Figure 6.21
From knowledge of the sum of the angles
at a point.
b By calculating the sizes of the angles of a
regular octagon using the (n - 2) × 180°
formula​

Answer:

children take 3 pieces of candy are 6

Step-by-step explanation:

x+y=19-1          x+y=18

3x+5y=85-7    3x+5y=78

eliminate x by multiplying the first equation by 3:

3x+3y=54

3x+5y=85   subtract

(3x+3y)-(3x+6y)=54-78

3x-3y-3x-5y=-24

-2y=-24         y=-24/-2=12

y=12 , substitute for y:

x+y=18

x=18-12

x=6

check: 3x+5y=78

3(6)+5(12)=78

18+60=78 correct

Answer:

- 6

Step-by-step explanation:

[tex]f(x) = {x}^{2} + 4x - 3 \\ \: plug \: x = - 1 \\ f( - 1) = {( - 1)}^{2} + 4( - 1)- 3 \\ f( - 1) = 1 - 4- 3 \\ f( - 1) = 1 - 7 \\ \huge \red{ \boxed{ f( - 1) = - 6}} \\[/tex]

Answer:

5d+4

Step-by-step explanation:

[tex]Total = d + (4d + 4)\\Total = 5d + 4[/tex]

Hope it helps ;P

Complete Question:

To create a bulletin board, Maryann is planning to stretch fabric from burlap sacks over cardstock. She collects 6 kg of burlap sacks. The area density of the burlap is 0.4 kg/m².

Maryann's friends loved her bulletin board , and 4 of them asked her to make one for their homes. She offered to make each of her friends a replica of her bulletin board that measures 2 meters by 3 meters . How many kilograms of burlap should Maryann collect to complete the bulletin boards for her friends?

Answer:

To complete the bulletin boards for her friends, Maryanne should collect 6 kg of burlap more

Step-by-step explanation:

Mass of burlap sacks that Maryann collects = 6 kg

Area density of burlap = 0.4 kg/m²

Area Density = Mass / Area........(1)

The Area of bulletin board that can be made with the 6 kg of burlap sand can be calculated by using equation (1)

0.4 = 6 / Area

Area = 6/0.4

Area of bulletin board that can be made from 6 kg= 15 m² of bulletin board  

The area of bulletin board that Maryann made for herself = 2 * 3 = 6m²

To make similar bulletin boards for her four friends, the total area of bulletin board made for her 4 friends = 6 * 4 = 24m²

To calculate the mass of burlap required to make a 24m² bulletin board, use equation (1)

0.4 = Mass / 24

Mass = 0.4 * 24

Mass = 9.6 kg

The mass of burlap used to make Maryann's bulletin board alone:

0.4 = Mass/6

Mass = 2.4 kg

Out of the 6kg that she got, she has used 2.4 kg for herself

The remaining mass of burlap = 6 - 2.4 = 3.6 kg

Therefore, to complete the bulletin board for her friend, she should collect (9.6 - 3.6) = 6 kg of bulletin more

Answer: (x+2) and (x-6) represents the side lengths.

Step-by-step explanation:

The area of the rectangle is [tex]x^{2} -4x -12[/tex] so in this case to find the side lengths we need to factor out the area.

To factor [tex]x^{2} -4x-12[/tex]  We need to find two numbers that if we multiply together we will have -12 and if we add those two number we will get -4.

-6 and 2 works out  

Because -6 * 2 = -12 and -6 +2 = -4

Now we will rewrite the area as

[tex]x^{2}[/tex] +2x - 6x -12   Group them  

([tex]x^{2}[/tex] +2x) (-6x -12)  factor them

x (x +2)  -6(x+2)  factor out x+2

(x+2)(x-6)  Done!

Answer: The correct answer is A (x+2)(x-6) on Edg 2020;)

Answer:

n = 25

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and is:

Parenthesis

Exponents & roots

Multiplication

Division

Addition

Subtraction

~

First, subtract 7 from both sides:

(-1/5)n + 7 (-7) = 2 (-7)

(-1/5)n = 2 - 7

(-1/5)n = -5

Next, multiply -5 from both sides:

(-1/5)(-5)n = (-5)(-5)

n = -5 * -5

n = 25

25 is your answer for n.

