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Monica [59]
3 years ago
7

What is the value of y in the solution to the system of equations?

Mathematics
1 answer:
Alex17521 [72]3 years ago
4 0

Answer:

y-value = 8

Step-by-step explanation:

1/3x + 1/4y = 1 is the same as 4/12x + 3/12y = 1

which is the same as (4x + 3y)/12 = 1

which is the same as 4x + 3y = 12

add both equations and the 'y' will cancel and you will have 6x = -18

x = -3

2(-3) - 3y = -30

-6 - 3y = -30

-3y = -24

y = 8

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HJ
Olin [163]

Answer:

19 degrees

Step-by-step explanation:

From the question given

The interior angles are x+12 and x - 3

Exterior angle is <IJK = 5x-6

Using the rule that states that the sum of interior angle of a triangle is equal to the exterior

<JHI + <HIJ = <IJK

x+12 + x-3 = 5x - 6

2x+9 = 5x -6

2x - 5x = -6-9

-3x = -15

x = -15/-3

x = 5

Get <IJK

Recall that <IJK = 5x - 6

<IJK = 5(5) - 6

<IJK = 25-6

<IJK = 19 degrees

Hence the measure of <IJK is 19 degrees

8 0
3 years ago
A survey was sent out to local households regarding the constitution of a new restaurant In the area. 84 households responded to
Alex_Xolod [135]

Answer:

84<1/4h

Step-by-step explanation:

8 0
3 years ago
78% of students in the 7th grade
irina1246 [14]

Answer:

77

Step-by-step explanation:

percentage         Students

78%--------------     -273

100%--------------      ---X

(100x273)/78 = 350 students in class so

how many did  not pass?​

350-273 = 77 students not pass

6 0
3 years ago
Read 2 more answers
What are all the properties of math ?
wel
Distributive property, commutative property, and associative property (I believe. I tried my best but I’m not completely sure that I’m correct. Good luck!)
4 0
3 years ago
75 - 3.5x - 4x = 4x + 6
stepladder [879]

Answer:

x = 6

Step-by-step explanation:

Step 1: Write equation

75 - 3.5x - 4x = 4x + 6

Step 2: Solve for <em>x</em>

  1. Combine like terms: 75 - 7.5x = 4x + 6
  2. Add 7.5x on both sides: 75 = 11.5x + 6
  3. Subtract 6 on both sides: 69 = 11.5x
  4. Divide both sides by 11.5: 6 = x
  5. Rewrite x = 6

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

75 - 3.5(6) - 4(6) = 4(6) + 6

75 - 21 - 24 = 24 + 6

54 - 24 = 30

30 = 30

3 0
3 years ago
Read 2 more answers
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