A triangle has side lengths of (6a - 36) centimeters, (5a + 5c) centimeters, and (8c - b) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?​

The expression that models the problem is:

2 and 1/2 pounds + 3 and 3/4 pounds

b. To find the LCD (Least Common Denominator) of the fractions 1/2 and 3/4, we need to find the least common multiple (LCM) of the denominators, which are 2 and 4. The LCM of 2 and 4 is 4. Therefore, the LCD of the fractions is 4.

c. To evaluate the expression, we need to find the sum of the mixed numbers and the fractions separately:

2 and 1/2 pounds = 2 pounds + 1/2 pound = 2 pounds + 2/4 pound

3 and 3/4 pounds = 3 pounds + 3/4 pound = 3 pounds + 3/4 pound

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Slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that A cell phone company uses the equation C=$0.15t+$35.00

C is the total cost for a month of service.

t is the number of text messages.

We have to find the slope of the equation.

slope is 0.15 and 35.00 is the y intercept of the equation given.

Hence, slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

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The type of reasoning janet used in this situation was

Inductive reasonings .

In mathematics, reasoning involves drawing logical conclusions based on evidence or stated assumptions. Sense making may be considered as developing understanding of a situation, context, or concept by connecting it with existing knowledge or previous experience.

Why is reasoning in maths important?

Reasoning in maths is the ability to make logical links and connections which help you tackle a new maths problem. The skill of reasoning equips students not only with the ability to say how they will attempt to work out an answer, but why and how they can be sure it will work.

Inductive reasoning is a type of reasoning that draws general conclusions from specific observations .

In this case Janet examines only isosceles traingle ( specific ) and concluded that all triangles are isosceles ( generalised ).

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Answer:

W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2)

Step-by-step explanation:

The vertices of the trapezoid WXYZ are, W(-4, 2), X(-3, 4), Y(-1, 4), and Z(0, 2)

The coordinates of the image following the rotation transformation of the preimage (x, y) 180° about the origin is (-x, -y)

Therefore, following the rotation transformation of trapezoid WXYZ, the coordinates of the image W'X'Y'Z' are given as follows;

W(-4, 2) rotated 180° about the origin gives W'(4, -2)

X(-3, 4) rotated 180° about the origin gives X'(3, -4)

Y(-1, 4) rotated 180° about the origin gives Y'(1, -4)

Z(0, 2) rotated 180° about the origin gives Z'(0, -2)

Therefore, we get;

W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2).

Answer:

Its A

Step-by-step explanation:

i just took the test.

Answer: c i would choose give him 250 dollars hope this helped  

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Step-by-step explanation:

Answer:

2(x + 5)

Step-by-step explanation:

1. Common factor

2x + 10

2(x + 5)

Solution

2(x + 5)

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Answer:

h ≈ 29.98

Step-by-step explanation:

diameter = 12m

volume = \(1130m^{3}\)

radius = 6m

The equation to find the height given radius and volume:

\(h = \frac{3(V)}{\pi r^2}\)

Plug in values

Answer:

Given:-

Diameter=12m

Volume=1130m³

Takeπ=3.14

To find:-

Height of cone=?

Step-by-step explanation:

Solution:-

Radius=d/2

= 12/2

=6m

Volume of cone=1/3πr²h

h= 3v/πr²

= 3×1130/3.14× 6²

= 3390/113.04

= 29.98m

hence, the height of cone is 30m.

Answer:

\(6\:\text{cups}\)

Step-by-step explanation:

Since the proportion is maintained, we can set up the following proportion:

\(\frac{2/3}{1}=\frac{x}{9}\), where \(x\) is the amount of glitter, in cups, Mindy will use to make 9 cups of glittery paint.

Cross-multiply to get:

\(1x=9\cdot \frac{2}{3},\\x=9\cdot \frac{2}{3}=\boxed{6\:\text{cups}}\)

The system of linear equations is 8x + 15y = 193 and 3x + 12y = 117. Then, the cost of each pair of jeans is $11, and the cost of each t-shirt is $7.

To find the cost of each t-shirt, we need to write a system of linear equations and solve it by elimination. Let's use the variables x to represent the cost of each pair of jeans and y to represent the cost of each t-shirt.

The first equation comes from Monyne's purchase: 8x + 15y = 193
The second equation comes from Steven's purchase: 3x + 12y = 117

Now we can use the elimination method to solve the system of equations. First, we'll multiply the first equation by -3 and the second equation by 8 to eliminate the x variable:
-24x - 45y = -579
24x + 96y = 936

Adding the two equations together gives us:
51y = 357

Dividing both sides by 51 gives us the cost of each t-shirt:
y = 7

Now we can plug this value back into one of the original equations to find the cost of each pair of jeans:
8x + 15(7) = 193
8x + 105 = 193
8x = 88
x = 11

So the cost of each pair of jeans is $11 and the cost of each t-shirt is $7.

