What is 3 divided by 260

Answers

Answer 1

Answer:

86.666666 or 0.01153846153

Answer 2

Answer:

0.0115

Step-by-step explanation:


Related Questions

Arthur earned $136 in three weeks. He goes back to school in one more week. He needs at least $189 to buy the coat that he wants for school. How much must Arthur earn in the next week?

Answers

Arthur must earn $53 in the next week.

Please help me calculate the proper number of significant figures, I would like to check my answers to see if this is correct based on the significant figure rules
A.) 320.80−(6101.3/1.8)320.80−(6101.3/1.8)=
B.) [(286.4×105)−(1.300×103)]×2.8951=
C.) (0.0041×26000.0)+(2811×15)=
D.) 863×[1251−(3.11×109)]=

Answers

Final answer:

To determine the proper number of significant figures in a calculation, follow the rules for addition/subtraction and multiplication/division, and round the final answer to the proper number of significant figures.

Explanation:

To determine the proper number of significant figures in a calculation, follow these rules:

Addition and subtraction: The result should have the same number of decimal places as the number with the fewest decimal places.Multiplication and division: The result should have the same number of significant figures as the number with the fewest significant figures.Rounding: Round the final answer to the proper number of significant figures.

Using these rules, the proper number of significant figures for the given calculations are:

A.) 320.80 - (6101.3 / 1.8) = 300

B.) [(286.4 x 105) - (1.300 x 103)] x 2.8951 = 839000

C.) (0.0041 x 26000.0) + (2811 x 15) = 40000

D.) 863 x [1251 - (3.11 x 109)] = -1.7742e12

I Need Help With This Question!
I Need To Draw A Plot Line

Answers

Answer:

A line plot graph will show the repetition or frequency of information or value in a number line.

This line plot graph can be used to compare numbers over a certain limit. It is a simple and quick way to order data.

Steps to draw plot graph:-

Write the number sequence in ascending order. Mark the distinct numbers in the sequence.Draw a line and mark points with that distinct numbers. Now look at the sequence and check with the diagram. When a number in the sequence matches the number in the diagram. Then mark a point above that line corresponding to that value.

Ascending order: [tex]1\frac{1}{2}, 2\frac{1}{2} ,2\frac{3}{4} ,3,3\frac{1}{2}, 3\frac{3}{4}.\\[/tex]

refer the diagram below for the answer.

A line passes through the points (8, –1) and (–4, 2). A coordinate plane. What is the y-intercept of this line?

-4
-1
1
4

Answers

Answer:

y-intercept is 1

Step-by-step explanation:

We need to find the equation of the line first.

Gradient

The gradient is found using the formula:

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

[tex]m=\frac{-1-2}{8--4}[/tex]

[tex]m=-\frac{1}{4}[/tex]

So the equation is y = [tex]-\frac{1}{4}[/tex]x + c

Finding c

To find c we need to substitute the value of x and y into the equation:

-1 = [tex]-\frac{8}{4}[/tex] + c

-1 = -2 + c

1 = c

And c is the y-intercept so it is 1

Answer:

y- intercept = 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (8, - 1) and (x₂, y₂ ) = (- 4, 2)

m = [tex]\frac{2+1}{-4-8}[/tex] = [tex]\frac{3}{-12}[/tex] = - [tex]\frac{1}{4}[/tex], thus

y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, - 1), then

- 1 = - 2 + c ⇒ - 1 + 2 = 1 ← y- intercept

doug has 45 coins worth $9.00. The coins are all quarters or dimes. How many of each type of coin dose doug have?

Answers

Doug have 30 quarters and 15 dimes.

Step-by-step explanation:

Given,

Number of coins = 45

Worth of coins = $9.00 = 9.00*100 = 900 cents

Each quarter = 25 cents

Each dime = 10 cents

Let,

x be the number of quarters

y be the number of dimes

According to given statement;

x+y=45            Eqn 1

25x+10y=900   Eqn 2

Multiplying Eqn 1 by 10

[tex]10(x+y=45)\\10x+10y=450\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](25x+10y)-(10x+10y)=900-450\\25x+10y-10x-10y=450\\15x=450[/tex]

Dividing both sides by 15

[tex]\frac{15x}{15}=\frac{450}{15}\\x=30[/tex]

Putting x=30 in Eqn 1

[tex]30+y=45\\y=45-30\\y=15[/tex]

Doug have 30 quarters and 15 dimes.

Keywords: linear equation, elimination method

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Doug has 30 quarters and 15 dimes.

