Desmond learned a total of 39 appetizer recipes over the course of 13 weeks of culinary school. After how many weeks of culinary school will Desmond know a total of 45 appetizer recipes? Assume the relationship is directly proportional.

Answer:

x<-13/3

Step-by-step explanation:

3x-3<-16

Add on both sides by 3

3x-3<-16

+3 +3

Simplify

3x<-13

Divide both sides by the same factor

3x<-13

÷3 ÷3

Cancel terms that are in both the numerator and denominator

x<-13/3

Answer:

x = 60°

Step-by-step explanation:

sum = (n-2) = 180

= (5-2) = 180

it's (5-2) because there is 5 angles.

= 3 = 180

divide both sides and becomes..

= 540

then, you add in all your angles and equal it to 540.

x + (2x) + (3x) + (x + 45) + (x + 15) = 540

collect the like terms.

8x + 60 = 540

subtract 60 from 540.

540 - 60 = 480

divide both sides by 8x.

8x = 480

x = 60°

a) The vector k = A * 1, b) The number m of edges is m = (1/2) * sum(k), c) The matrix N is N = A² - diag(A * 1),

d) The total number of triangles is T = (1/6) * trace(A³).

a) To calculate the vector k whose elements are the degrees ki of the vertices, we multiply the adjacency matrix A with the column vector of ones, denoted as 1.

k = A * 1

b) To determine the number of edges in the network, we calculate half the sum of the degree vector.

m = (1/2) * sum(k)

c) To find the matrix N whose element Nij is equal to the number of common neighbors of vertices i and j, we square the adjacency matrix A and subtract a diagonal matrix diag(A * 1) to remove self-loops.

N = A² - diag(A * 1)

d) The total number of triangles in the network can be obtained by cubing the adjacency matrix A. Then, the number of triangles is given by one-sixth of the sum of the diagonal elements of A³.

T = (1/6) * trace(A³)

learn more about Adjacency matrix here:

https://brainly.com/question/29538028

#SPJ4

It would take 220 minutes for Angela's and Benjamin's monthly bills be the same

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the cost after x minutes, hence:

For angela:

y = 0.15x + 49

The y intercept is $49 and the rate of change is $0.15 per minute

For Benjamin:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-60=\frac{80-60}{200-0} (x-0)\\\\y=0.1x+60\)

The y intercept is $60 and the rate of change is $0.10 per minute

For 200 minutes:

Angela: y = 0.15(200) + 49 = $79

Benjamin: y = 0.10(200) + 60 = $80

To be the same:

0.15x + 49 = 0.1x + 60

x = 220 minutes

It would take 220 minutes for Angela's and Benjamin's monthly bills be the same

Find out more on Linear equation at: https://brainly.com/question/14323743

Answer:

m= -2/3

Step-by-step explanation:

m= 4-2/-6-(-3) = -2/3

If you want to round a number within an arithmetic expression, you should use the ROUND function.

The ROUND function allows you to specify the number of decimal places to which you want to round a given number. It is commonly used in programming languages and spreadsheet software.

The syntax for the ROUND function typically involves specifying the number or expression you want to round and the number of decimal places to round to. For example, if you want to round a number, let's say 3.14159, to two decimal places, you would use the ROUND function like this: ROUND(3.14159, 2), which would result in 3.14.

Using the ROUND function ensures that the rounded number is calculated within the arithmetic expression, providing the desired level of precision in the calculation.

Know more about ROUND function here:

https://brainly.com/question/29295263

#SPJ11

Answer:

The triangle is not isoceles, it's equilateral because all the sides are congruent. Isoceles has only 2 congruent sides.

x=4

y=12

Step-by-step explanation:

It's equilateral

5y=60

y=12

5x-6=3x+2

2x=8

x=4

Answer:

y= 12 x=4

Step-by-step explanation:

To find y.

Its an equilateral triangle.

Each angle is 5y.

Therefore 180, (degrees in a triangle) divided by 3, (angles) worth 5y means 180 divided (3x5y) = 180 divided by 15=12.

To find x rearrange 5x-6 = 3x-2 as all sides are the same length.

x=4

Answer:

625,3125,15625

Step-by-step explanation:

Because it is ×5, so 125×5=625, 625×5=3125...

8x-5(8)=16

8x-40=16

8x=56

x=7

Brainliest?!

Answer:

2

Step-by-step explanation:

75/8=5

(75/8)/5=5/5

3 3/4=2

The geometry of the hybrid orbitals about a central atom with sp³ hybridization is tetrahedral.

When two atomic orbitals join to generate a hybrid orbital in a molecule, the energy of the individual atoms' orbitals is redistributed to give orbitals of equivalent energy.

