the sum of 5 angles of an octagon is 840. What measures of the remaining 3 angles if they are congruent to one another?

Answer:

The expected rate of return is $442.5

Step-by-step explanation:

The expected rate of return is given by the following formula;

[tex]E[R] = \displaystyle\sum_{i=1}^n R_i \times P_i[/tex]

Where;

E[R] = The expected return

[tex]R_i[/tex] = The return received in the instance i

[tex]P_i[/tex] = The probability for obtaining the return, [tex]R_i[/tex], in the instance i

n = The number of instances for the calculation

Therefore, we have;

The expected rate of return E[R] = 0.3 × 200 + 0.5×415 + 0.2 × 875 = $442.5

Answer the answer is D 12.6%

Step-by-step explanation:

Answer:

12 (p/2 + 17.50) = 750 equation can be used to get regular price of enrollment.

Step-by-step explanation:

So when a new student gets enrolled by paying a $17.50 application fee and gets a value of price halved at p/2

where p = regular price of enrollment

So in reality, for the student to be enrolled he/she must pay = (p/2) + $17.50 application fee to be able to get that special offer.

So Twelve new students enrolled, meaning they paid: 12 (p/2 + 17.50 application fee)

The amount they all paid is $750.

To get the regular price of enrollment from the price that included the application fees, the equation to use would be: 12 (p/2 + 17.50) = 750

The correct answer is 12 ([tex]\frac{p}{2}[/tex] + 17.50) =750

Explanation:

In mathematics, an equation represents equality; this means mathematical expressions are placed to the sides of the equality sign and these have the same value. Moreover, if an equation is written based on a situation or description, the values should include the appropriate mathematical symbols (+, -, x, etc) depending on how each of the factors in the equation relates.

In the case presented, it is known the total collected was $750 and due to this, this value should be placed to one side of the symbol =. Moreover, this value was obtained as students paid 17.50 of the application fee plus half of the price. This can be written as [tex]\frac{p}{2}[/tex] (a half price or price divided 2) + 17.50 (application fee). Finally, these two values should be multiplied by 12 (number of students that paid). According to this, the equation is 12 ([tex]\frac{p}{2}[/tex] + 17.50) =750.

Answer:

222

Step-by-step explanation:

Answer:

500 figures.

Step-by-step explanation:

We know that 185 figures is 37% of her entire collection.

Let c represent the total amount of figures.

Since 185 is 37% or 0.37 of her total collection, we can write the equation:

[tex]0.37c=185[/tex]

Remember that the keyword of tells us it's multiplication.

Therefore, to find the number of figures in her total collection, divide both sides by 0.37:

[tex]c=\frac{185}{0.37}[/tex]

Evaluate. Use a calculator. So:

[tex]c=500[/tex]

Sofia's total collection has 500 figures.

Given :

Money Katie has, M = $30.

She has found a bracelet with a regular price of $45 and a discount of 35%.

The sales tax is 7%.

To Find :

Will she have enough to buy the bracelet.

Solution :

Original price = $45 .

Price after discount = $( 45 - 45×0.35) = $29.25 .

Selling Price = $( 29.25 + 29.25×0.07 ) = $31.2975 .

Since, selling price is greater than $30.

Money needed = $( 31.2975 - 30 ) = $1.2975 .

Therefore, Katie will not buy the bracelet.

Answer:

5/12

Step-by-step explanation:

All of the other answers share at least one factor they can be divided by (the numerator in all cases). 5/12 however shares no factors and cannot be simplified anymore.

Answer:

x=3

Step-by-step explanation:

A line with an undefined slope is a vertical line where for each and every value of  y ;  x  has the same value.

In this problem the  x  value is  3

Therefore the equation for the line is:  

x = 3

Answer:

If ABC is isosceles, then <C is 35, and <A should be 110.

Step-by-step explanation:

Answer:

Three segments: AB, BC, AC

Step-by-step explanation:

Remember to put the line on top since they’re segments.

Hope this helps!

