice = 1/2 x b x h = 1/2 x 3 x 3 x sin 60

                                                = 9√3/ 4

The volume of a small slice  

=  Area of surface small slice × Height of small cake

= 9√3/ 4  x 3

= 11. 69

Big cake slice triangle side = 4 in.

Area of the surface of big slice = 1/2 x 4 x 4 x sin 60

                                                    = 4√3

The volume of big slice =  Area of the surface of big slice × Height of big slice

= 16√3

= 28

The total volume of slice = Volume of small slice + Volume of big slice

Total volume of slice = 12 in³ +28 in³ = 40 in³

For the small cake,

the remaining volume = 5 x 11.69 = 58.45

For the big cake

the remaining volume = 5 x 27.71 = 138.56

Total volume remaining cake

= 58.45 in³ + 138.56 in³ = 197.014 in³

a = Length of side

h = Height of hexagon

The volume of each slice is,

= a^2 x h x √3/4

For the small cake, we have

a = 3 in.

h = 3 in.

The volume of small slice = a^2 x h x √3/4

                                   = 9 x 3 x √3/4

                                   = 27√3/4

For the big cake, we have

a = 4 in.

h = 4 in.

Volume of big slice =  a^2 x h x √3/4

                                = 16 √3

The total volume of slice = Volume of small slice + Volume of a big slice

Total volume of slice = 27√3/4 + 16 √3

The total volume of the slice = 39404 in³.

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The results obtained using the algebraic approach and the matrix approach should be the same. Both methods are mathematically equivalent and provide the most probable values of A and B that minimize the sum of squared weighted residuals.

To solve the system of equations using the weighted least squares method, we need to minimize the sum of the squared weighted residuals. Let's solve the problem using both the algebraic approach and matrices.

Algebraic Approach:

We have the following equations:

A + 2B = 10.50 + V1 ... (1)

2A - 3B = 5.55 + V2 ... (2)

2A - B = -10.50 + V3 ... (3)

To minimize the sum of squared weighted residuals, we square each equation and multiply them by their respective weights:

\(2^2 * (A + 2B - 10.50 - V1)^2\)

\(3^2 * (2A - 3B - 5.55 - V2)^2\\1^2 * (2A - B + 10.50 + V3)^2\)

Expanding and simplifying these equations, we get:

\(4(A^2 + 4B^2 + 10.50^2 + V1^2 + 2AB - 21A - 42B + 21V1)\\9(4A^2 + 9B^2 + 5.55^2 + V2^2 + 12AB - 33A + 16.65B - 11.1V2)\\(A^2 + B^2 + 10.50^2 + V3^2 + 2AB + 21A - 21B + 21V3)\\\)

Now, let's sum up these equations:

\(4(A^2 + 4B^2 + 10.50^2 + V1^2 + 2AB - 21A - 42B + 21V1) +\\9(4A^2 + 9B^2 + 5.55^2 + V2^2 + 12AB - 33A + 16.65B - 11.1V2) +\\(A^2 + B^2 + 10.50^2 + V3^2 + 2AB + 21A - 21B + 21V3)\int\limits^a_b {x} \, dx\)

Simplifying further, we obtain:

\(14A^2 + 31B^2 + 1113 + 14V1^2 + 33V2^2 + 14V3^2 + 14AB - 231A - 246B + 21V1 - 11.1V2 + 21V3 = 0\)

Now, we have a single equation with two unknowns, A and B. We can use various methods, such as substitution or elimination, to solve for A and B. Once the values of A and B are determined, we can substitute them back into the original equations to find the most probable values of A and B.

Matrix Approach:

We can rewrite the system of equations in matrix form as follows:

| 1 2 | | A | | 10.50 + V1 |

| 2 -3 | | B | = | 5.55 + V2 |

| 2 -1 | | -10.50 + V3 |

Let's denote the coefficient matrix as X, the variable matrix as Y, and the constant matrix as Z. Then the equation becomes:

X * Y = Z

To solve for Y, we can multiply both sides of the equation by the inverse of X:

X^(-1) * (X * Y) = X^(-1) * Z

Y = X^(-1) * Z

By calculating the inverse of X and multiplying it by Z, we can find the values of A and B.

Comparing Results:

The results obtained using the algebraic approach and the matrix approach should be the same. Both methods are mathematically equivalent and provide the most probable values of A and B that minimize the sum of squared weighted residuals.

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Answer:

0, 2, 4, 6, 8

Step-by-step explanation:

the first couple of multiples of 2 are...

2, 4, 6, 8, 10

the last digits are 0, 2, 4, 6, 8...

so, 0, 2, 4, 6, 8 are the last digits!

Answer:

Slope is 1.5 and y-intercept is 11

Step-by-step explanation:

It's in the equation

This is an example of first mover advantage.

