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3 years ago

THIS MY THIRD TIME POSTING THIS QUESTION PLEASE HELP MEE!!!

Mathematics

1 answer:

Alborosie3 years ago

5 0

Answer:

From my thinking prospection the answer should be 18....

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67. The line contains the point (4,0) and is parallel to the line defined by 3x = 2y.

olganol [36]

Answer:

$y=\frac{3}{2} x-6$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

Parallel lines will always have the same slope but different y-intercepts.

1) Determine the slope of the parallel line

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

$3x = 2y$

Switch the sides

$2y=3x$

Divide both sides by 2 to isolate y

$\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x$

Now that this equation is in slope-intercept form, we can easily identify that $\frac{3}{2}$ is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope $\frac{3}{2}$ . Plug this into $y=mx+b$ :

$y=\frac{3}{2} x+b$

2) Determine the y-intercept

$y=\frac{3}{2} x+b$

Plug in the given point, (4,0)

$0=\frac{3}{2} (4)+b\\0=6+b$

Subtract both sides by 6

$0-6=6+b-6\\-6=b$

Therefore, -6 is the y-intercept of the line. Plug this into $y=\frac{3}{2} x+b$ as b:

$y=\frac{3}{2} x-6$

I hope this helps!

7 0

3 years ago

Order the following numbers from least to greatest. 5/4 1 8/25 1.3

Lubov Fominskaja [6]

Answer:

18/25, 5/4, 1.3

Step-by-step explanation:

What you need to do is to divide each fraction so that you can change to a number.

18÷25=0.72

5÷4=1.25

7 0

3 years ago

The employees of a company were surveyed on questions regarding their educational background (college degree or no college degre

taurus [48]

Answer: D) 0.733.

Step-by-step explanation:

Let C denotes the number of employees having college degree and S denote the number of employees are single.

We are given ,

Total = 600 , n(C)=400 , n(S)=100 , n(C∩S)=60

Then,

$n(C\cup S)=n(C)+n(S)-n(C\cap S)\\\\=400+100-60=440$

Now, the probability that an employee of the company is single or has a college degree is

$P(C\cup S)=\dfrac{n(C\cup S)}{\text{Total}}\\\\=\dfrac{440}{600}=0.733333333\approx0.733$

Hence, the probability that an employee of the company is single or has a college degree is 0.733

8 0

3 years ago

Terms that contain the same variable and raised to the same power are called _________.

blondinia [14]

The correct answer is like terms. Hope this helps.

3 0

3 years ago

During the election for class president, 40% of the students voted for Gerardo, 35% of the students voted for Leandro, and 25% o

mrs_skeptik [129]

Answer: 30 students more voted for Gerardo than for Juju.

Explanation:

so 'x' represent the total number of students

0.40x of the students voted for Gerardo

0.35x of the students voted for Leandro

0.25x of the students voted for Juju

70 students voted for Leandro:

0.35x = 70

by solving we find:

x = 200 students

0.40x - 0.25x = (0.40 - 0.25)x = 0.15x = 0.15*200 = 30

8 0

3 years ago