Is the equation conditional, an identity, or a contradiction? y - 11 + 3y = 6y + 4

Mathematics

1 answer:

ipn [44]3 years ago

8 0

Answer:

The equation is a conditional.

y = 7.5

Step-by-step explanation:

y - 11 + 3y = 6y + 4

4y - 11 = 6y + 4

4y - 4y - 11 = 6y - 4y + 4

- 11 = 2y + 4

- 11 - 4 = 2y + 4 - 4

2y = - 15

2y ÷ 2 = - 15 ÷ 2

y = - 7.5

You might be interested in

Solve the system algebraically by setting the equations ( y= x+2 y= -3x+10 ) equal to each other. Step by step please

Komok [63]

Answer:

x = 2

Step-by-step explanation:

Set the equations equal to each other

x + 2 = -3x + 10

+ 3x + 3x Add 3x to both sides

4x + 2 = 10

- 2 - 2 Subtract 2 from both sides

4x = 8 Divide both sides by 4

x = 2

If this answer is correct, please make me Brainliest!

8 0

3 years ago

153 of the 258 high school students surveyed at a local school said they went outside more during school hours as elementary sch

Juli2301 [7.4K]

Answer-

It is reasonable that the state education department claims the percentage for the entire state is 63%.

Solution-

153 out of the 258 high school students surveyed at a local school said they went outside more during school hours as elementary school students than they do now as high school students.

Here,

x = 153,

n = 258,

Then,

$\text{sample proportion}=p=\dfrac{153}{258}=0.5930=59.30\%$

And,

$\text{Margin Error}=2\times \sqrt{\dfrac{p(1-p)}{n}}$

Putting the values,

$\text{ME}=2\times \sqrt{\dfrac{(0.5930)(1-0.5930)}{258}}\\\\=2\times \sqrt{\dfrac{(0.5930)(0.407)}{258}}\\\\=2\times \sqrt{\dfrac{0.2414}{208}}\\\\=2\times 0.0341\\\\=0.0682\\\\=6.82\%$