What is the probability of getting an odd number 1-10?

To find the value of b for the points (4,-6), (5,-8), and (b,-2) to lie on a line, we set the slopes between the first two points equal to the slope between the second and third points. Solving the equation gives us b = 2 as the required value.

To determine the value of b such that the points (4, -6), (5, -8), and (b, -2) lie on a line, we can use the concept of slope.

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Let's calculate the slope of the line passing through (4, -6) and (5, -8):

m₁ = (-8 - (-6)) / (5 - 4)

   = (-8 + 6) / (5 - 4)

   = -2 / 1

   = -2

Now, let's calculate the slope of the line passing through (5, -8) and (b, -2):

m₂ = (-2 - (-8)) / (b - 5)

   = (-2 + 8) / (b - 5)

   = 6 / (b - 5)

Since the three points lie on the same line, the slopes between any two pairs of points must be equal. Therefore, we can set m₁ = m₂:

-2 = 6 / (b - 5)

To solve for b, we can cross-multiply:

-2(b - 5) = 6

Distribute -2:

-2b + 10 = 6

Subtract 10 from both sides:

-2b = 6 - 10

-2b = -4

Divide by -2:

b = -4 / -2

b = 2

Therefore, the value of b that makes the points (4, -6), (5, -8), and (b, -2) lie on the same line is b = 2.

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Answer:

What are we looking to solve for?

How much each shirt she bought for the fundraiser costs, each.

What variable can be used to represent the unknown?

The variable "t".

What is the equation to solve the variable?

You can use the following equation as a framework for solving:

t * 22 = 231 solve for t.

Now lets solve:

I am going to use inverse operations: Divide instead of multiply.

231/22 = 10.05

Each shirt is worth $10.50.

Step-by-step explanation:

Hope it helps! =D

Answer:

We want to know how much each t-shirt costs.

t = 10.50

Step-by-step explanation:

We want to know how much each t-shirt costs.

Let the cost of each t-shirt  = t

22 * t = 231

Divide each side by 22

22t/2 = 231/22

t = 10.50

The cost of each t-shirt is 10.50

Londyn can tell that 18(x + 3) = 3(6x + 18) by factorization

factorization (or factorisation, see English spelling differences) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is a factorization of the integer 15, and (x – 2)(x + 2) is a factorization of the polynomial x2 – 4.

6(x + 3) = 6x + 18 which is true as a result of multiplying each term in the bracket by 6 otherwise say expansion.

But in 18(x + 3) + 32 = 3(6x + 18) +32, can be done by expansion and then  factoring out 3. She can tell that both are equal by expanding the two expression at the left and right which will give the same result.

In conclusion expanding both terms of the equation will yield the same result.

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The formula for the monthly loan payment is given as

Where

P = loan amount ( initial principal) = $15000

A= Payment amount per period = ?

r = interest rate per period = (5/12) x (1/100) =0.0041667

n = total number of payments or periods = 4 years = 4 x 12 = 48 months

Substituting all these into the above equation gives

So each month he pays $345.44 to the nearest cent

B)

The total interest for the loan is given by

Total amount paid over the total period of time - Original amount borrowed

Total amount paid over the total period of time = 345.44 x 48 months = $16581.12

The total interest of the loan hence = $16,581.12 - $15,000 = $1,581.12

The total loan interest to the nearest cent = $1,581.12

Answer:

Let's assume that the amount of saving is x.

According to the problem, the ratio of expenditure to saving is 4:1, so the amount of expenditure can be expressed as 4x.

The total income of the family is Rs. 500000, and it can be expressed as the sum of expenditure and saving:

Expenditure + Saving = 500000

Substituting the values of expenditure and saving, we get:

4x + x = 500000

Simplifying this equation, we get:

5x = 500000

Dividing both sides by 5, we get:

x = 100000

Therefore, the amount of saving is Rs. 100000, and the amount of expenditure is 4 times this value, which is Rs. 400000.

Answer: I think a second 30° angle in the diagram is JGH. A congruent angle to JGH is JGF.

