a boy is 17 tears old and his sister is twice as old. when the boy turns 23 yrs old what will be the age of his sister?

Answers

Answer 1

Answer: So,

We know that the boy is half as old as his sister.

Boy now = 17
Sister now = 34

Boy + 6 = 23

So, we add 6 to the sister's current age.
34 + 6 = 40

The sister will be 40 years old.

Answer 2

Answer: b=17
s=2b=17(2)=34
so

34-17=17 therefor
s-17=b

so
s-17=23
add 17 to both sdies
s=40
sister will be 40

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Solve for n. Round to the nearest tenth, if necessary.

47/n = 36/54

Answers

$(36)/(54)=(36:18)/(54:18)=(2)/(3)\n\n(47)/(n)=(2)/(3)\ \ \ |cross\ multiply\n\n2\cdot n=3\cdot47\n\n2n=141\ \ \ \ |divide\ both\ sides\ by\ 2\n\nn=(141)/(2)\n\n\boxed{n=70.5}$

$47/n = 36/54$

$47/n=2/3$

$47=2/3n$

$47=2n/3$

$47*3=2n$

$141=2n$

$141/2=n$

Decimal Form: 70.5

PLZZZ HELPPP ME!!!A road map shows the intersections of roads. There are three parallel roads cut by
a fourth road that acts like a transversal.
What is tru
Choose one
If ZEBC mea
ZHEF has th
The sum of th

Answers

Answer:

Step-by-step explanation:

What is tan(B)?
13
5
B
12
?
tan(B) =
Enter

Answers

Answer:

tan B = 5/12

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp side/ adj side

tan B = 5/12

Use Synthetic Division to Factor the following polynomials completely by given factors or roots and Find all the zeros; When you reach quadratic equation, performance regular factoring or Quadratic Formula. $x^(5) -9x^(3) -x^(2) +9;(x-3),(x-1)$ , as factors and -3 as a root

Answers

Answer:

The factors are (x - (1 - i√3)/2) , (x - (1 + i√3)/2) , (x - 3) , (x + 3) , (x - 1)

The zeroes are 1 , 3 , -3 , (1 - i√3)/2 , (1 + i√3)/2

Step-by-step explanation:

$(x^(5)+0-9x^(3) -x^(2)+0+9)$ ÷ (x - 3) =

$(x^(4)-9x^(3)-x^(2)+0+9)$ ÷ (x - 3) =

$x^(4)+3x^(3)+(-x^(2)+0+9)$ ÷ (x - 3) =

$x^(4)+3x^(3)-x+(-3x+9)$ ÷ (x - 3) =

$(x^(4)+3x^(3)-x-3)$

$(x^(4)+3x^(3)+0-x-3)$ ÷ (x - 1) =

x³ + (4x³ + 0 - x - 3) ÷ (x - 1) =

x³ + 4x² + (4x² - x - 3) ÷ (x - 1) =

x³ + 4x² + 4x + (3x - 3) ÷ (x - 1) =

x³ + 4x² + 4x + 3

∵ -3 is a root ⇒ (x + 3) is a factor

(x³ + 4x² + 4x + 3) ÷ (x + 3) =

x² + (x² + 4x + 3) ÷ (x + 3) =

x² + x + (x + 3) ÷ (x + 3) =

x² + x + 1 ⇒ use the formula to find the factors of this quadratic

∵ a = 1 , b = 1 and c = 1

∴ $x=\frac{-1+\sqrt{(1)^(2)-4(1)(1)} }{2(1)}=(-1+√(-3))/(2)=(-1+i√(3))/(2)$

∴ $x=(-1-i√(3) )/(2)$

∴ The factors are (x - (1 - i√3)/2) , (x - (1 + i√3)/2) , (x - 3) , (x + 3) , (x - 1)

The zeroes:

x - 3 = 0 ⇒ x = 3

x + 3 = 0 ⇒ x = -3

x - 1 = 0 ⇒ x = 1

x - (1 - i√3)/2 = 0 ⇒ x = (1 - i√3)/2

x - (1 + i√3)/2 = 0 ⇒ x = (1 + i√3)/2

The zeroes are 1 , 3 , -3 , (1 - i√3)/2 , (1 + i√3)/2

6 Rearrange the linear equation so that it is in slope interceptform. Identify the slope (m) and the intercept (b). You must show your work for full creditX-4=2(y - 3)

Answers

Answer:

$y=(1)/(2)x+1$ is in the slope-intercept form.

so the slope will be:

$m=(1)/(2)x$

and y-intercept will be:

b = 1

Step-by-step explanation:

Given the equation

$x-4=2(y - 3)$

As we know that $y = mx+b$ is the slope-intercept form of a line where $m$ is the slope and $b$ is the y-intercept.

Converting to slope-intercept form

$x-4=2(y - 3)$

switching sides

$2\left(y-3\right)=x-4$

$2y-6=x-4$

$2y=x-4+6$

$2y=x+2$

$y=(1)/(2)x+1$

As $y = mx+b$ is the slope-intercept form of a line where $m$ is the slope and $b$ is the y-intercept.

Therefore, $y=(1)/(2)x+1$ is in the slope-intercept form.

so the slope will be:

$m=(1)/(2)x$

and y-intercept will be:

b = 1

What are Z- and Z2-scores?

Answers

The Z-Score is a shorthand to describe the financial health of a company, and its likelihood of financial distress. If the Z Score is falling towards 1.8 then it may be a sell signal. Z2 is the Z-Score for non-manufacturing companies (but excluding property/financial companies) and this version is calculated based using the latest available interim financials.

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