Let

x = number of quarters

y = number of dimes

The total number of coins is 45. Therefore,

Total number of coins:x + y = 45

Total amount of the coins is $9. Therefore,

Total cost of the coins:0.25x + 0.1y = 9

Therefore,

x + y = 45

0.25x + 0.1y = 9

0.1x + 0.1y = 4.5

0.25x + 0.1y = 9

0.15x = 4.5

x = 4.5 / 0.15

x = 30

y = 45 - 30

y = 15

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Find the total surface area for the figure to the nearest tenth

65.3 m^2

104.6 m^2

98.2 m^2

94.4 m^2

Answers

The answer is D. 94.4^2

((Hopefully I helped))

What is -3(y+3)=9x in slope-intercept form?

Answers

Answer:

Y= -3x - 3

Step-by-step explanation:

-3*y= -3y

-3*3= -9

-3y - 9= 9x

-3y= 9x + 9

(9x +9)/-3

y= -3x - 3

The store offers a 20% discount. If the regular price of an item is x dollars, what is the discount price in dollars?

Answers

Answer:

3.28

Step-by-step explanation:

You want to find the discount price. Set a relation to where the well i cant really explain it but do 20/100 = x/16.40  because 100% of the price is 16.40 dollars. You want to find 20% of that so you find what you multiply to 100 to get 16.40 which is 6.0975. Then you do the same thing for the 20% to find 20% of the price which is 3.28. sorry im trash at explaining but i hope i helped.

Answer:

3.28

Step-by-step explanation:

im pretty darn sure this is right lol

Simplify =(3-2)x+2y+2

Answers

Answer:

x + 2y + 2

Step-by-step explanation:

1. Simplify 3 − 2 to 1

1 · x + 2y + 2

2. Simplify 1 · x to x

x + 2y + 2

Madison is riding her horse around the outside of a circular arena.she knows 14 laps is 1/2 a mile what is the diameter of the arena

Answers

Answer:

The diameter of the arena is 18.3 meters.

Step-by-step explanation:

        As,  14 laps = [tex]\frac{1}{2}[/tex] mile

        so, 1 lap = [tex]\frac{1}{28}[/tex] mile                               ( ∵14 × 2 = 28)

For the horse completing one lap it completes the perimeter of the circle.

            perimeter (P) =  [tex]\frac{1}{28}[/tex] mile

let diameter of that circle be represented as d,

                                  P=  [tex]\pi[/tex] × d

                            or,  [tex]\frac{1}{28}[/tex]  = [tex]\pi[/tex] × d

                            or, d= [tex]\frac{1}{28\pi }[/tex]

                              ∴ d= 18.3 meters.

The diameter of the arena is 18.3 meters.

Find the quotient 7/8 divided 3/8

Answers

Step-by-step explanation:

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

7/8 x 8/3 = ?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

7 x 8

8x3

56/24

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 56 and 24 using

GCF(56,24) = 8

56/8 = 7

24/8 = 3

The fraction 7/3 is the same as 7 divided by 3

Convert to a mixed number using long division for 7 ÷ 3 = 2R1, so

Therefore:

7/3 = 2 1/3

2 1/3

The required quotient is 7/3 when 7/8 is divided by 3/8.

What is the Quotient?

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

The division operation is given in the question following as:

⇒ 7/8 ÷ 3/8

We have to determine the quotient when 7/8 is divided by 3/8

As per the given question, we have

⇒ 7/8 ÷ 3/8

⇒ (7/8) / (3/8)

Reciprocal the terms in the numerator, and we get

⇒ (7/8) × (8/3)

Apply the multiplication operation,

⇒ 56/24

Reduce the above fraction to the simplest form

⇒ 7/3

Therefore, the required quotient is 7/3 when 7/8 is divided by 3/8.

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Casey has a collection of 39 amusement park pins. The pins are from an amusement park in Florida and an amusement park in Virginia. There are twice as many pins from the amusement park in Florida. How many pins are from the amusement park in Virginia?

Answers

Answer:

13 pins

Step-by-step explanation:

2x=Florida

x=Virginia

39=2x+x

39=3x

÷3 ÷3

13=x

26 pins are from city V.

Let,

x = number of pins from city F.

y = number of pins from city V.

According to the question:

[tex]x+y=39\\y = 2x[/tex]

Solving them, [tex]x = 13, y=26[/tex]

So 26 pins are from city V.

