Three times x is two more than half of y. What is the value of y? Plz explain.

2 answers:

8 0

Three times x: 3x
is two more than half of y: 1/2y + 2

3x = 1/2y + 2

Isolate the y. Note the equal sign, what you do to one side you do to the other. Also do the opposite of PEMDAS.

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

3x - 2 = 1/2y

2(1/2y) = 2(3x - 2)

y = 2(3x - 2)

distribute the 2 to all terms inside the parenthesis

2(3x) = 6x
2(-2) = -4

y = 6x - 4, or D)

hope this helps

attashe74 [19]3 years ago

7 0

Remark
Start with y. Then move over to x and see what it does.

Step one
Find the expression for y
The whole equation = 1/2 y

Step Two
Find the detailed expression for x
3 times x = 3x

Step 3
Add 2 onto y
3x = 1/2 y + 2

Step 4
Equate the 2 parts and solve
1/2 y + 2 = 3x Subtract 2 from both sides.
1/2 y = 3x - 2 Multiply both sides by 2
y = 2*(3x - 2) Whatever is on either side of the minus must be multiplied by 2. That means you use brackets.

y = 6x - 4

D <<<< Answer

You might be interested in

HELP PLEASE!!!! solve for x

LenKa [72]

Answer: how do you solve for this

Step-by-step explanation:

7 0

3 years ago

What are the solutions to the quadratic equation (5y + 6)2 = 24?

lana [24]

To solve for y, apply the distributive property:
$10y + 12 = 24$
Then, subtract 12 from both sides and you will get:
$10y = 12 \\$
Then solve for y, by dividing both sides by 10.

Your final answer will be y=1.2

6 0

3 years ago

Read 2 more answers

A graduate student wanted to estimate the average time spent studying among graduate students at her school. She randomly sample

expeople1 [14]

Answer:

B. The width of the confidence interval would be smaller.

Step-by-step explanation:

By reducing the confidence level from 99% to 95%, the student assumes that there is more uncertainty about the new confidence interval than the previous one. That, being said, since the results aren't as certain, the confidence interval is widened towards a central average point because the new interval isn't as accurate.

Therefore, the answer is B. The width of the confidence interval would be smaller.

3 0

3 years ago

A top-loading washing machine has a cylindrical basket that rotates about a vertical axis. The basket of one such machine starts

damaskus [11]

Answer:

$n_{tot}=44rev$

Step-by-step explanation:

In order to solve this problem we can make use of the following formula:

$\theta=(\frac{\omega_{f}+\omega_{0}}{2})t$

where θ is the total angle the basket has turned, ω is the angular velocity and t is the time.

Generally theta is written in radians and omega is written in radians per second. Now, since the revolutions are directly related to the radians and they want us to write our answer in revolutions, we can directly use the provided speeds in the formula, so we can rewrite it as:

$n=(\frac{f_{f}+f_{0}}{2})t$