Step-by-step explanation:

Answer:

20v + 6

Step-by-step explanation:

Perimeter = v + 10 + v + 10 + 9v - 7 + 9v - 7

Perimeter = 2v + 18v + 20 - 14

Perimeter = 20v + 6

-Chetan K

Answer:

Perimeter = 9v - 7 + 9v - 7 + v + 10 + v + 10

= 20v + 6...ans

Step-by-step explanation:

Answer:

d is the answer

Step-by-step explanation:

Answer:

7x

Step-by-step explanation:

This is because x represents how many miles she rides each day, so you need to multiply x by the 7 days in a week

\(\displaystyle\\Answer:\ none \ of\ these\ (m=-\frac{5}{3} );\ isosceles,\ right\)

Step-by-step explanation:

1.

a) find the midpoint G of the side DE:

\(x_D=-2\ \ \ \ x_E=3\ \ \ \ y_D=-2\ \ \ \ y_E=1\)

\(\displaystyle\\x_G=\frac{x_D+x_E}{2} \\\\x_G=\frac{-2+3}{2}\\\\x_G=\frac{1}{2}\\\\x_G=0.5\)

\(\displaystyle\\y_G=\frac{y_D+y_E}{2}\\\\y_G=\frac{-2+1}{2} \\\\y_G=\frac{-1}{2} \\\\y_G=-0.5\\\\Thus,\ G(0.5,-0.5)\)

b) find the midpoint I of the side DF:

\(x_D=-2\ \ \ \ x_F=6\ \ \ \ y_D=-2\ \ \ \ y_F=-4\)

\(\displaystyle\\x_I=\frac{x_D+x_F}{2} \\\\x_I=\frac{-2+6}{2} \\\\x_I=\frac{4}{2} \\\\x_I=2\)

\(\displaystyle\\y_I=\frac{y_D+y_F}{2}\\\\y_I=\frac{-2+(-4)}{2}\\\\y_I=\frac{-6}{2} \\\\y_I=-3\\\\Thus,\ I(2,-3)\)

c) the slope of GI:

\(x_G=0.5\ \ \ \ x_I=2\ \ \ \ y_G=-0.5\ \ \ \ y_I=-3\)

\(\displaystyle\\m_{GI}=\frac{y_I-y_G}{x_I-x_G} \\\\m_{GI}=\frac{-3-(-0.5)}{2-0.5} \\\\m_{GI}=\frac{-3+0.5}{1.5} \\\\m_{GI}=\frac{-2.5}{1.5} \\\\m_{GI}=\frac{-2.5(2)}{1.5(2)} \\\\m_{GI}=-\frac{5}{3}\)

2.

Type of Δ DEF:

a) find the length of the side DE:

\(|DE|=\sqrt{(3-(-2)^2+(1-(-2)^2}\\\\|DE|=\sqrt{(3+2)^2+(1+2)^2} \\\\|DE|=\sqrt{5^2+3^2}\\\\|DE|=\sqrt{25+9} \\\\|DE|=\sqrt{34} \ units\)

b) find the length of the side EF:

\(|EF|=\sqrt{(6-3)^2+(-4-1)^2}\\\\|EF|=\sqrt{3^2+(-5)^2}\\\\ |EF|=\sqrt{9+25} \\\\|EF|=\sqrt{34}\ units\)

Hence, DE=EF

c)  find the m∠DEF:

\(\displaystyle\\cos \angle E=\frac{\overrightarrow {DE}+\overrightarrow {EF}}{|DE|*|EF|} \\\\\)

Find the coordinates of the vector by the coordinates of its beginning and end points:

\(\displaystyle\\\overrightarrow {DE}=(x_E-x_D,y_E-y_D)\\\\\overrightarrow {DE}=(3-(-2),1-(-2))\\\\\overrightarrow {DE}=(5,3)\\\\\overrightarrow {EF}=(x_F-x_E,y_F-y_E)\\\\\overrightarrow {EF}=(6-3),-5-1)\\\\\overrightarrow {EF}=(3,-5)\\Hence,\\\\cos\angle E=\frac{5*3+3*(-5)}{\sqrt{34}*\sqrt{34} } \\\\cos\angle E=\frac{15-15}{34 }\\\\cos\angle E=\frac{0}{34 }\\\\cos\angle E=0\\\\m\angle E=90^0\)

Answer:

36/6

Step-by-step explanation:

12 x 3= 36.