First mover advantage is a theory of organizational and business strategy by means of which it is considered that whoever has the first possibility of making decisions on a subject, will have a comparative advantage over the rest of the participants.

This is so because, it is assumed, this first actor will be able to take the best option for himself, leaving lower-ranking options to the rest of the participants.

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Given, Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph.Both Jada and Elena start walking along a walking trail at the same time.

Let us determine the distance covered by both of them.Distance travelled by Jada in 3 hours is:Distance = Speed × Time= 3 mph × 3 hours= 9 miles Distance travelled by Elena in 3 hours is:Distance = Speed × Time= 2.8 mph × 3 hours= 8.4 miles Thus, Jada will walk 0.6 miles farther than Elena after 3 hours.

To determine how far Jada will walk after 3 hours, we need to calculate the distance traveled based on her speed.

Jada walks at a speed of 3 miles per hour (mph), so we can calculate her distance using the formula:

Distance = Speed × Time

Plugging in the values, we have:

Distance = 3 mph × 3 hours

Distance = 9 miles

Therefore, Jada will walk a distance of 9 miles after 3 hours.

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The given information is as follows:

Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph. If they both begin walking along a walking trail at the same time.

Therefore, Jada will walk 9 miles after 3 hours.

The distance covered by Jada after 3 hours can be calculated as follows:

Distance = Speed x Time

Since Jada walks at a speed of 3 mph, the distance covered by her in 3 hours can be calculated as:

Distance covered by Jada = 3 mph x 3 hours

= 9 miles.

Therefore, Jada will walk 9 miles after 3 hours.

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We will substitute this value of sin²x in our expression which will give;6 tan²x(1 - sin²x)6 tan²x(1 - (1 - cos²x))6 tan²x cos²x.

We need to simplify the given expression which is given below;

6 tan2 x − 6 tan2 x sin2 x

In order to solve this expression, we will first write it in a factored form which will be;

6 tan²x(1 - sin²x)

We know that the identity for sin²x is;sin²x + cos²x = 1

Which can be rearranged to give;

sin²x = 1 - cos²x

Now we will substitute this value of sin²x in our expression which will give;6 tan²x(1 - sin²x)6 tan²x(1 - (1 - cos²x))6 tan²x cos²x.

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Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

To determine when tan(theta) is undefined on the unit circle, we need to remember the definition of the tangent function.
Tangent is defined as the ratio of the sine and cosine of an angle. Specifically, tan(theta) = sin(theta)/cos(theta).

Now, we know that cosine can never be equal to zero on the unit circle, since it represents the x-coordinate of a point on the circle and the circle never crosses the x-axis. Therefore, the only way for tan(theta) to be undefined is if the cosine of theta is equal to zero.
There are two values of theta on the unit circle where cosine is equal to zero: pi/2 and 3pi/2.

At theta = pi/2, we have cos(pi/2) = 0, which means that tan(pi/2) = sin(pi/2)/cos(pi/2) is undefined.
Similarly, at theta = 3pi/2, we have cos(3pi/2) = 0, which means that tan(3pi/2) = sin(3pi/2)/cos(3pi/2) is also undefined.
Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

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We need at least 5 tosses to be certain that the probability of getting at least one 6 is greater than or equal to 1/2.

The probability of not getting a 6 on a solitary throw of a fair six-sided kick the bucket is 5/6. Subsequently, the probability of not getting a 6 on n throws is \((5/6)^n\). The probability of getting somewhere around one 6 in n throws is 1 - \((5/6)^n\).

To view the quantity of throws expected as sure that the probability of getting somewhere around one 6 is more prominent than or equivalent to 1/2, we can set the probability equivalent to 1/2 and address for n:

1 - \((5/6)^n\) = 1/2

\((5/6)^n\) = 1/2

Taking the normal logarithm of the two sides, we get:

n ln(5/6) = ln(1/2)

n = ln(1/2)/ln(5/6) ≈ 4.807

Hence, we really want something like 5 throws to be sure that the probability of getting no less than one 6 is more prominent than or equivalent to 1/2.

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The total cost of materials and labor for the office space, considering a tile unit cost of P300 and labor cost equal to the materials cost, amounts to P63,000.

To calculate the total cost of materials and labor, we first need to determine the cost of the tiles. Given that the unit cost of a certain tile is P300, we can multiply this by the area of the office space to find the total cost of the tiles. The office space has an area of 63 sqm, so the total cost of the tiles is P300 * 63 = P18,900.

Next, we need to calculate the labor cost, which is 100% of the materials cost. Since the materials cost is P18,900, the labor cost will be equal to P18,900. Therefore, the total cost of labor is also P18,900.

To find the total cost of materials and labor, we add the cost of the tiles (P18,900) and the labor cost (P18,900): P18,900 + P18,900 = P37,800.

Therefore, the total cost of materials and labor for the office space is P37,800.

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