The geometry of the hybrid orbitals about a central atom with sp³ hybridization is tetrahedral.

In sp³ hybridization, the central atom's s orbital and three p orbitals combine to form four sp³ hybrid orbitals. These hybrid orbitals are arranged in a tetrahedral geometry around the central atom, with bond angles of approximately 109.5 degrees. This geometry allows for maximum separation between the hybrid orbitals, minimizing electron-electron repulsion and optimizing stability.

Learn more about hybridization on:

https://brainly.com/question/30602828

#SPJ4

The exact value of the expression tan 15 + tan 30 / (1 - tan 150 tan 30) is 2/3.

The expression tan 15 + tan 30 / (1 - tan 150 tan 30) can be simplified by expressing each term in terms of sine and cosine functions.

First, let's express tan 15 in terms of sine and cosine. We can use the formula for the tangent of the sum of two angles:

tan(A + B) = (tan A + tan B) / (1 - tan A tan B)

In this case, A = 15 and B = 30. Plugging in these values, we have:

tan(15 + 30) = (tan 15 + tan 30) / (1 - tan 15 tan 30)

Simplifying the right side, we get:

tan(45) = (tan 15 + tan 30) / (1 - tan 15 tan 30)

Since tan 45 equals 1, we have:

1 = (tan 15 + tan 30) / (1 - tan 15 tan 30)

Next, let's express tan 30 in terms of sine and cosine. We know that tan 30 equals sin 30 / cos 30. Since sin 30 equals 1/2 and cos 30 equals √3/2, we have:

tan 30 = (1/2) / (√3/2) = 1 / √3

Now, let's express tan 150 in terms of sine and cosine. We know that tan 150 equals sin 150 / cos 150.

Since sin 150 equals 1/2 and cos 150 equals -√3/2, we have:

tan 150 = (1/2) / (-√3/2) = -1 / √3

Now, we can substitute these values back into the expression:

1 = (tan 15 + 1 / √3) / (1 - (-1 / √3) * (1 / √3))

Simplifying further:

1 = (tan 15 + 1 / √3) / (1 + 1 / 3)

Multiplying both sides by 3 to eliminate the fraction:

3 = 3(tan 15 + 1 / √3)

3 = 3tan 15 + 1

Subtracting 1 from both sides:

2 = 3tan 15

Finally, dividing both sides by 3:

2/3 = tan 15

So, the exact value of the expression tan 15 + tan 30 / (1 - tan 150 tan 30) is 2/3.

To know more about tangent function refer here:

https://brainly.com/question/30162652

#SPJ11

Answer:

so far i got A and C

Step-by-step explanation:

if its incorrect im sorry

The toy cars Anna must sell for her revenue to equal her expense is 4 toy cars. The result is obtained by using the concept of calculating algebra.

To calculate the algebra with one variable, sum up all the same variable and count the value.

Anna want to sell toy car at a craft fair. Each car is sold at a price of $ 12. The material for each car cost $ 3.50 and the table rental at the fair is 34 dollar for the day.

Find the toy cars must Anna sell for her revenue to equal her expense!

We have

Let's say

Revenue = Expense

a × $12 = (a × $3.5) + $34

12a = 3.5a + 34

12a - 3.5a = 34

8.5a = 34

a = 4 toy cars

Hence, Anna must sell 4 toy cars so that her revenue is equal to expense.

Learn more about algebra here:

brainly.com/question/24875240

#SPJ4

The height of the cell phone tower in feet will be 135 feet high.

The utilization of two or more additional numbers that compares is known as the ratio.

The cell tower that casts a shadow is 100 feet long.

Lia casts shadows 3 feet and 4 inches long.

If Lia is 4 feet 6 inches tall.

Let 'h' be the height of the tower. Then the height of the tower is given as,

h / 100 = (4 + 6/12) / (3 + 4/12)

h / 100 = 4.5 / 3.33

h / 100 = 1.35

h = 135 feet

The height of the cell phone tower in feet will be 135 feet high.

More about the ratio link is given below.

https://brainly.com/question/13419413

#SPJ1

Answer: 9 1/2 ==> D

Step-by-step explanation:

14 1/4 - 4 3/4 =

14 + 1/4 - (4 + 3/4) =

14 + 1/4 - 4 - 3/4 =

56/4 + 1/4 - 16/4 - 3/4 = ==> make each term share common denominators

(56+1-16-3)/4=

(57-19)/4=

38/4=

(36+2)/4=

36/4 + 2/4=9 1/2 ==> D

345.989554676 to 1 decimal place is 346.0

Decimals numbers are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point.

Example of decimal numbers are as follows;

12.4, 18. 9455, 56.7999, 6.7789, 9.067 etc.