~

Answer: n = 25

Step-by-step explanation: In this equation, our first step is to isolate the n term by subtracting 7 from both sides.

On the left, +7 -7 cancels and we're left with -1/5n.

On the right, 2 - 7 simplifies to -5.

So we have -1/5n = -5.

In order to get n by itself, since it's being multiplied by a fraction,

we multiply both sides of the equation by the reciprocal of that fraction.

The reciprocal of -1/5 is -5/1.

So we multiply both sides of the equation by -5/1.

So we have (-5/1)(-1/5n) = -5(-5/1).

On the left, our 1's cancel and our 1's cancel.

Also, remember that a negative times a negative is a positive.

So on the left we are left with n.

On the right, -5(-5/1) is 25.

So n = 25.

Answer:

2.2

Step-by-step explanation:

2.2 units to the right of zero indicates that the integer is positive on a horizontal number line.

0 + 2.2 = 2.2

Answer:

20a² + a

= a(20a + 1)

Step-by-step explanation:

2a + 5a × 4a - a

= 2a + 20a² - a

= 20a² + a

Answer:

The paint will not fill the tray by 5.22 in³.

Step-by-step explanation:

V = L × W × H

5 cm → in = 1.9685

V = 12 × 10 × 1.9685

V = 236.22 in³

Available Amount of Paint - 231 in³

236.22 in³ - 231 in³ = 5.22 in³

Hope this helps! :)

Work Shown:

Josh:

1 room = m hours

1/m room = 1 hour

Kevin:

1 room = n hours

1/n room = 1 hour

We see that the rates for Josh and Kevin are 1/m and 1/n respectively. This is the amount of a room they paint in one hour. Combine the fractions

1/m + 1/n = n/(mn) + m/(mn) = (n+m)/(mn) = (m+n)/(mn)

The expression (m+n)/(mn) represents how much of the room they get painted in 1 hour. This is if they work together and it assumes neither worker slows the other one down.

Answer: 2) 1767.1

Step-by-step explanation:

For a sphere, V=(4 /3)πr^3.  A diameter is 2r.  Thus the radius of the circle is 7.5 inches.  Thus, the volume is about 1767.15.

Hope it helps <3

Answer:

P=.14 or 1/7

Step-by-step explanation:

P(d)=3/35

P(f)=2/35

P( D or F) = 3/35 + 2/35=

1/7 or .14

Answer:

C. Mason goes on vacation with her family for 4 days. Each morning, she bikes 6 kilometers to the donut shop and then 3 more kilometers to the swimming hole. She rides home from the swimming hole in her mom's car. How many kilometers does Mason bike on vacation?

Step-by-step explanation:

For A., the equation would be 4 + 6 - 3

For B., the equation would be 3 x (6 + 4)

So our only option is C.

For C., the equation would be 4 x (6 + 3)

━━━━━━━☆☆━━━━━━━

▹ Answer

C. Mason goes on vacation with her family for 4 days. Each morning, she bikes 6 kilometers to the donut shop and then 3 more kilometers to the swimming hole. She rides home from the swimming hole in her mom's car. How many kilometers does Mason bike on vacation?

▹ Step-by-Step Explanation

The equation for A would be → 4 + 6 -3

The equation for B would be → 3 × (6 + 4)

The equation for C would be → 4 × (6 + 3)

Therefore, C is the correct answer.

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

18

Step-by-step explanation:

Plug in the values.

3(4) - 2(-3)

12 - - 6

12 + 6

= 18

Answer:

18

Step-by-step explanation:

[tex]3x - 2y \\ = 3 \times 4 - 2 \times (-3) \\ = 12 + 6 \\ = 18[/tex]

Answer:

12

Step-by-step explanation:

2+2+1+1+6=12

Answer:

Triangle E, F, G and Triangle T, U, V.

Step-by-step explanation:

They both are congruent because have the same shape, same size, and they both mirror each other.

Answer:

Triangle EFG and triangle TVU

Step-by-step explanation:

You must use congruent segments and keep track of the corresponding sides and vertices.