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josh's grandfather gave him one penny on the day he was born. he plans to double the amount he gives Josh every day. estimate how much Josh will recieve from his grandfather on the 15th day.

Answers

Answer: 32767 pennies

13800000rkkhvvjbccgbdbc

Which of the following has a solution set of {x | x = 0}?

(x + 1 < -1) ∩ (x + 1 < 1)
(x + 1 ≤ 1) ∩ (x + 1 ≥ 1)
(x + 1 < 1) ∩ (x + 1 > 1)

Answers

Answer:

(b)  (x + 1 ≤ 1) ∩ (x + 1 ≥ 1) =  {x | x = 0}

Step-by-step explanation:

Here, the given expression is : {x | x = 0}

So, the ONLY element in the given set = {0}

Now, take each option and solve the given expression:

(a)  x + 1 < -1

Adding -1 BOTH sides, we get:

x + 1 -1 < -1  -1

or, x < - 2 ⇒ x = { -∞ , .... , -4,-3}

Also,   x + 1 < 1

Adding -1 BOTH sides, we get:

x + 1 -1 < 1  -1

or, x <0 ⇒ x = { -∞ , .... , -4,-3,-2,-1}

So, (x + 1 < -1) ∩ (x + 1 < 1) =  { -∞ , .... , -4,-3}∩ { -∞ , .... , -4,-3,-2,-1}  

=  { -∞ , .... , -4,-3}

(x + 1 < -1) ∩ (x + 1 < 1) ≠ {0}

Similarly, solving

(b) (x + 1 ≤ 1) ∩ (x + 1 ≥ 1)

(x + 1 ≤ 1) =  x≤ 0 =   { -∞ , .... , -4,-3,-2,-1, 0}

(x + 1 ≥ 1) =  x ≥ 0 =  {0,1,2,3,... ∞}

⇒ (x + 1 ≤ 1) ∩ (x + 1 ≥ 1) = {0}

(b)(x + 1 < 1) ∩ (x + 1 > 1)

(x + 1 < 1) =  x <  0 =   { -∞ , .... , -4,-3,-2,-1}

(x + 1 > 1) =  x  > 0 =  { 1,2,3,... ∞}

(x + 1 ≤ 1) ∩ (x + 1 ≥ 1) = Ф

Hence,  (x + 1 ≤ 1) ∩ (x + 1 ≥ 1) =  {x | x = 0}

(x + 1 ≤ 1) ∩ (x + 1 ≥ 1) =  {x | x = 0}

I need help it with this it also has three parts to it. Wayne another painter is mixing paint. He makes six quarts of brown paint by mixing equal quantities of yellow paint and violet paint. The violet paint is made from one-third red paint and two-thirds blue paint

1.How much red paint does he use?

2. How much blue paint does he use?

3. What percentage of the brown paint is made from blue paint?

Answers

Answer:

a)  1 quart

b)  2 quarts

c)  33.33 % of the brown paint is made of blue paint

Step-by-step explanation:

6 quarts brown paint =  1/2 of yellow paint and 1/2 violet paint

violet paint = 1/3 red paint 2/3 blue paint

then

6 quarts brown paint =  1/2 of yellow paint and 1/2 (1/3 red paint and 2/3 blue paint)

or

6 quarts brown paint = 1/2 of yellow paint , (1/2*1/3) red paint and (1/2*2/3) blue paint

6 quarts brown paint = 1/2 of yellow paint , 1/6 red paint and 1/3 blue paint

then

a) he uses 1/6 of 6 quarts to make red paint = 1/6*6 = 1 quart

b) he uses 1/3 of 6 quarts to make red paint = 1/3*6 = 2 quarts

c) brown paint is made with 1/3 of blue paint = 33.33 % of the brown paint is made of blue paint

Renna pushes the elevator button, but the elevator does not move. The mass limit for the elevator is
450 kilograms (\text{kg}kgstart text, k, g, end text), but Renna and her load of identical packages mass a total of 620\,\text{kg}620kg620, start text, k, g, end text. Each package has a mass of 37.4\,\text{kg}37.4kg37, point, 4, start text, k, g, end text.

Answers

Answer:

Whats the full question ?

Step-by-step explanation:

Answer:

37.4p  ≥ 170

5 packages

Step-by-step explanation:

The inequality is:

37.4p  ≥ 170

Renna needs to remove a minimum of 555 packages from the elevator to meet the mass requirement.

Also the answer above is not ok to do.

Saying random things just for the points is wrong.

