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3 years ago

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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(5x+7)(8x+7) = 0<br>Find the two possible values.

NeTakaya

$(5x + 7)(8x + 7) \\ \\ 5x + 7 = 0 \\ \\ 5x = - 7 \\ \\ x = \frac{ - 7}{5} \\ \\ 8x + 7 = 0 \\ \\ 8x = - 7 \\ \\ x = \frac{ - 7}{8} .$

the values of x are -7/5 and -7/8 .

4 0

2 years ago

Read 2 more answers

−3(y+5)=15 someone please help me with this question my assignment is already late

AnnyKZ [126]

Answer: -10

Step-by-step explanation:

Simplifying

-3(y + 5) = 15

Reorder the terms:

-3(5 + y) = 15

(5 * -3 + y * -3) = 15

(-15 + -3y) = 15

Solving

-15 + -3y = 15

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + -3y = 15 + 15

Combine like terms: -15 + 15 = 0

0 + -3y = 15 + 15

-3y = 15 + 15

Combine like terms: 15 + 15 = 30

-3y = 30

Divide each side by '-3'.

y = -10

Simplifying

3 0

2 years ago

Scott is on his school's academic team. On average, it takes Scott 4 minutes, with a standard deviation of 0.25 minutes, to solv

uysha [10]

Answer:

15.87% is the chance that Scott takes more than 4.25 minutes to solve a problem at an academic bowl.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 4 minutes

Standard Deviation, σ = 0.25 minutes

We standardize the given data.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(more than 4.25 minutes to solve a problem)

$P( x > 4.25) = P( z > \displaystyle\frac{4.25 - 4}{0.25}) = P(z > 1)$

$= 1 - P(z \leq 1)$

Calculation the value from standard normal z table, we have,

$P(x > 4.25) = 1 - 0.8413 = 0.1587 = 15.87\%$

Thus,15.87% is the chance that Scott takes more than 4.25 minutes to solve a problem at an academic bowl.

8 0

3 years ago

When born, a baby weighed 8.5 pounds and gained 1.6 pounds per week for the first 10

ladessa [460]

Answer:

I believe the answer is C

Step-by-step explanation:

if the baby weighted 8.5 pounds when born then that is the initial value therefore the baby will be weighted 1.6 times 10 weeks or w

hope this helps

5 0

3 years ago

What are two factors of 12 whose sum is 7

Liono4ka [1.6K]

Answer:

Well it will be 7+5=12 and 6+6=12

Step-by-step explanation:

5 0

3 years ago