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aksik [14]
3 years ago
11

50x+30y= 550 what is x and y

Mathematics
1 answer:
melomori [17]3 years ago
8 0

Answer:

<u>x = 8 and y = 5</u>

Step-by-step explanation:

The question is as following:

what is x and y for the following system of equations:

50x + 30 y = 550 ⇒ (1)

44x + 36 y = 532 ⇒ (2)

Subtract (1) - (2)

∴ 6x - 6y = 18

Divide both sides by 6

∴ x - y = 3

∴ x = 3 + y  ⇒ (3)

Substitute with the value of x at (1)

50(3+y) + 30y = 550

Solve for y

150 + 50y + 30y = 550

80y = 550 - 150 = 400

∴ y = 400/80 = 5

Substitute with the value of y at (3)

∴ x = 3 + y = 3 + 5 = 8

<u>So, x = 8 and y = 5</u>

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multiply each by -1

-5/6 x -1 = 5/6

-7 3/8 x -1 = 7 3/8

-3/11 x -1 = 3/11

Step-by-step explanation:

6 0
3 years ago
HELP ASAP!! A truck starts from a warehouse, which is 8 miles south and 3 miles west of the town center. The truck travels 3 mil
butalik [34]

The answer, I think, is (1, -5);(4,3).

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3 years ago
Find the distance between the points (-3,-2) and (-1, -2).<br> 2<br> V6<br> 4
amm1812

Answer:

2 units. Hope this helps!

5 0
3 years ago
HELP ME PLZZZZZ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!​
Lady bird [3.3K]

Answer:

The answer is 90 winners.

Step-by-step explanation:

Well, we are given three days. The first day has a rate of 13% winning. The second day has a rate of 13% as well. And the third day has a rate of 11%. You can find this simply by dividing the amount of winners by amount of participants. Now, we must find the mean, or average, of these statistics. We will get 12% as the average rate of winners. How did we get this? By simply adding all three (13+13+11) then dividing by three (37/3), which gives us 12% if we round to a whole number. Now, we can take this number and get 12% of 750. How do we do this? Well, 12% is equal to 0.12. So we will multiply 0.12 by 750. This will give us 90. And there you have your answer.

<em>Alternatively</em>, you could add up the total amount of contestants from the three days. You should end up with 1000. Then add up the total amount of winners from the three days. You should get 120. Divide both of these by 4. The winners will now be 40, and the total contestants will be 250. Now multiply both by 3. The amount of contestants will be 750, and the amount of winners will be 90. This way is a bit easier, but does not always work. <u>Do what is best for you!</u>

Hope this helped!

7 0
3 years ago
Can someone please help me solve this?
aleksklad [387]

Answer:

centre = (-5, -4)

radius = 7.42

Step-by-step explanation:

The general form for center-radius is

(x - h)² + (y - k)²= r²

Center = (h, k)

Radius = r

Rearrange the equation.

(x² + 10x) + (y² + 8y) - 14 = 0

Add 14 on both sides.

(x² + 10x) + (y² + 8y) = 14

(10/2)² = 25

(8/2)² = 16

Add 25 and 16 to both sides.

(x² + 10x + 25) + (y² + 8y + 16) = 14 + 25 + 16

Factor left side of the equation.

(x+5)² + (x+4)² = 55

(55) = (7.416198)²

(x+5)² + (x+4)² = 7.42²

The radius is 7.42.

The centre is at (-5, -4).

8 0
3 years ago
Read 2 more answers
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