Instead you can say it where it says comment under the question

Hope this helps ;)

Solve for the intersection point
2x+3y=-6
-2x+3y=-18

Answers

Answer:

(3,-4)

Step-by-step explanation:

A rectangular window in a door is 30 inches tall. If the area of the window is 300 square inches, how wide is the window?

Answers

10 inches

(300 square inches devided by 30 inches)

it is 10 inches wide!

explanation:

300/30=10

What is the volume, in cubic inches, of the baseball ?

Answers

Answer:

 The volume of a baseball is about 13.39 cubic inches.

Step-by-step explanation:

100 POINTS!!!
1) What is the sum of the linear expressions?
3x + 9 and 2x + 4
2) Add the linear expressions:
2n + 6 and 6n - 2
3) Add the linear expressions. -3x + 9 and 6x - 12
4) Add the linear expressions: 1/4x + 10 and 1/2x - 7
5) Find the difference: (3x + 5) - (2x +2)
6) Subtract 8 from 10
7) Subtract 2.5x from 7.8x.
8) Subtract (3.4x + 8) from (5.8x + 10)
9) Find the difference: (8x + 5) - (2x + 8)
10) Evaluate & explain how you arrived at your answer: (-4x -3) - (-4x -3)

Answers

Answer & Step-by-step explanation:

[tex]1)\\(3x+9)+(2x+4)\qquad\text{combine like terms}\\\\=(3x+2x)+(9+4)\\\\=\boxed{5x+13}\\\\===========================[/tex]

[tex]2)\\(2n+6)+(6n-2)\qquad\text{combine like terms}\\\\=(2n+6n)+(6-2)\\\\=\boxed{8n+4}\\\\===========================[/tex]

[tex]3)\\(-3x+9)+(6x-12)\qquad\text{combine like terms}\\\\=(-3x+6x)+(9-12)\\\\=\boxed{3x-3}\\\\===========================[/tex]

[tex]4)\\\left(\dfrac{1}{4}x+10\right)+\left(\dfrac{1}{2}x-7\right)\qquad\text{combine like terms}\\\\=\left(\dfrac{1}{4}x+\dfrac{1}{2}x\right)+(10-7)\\\\=\left(\dfrac{1}{4}x+\dfrac{1\cdot2}{2\cdot2}x\right)+3\\\\=\left(\dfrac{1}{4}x+\dfrac{2}{4}x\right)+3\\\\=\boxed{\dfrac{3}{4}x+3}\\\\===========================[/tex]

[tex]5)\\(3x+5)-(2x+2)\\\\=3x+5-2x-2\qquad\text{combine like terms}\\\\=(3x+2x)+(5-2)\\\\=\boxed{5x+3}\\\\===========================[/tex]

[tex]6)\\10-8=\boxed{2}\\\\===========================[/tex]

[tex]7)\\7.8x-2.5x=\boxed{6.3x}\\\\===========================[/tex]

[tex]8)\\(5.8x+10)-(3.4x+8)\\\\=5.8x+10-3.4x-8\qquad\text{combine like terms}\\\\=(5.8x-3.4x)+(10-8)\\\\=\boxed{2.4x+2}\\\\===========================[/tex]

[tex]9)\\(8x-2)-(2x+8)\\\\=8x-2-2x-8\qquad\text{combine like terms}\\\\=(8x-2x)+(-2-8)\\\\=\boxed{6x-10}\\\\===========================[/tex]

[tex]10)\\(-4x-3)-(-4x-3)\\\\=-4x-3-(-4x)-(-3)\\\\=-4x-3+4x+3\qquad\text{combine like terms}\\\\=(-4x+4x)+(-3+3)\\\\=0+0\\\\=\boxed{0}\\\\\text{You could do it shorter.}\\\text{The result will be 0 because we subtract}\\\text{ the same expressions from each other.}[/tex]

To add or subtract linear expressions, combine like terms. For example, to add 3x + 9 and 2x + 4, you combine the x terms and the constant terms separately to get 5x + 13. The same method is applied to the rest of the problems, resulting in simplified linear expressions.

Adding and Subtracting Linear Expressions:

To add or subtract linear expressions, you combine like terms, which are terms that have the same variables raised to the same power. Let's go through the problems one by one:

Sum of 3x + 9 and 2x + 4: (3x + 2x) + (9 + 4) = 5x + 13.

Add 2n + 6 and 6n - 2: (2n + 6n) + (6 - 2) = 8n + 4.

Add -3x + 9 and 6x - 12: (-3x + 6x) + (9 - 12) = 3x - 3.