2 x 3= 6.

Answer:

C. \(\frac{36}{6}\)

Step-by-step explanation:

After 11 years, we can expect to observe approximately 4146 monk parakeets in the united states.

to write an exponential growth model for this situation, we can use the formula:

n(t) = n0 * (1 + r)ᵗ

where:

- n(t) is the number of monk parakeets after t years- n0 is the initial number of monk parakeets (in 1993)

- r is the annual growth rate, expressed as a decimal (e.g. 0.13 for 13%)- t is the number of years since 1993

so for this problem, we have:

- n0 = 1219

- r = 0.13- t = 11 (to find the value after 11 years) and t = 20 (to find the value after 20 years)

using these values, we can calculate n(t) as follows:

- after 11 years:

n(11) = 1219 * (1 + 0.13)¹¹ = 4146.16 - after 20 years:

n(20) = 1219 * (1 + 0.13)²⁰ = 12979.05

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It would take 4.44 minutes to fill the sink using both faucets P and faucet Q together

An equation is an expression that shows the relationship between two or more numbers and variables.

Let t represent the time it takes to fill the sink using both faucets together, hence:

(1/10 + 1/8)t = 1

t = 4.44 minutes

It would take 4.44 minutes to fill the sink using both faucets P and faucet Q together

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Answer:

4 4/9

Step-by-step explanation:

To fulfill the request, two tasks need to be completed. First, a classified statement of marks must be prepared, displaying the marks in the correct order and format. Second, the required closing entries should be prepared, including all necessary calculations.

1) To prepare a classified statement of marks, the marks should be organized in the correct order, such as by subject or category. The statement should clearly display the marks achieved by each student, enabling easy comparison and analysis.

2) Closing entries are necessary to transfer temporary account balances to permanent accounts at the end of an accounting period. These entries help ensure that the temporary accounts are reset to zero for the next accounting period. The required closing entries typically involve transferring revenues, expenses, and dividends to the appropriate accounts. Calculations may be required to determine the closing entries, such as calculating net income or determining the dividend amount. These calculations will depend on the specific financial data and accounts involved in the accounting system being used.

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Answer:

To estimate the total weight of the pet food Adam buys, we can use benchmark fractions to compare the weight of the dog food (7/8 pound) and the weight of the cat food (1 3/4 pounds) to a benchmark fraction that we are familiar with.

We know that 1 whole pound is equal to 16 ounces. So, we can use this as a benchmark to estimate the weight of the dog food and cat food.

First, we'll convert 7/8 pound to ounces. 7/8 pound is equal to 7/8 * 16 = 14 ounces

Next, we'll convert 1 3/4 pound to ounces. 1 3/4 pound is equal to 1 * 16 + 3/4 * 16 = 16 + 12 = 28 ounces.

Now we can add the weight of the dog food and the cat food to get the total weight of the pet food Adam buys.

14 ounces + 28 ounces = 42 ounces

So, the total weight of the pet food Adam buys is approximately 42 ounces, which is roughly 2.6 pounds.

The estimate was made with benchmark fractions, which allows us to make a rough estimation of the weight of the pet food, but it's not as precise as the exact weight in pound or ounces.

The equation to determine the length and width of the rug is

28 = w² + 12w

Since, the shape of the rug is rectangle, therefore area of rectangle has been used to obtain the solution.

What is a rectangle?

Rectangle is a flat, two-dimensional shape, having four sides and vertices with opposite sides being equal and parallel. We may easily represent a rectangle in an XY plane by using its length and breadth as the arms of the x and y axes, respectively.

Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

We are given a rectangular rug with an area of 28 square feet.

Also, the rug is 12 feet longer than it is wide.

