All categories

3 years ago

12x-20y=108 3x+ky=27 what is k

Mathematics

1 answer:

Sedaia [141]3 years ago

3 0

Let's look at the second equation and try multiplying it by 4:

4 * (3x + ky) = 4 * 27

Which gives us:

12x + 4ky = 108

This looks almost exactly like the first equation except that instead of -20y, there is 4ky. We could try making them equal to each other and solving for k:

-20y = 4ky

-20 = 4k

k = -5

Then, the answer is k = -5.

You might be interested in

a boat is traveling at an average speed of 15 meters per second. how many kilometers per minute is the boat traveling?

lukranit [14]

We know that 1 meter is 0.001 km and that 1 minute is 60 seconds.
To transform 15m/s we into km/min we have to multiply 15 by 0.001 and multiply it by 60.
$15*0.001*60=0.0015*60=0.09 km/min$ - its the answer

4 0

3 years ago

Read 2 more answers

A glacier advances toward the sea 0.004 mile anually. In 2010 the front of the glacier is 6.9 miles from the mouth of the sea. H

olchik [2.2K]

You know where the glacier is now, and how far it moves in
one year. The question is asking how close to the sea it will be
after many years.

Step-1 ... you have to find out how many years

Step-2 ... you have to figure out how far it moves in that many years

Step-3 ... you have to figure out where it is after it moves that far

The first time I worked this problem, I left out the most important
step ... READ the problem carefully and make SURE you know
the real question. The first time I worked the problem, I thought
I was done after Step-2.

============================

Step-1: How many years is it from 2010 to 2030 ?

   (2030 - 2010) = 20 years .

Step-2: How far will the glacier move in 20 years ?

   It moves 0.004 mile in 1 year.

    In 20 years, it moves 0.004 mile 20 times

    0.004 x 20 = 0.08 mile

Step-3: How far will it be from the sea after all those years ?

In 2010, when we started watching it, it was 6.9 miles
      from the sea.

      The glacier moves toward the sea.
   In 20 years, it will be 0.08 mile closer to the sea.
   How close will it be ?

       6.9 miles - 0.08 mile = 6.82 miles (if it doesn't melt)

7 0

3 years ago

For the given term, find the binomial raised to the power , whose expansion it came from: 10a ^ 3 * b ^ 2 .

9966 [12]

Answer:

i dont know sorry

Step-by-step explanation:

7 0

3 years ago

Add integer help just explain

dusya [7]

Since -6 +6 can be rearranged to 6-6 using the communicative property, we get 6-6 =0 . In addition, -120+(-6) is essentially having -120+ 1*(-6), and 1 times a number is simply that number, so we have -120-6=-126

4 0

3 years ago

Suppose that a cell phone monthly rate plan costs the user 5 cents per minute beyond a fixed monthly fee of $20. This implies th

nikdorinn [45]

Answer:

y = 20 + .5x

Step-by-step explanation:

Suppose that a cell phone monthly rate plan costs the user 5 cents per minute beyond a fixed monthly fee of $20. This implies that the relationship between monthly cost and monthly number of minutes is linear. Write an equation that relates total monthly cost to monthly minutes used.

Fixed monthly fee = $20

Fee per minute = $0.5

Number of minutes = x

Variable monthly cost = 0.5x

Let Total monthly cost = y

Total monthly cost = fixed monthly cost + variable monthly cost

y = 20 + .5x

Equation that relates total monthly cost to monthly minutes used is y = 20 + .5x

8 0

3 years ago