100 points and reward brainliest!
(28-b)xb=187
b = ?

Answers

Answer 1

Answer:

[tex]b=11, b=17[/tex]

Step-by-step explanation:

To get rid of the parenthesis, distribute:

[tex]b(28-b)=187,\\28b-b^2=187[/tex]

Move all terms to one side and factor:

[tex]b^2-28b+187=0,\\(b-11)(b-17)=0,\\\begin{cases}b-11=0,b=\boxed{11}\\b-17=0,b=\boxed{17}\end{cases}[/tex]

Answer 2

Answer:

b = 11, 17

Step-by-step explanation:

=> (28 - b) × b = 187

=> 28b - b² = 187

subtracting 187 from both sides

=> 28b - b² - 187 = 0

dividing the equation by (-1) and rearranging

=> b² - 28b + 187 = 0

breaking -28b into 2 variables such that the variable multiply to form 187b²

=> b² - 11b- 17b + 187 = 0

{as (-11b)×(-17b) = 187b² and (-11b)+ (-17b) = -28b }

=> b (b - 11) - 17(b - 11) = 0

=> (b- 11)(b - 17) = 0

either

(b - 11) = 0

=> b = 11

or

(b - 17) = 0

=> b = 17

therfore,

b = 11, 17

Related Questions

Find an equation for the perpendicular bisector of the line segment whose endpoints are (-1, -7) and (9, 1).

Answers

Answer:

y = -5/4 x + 2

Step-by-step explanation:

the slope of line segment : (1+7) /(9+1) = 8/10

= 4/5

the mid point of line segment :

x = (-1+9)/2= 4

y= (-7+1)/2 = -3

the coordinate : (4, -3)

the slope of line perpendicular to line segment

= -1 ÷ 4/5 = -5/4

so the equation :

y+3= -5/4 (x-4)

y+3= -5/4 x +5

y = -5/4 x + 2

What’s the answer????????????

Answers

Answer:33

Step-by-step explanation:

trust

in the diagram below P(x:y)is a point in the third quadrant. ROP=B and 17 cos B is equal to -15 calculate the values of x and y and r ​

Answers

you showed no diagram or any picture / screenshot

From 1980 to 1990 the consumer price index increased from 82.4 to 130.7 if a bottle of dish soap cost 0.74 in 1980 and the price of dish soap increased at the same rate as the cpi from 1980 to 1990 by approximately how much did the price of the bottle of dish soap increase from 1980 to 1990

Answers

Answer:

$0.43

Step-by-step explanation:

Rate of increase = [(CPI in 1990 / CPI in 1980)^1/t] - 1

(130.7 / 82.4)^1/10

1.586165^0.1 = 1.047213 - 1  = 4.72%

Price of dish soap in 1990 = value in 1980 ( 1 + rate of increase)^10

0.74( 1.047213)^10 = 1.174

Price increase 1.174 - 0.74 = 0.43

Simplify the expression:
5(4x - 2)
i need help

Answers

Step-by-step explanation:

5(4× - 2)

5x4=20

5×2=10

Answer = 20x - 10

Answer:

20x-10

Step-by-step explanation:

Simply multiply.

5 × 4X = 20X

5× -2 = -10

Combine both

20X - 10

Which of the following represents a constant from the expression given?

15x2 + 2x + 9

Answers

Answer:

9

Step-by-step explanation:

15x^2 + 2x + 9

A constant does not have a variable with it

15x^2 is the quadratic term

2x is the linear term

9 is a constant term

Answer:

The answer is 9.

someone already explained  it lol

David takes out a 20year 70,000 loan from his bank 2010. The quadratic equation that approximates the year/loan balance relationship is y = - 98x ^ 2 - 1, 531x + 69, 71 , where x is the number of years and y is the balance In what year, will his loan balance be $37,2347

Answers

Answer:

2022

Step-by-step explanation:

The duration of the loan David takes = 20 year loan

The amount David takes as loan = 70,000

The year David takes the loan = 2010

The year/loan balance relationship is y = -98·x² - 1,531·x + 69,710 (We note that the proper constant for the loan balance should be approximately 70,000, therefore the added zero)

Where;

x = The number of yeas

y = The balance

The year his loan balance will be $37,234.7, is given as follows;

37,234.7 = -98·x² - 1,531·x + 69,710

-98·x² - 1,531·x + 69,710 - 37,234.7 = 0

-98·x² - 1,531·x + 32,475.3 = 0

Factorizing with a graphic calculator, gives;

-98·(x - 11.998)·(x + 27.62) = 0

∴ x = 11.998 ≈ 12 or -27.62

The number of years it takes for the loan balance to be $37,234.7 = 12 years

Given that he took the loan in 2010, the loan balance will be $37,234.7 in 2010 + 12 = 2022

If the sum of the measures of 21 and 22 is 180°, what is the sum of the measures of 23 and 24?

Answers

Answer:

180

Step-by-step explanation:

it is a quadrilateral that has 360 degrees in total. So if 1 and 2=180 then 3 and 4=360-180=180. Hope this is right.....