Answer:

10 days: ofc there is an easier way to do this but i did my own way down below :)

Step-by-step explanation:

in 1 day

cowboys: 300+25 is 325

saints: 700-15=685

in 2 days:

cowboys: 325+25 is 350

saints: 685-15 is 670

in 3 days:

cowboys: 350+25 is 375

saints: 670-15 is 655

in 4 days:

cowboys: 375+25 is 400

saints: 655-15 is 640

in 5 days:

cowboys: 400+25 is 425

saints: 640-15 is 625

in 6 days:

cowboys: 425+25 is 450

saints: 625-15 is 610

in 7 days:

cowboys: 450+25=475

saints: 610-15 is 595

in 8 days:

cowboys: 475+25 is 500

saints: 595-15 is 580

in 9 days:

cowboys: 500+25 is 525

saints: 580-15 is 565

in 10 days:

cowboys: 525+25 is 550

saints: 565-15 is 550

in 10 days, they will have the same number of followers

the answer is quadrant 3

Answer:

Its in quadrant 3

Step-by-step explanation:

Since they are both negative they go into the third quadrant

Answer:

(x-3) (x-7)

Step-by-step explanation:

The first term is,  x2  its coefficient is  1 .

The middle term is,  -10x  its coefficient is  -10 .

The last term, "the constant", is  +21  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 21 = 21  

Step-2 : Find two factors of  21  whose sum equals the coefficient of the middle term, which is   -10 .

     -21    +    -1    =    -22  

     -7    +    -3    =    -10    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  -3  

                    x2 - 7x - 3x - 21

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-7)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-7)

Step-5 : Add up the four terms of step 4 :

                   (x-3)  •  (x-7)

            Which is the desired factorization

Answer:

A′B′ and AB are equal in length.

Step-by-step explanation:

Given that the location of the points are at A(1, 3) and B(5, 3).

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Rigid transformation are transformation that preserves the shape and size when performed. Types of rigid transformation are reflection, rotation, translation.

Hence if AB is rotated 270 degrees counterclockwise about the origin to form A′B′, both A′B′ and AB are equal in length because rotation is a rigid transformation.

If A(x,y) is rotated 270 degrees counterclockwise about the origin, it becomes A'(y,-x).

Hence if AB is rotated 270 degrees counterclockwise about the origin to form A'(3, -1), B'(3, -5)

[tex]AB=\sqrt{(5-1)^2+(3-3)^2} =4\\\\A'B'=\sqrt{(3-3)^2+(-5-(-1))^2}=4,[/tex]

Answer:

Sorry and where is your questions..

Answer:

18

Step-by-step explanation:

Because -1 q would make it a positive 1q (q) so q=18

Answer: (2, 2 )

Step-by-step explanation:

Plug the x and y-values into the given equation.  If it makes a true statement, then it is a solution.

y = x +  

(0,0) → 0 = 0 +     FALSE

(1, ) →   = 1 +     FALSE

(2, 2 )  →  2  = 2 +     TRUE

Answer:

No solutions

Step-by-step explanation:

Let's solve your equation step-by-step.

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

Step 1: Simplify both sides of the equation.

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

(5)(3x)+(5)(5)=(3)(5x)+(3)(1)(Distribute)

15x+25=15x+3

Step 2: Subtract 15x from both sides.

15x+25−15x=15x+3−15x

25=3

Step 3: Subtract 25 from both sides.

25−25=3−25

0=−22

Answer:

There are no solutions.

Answer:

Get ahead then

Step-by-step explanation:

Step-by-step explanation:

Shorts cost $16

T-shirts cost $10

So:

16x + 10y ≤ 100

or

y ≤ -1.6x + 10

Then graph y = -1.6x + 10 and x = 2

Part b:

Using the graph, we can infer that there are two possible solutions:

A. 3 pairs of shorts and 4 t-shirts

B. 4 pairs of shorts and 2 t-shirts

6a. X =  number of apples, Y = number of oranges

So:

x + y ≤ 20

0.24x + 0.8y ≤ 12

x ≤ 20 - y

0.24(20 - y) + 0.8 ≤ 12

= 4.8 - 0.24y + 0.8y ≤ 12

= 0.56y ≤ 7.2

y = 12.9 (You can use twelve because there can't be a fraction of an orange.)

x = 7.14 (again, because of fractions, round to 7.)

