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2 years ago

What is the answer of 11 6/9 - 4 4/9

Mathematics

2 answers:

yaroslaw [1]2 years ago

8 0

<h3>given:</h3>

$11 \frac{6}{9} - 4 \frac{4}{9}$

<h3>solution:</h3>

$11 \frac{6}{9} - 4 \frac{4}{9}$

$= \frac{35}{3} - \frac{40}{9}$

$= \frac{(35 \times 9) - (40 \times 30)}{3 \times 9}$

$= \frac{315 - 120}{27}$

$= \frac{195}{27}$

$= 7 \frac{2}{9}$

IrinaK [193]2 years ago

4 0

Answer:

$7 \frac{2}{9}$

Step-by-step explanation:

here is your answer

Calculation steps:

$11 \frac{6}{9} - 4 \frac{4}{9}$

$= (14 - 4) + ( \frac{6}{9} - \frac{4}{9} )$

$= 7 + \frac{6 - 4}{9}$

$= 7 + \frac{2}{9}$

$7 \frac{2}{9}$

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What is the inverse of f(x)=(x+6)2 for x≥–6 where function g is the inverse of function f? g(x)=x√−6, x≥0 g(x)=x−6−−−−√, x≥6 g(x

avanturin [10]

Answer:

$g(x)=\sqrt{x}-6$ , x>=0

Step-by-step explanation:

$f(x)=(x+6)^2$

To find the inverse function , replace f(x) by y

$y=(x+6)^2$

Replace x with y and y with x

$x=(y+6)^2$

Solve the equation for y

take square root on both sides

$+\sqrt{x} =y+6$

Now subtract 6 from both sides

$+\sqrt{x}-6=y$

replace y with g(x)

$g(x)=\sqrt{x}-6$

8 0

3 years ago

Es of two children are 11 and 8 years.

nikdorinn [45]

Answer:

<em>In 5 years the product of their ages will be 208</em>

Step-by-step explanation:

The age of two children is 11 and 8 years.

Let's call x the number of years ahead.

We need to find when the product of their future ages is 208. The 11 years old child will be 11+x years old and the other child will be 8+x years, thus:

(11+x)(8+x)=208

Operating:

$88+11x+8x+x^2=208$

Simplifying:

$x^2+19x-120=0$

Factoring:

(x-5)(x+24)=0

Solving:

x=5, x=-24

The negative solution is not valid, thus x=5

In 5 years the product of their ages will be 208

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3 years ago

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morpeh [17]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Con las cuatro cartas que se muestran en la figura se pueden formar diferentes números. Por ejemplo: 8232 o 3822. ¿Cuántos númer

densk [106]

Answer:

Se pueden formar 9 números pares.

Step-by-step explanation:

Dado que con cuatro cartas se pueden formar diferentes números, como por ejemplo 8232 o 3822, para determinar cuántos números pares de cuatro dígitos y diferentes puedes formar con estas cuatro cartas se debe realizar la siguiente tabla:

8232 - 8322 - 8223 = 2 pares 1 impar

2832 - 2823 - 2382 - 2328 - 2283 - 2238 = 4 pares 2 impares

3822 - 3282 - 3228 = 3 pares

Por lo tanto, se pueden formar 9 números pares.

5 0

3 years ago

Need help!! I can't figure this out

Sidana [21]

9514 1404 393

Answer:

12. $1,035,057.23

13. $988,881.23

14. $7,762.93

15. $8,686.16

16. $967,647.66

Step-by-step explanation:

The annuity and amortization formulas are used for problems like this.

sum of monthly payments = P((1 +r/12)^(12t) -1)/(r/12)

monthly amount available = P(r/12)/(1 -(1 +r/12)^(-12t))

12. The sum of monthly payments of 74, accumulated at 9% compounded monthly for 52 years is ...

A = ($74)((1 +.09/12)^(12·52) -1)/(.09/12) = $1,035,057.23

13. The total of payments is ...

$74×12×52 = $46,176

So, the interest earned is ...

$1,035,057.23 -46,176 = $988,881.23

14. The amount available in perpetuity is the monthly interest on this account balance.

$1,035,057.23 × .09/12 = $7,762.93

15. The monthly amount available for 25 years is found from the amortization formula:

A = $1,035,057.23(.09/12)/(1 -(1 +.09/12)^(-12·25)) = $8686.16

16. The amortization formula is used for this, too.

8066 = P(.094/12)/(1 -(1 +.094/12)^(-12·30)) = 0.00833568P

P = $8066/0.00833568 = $967,647.66

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3 years ago