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Answer:

$850.79

Step-by-step explanation:

Assuming "$ 796-99" meant $796.99

796.99 increase 6.75% =

796.99 × (1 + 6.75%) = 796.99 × (1 + 0.0675) = 850.786825

Answer:

-9p+3

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The area between z=1.1 and z=2.1 is approximately 0.982 - 0.864 = 0.118, rounded to three decimal places.

To find the area below z=1.04 for an Upper N(0,1) density, you will need to use the standard normal distribution table or a calculator with a z-table function. Here are the steps:

1. Locate the value of z=1.04 in the table or use the calculator's function.
2. Find the corresponding area value (which represents the probability or percentage of values below z=1.04).

The area below z=1.04 is approximately 0.851, rounded to three decimal places.

(b) To find the area above z=-1.4 for an Upper N(0,1) density, follow these steps:

1. Locate the value of z=-1.4 in the table or use the calculator's function.
2. Find the corresponding area value.
3. Since we need the area above z=-1.4, subtract the area value found in step 2 from 1.

The area above z=-1.4 is approximately 1 - 0.0808 = 0.919, rounded to three decimal places.

(c) To find the area between z=1.1 and z=2.1 for an Upper N(0,1) density, follow these steps:

1. Locate the values of z=1.1 and z=2.1 in the table or use the calculator's function.
2. Find the corresponding area values for both z=1.1 and z=2.1.
3. Subtract the area value of z=1.1 from the area value of z=2.1 to find the area between them.

The area between z=1.1 and z=2.1 is approximately 0.982 - 0.864 = 0.118, rounded to three decimal places.

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Answer:

D

Step-by-step explanation:

two and four are corrisponding angles (if n and p are parallel)

The statement that angle 2 ≅ angle 4 is Corresponding Angles Postulate

The angles which are formed in corresponding corners with the transversal when two parallel lines are intersected by any other line is called corresponding angle. The angles created when a transversal intersects two parallel lines are known as corresponding angles. Typical examples of corresponding angles include opening and closing a lunchbox, resolving a Rubik's cube, and endless parallel railroad tracks. These are created in the transversal's corresponding or matching corners. According to the definition of corresponding angles, when two parallel lines cross a third one, the angles that are in the same relative position at every intersection are referred to as being corresponding angles to one another.

A/c to corresponding angle,

∠2 = ∠4

Hence, option D is correct.

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Answer:

Girl i dont know im so sorry

Step-by-step explanation:

good luck on ur assignment tho xoxo

Step-by-step explanation:

Nate - I can't fold my invitation at all. The parts won't match.

Hector - I can fold my invitation more than one way.

Daniel - I can fold my invitation along only a horizontal line.

Micheal - I can fold my invitation along only a vertical line.

1 yellow heart = 4

5 yellow hearts = 20

1 pink triangle = 4

5 pink triangles = 20

hope it helps...!!!

Answer:

four fifths because if you divided 4 by 5 is 0.8 and that equals four fifths

Answer:

Zulus.

Explanation:

The Zulus are a group of ethnic people from the Bantu tribe in Southern Africa. They also constitute the largest ethnic group in South Africa and were a separate kingdom before the attack by the Britishers in 1879.

Therefore, it is only reasonable to say that the resistance to the British rule in Southern Africa was led by the Zulus as it was their land. The Ethiopians, Egyptians, and Liberians were African nations but not a part of the Southern African area. Ethiopia is in the East, Liberia in the West, and the Egyptians in the North part of Africa.  

Answer:

Yes

Step-by-step explanation:

\(11 + 6 = 17 > 13\)

\(6 + 13 = 19 > 11\)

\(11 + 13 = 24 > 6\)

sec θ = -√89/8

cot θ = -8/5

We can use the distance formula to find the hypotenuse of the right triangle formed by the terminal side passing through point P(-8, 5):

h = √(x^2 + y^2) = √((-8)^2 + 5^2) = √(64 + 25) = √89

Now we can use the definitions of the trigonometric functions to find their values:

sin θ = y/h = 5/√89

cos θ = x/h = -8/√89 (negative because x is negative in the second quadrant)

tan θ = y/x = -5/8 (negative because both x and y are in opposite quadrants)

csc θ = h/y = √89/5

sec θ = h/x = -√89/8 (negative because x is negative in the second quadrant)

cot θ = 1/tan θ = -8/5 (negative because both x and y are in opposite quadrants)

Therefore, the values of the six trigonometric functions for the angle whose terminal side passes through point P(-8, 5) are:

sin θ = 5/√89

cos θ = -8/√89

tan θ = -5/8

csc θ = √89/5

sec θ = -√89/8

cot θ = -8/5

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Answer:it is 16%

Step-by-step explanation:

Answer:

16%

Step-by-step explanation:

The total salary for the lifeguard job would be $4,550, and for the camp counselor job, it would be $4,875. Thus, the camp counselor job would make you more money for the summer.