Triangle EFG and triangle TVU

Answer:

m = - 4

Slope of function = - 4

Step-by-step explanation:

m = slope of function

Two points on slope = ( - 4 , - 2 ) , ( - 2 , - 10 )

m = ( y1 - y2 ) / ( x1 - x2 )

y1 = - 2

y2 = - 10

x1 = - 4

x2 = - 2

m = [ ( - 2 ) - ( - 10 ) ] / [ ( - 4 ) - ( - 2 ) ]

m = ( - 2 + 10 ) / ( - 4 + 2 )

m = 8 / - 2

m = - 4

Therefore:

Slope of function = - 4

The slope of a line indicates how steep it is calculated mathematically as "rise overrun". It calculates the rate where the variable y changes when the relevant variable changes, and the further calculation can be defined as follows:

Given Points:

[tex]\bold{( - 4 , - 2 ) \ \ and \ \ ( - 2 , - 10 )}[/tex]

To find:

slope (m)=?

Solution:

[tex]\bold{( - 4 , - 2 ) \ \ and \ \ ( - 2 , - 10 )}[/tex]

[tex]\to \bold{x_1=-4}\\\\ \to \bold{y_1= -2}\\\\\to \bold{x_2= -2}\\\\\to \bold{y_2= -10}\\\\[/tex]

Using formula:

[tex]\bold{slope\ (m) = \frac{( y_2 - y_1 )}{( x_2 - x_1 )}}[/tex]

                 [tex]\bold{=\frac{-10-(-2)}{-2-(-4)}}\\\\\bold{=\frac{-10+2}{-2+4}}\\\\\bold{=\frac{-8}{2}}\\\\\bold{=-4}\\\\[/tex]

Therefore,  the slope is "- 4".

Learn more:

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Answer:

y is equal to 50 degrees.

Step-by-step explanation:

The sum of the angles of a triangle is always 180 degrees.  To find what y is, subtract 80 from 180 and divide the difference by 2.  This will give you 50 degrees.

Answer:

y= 50°

Step-by-step explanation:

∠A =∠B = y. So, ΔABC is an isosceles triangle.

Sum of angles of triangle = 180

∠A + ∠B + ∠C = 180

y + y + 80 = 180   {add like terms}

2y + 80 = 180  {Subtract 80 from both sides}

2y + 80 - 80 = 180 - 80

2y = 100   {divide both sides by 2}

2y/2 = 100/2

y= 50°

Answer:

A

Step-by-step explanation:

99/479

formula: girls in action divided by everyone

Answer:

A.

Step-by-step explanation:

Since range is y-axis based, we are looking at the y-values. We see that the endpoints of the graphed segment are closed points, so they are included in the range. That eliminates B (exludes values) and C (Not infinity, it's a segment, not a line). Choice A is the best answer because when you identify the y-values, you get -8 to -3 included.

Hey there! :)

Answer:

16 minutes.

Step-by-step explanation:

Create an equation in the form y = mx + b to solve this problem. Begin by solving for the rate of change of the table using the slope formula:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Plug in values from the table into the equation:

[tex]m = \frac{64 - 40}{9 - 5}[/tex]

Simplify:

[tex]m = \frac{24}{4}[/tex]

m = 6.

Plug in the slope and a point from the table into the equation

y = mx + b

40 = 6(5) + b

40 = 30 + b

40 - 30 = b

b = 10.

Rewrite the equation:

y = 6x + 10

To solve for how long it took her to ride 1 km, plug 1 into the equation:

y = 6(1) + 10

y = 6 + 10

y = 16 minutes.

Answer:

Number 3 does not have a solution

Step-by-step explanation:

Answer:

See below in bold.

Step-by-step explanation:

1. x^2 - 13x - 30

We need 2 numbers whose product is -30 and whose sum = -13.

They are  -15 and + 2:

Answer is (x - 15)(x + 2).

2.   2x^2 + 4x - 126

First we can take 2 out to give:

2(x^2 + 2x - 63)

Now we need 2 numbers whose product is - 63 and sum = +2.

These are +9 and - 7 so

Answer is  2(x - 7)(x + 9).