Add 1/4x + 10 and 1/2x - 7: (1/4x + 1/2x) + (10 - 7) = 3/4x + 3.

Find the difference: (3x + 5) - (2x +2) = (3x - 2x) + (5 - 2) = x + 3.

Subtract 8 from 10: 10 - 8 = 2.

Subtract 2.5x from 7.8x: 7.8x - 2.5x = 5.3x.

Subtract (3.4x + 8) from (5.8x + 10): (5.8x - 3.4x) + (10 - 8) = 2.4x + 2.

Find the difference: (8x + 5) - (2x + 8) = (8x - 2x) + (5 - 8) = 6x - 3.

Evaluate (-4x -3) - (-4x -3): (-4x + 4x) - (-3 + 3) = 0x + 0 = 0.

These are the simplified forms of the linear expressions after combining like terms.

A rocket is travelling at a speed of 21,000 miles per hour (mph). Use the fact that 1 km is approximately equal to 0.6214 miles to convert this speed to kilmeters per hour (km/h

Answers

Answer:

33,793.2 Kilometers per hour :3

Speed of rocket in kilometer in 13,049.4 miles

Speed in miles:

Given that;

Speed of rocket = 21,000 miles per hour

Miles in 1 kilometer = 0.6214 miles

Find:

Speed of rocket in kilometer

Computation:

Speed of rocket in kilometer = Speed of rocket × Miles in 1 kilometer

Speed of rocket in kilometer = 21,000 × 0.6214

Speed of rocket in kilometer = 13,049.4 miles

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To the nearest​ millimeter, a cell phone is 82 mm long and 36 mm wide. What is the ratio of the width to the​ length?
Please I need the answer

Answers

The ratio of the width to the​ length of a cell phone is 18 : 41.

Step-by-step explanation:

Given,

The length of a cell phone(l) = 82 mm  and

The width of a cell phone(b) = 36 mm

Find, the ratio of the width to the​ length of a cell phone = ?

∴ The ratio of the width to the​ length of a cell phone

= 36 mm : 82 mm

= 36 : 82

Divided by 2, we get

= [tex]\dfrac{36}{2}[/tex] : [tex]\dfrac{82}{2}[/tex]

= 18 : 41

Thus, the ratio of the width to the​ length of a cell phone is 18 : 41.

What is the slope of the line that passes through the points (3,3) and (-3,-1).

Answers

Answer:

2/3

Step-by-step explanation:

-1 - 3 = - 4

-3 - 3 = - 6

-4/-6 = 2/3

[tex]\text{Use the slope formula:}\\\\\frac{y2-y1}{x2-x1}\\\\\text{Plug in your coordinates:}\\\\\frac{-1-3}{-3-3}\\\\\text{Solve:}\\\\\frac{-1-3}{-6}\\\\\frac{-4}{-6}\\\\\boxed{\frac{4}{6}}[/tex]

11. In 2007, the United States Mint

began circulating $1 coins with past

Presidents of the United States on

them. New $1 coins for 4 Presidents

are released each year. How many

years will it take for $1 coins to be

released for the first 36 Presidents?

Write a number sentence to

Answers

Answer:

if $1 coin is for 4 presidents ,then

the number of years it will take to release the the 36 first presidents is given by[tex]\frac{36}{4}=9 years[/tex]

Step-by-step explanation:

step 1: you lay down preliminaries

step 2: you divide 36 presidents by 4 presidents per year, the result is the number of years it will take to publish the first 36 presidents.

Which binomial is a factor of 49x2 + 84xy + 36y2?
A. 7x+ 6y
B. x-6y C. X+ 6y
D. 7x- by​

Answers

Answer:

A. 7x + 6y

Step-by-step explanation:

49x² + 84xy + 36y²

Factoring the perfect square:

(7x + 6y)²

7x + 6y is a factor.

Final answer:

The correct binomial factor of the quadratic expression  [tex]49x^2 + 84xy + 36y^2 \ is \ 7x + 6y[/tex], which corresponds to option A.

Explanation:

To determine which binomial is a factor of the quadratic expression  [tex]49x^2 + 84xy + 36y^2,[/tex]we can try to factor the expression by grouping or using the factoring technique of a perfect square trinomial. On inspection, we see that 49, 84, and 36 are all multiples of 7, and also the expression resembles the square of a binomial.