So,

Let 'l' be the length of the rug and 'w' be the width of the rug

As given, Length is 12 feet longer than its width

Therefore, l = w + 12

We know Area of rectangle = Length * Width and area is given to be 28 square feet.

So,

⇒28 = (w + 12)w

⇒28 = w² + 12w

Hence, the equation to determine the length and width of the rug is

28 = w² + 12w.

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Question: Tammy has a rectangular rug with an area of 28 square feet. The rug is 12 feet longer than it is wide.

Create an equation to determine the length and the width of the rug.

The difference between the number of correct and incorrect answers is 34.

To find the difference between the number of correct and incorrect answers, we first need to determine the number of correct answers. We know that the point score is obtained by dividing the final score by 10. In this case, the point score is 45. Since each correct answer is worth 1 point, the number of correct answers is equal to the point score. Therefore, the student answered 45 questions correctly.  

Next, we need to find the number of incorrect answers. Each incorrect answer is worth 4 1-point, so we divide the point score by 4. In this case, 45/4 equals 11.25.

Rounding to the nearest whole number, we get 11. Therefore, the student answered 11 questions incorrectly.  

Finally, we calculate the difference between the number of correct and incorrect answers by subtracting the number of incorrect answers from the number of correct answers: 45 - 11 = 34.

Thus, the difference between the number of correct and incorrect answers is 34.

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Answer:

14.43 years

Step-by-step explanation:

FV = PV (1+i)^n            

    FV = future value = 15100     PV = present value = 6000

     i = period interest in decimal  = .065/2 = =.0325

     n = periods = the question

15100 = 6000(1+.0325)^n

solve for n = 28.86 periods     or  14.43 years    (each period is 6 mos)

Answer:

x ≥ 250

Step-by-step explanation:

i think thats what it is, but i could be wrong. sorry if i am.

On solving the provided question, we can say that By the help of trigonometry the angle elevation is 45.

The area of mathematics known as trigonometry looks at how triangle side lengths and angles relate to one another. In the Hellenistic era, roughly in the third century BC, the region had its initial appearance due to the use of geometry in astronomical study.

Exact mathematics focuses on specific trigonometric functions and how calculations could employ them. There are six well-known trigonometric functions in trigonometry.

They go by a variety of names and abbreviations, including sine, cosine, tangent, cotangent, secant, and cosecant (csc). The study of triangle properties, particularly those of right triangles, is known as trigonometry. In geometry, the characteristics of every geometric figure are explored.

Let the pole's height be denoted by AB = h.

A pole's shadow will create the base BC.

Let the elevation angle be 9,

By the help of trigonometry

tan x = AB/BC

tan x = h/h = 1

x = tan^(-1)

x = 45

Hence, the angle elevation is 45

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The answer to the following algebra is;

b² at b = 4 is 16

y /5 at y = 15 is 3

27/s at s = 9 is 3

q/3 + 4 at q = 3 is 5

Algebra is the system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.

Given the following:

b² at b = 4

substitute b = 4

= 4²

= 4 × 4

= 16

y /5 at y = 15

substitute y = 15

= 15/5

= 3

27/s at s = 9

substitute s = 9

= 27/9

= 3

q/3 + 4 at q = 3

substitute q = 3

= 3/3 + 4

= 1 + 4

= 5

In conclusion, the algebraic expression is solved by substituting the value of the variables.

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Answer: The sum of two prime numbers is always even (which is composite).

Hope this helped :)

Answer:

b). 3 8/33

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

x - 54 + 32x = 53

Step 2: Solve for x

Answer:

incomplete question friend

From the question, we are given the following:

Total price before any discount = $810

Total price with the discount = $729

Discount given = $810 - $729

Discount given = $81

Since each person in the group receives a student discount, the amount of discount per person is expressed as:

Amount of discount per person = Discount/Total number of friends

Amount of discount per person = $81/9

Amount of discount per person = $9

This shows that the discount price per person is $9

Explanation is in the file

tinyurl.com/wtjfavyw

Answer:

8/40 is the correct answer