When you round to the one decimal place, or to the nearest tenth, the number in the hundredth point place will determine whether you round up or down.

If the hundredths digit or second decimal number is a number between 5 and 9, round up to the nearest whole number. If it's a number between 0 and 4, you would "round down" by keeping the tenths place the same.

Therefore,

345.989554676 to 1 decimal place is 346.0

learn more on decimal here:https://brainly.com/question/50455

#SPJ1

Answer:

It is 3/13

Step-by-step explanation:

it is because there are 13 total marbles and 3 yellow ones

Answer:

6

Step-by-step explanation:

Answer:

204

Step-by-step explanation:

600 * .12 = 72

600 * .22 = 132

72 + 132 = 204

Have a great day!

Answer:

y = (1/2)x + 16

Step-by-step explanation:

General point/slope form is

y = mx +b (the two points given are (4,18) and (16,24))

slope = rise/run = (24-18)/(16-4) = 6/12 = 1/2

y = (1/2)x + b

pick one point (4,18) and plug in

18 = (1/2)4 + b

18 = 2 + b

b = 16 (he still gets $16 for zero chores)

So

y = (1/2)x + 16

The correct translation of or logically equivalent to 73 x 7T(x) is this: A. Some meals are tasty.

In the statement, we are told that the predicate, T(x) denotes that x is tasty. In the mathematical expression, we have a resentation of T(x) as 7T(x).

What this expression then means is that there are certain numbers within the given domain that satisfy the condition of being tasty. So,t he best translation is A which specifies that some meals are tasty.

Learn more about domains and predicates here:

https://brainly.com/question/30893695

#SPJ4

Complete Question:

Let the predicate T(x) denote that x is tasty and let our domain be a set of meals. What is a correct translation of or logically equivalent to 73 x 7T(x)?

Some meals are tasty. No meal is tasty Some meals are not tasty. No meals are not tasty. Not all meals are tasty. All meals are tasty. There is a meal that is not tasty.

Answer:

B

Step-by-step explanation:

The volume of any prism whose height is perpendicular to the base is

V = B * h

The base can be anything, even a 17 sided figure. As long as the base has an area that can be found, and the height is perpendicular to it, the volume can be calculated.

Answer:

How is volume calculated for a triangular prism?

Multiply the area of the triangular base by the prism’s height.

Answer:

Step-by-step explanation:

1st picture on left: no solution

2nd picture on right infinitely many solutions

Part A; The vertical to horizontal ratio of the ramp in the question of 3:15 does not meet the ADA guideline of a vertical to horizontal ratio of 1:12

Part B; The measurement of the ramp that would meet ADA guideline is a vertical to horizontal ratio of 3 feet to 36 feet.

The front entrance of the ramp should therefore be 36 feet away

A ratio  is an indication of the number of times one quantity is contained in another quantity.

The ADA guidelines requires that the rise angle ≤ 4.8°

The vertical ratio of the ramp ≤ 1:12

The distance the handicapped ramp must start = 15 feet from the front entrance

The rise of the ramp estimated by the contractors = 3 feet

Part A; The vertical to horizontal ratio of the ramp in the question = 3/15, which is 1:5

Therefore, the ramp does not meet ADA guidelines that requires a vertical to horizontal ratio of less than or equal to 1:12

Part B:

The ramp can be made to meet ADA guideline, whereby the horizontal distance from the entrance can be be adjusted as follows;

Let d represent the required horizontal distance of the front entrance, we get;

3:d = 1:12

From which we get;

\(\dfrac{3}{d} =\dfrac{1}{12}\)

3 × 12 = 1 × d

d = 36

The horizontal distance of the front entrance of the ramp should be 36 feet away.

Learn more about ratios here:

https://brainly.com/question/960143

#SPJ1

\(\\ \rm\hookrightarrow (x,y)=\left(\dfrac{x_1+x_2}{2}_\dfrac{y_1+y_2}{2}\right)\)

\(\\ \rm\hookrightarrow (x,y)=\left(\dfrac{6+9}{2},\dfrac{2+4}{2}\right)\)

\(\\ \rm\hookrightarrow (x,y)=\left(\dfrac{15}{2},\dfrac{6}{2}\right)\)

\(\\ \rm\hookrightarrow (x,y)=(7.5,3)\)

There is only one person in the garden.

The given parameters are

So the number as per the riddle is that the yard and the garden are the same

So, it means that you killed 30 people and the other 4 people escaped from the backyard.

So if the other 4 people escaped, the implication is that only the killer is left in the garden

In conclusion, the killer should understand that out of fear, all that were not killed will run away and he will be left alone. This means that only the killer was left = 1 person

Learn more about riddles on https://brainly.com/question/478260

#SPJ1