Therefore, she got 12 oranges and 7 apples.

Part 2:

Question 1:

Both equations are unbounded.

Question 2:

Both equations are unbounded.

Question 3:

Both equations are unbounded.

Question 4:

Both equations are unbounded.

Give me a moment to add question four's graph.

Answer:

12:3

Step-by-step explanation:

Answer:

[tex]x= \frac{5}{2}[/tex]

Step-by-step explanation:

1) First, Simplify 5x-25+30 to 5x+5.

7x = 5x + 5

2) You then Subtract 5x from both sides.

7x − 5x = 5

3) Simplify 7x-5x to 2x.

2x = 5

4) Lastly,  Divide both sides by 2.

[tex]x=\frac{5}{2}[/tex]

Decimal Form: 2.5

Answer:

X= 5/2

Step-by-step explanation:

7x=5x-25+30

_5x -5x

2x=-25+30

2x=5

/2. /2

x=5/2

Answer: 6.1e-17

Step-by-step explanation:

the evaluated expression in scientific notation is 6.1 × 10⁻⁵.

To evaluate and express the answer in scientific notation, we can simplify the expression and adjust the decimal point and exponent accordingly.

2.44 × 10⁻¹⁰ ÷ 4 × 10⁻⁶

First, divide 2.44 by 4, which gives us 0.61.

Next, subtract the exponents by applying the division rule for exponents:

10⁻¹⁰ ÷ 10⁻⁶ = 10⁽⁻¹⁰⁻⁽⁻⁶⁾⁾ = 10⁽⁻¹⁰⁺⁶⁾ = 10⁻⁴

Therefore, the simplified expression is 0.61 × 10⁻⁴.

To express the answer in scientific notation, we can move the decimal point one place to the right, resulting in 6.1 × 10⁻⁵.

Hence, the evaluated expression in scientific notation is 6.1 × 10⁻⁵.

Learn more about scientific notation here

https://brainly.com/question/24129248

#SPJ2

Answer:

b

Step-by-step explanation:

Answer:

b or a

Step-by-step explanation:

Answer:

6.9y+2.4y

= 9.3y

Hope it helps u,

pls put thanks and pls mark as the brainliest

Answer:

50% profit

Step-by-step explanation:

Cost price = £ 5000

Selling price = £ 7500

Profit  = Selling price - cost price

        = 7500 - 5000

       = £ 2500

Profit percentage = [tex]\frac{2500}{5000}*100[/tex]

                             = 50 %

Answer:

He used 9 rubberbands.

pls give me brainliest if correct.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

36 divided by 1 over 4 equals 9

9+9+9+9=36

1+1+1+1=36

-----------

4  4  4  4

Answer:

Rs. 52[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given parameters:

Amount spent on buying a food = Rs. 25.75

Amount spend on buying pen  = Rs. 10.25

Amount given out to friend = Rs. 16.5

Unknown:

The total money he initially had = ?

Solution:

The total money he initially had :

       = amount spent on food + amount spent on pen + amount given to friend

      = Rs. 25.75  + Rs. 10.25  +  Rs. 16.5

       = Rs. 52.5 or  Rs. 52[tex]\frac{1}{2}[/tex]

Given : 56 men can do a work in 42 days .

To Find : In how many men will do the same work in 14 days .

Solution : We will use Unitary method here to solve the above problem . This is a case of inversely proportional that is when one will increase the other will decreases . Here if the number of men will increase then the number of days will decrease and vice - versa .

If in 42 days 56 men can do the work ,

Then in 1 day 42 × 56 men can do the work .

Then in 14 days , [tex]\sf \dfrac{42\times\cancel{56}}{\cancel{14}}[/tex] will do the work = 168 .

Hence 168 men will do the work in 14 days .

[tex]\Large\boxed{\red{\bf Answer = 168 \:men}}[/tex]

Answer:

the answer is 37.5cm^2

Answer:

150

Step-by-step explanation:

add 79+ 71 because you rounded to get that number then add :)

150

When estimating you just round off the numbers so, 78.9 becomes 79 and 71.2 becomes 71 so, 79 + 71 = 150.