Lisa invested $2500 in a bank account. The account has an annual interest rate of 3.5%. How much money will be in the account after 15 years? Use the formula A(t) = P*e^rt to solve the problem. (round to the nearest hundredth)​

Answers

Answer:

A = $ 4188.38

Step-by-step explanation:

A= $2500

r = 3.5% = 0.035

t = 15years

n = 1

     [tex]A = P(1 + r)^t[/tex]

        [tex]= 2500 ( 1 + 0.035)^{15}\\\\= 2500 (1.67535)\\\\= \$ 4188.38[/tex]

There are 1,099 souvenir paperweights that need to be packed in boxes. Each box will hold 11 paperweights. How many boxes will be needed?

Answers

Answer:

1099/11=99.9

since you can't have 99 boxes, you round to 100 boxes.

you will need 100 boxes.

if you get 7,676 of something per 0.5 milliseconds how much would you have of that something in 8 hours​

Answers

Answer:

The answer will be 441907200 not sure

Step-by-step explanation:

PLease help me :( You will get 20 pionts! And i will mark Brainliest!
picture is also included
Question:
Which term describes how the two sides of this figure are related ?

A. Induction
B. Symmetry
C. Scientific method
D. Deduction

Answers

Answer:

B. Symmetry

Step-by-step explanation:

They are symmetrical, meaning they are mirrored or both look the same.

Hope this helps! :)

what is the correct answer​

Answers

The Answer is:

A. x = 4

What is -1.2 repeating as a mixed number​

Answers

Answer:

[tex]-1\frac{2}{9}[/tex]

Step-by-step explanation:

         _

y = - 1.2

                 _

y × 10 = - 1.2 × 10

                _

10y = - 12. 2

                _

10y = - 12. 2

-         _

y = - 1.2

____________

9x = 11

9x ÷ 9 = 11 ÷ 9

[tex]x = -1\frac{2}{9}[/tex]

   _

- 1.2 = - 1 2/9

if a:b=1:3 and b:c=5:8 what's a:c

need steps pls​

Answers

Answer:

a:c=1:8

Step-by-step explanation:

a:b=1:3

therefore a=1 and b=3

b:c=5:8

therefore b=5 and c=8

then,

a:c=1:8

Answer:

a : c = 5 : 24

Step-by-step explanation:

[tex]a : b = 1 : 3\\\\\frac{a}{b} = \frac{1}{3} \ => b = 3a\\\\b : c = 5 : 8 \\\\ \frac{b}{c} = \frac{5}{8} \ => \ \frac{3a}{c} = \frac{5}{8}[/tex]                  [tex][substituting \ b = 3a ][/tex]

                 [tex]\frac{a}{c} = \frac{5}{24}[/tex]

    [tex]=> a : c = 5 : 24[/tex]

PLEASE GIVE ME THE PERCENTAGES FOR THIS CHART!

BRAINLIEST REWARD!!

Answers

Answer:

Sleeping - 30.2%

School - 17.6%

Homework - 0%

EC - 6.73%

Computer - 13.45%

Phone - 0%

Television - 1.68%

Excercise - 6.73%

Family time - 20.18%

Other - 3.36%

Step-by-step explanation:

hope this helps :)

Answer this wuestion for me man

Answers

Answer:

The length of ribbon is [tex]\sqrt{32}[/tex].

Step-by-step explanation:

Length of the side of square = 4 inches

let the length of the diagonal is x.

By use of Pythagorean theorem

[tex]x^2 = 4^2 + 4^2 \\\\x =\sqrt {16 + 16}=\sqrt{32}[/tex]

Which of the following is the area of a triangle pictured below

Answers

Answer:

(2) 22.44 cm^2

Step-by-step explanation:

A = bh/2

A = (8.8 cm)(5.1 cm)/2

A = 22.44 cm^2

Answer:

22.44 cm^2

Step-by-step explanation:

8.8 - 7.6 = 1.2

1.2 · 5.1 = 6.12 / 2 = 3.06

7.6 · 5.1 = 38.76 / 2 = 19.38

19.38 + 3.06 = 22.44 cm^2

If you are given a parallelogram with the top right and left corners each measuring 72* and the bottom right corner measuring 108*. What is the measurement of the missing corner, the bottom left corner of the parallelogram?

Answers

Answer: [tex]108^{\circ}[/tex]

Step-by-step explanation:

Given

The top left and right corners measures [tex]72^{\circ}[/tex] and the bottom right corner measures [tex]108^{\circ}[/tex].

Suppose the missing corner measures [tex]x[/tex]

So, the sum of the four angles of parallelogram is [tex]360^{\circ}[/tex]

[tex]\therefore x+72^{\circ}+108^{\circ}+72^{\circ}=360^{\circ}\\\Rightarrow x=360^{\circ}-252^{\circ}\\\Rightarrow x=108^{\circ}[/tex]

Therefore, the missing angle is [tex]108^{\circ}[/tex].

