Maury and Tyra are making phone calls to state representatives' offices to lobby for an issue. Muary can call all 120 state representatives in 10 hours. Tyra can call all 120 state representatives in 8 hours. How long would it take them to call all 120 state representatives together?

Answers

Answer 1
Answer: Maury = 120/10 (12 calls/hour)
Tyra = 120/8 (15 calls/hour)

Together they are 27 calls per hour.
120 / 27 = 4.4444444444

So it'd take them 4.44444444 (recurring) hours to make 120 calls.

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: Resolver el sistema de ecuaciones por el método de reducción. -x + 3y = 6 x + y = 2

Answers

Answer:

x=0\ny=2

Step-by-step explanation:

El método de reducción también llamado Suma y Resta, consiste en multiplicar una o ambas ecuaciones de tal manera que los coeficientes de una de las incógnitas sean iguales y de signo contrario, de tal forma que se eliminen al sumar las ecuaciones.

Nuestras ecuaciones son:

-x+3y=6\nx+y=2

En este caso podemos observar que x y -x son iguales y de signo contrario así que no tendremos que multiplicar y podemos sumar ambas ecuaciones.

Al sumarlas tenemos que:

4y=8\ny=2

Ahora sustituímos el valor que encontramos de y en la segunda ecuación para poder obtener el valor de x.

x+y=2\nx+2=2\nx=2-2\nx=0

Por lo tanto, x = 0 y y = 2

If 1/4 in. represents 1 ft. what distances are represented by lines of the following lengths: 2 in., 5 in., 1 1/2 in., 2 2/3 in., 4 7/8 in.?

Answers

Answer:

2 > 8

5 > 20

1.5 > 6

2 2/3 > 10.667

4 7/8 > 19.5

Step-by-step explanation:

(Use cross multiplication or algebra to solve)

Answer:

Step-by-step explanation:

Make q clear

Refer to the graph. Find the slope of each line

Answers

the top line has a slope of 2/4 which reduces to 1/2 and the second line has a slope of -1/4

Answer:

The top line has a slope of 1/2

The bottom line has a slope of - 1/4

What is the solution to log( x/4)2

Answers

Answer: simplify then, answer will be log(x2/16)

Given that a - b = 3 and ab=5, find, without the use of a calculator,
the value of a +b?

Answers

Answer:

√29

Step-by-step explanation:

We are here given that ,

  • a - b = 3
  • ab = 5 .

Now square the first equation ,

⇒ a - b = 3

⇒ ( a - b)² = 3²

⇒ a² + b² - 2ab = 9

⇒ a² + b² - 2(5) = 9

⇒ a² + b² -10 = 9

⇒ a² + b² = 9 + 10

⇒ a² + b² = 19

  • Adding 2ab both sides ,

⇒ a² + b² + 2ab = 19 + 2(5)

⇒ (a + b)² = 19 + 10

⇒ ( a + b)² = 29

a+b=29.

Algebra 1 taking stock

Answers

Given:

36 inch long pipe

Must be cut into 21/4 inch long pieces

Required:

How many pieces to be cut

Solution:

All you need to do is to divide 36 by 21/4

Dividing this will result to 48/7 pipes or 6 and 6/7 pipes