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Lelu [443]
3 years ago
5

What is y=\dfrac{2}{3}x+4y=

Mathematics
1 answer:
lara [203]3 years ago
5 0

Answer:

12y+x-12=0

Step-by-step explanation:

If I'm not mistaken by the question, we have

x+4y=\dfrac{2}{3}x+4

Multiply through by the LCM of all the denominators to clear the fractions. Since we have only one fraction, we multiply through by its LCM (3)

3\timesx+3\times4y=3\times\dfrac{2}{3}x+3\times4

3x+12y=2x+12

Putting all terms on the LHS (left hand side) and evaluating,

12y+x-12=0

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SOVA2 [1]

Answer:

1. 168

2. 70

3. 15

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3 years ago
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28 is increased by 150%. what's the final number
sp2606 [1]

Answer:

70

Step-by-step explanation:

20x(1+150%)

28x(1+1.5)

28x2.5

70

5 0
2 years ago
Using Triangle Similarity Theorems (6)
Fantom [35]

Answer:

DC = 3

Step-by-step explanation:

Based on triangle similarity theorem, we would have the following equation:

\frac{AD}{AC} = \frac{AE}{AB}

Plug in the values

\frac{9}{9 + DC} = \frac{12}{12 + 4}

\frac{9}{9 + DC} = \frac{12}{16}

\frac{9}{9 + DC} = \frac{3}{4}

Cross multiply

3(9 + DC) = 9×4

27 + 3DC = 36

Subtract 27 from each side

3DC = 36 - 27

3DC = 9

Divide both sides by 3

DC = 9/3

DC = 3

6 0
2 years ago
Help solve 4 and 5 please
Sloan [31]

Answer:

Step-by-step explanation:

4). a). If the diagonals of a parallelogram are congruent, then it must be a RECTANGLE.

b). If the diagonals of a parallelogram are perpendicular, then it must be a SQUARE.

c). If the diagonals of a parallelogram bisect the angles of the parallelogram, then it must be a RHOMBUS.

d). If the diagonals of a parallelogram are perpendicular and congruent, then it must be a SQUARE.

e). If a parallelogram has four congruent sides, then it must be a SQUARE.

5). Given quadrilateral SELF is a rhombus.

a). All sides of a rhombus are equal,

   Therefore, ES = EL = 25

b). Diagonals of a rhombus bisects the opposite angles,

   Therefore, m∠ELS = m∠FLS

    3x - 2 = 2x + 7

    3x - 2x = 7 + 2

    x = 9

c). Diagonals of the rhombus bisect the opposite angles, and adjacent angles are supplementary.

m∠ELF = 2(m∠ELS) = 2(2y - 9)

m∠LES = 2(m∠LEF) = 2(3y + 9)

And 2(2y - 9) + 2(3y + 9) = 180

(2y - 9) + (3y + 9) = 90

5y = 90

y = 18  

6 0
3 years ago
Imagine that a traffic intersection has a stop light that repeatedly cycles through the normal sequence of traffic signals (gree
Nutka1998 [239]

Answer:

Your answer is 3.61%.

Step-by-step explanation:

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