To represent the salaries for these jobs, we can use the following equations:

i. Lifeguard job: Salary = (Hourly rate * Number of hours worked) + Signing bonus.

ii. Camp counselor job: Salary = Hourly rate * Number of hours worked.

Considering that you plan to work 5 hours a day, 5 days a week for 13 weeks, we can calculate the total salaries for each job:

i. Lifeguard job: Salary = ($12 * 5 * 5 * 13) + $500 = $3,900 + $500 = $4,400.

ii. Camp counselor job: Salary = $15 * 5 * 5 * 13 = $3,875.

Comparing the total salaries, we find that the camp counselor job would make you more money for the summer. The total salary for the camp counselor job amounts to $4,875, while the lifeguard job yields a total salary of $4,400. Although the lifeguard job offers a signing bonus, the higher hourly rate of the camp counselor job results in a higher overall compensation. Therefore, if maximizing your earnings is the primary factor, choosing the camp counselor job would be more financially advantageous for the summer.

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There is an outlier in the data, as the maximum value of 303 exceeds the upper outlier limit of 85.5. Further analysis is needed to investigate the reason for the outlier and address any data issues or inconsistencies.

To determine if there are any outliers in the data, we can use the interquartile range (IQR) and the concept of outlier limits. The IQR is the range between the first quartile (Q1) and the third quartile (Q3), and it provides a measure of the spread of the data. The outlier limits are calculated as 1.5 times the IQR above Q3 and below Q1.

In this case, the first quartile (Q1) is 21, and the third quartile (Q3) is 63. The IQR is therefore 63 - 21 = 42. The upper outlier limit is calculated as Q3 + 1.5 * IQR, which is 63 + 1.5 * 42 = 85.5. The lower outlier limit is Q1 - 1.5 * IQR, which is 21 - 1.5 * 42 = -16.5.

The maximum value in the data is 303, which is above the upper outlier limit of 85.5. Therefore, it is considered an outlier. Additionally, it is mentioned that the maximum value is an impossible value given the context of the survey, indicating that there may be some data entry error or other issues.

Next steps in the analysis could involve examining the data to understand the reason for the outlier and the presence of the impossible value.

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The check number in the image is 403 based on the image of cheque and associated information.

The cheque is a piece of paper utilised in banks for transaction. It is also a valid proof of money exchange and is exchanged among people and buisness to transfer the money. There are different numbers on cheque representing crucial information.

The number 856425785 is the routing number, 2146578212 is the account number and 403 si the cheque number. $204.67 is the amount of transaction. The top left corner indicates money sender's credential while the hand written information is of the receiver. The date of writing cheque is used to calculate the validity of cheque.

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Answer:
45.2x0.784

Step-by-step explanation:

This problem equals 35.4368, which has four decimal points

Answer:

The linear equation is y = 450 - 30 x, where y is the number of pages

Lourdes has left to read after x days

Step-by-step explanation:

Each day, Lourdes reads 30 pages of a 450-page book

- We need to write a linear equation to represent the number of pages

 Lourdes has left to read after x days

∵ Lourdes reads 30 pages each day

∵ Lourdes will read for x days

∴ The number of pages Lourdes will read in x day = 30 x

- The left pages will be the difference between the total pages of the

 book and the pages Lourdes read

∵ The book has 450 pages

∵ Loured will read 30 x in x days

∴ The number of pages left = 450 - 30 x

- Assume that y represents the number of pages Lourdes has left

 to read after x days

∴ y = 450 - 30 x

The linear equation is y = 450 - 30 x, where y is the number of

pages Lourdes has left to read after x days

Equilibrium is the term refers to coordination, balance, and balance in three dimensional space.

The equilibrium condition of an object exists when Newton's first law is valid. An object is in equilibrium in a reference coordinate system when all external forces (including moments) acting on it are balanced. This means that the net result of all the external forces and moments acting on this object is zero.

There are three types of equilibrium: stable, unstable, and neutral.

Examples of equilibrium in everyday life:

A book kept on a table at rest. A car moving with a constant velocity. A chemical reaction where the rates of forward reaction and backward reaction are the same.

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