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3 years ago

What is the solution of the system? Use the elimination method. 2x+y=206x−5y=12 . Enter your answer in the boxes.

Mathematics

2 answers:

worty [1.4K]3 years ago

8 0

2x+y=206x-5y=12
y+204x-5y=12
6y=204x=12

Oksi-84 [34.3K]3 years ago

6 0

5y=208x=12

you basically put the 2x with 206x. add the 5y to the leftover y in the beginning of equation.

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The diameter of a quarter is 2.5 cm. What is it’s circumference?

anastassius [24]

Answer:

7.85 cm

Step-by-step explanation:

The circumference of a circle can be found using the following formula.

$c=\pi d$

The diameter is 2.5 centimeters. Therefore, we can substitute 2.5 cm in for d.

$c=\pi *2.5 cm$

Now, find the circumference.

- In terms of pi:

$c=\pi *2.5 cm$

$c= (2.5)\pi cm$

$c= 2.5\pi cm$

-Using 3.14 as pi

$c=\pi *2.5 cm$

$c=3.14 *2.5 cm$

$c=7.85 cm$

-Using 3.14159... as pi

$c=\pi *2.5 cm$

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7 0

3 years ago

Two trains leave a town at the same time heading in opposite directions. One train is traveling 12 mph faster than the

klemol [59]

Answer:

I'm going to paint you a picture in words of what this looks like on paper. We have a train leaving from a point on your paper heading straight west. We have another train leaving from the same point on your paper heading straight east. This is the "opposite directions" that your problem gives you.

Now let's make a table:

distance = rate * time

Train 1

Train 2

We will fill in this table from the info in the problem then refer back to our drawing. It says that one train is traveling 12 mph faster than the other train. We don't know how fast "the other train" is going, so let's call that rate r. If the first train is travelin 12 mph faster, that rate is r + 12. Let's put that into the table

distance = rate * time

Train 1 r

Train 2 (r + 12)

Then it says "after 2 hours", so the time for both trains is 2 hours:

distance = rate * time

Train 1 r * 2

Train 2 (r + 12) * 2

Since distance = rate * time, the distance (or length of the arrow pointing straight west) for Train 1 is 2r. The distance (or length of the arrow pointing straight east) for Train 2 is 2(r + 12) which is 2r + 24. The distance between them (which is also the length of the whole entire arrow) is 232. Thus:

2r + 2r + 24 = 232 and

4r = 208 so

r = 52

This means that Train 1 is traveling 52 mph and Train 2 is traveling 12 miles per hour faster than that at 64 mph

Step-by-step explanation:

3 0

3 years ago

Solve the following equations x1/3=2 <br> Y-2=9<br> (2s)1/2=9<br> 2n-1=16

Nookie1986 [14]

$x \times \frac{1}{3} = 2 \\ = > x = 2 \times 3 \\ = > x = 6$