How To Solve The Equation 3(x-6)=10x+3 ?

Answers

Answer 1

Answer: 3(x-6)=10x+3

Expand the left side:

3x-18 = 10x + 3

Subtract 3x from each side:

-18 = 7x + 3

Subtract 3 from each side:

-21 = 7x

Divide each side by 7 :

-3 = x

Answer 2

Answer: $3(x-6)=10x+3\n 3x-18=10x+3\n 7x=-21\n x=-3$

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Can someone find slope ?
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If y varies directly with x and x=4 when, y=20, find k, the constant of variation.
Which of the following is the solution to the equation 25^(z − 4) = 125?
Anna invests $875 into an account and receives 4% simple interest for 24 months. How much simple interest will she earn??

Which of the following expressions is the inverse of the function y equals quantity x minus 2 divided by 3

Answers

$y=(x-2)/(3)\ \ \ \ |change\ x\to y\ and\ y\to x\n\nx=(y-2)/(3)\to(y-2)/(3)=x\ \ \ \ |multiply\ both\ sides\ by\ 3\n\ny-2=3x\ \ \ \ |add\ 2\ to\ both\ sides\n\n\boxed{y=3x+2}\leftarrow answer$

Which sample size out of a population of 1,000 is most likely to lead to a valid conclusion?50
100
150
200

Answers

200, because the more samples you have the more correct you will be.

Answer:

Step-by-step explanation: 200 more people better accuracy

Rory walks a combined 7/8 of a mile to school and back each day. How many miles does he walk each way?

Answers

Whats half of 7/8?
1/2*7/8= 7/16 of a mile

Round all the way 2689

Answers

2689

rounded to the nearest tens = 2690
rounded to the nearest hundreds = 2700
rounded to the nearest thousands = 3000

If the number before the place it needs to be round off is 5 and above, then it is rounded up. If the number is 4 and below, it is rounded down.

For example:
2444

rounded to the nearest tens = 2440
rounded to the nearest hundreds = 2400
rounded to the nearest thousands = 2000

Write the equations of two lines whose graphs are perpendicular to one another

Answers

Write 2 equations in slope - intercept form: y = mx + b
The slopes of perpendicular lines are negative reciprocal of each other. That is, if you have a slope of 2/3, the perpendicular slope will be -3/2.
y = 2/3x + 3
is perpendicular to
y = -3/2x - 9
Only the slope matters in the equations. The y-intercept can be anything. I randomly chose +3 and -9.

Final answer:

Perpendicular lines have slopes that are negative reciprocals of each other. By using the slope-intercept form of a linear equation, you can find two equations for lines that are perpendicular to each other. An example pair of equations is y = 2x + 1 and y = (-1/2)x + 3.

Explanation:

In order for two lines to be perpendicular, their slopes must be negative reciprocals of each other. Let's say the equation of the first line is y = mx + b, where m is the slope. The equation of the second line that is perpendicular to the first line would have a slope of -1/m. So, you can choose any values for m and b for the first line and then find the slope of the second line using -1/m.

For example, let's say the equation of the first line is y = 2x + 1. The slope of this line is 2. The equation of the second line that is perpendicular to the first line would have a slope of -1/2. So, an example equation for the second line could be y = (-1/2)x + 3.

Therefore, two example equations of lines that are perpendicular to each other are y = 2x + 1 and y = (-1/2)x + 3.

Learn more about Perpendicular Lines here:

brainly.com/question/18271653

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Katie spent $465 on DVDs and CDs. The CDs cost $15 each, and the DVDs cost $19 each. A total of 27 CDs and DVDs were purchased. How many of each did she buy?(solve by substitution or elimination methods only)

Answers

Answer:

12 CDs and 15 DVDs

Step-by-step explanation:

Let

x----> the number of CDs

y---> the number of DVDs

we know that

x+y=27 -----> x=27-y ----> equation A

15x+19y=465 ----> equation B

Solve by substitution

substitute equation A in equation B and solve for y

15(27-y)+19y=465

405-15y+19y=465

4y=465-405

4y=60

y=15 DVDs

Find the value of x

x=27-y

x=27-15=12 CDs

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