Translate the sentence into an equation using n as the unknown number. then solve the equation for n. round to the nearest hundredth if necessary. the quotient of a number divided by 6 is 3.5. A. 6/n=3,5 n=21 B. n/6=3,5 n=21 C. 6n=3,5 n=0.50 D. 6n=3,5 n=21

Answer:

The solution of the given system of equation is (-4, 1)

Step-by-step explanation:

Given system of equation  5x− y = −21 and  x+y= −3

We have to find the solution of the given system of equation.

Consider the

Given system of equation

5x− y = −21  .......(1)

x + y = −3 .......(2)

Adding (1) and  (2) , we have,

⇒ 5x - y + (x + y ) = -21 + (-3 )

⇒ 5x - y + x + y = -21 - 3

⇒ 5x + x  = -24

⇒ 6x  = -24

⇒ x  = -4

Substitute x = -4 in (2) , we get,

x + y = −3 ⇒  (-4) + y = −3 ⇒ y = -3 + 4 ⇒ y = 1

Thus,  the solution of the given system of equation is (-4, 1)

The equation that represents Jacob's age is  x = y + z + 2

From the question, the following information was provided :

Jacob's age is two years more than the sum of the ages of his siblings Becky and Micah.

This above information can be represented with the equation below

Jacob = 2 + ( Becky + Micah) (equation 1)

If :

x represents Jacob's age

y represents Micah's age

z represents Becky's age

Equation 1, can be rewritten as x = y + z + 2

Micah's age can be determined by making Micah the subject of the formula in the above equation

Micah = Jacob - Becky - 2   (equation 2)

If :

x represents Micah's age

y represents Becky's age

z represents Jacob's age

Micah's age can be rewritten as :

x = z - y - 2

Becky's age  age can be determined by making Becky the subject of the formula in the first equation.

Becky = Jacob - Micah - 2 (equation 3)

If:

x represents Becky's age

y represents Jacob's age

z represents Micah's age

Equation 3 can be rewritten as :

x = y - z - 2

Check here for a related question : brainly.com/question/21843246?referrer=searchResults

Using a system of equations, it is found that the correct equation is given by:

, which is option B.

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

• Jacob's age is given by x.
• Becky's age is given by y.
• Micah's age is given by z.

• Considering that Jacob's is 2 years older than Becky's and Micah's combined, which is of y + z, his age is represented by the following equation:

Which is given by option B.

A similar problem is given at brainly.com/question/24233433

Answer:

Dalton didn't ride any kilometer farther since he keeps threading in the same path as that of his father.

Step-by-step explanation:

If Dalton's dad rode 1 kilometer north, 2 kilometers west 1 kilometer south and 2 kilometers east, then he has been moving in a rectangular path.

If Dalton rode in the same path 5times, then Dalton's has not move farther than his dad since he is still moving in the same rectangular path. He is only expending more energy.

Their final destination will still be the same for both of them no matter how many times Dalton keeps threading in the same path.

Answer:

Step-by-step explanation