How do I this math problem? If tan8 theta = cot 7 theta then theta =?

Answers

Given:

[tex]\tan 8\theta =\cot 7\theta[/tex]

To find:

The value of [tex]\theta[/tex].

Solution:

We have,

[tex]\tan 8\theta =\cot 7\theta[/tex]

We know that, [tex]\cot \theta =\tan (90^\circ -\theta)[/tex].

Using the trigonometric property, we get

[tex]\tan 8\theta =\tan (90^\circ -7\theta)[/tex]

On comparing both sides, we get

[tex]8\theta =90^\circ -7\theta[/tex]

[tex]8\theta +7\theta=90^\circ [/tex]

[tex]15\theta=90^\circ [/tex]

Divide both sides by 15.

[tex]\theta=\dfrac{90^\circ}{15}[/tex]

[tex]\theta=6^\circ[/tex]

Therefore, the value of [tex]\theta[/tex] is 6 degrees.

A parabola is defined by the equation x2 = 3/4 y. In which direction will the parabola open?

Answers

I’m pretty sure it’s positive so a upward one that looks like :u

I need help I’m stuck

Answers

The answer is b and have a nice day

Match each expression it to an equivalent expression

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

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

»»————- ★ ————-««  

Here’s why:  

[tex]\boxed{\text{Simplifying each expression:}}\\\\\frac{4^2}{2^2}\\---------\\\\\\rightarrow \frac{16}{4}\\\\\rightarrow \boxed{4}\\\\ \boxed{\frac{4^2}{2^2}=4}[/tex]

⸻⸻⸻⸻

[tex](8-4) * 4\\-----------\\\rightarrow (4)*4\\\\\rightarrow \boxed{16}\\\\\text{We can also tell...}\\\\4^2 = 4 * 4 = \boxed{16}\\\\\text{So...}\\\\\boxed{(8-4)*4 = 4^2}[/tex]

⸻⸻⸻⸻

[tex]2^2 + 2^2\\--------------\\\rightarrow 4 + 2^2\\\\\rightarrow 4 + 4\\\\\rightarrow \boxed{8}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

En un curso, el 40 % de los alumnos reprobó un examen. Si el curso tiene 45 alumnos. ¿Cuántos alumnos aprobaron

Answers

Answer:

Cantidad de aprobados= 25

Step-by-step explanation:

Dada la siguiente información:

Reproado= 45%

Aprobado= 55%

Cantidad de alumnos= 45 alumnos

Para calcular la cantidad de aprobados, debemos utiliar la siguiente formula:

Cantidad de aprobados= cantidad de alumnos*porcentaje aprobados

Cantidad de aprobados= 45*0.55

Cantidad de aprobados= 25

PLEASE ANSWER I NEED HELP SEE THE ATTACHMENT

Answers

Answer:

[tex]p=\frac{50}{360} 2\pi [8cm+(8-9)cm]+2(4.5cm)[/tex][tex]=19.0~cm[/tex]

--------------------------

hope it helps...

have a great day!!

Answer is 19cm I think

Find the average rate of change (-4,-7)(-2,3)

Answers

The average rate of change is m=5.
Hope this helped.

examine the matrices below and use to answer questiom 12 and 13

x={3 -5} y= {6 7}
{-4 2} {-4 -3}



number 2 question
calculate x and y

A {9 12}
{0 1}

B {9 -12}
{0 -5}

c {9 -2}
{-8 -1}

D {9 2}
{-8 -1}

Answers

Answer:

d

Step-by-step explanation:

HELP WITH 9 AND 10! I really don’t understand how to find these!

Answers

Answer:

50 and C

Step-by-step explanation:

Remark.

The geometric mean is the middle number between two numbers that are 2 places apart. It's easier just to make up an example to show what the mean is

4 8 16

8 is the geometric mean of 4 and 16. The first term (4) is multiplied by 2. The third term is derived from 8 (the mean) multiplied by 2

So to solve this problem you need to find what a is multiplied to get get the mean, and multiplied again by the same thing you did before to go from the mean to the third term.

Solution

12 / mean = mean / a      Cross multiply

mean^2 = 12*a

But the mean is given as 10sqrt(6)

12a = 100 * 6

12a = 600

a = 50

20 / mean = mean /a

mean^2 = 20 a

mean = 10 sqrt (10)

100 * 10 = 20*a

a = 1000 / 20

a = 50

Write the equation of the line in slope-intercept form

Answers

Answer:

y = 4/1 + 0

Step-by-step explanation:

we rise 4 units up and move 1 unit to the right

and the y intercept is 0 because its exactly in the center of x and y axis

Find the mode of the data.
Length (inches) of fish in tank:
2, 3, 1, 4, 5, 2, 2
Mode: [?] in.

Answers

Answer:

The mode is 2

Step-by-step explanation:

Mathematically, the mode of a given data set represents the most recurring number or the number with the most count

Looking at the given dataset, we can see that the number 2 recurred 3 times

Compared with the other numbers, it has the most count

this means it is the mode of the given or displayed dataset

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