Solve the expression 5x+2 1/2=15

Solve system of equation using elimination by addition. Will give brainliest!!

DedPeter [7]

Answer:

$x = 2, y = -3$

Step-by-step explanation:

Add the 2 equations together, then solve for x.

$(2x + 2y) + (3x - 2y) = (-2) + (12)\\ 2x + 3x + 2y - 2y = -2 + 12\\5x = 10\\x = 2$

Now that we know the value of x, we can easily find y by substitution.

$3x - 2y = 12\\3(2) - 2y = 12\\6 - 2y = 12\\-2y = 6\\y = -3$

These are the answers

- Kan Academy Advance

5 0

2 years ago

Find the difference. Check your answer by adding. 652,203 - 62,285

Anna11 [10]

The answer is 589,918
Take 652203 and subtract 62,285 from that and you get 589,918

7 0

3 years ago

The blue dot is at what value on the number line? ? -16 -10

Marina CMI [18]

Answer: You need to show the number line in order to get an answer.

6 0

3 years ago

An airplane is traveling at a speed of 240 miles/hour with a bearing of 110°. The wind velocity is 56 miles/hour at a bearing of

vodka [1.7K]

Answer:

Actual speed = 288 miles per hour

Actual direction angle = $116.38^\circ$

Step-by-step explanation:

"Bearing" is the relative position of an object outside the plane compared to the position of the plane.

Heading the the direction the nose of the plane is pointing.

Course is the direction that pilot wants the plane to go.

Wind direction is always the direction the wind is blowing from.

The airplane is traveling at a speed of 240 miles/hour with a bearing of 110°.

If the plane is traveling with a bearing of 110° and the wind is blown at a bearing of 325°.

$325^{\circ}- 110^{\circ} =225^{\circ}$

$215^{\circ}- 180^{\circ} =35^{\circ}$

The Ground speed will be in excess of the airspeed and true direction will be south if the indicated heading.

The tailwind component is:

$56 cos (35^\circ)$

And the cross wind component is:

$56 sin (35^\circ)$

And that is,

$C^2 = (286)^2 + (32)^2$

$c = 288$

So the actual speed of the plane is 288 miles per hour.

The deviation in the direction is:

Let the direction angle be 'x'.

$x = tan ^{-1}\left ( \frac{32}{286} \right )=6.38^\circ$

So the actual direction angle is $110^\circ+ 6.38^\circ=116.38^\circ$ .

5 0

3 years ago

Donnell and Maria are both members of a populationand a simple random sample is being conducted. If the chance of Donnell being

harina [27]

Answer:

289/290

Step-by-step explanation:

Given that the chance of Donnell being selected is 1/290

then P( Donnell being selected )= 1/290

Since Donnell and Maria are both member of a population.

from probability theorem which gives the likely hood of an event to happen which cannot be more than 1, then the probability of Donnell and Maria to be selected is 1

P(Donnell and Maria)= 1

But the chance of Donnell being selected is 1/290

Then,

1/290 + P(Maria)= 1

P(Maria)= 1-(1/290)

= 289/290

the chance of Maria being selected is 289/290

4 0

3 years ago