The given expression can be written as:

[tex](7x)^2 + 2(7x)(6y) + (6y)^2[/tex]

This is the expanded form of the square of a binomial:

[tex](7x + 6y)^2 = 49x^2 + 84xy + 36y^2[/tex]

Hence, the factored form of the given expression is  [tex](7x + 6y)^2[/tex], which means that 7x + 6y is indeed a factor. So, the correct answer is option A.

Please do 24 26 28 30

Answers

Answer:

its increasing by 2,u can think of it as taking away the 2 in the ones place and skip counting by 2 like your in the ones place

Explain how to use the distributive property to find an
expression that is equivalent to 20 + 16.

Answers

Answer:

4(5+4)

Step-by-step explanation:

Answer:

Sample Response: First, I would find that the GCF of 20 and 16 is 4. Then, I would divide both 20 and 16 by 4. Last, I would use the distributive property to write the sum as 4(5 + 4).

Step-by-step explanation:

The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations?
3 x + 13 y = 14. 6 x + 11 y = negative 2.
4 x + 5 y = 12. 8 x + 3 y = negative 4.
5 x + 4 y = 12. 7 x + 8 y = 12.
10 x + 3 y = 8. 17 x + 6 y = 10.

Answers

Answer:

[tex]3x+13y=14\\\\6x+11y=-2[/tex]

Step-by-step explanation:

We have to check [tex](-4,2)[/tex] satisfies which system.

First System:

[tex]3x+13y=14\\\\6x+11y=-2\\\\Substitute\ (-4,2)\ in\ the\ equations\\\\3\times (-4)+13\times (2)=14\\\\-12+26=14\\\\14=14\\\\6\times (-4)+11\times (2)=-2\\\\-24+22=-2\\\\-2=-2\\\\(-4,2) \ satisfies\ this\ system\ of\ equation.\ Hence\ (-4,2)\ is\ the\ solution\ of\ this\ system.[/tex]

Second System:

[tex]4x+5y=12\\\\8x+3y=-4\\\\Substitute\ (-4,2)\\\\4\times (-4)+5\times (2)=-6\\\\-6\not=12\\\\(-4,2)\ does\ not\ satisfies\ the\ system\ hence\ it\ in\ not\ a\ solution\ of\ this\ system.[/tex]

Third System:

[tex]5x+4y=12\\\\7x+8y=12\\\\Substitute\ (-4,2)\\\\5\times (-4)+4\times (2)=-12\\\\-12\not =12\\\\(-4,2)\ does\ not\ satisfies\ the\ system\ hence\ it\ in\ not\ a\ solution\ of\ this\ system.[/tex]

Fourth System:

[tex]10x+3y=8\\\\17x+6y=10\\\\Substitute\ (-4,2)\\\\10\times (-4)+3\times (2)=-34\\\\-34\not =8\\\\(-4,2)\ does\ not\ satisfies\ the\ system\ hence\ it\ in\ not\ a\ solution\ of\ this\ system.[/tex]

Answer:

3x+13y=14\\\\6x+11y=-2

Step-by-step explanation:

there were 20 members in thr running club in september. the membership increased to 25 in october. the membership decreased back to 20 in november. what was the percent decrease from october to november?

Answers

There was a decrease of 20% in membership from October to November.

Step-by-step explanation:

Step 1; To find the percent by which the running clubs membership decreased we must find the difference between the number of members in October and the number of members in November. The number of members in the club in October was 25 whereas it reduced to 20 in the month of November.

Difference in members = Number of members in October -Number of members in November = 25 - 20 = 5

Step 2; To find the percent decrease in number of members in the running club, we divide the difference in number of members by the number of members in November . We multiply this value by 100 to get it in terms of percentage.

Percent decrease in number of members =(Difference in members / number of members in November) *100

                                                                      = (5/25) * 100 = 0.20 * 100 = 20%

So number of members in the club decreased by 20% from October to November.

What is the measure of angle X? 56° 41°

Answers

Question:

What is the measure of angle X?

The image of the measurements is attached below:

Answer:

The measure of angle x is 83°

Explanation:

Since, Vertical angles have equal measure,

Let us consider that the angle opposite to 41° is ∠y and they are equal.

i.e, ∠y = 41°

Since, the angles in a straight line add up to 180°, we have,

∠x + ∠y + 56° = 180°

Substituting the value ∠y = 41°, we have,

∠x + 41° + 56° = 180°

Adding the terms, we get,

∠x + 97° = 180°  

Subtracting both sides by 97°, we get,

∠x = 83°

Thus, the measure of ∠x is 83°

Answer:

83 degrees

Step-by-step explanation:

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