3. -30x^3 + 3x^2 + 9x

First we can take out -3x to give

-3x(10x^2 - x - 3)

Now we want  2 numbers whose product is 10*-3  = -30 and whose sum is -1. They are  -6 and +5 so we write the above as:

-3x(10x^2 + 5x - 6x - 3)

Now we factor the parentheses by grouping:

= -3x( 5x(2x + 1) - 3(2x + 1)

= -3x(2x + 1)(5x - 3)  Answer.

The answer to the second part is 12x^2 - 13x - 21.

Part 3

1, 18.

2. 6.

3. = 5(2(-3)^2 - 3*3*4 + 4^2) - 3)) - 2(-3)(-3 + 7(4) - 1) - 3*4^2

=  5*(67) - 2(72) - 48

= 143.

4.  (11m^2 - 7) - (6m^2 + 3m - 11) + (3m^2 - m - 9)

= 11m^2 - 7 - 6m^2 - 3m + 11 + 3m^2 - m - 9

=  8m^2 - 4m - 5

A = 8, B = 4 and C = 5.

Answer:

hope it will help uh.....

Answer:. An equation is a mathematical statement that shows the equal value of two expressions while an inequality is a mathematical statement that shows that an expression is lesser than or more than the other. 2. An equation shows the equality of two variables while an inequality shows the inequality of two variables.

Step-by-step explanation:

Answer: 926.7°C

Step-by-step explanation:

1700°F=926.7°C

(1700°F-32)•5/9=926.667°C

926.667°C rounded to one decimal place 926.7°C

The jeweler needs 926.7 °C temperature to melt 18-karat gold.

Temperature is a measurement to observe heat. The S.I. unit of temperature is Kelvin.

Given that,

Melting point of 18-karat gold is 1700 Fahrenheit

To convert Fahrenheit into Celsius, use formula,

C = 5/9(F-32),

C=5/9(1700-32)

C=5/9×1668

C=926.666

The required temperature in Celsius is 926.7 °C.

To know more about Temperature on :

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Answer:

18) a. X

19) d. 69°

Step-by-step explanation:

18) A reflection is a transformation where an image is flipped over a line. So V will still be in the same place, it will just be flipped over line B. The only answer that makes sense in X.

19) All the angles in the picture are vertical angles. Vertical angles are angles that are across from each other when two lines cross and they are always equal.

The angle opposite the angle that is 78° is also 78°.

The angle opposite the angle that is 33° is also 33°.

The three angles form a straight line so:

78° + 33° + x = 180°

111° + x = 180°

x = 69°

Since the angle is a vertical angle and is opposite angle a, angle a will also be 69°.

Hope this helps. :)

Answer:

a₇ = - 0.4

Step-by-step explanation:

The n th term of a geometric progression is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 6250 and r = [tex]\frac{1250}{-6250}[/tex] = - [tex]\frac{1}{5}[/tex] , thus

a₇ = - 6250 × [tex](-\frac{1}{5}) ^{6}[/tex]

    = - 6250 × [tex]\frac{1}{15625}[/tex] = - [tex]\frac{6250}{15625}[/tex] = - 0.4

Answer:

6[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

4x-12 = x+7

4x-12+12 = x+7+12

4x = x+19

4x-x = x+19-x

3x=19

x = 6[tex]\frac{1}{3}[/tex]

And if we substitute the value of x into the equation 4x-12 = x+7,

we will get 13[tex]\frac{1}{3}[/tex] = 13[tex]\frac{1}{3}[/tex] in the end.

Hope this helps :)

Answer:

[tex]39.8^{\circ} C[/tex]

Step-by-step explanation:

We are given that the temperature each hour in Elma Texas on October 1 is modelled by the equation

[tex]t(h)=10cos(15h-10)^{\circ}+30[/tex]

Where h=Hour of the day with 0 meaning midnight

t=Temperature in degree Celsius

We have to find the temperature on October 1.

Substitute h=0

[tex]t(0)=10cos(15(0)-10)+30[/tex]

[tex]t(0)=10cos(-10)+30[/tex]

[tex]t(0)=39.8^{\circ} C[/tex]

Hence, the temperature in Elma on October 1=[tex]39.8^{\circ} C[/tex]