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3 years ago

2/3 - 3/2y + 1/3y + 4 = 0

Mathematics

2 answers:

sveticcg [70]3 years ago

8 0

Answer:

y = 4

Step-by-step explanation:

Please use parentheses for clarity, remembering what big differences they make in expression values.

I will assume that your "2/3 - 3/2y + 1/3y + 4 = 0" actually means

2/3 - (3/2)y + (1/3)y + 4 = 0

The LCD here is 6, which is the product of the denominators 2 and 3.

Then your "2/3 - 3/2y + 1/3y + 4 = 0" becomes:

4 - 9y + 2y + 24 = 0, which simplifies to:

28 - 7y = 0. Solving this, we get y = 4

Korvikt [17]3 years ago

7 0

Answer:

y = 4

Step-by-step explanation:

(2/3 + 4) + (-3/2y + 1/3y) = 0

(-3/2y + 1/3y) = -4 2/3

-9/6y + 2/6y = -14/3

-7/6y = -14/3

cross-multiply:

-21y = -84

y = 4

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Step-by-step explanation:

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3 years ago

12+root of 35 divided by 2 + 12-2 root of 35 divided by 2

nadya68 [22]

So : $12+ \frac{\sqrt{35}}{2} + \frac{12-2 \sqrt{35} }{2}$ ?

First, you want to bring everything together on the top of the fraction.
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Add like terms -- 12 +24 = 36 $\sqrt{35}-2 \sqrt{35} = \sqrt{35}$

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3 years ago

Write an equation of the line that passes through the pair of points (5, 8) and<br> (9, 16).

SashulF [63]

Answer:

D: y = 2x - 2

Step-by-step explanation:

1. $\frac{16-8}{9-5}$ = 2

2. y = 2x + b

3. Insert the points into the equation: 8 = 10 + b

4. b = -2

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6 0

3 years ago

Read 2 more answers

Juan and Franco collect baseball cards. Juan has baseball cards. Franco has 18 fewer baseball cards than Juan. Together they hav

horsena [70]

Answer:

Franco has 66 baseball cards.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of baseball cards that Franco has.

y is the number of baseball cards that Juan has.

Franco has 18 fewer baseball cards than Juan.

This means that:

$x = y - 18$

Also:

$y = x + 18$

Together they have 150 baseball cards.

This means that:

$x + y = 150$

Since $y = x + 18$

$x + x + 18 = 150$

$2x = 132$

$x = \frac{132}{2}$

$x = 66$

Franco has 66 baseball cards.

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3 years ago

A triangle has an angle that measures 90°. What type of triangle could it be? (Choose all that apply)

valentinak56 [21]

Answer:

The triangle could be a right triangle.

Step-by-step explanation:

Right triangles have right angles. (90 degrees). All triangles have 3 angles that add up to 180 degrees. So as long as one of the angles is 90 degrees, it's a right triangle.

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3 years ago

Read 2 more answers

2/3 - 3/2y + 1/3y + 4 = 0​

2/3 - 3/2y + 1/3y + 4 = 0