Write the equation in standard form 6x=y+3

Answers

Answer 1

Answer: The standard form of this equation is 6x - y = 3. Standard form is Ax + By = C, where A and B are the coefficients for x and y, and C is the number without a variable attached, or the constant. We just need to do a bit of algebra to get the equation in standard form.

6x = y + 3 Given
6x - y = 3 Subtract y from both sides

Hope this helps!

Answer 2

Answer: standard form is ax+by=c
6x=y+3
lets move the y over to left side
minus y from both sides
6x-y=3

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Domain and Range of a linear function

Answers

Answer:

domain is the lenght of the road (in miles)

range is the number of days

Step-by-step explanation:

domain is the input because there building the road that is the input because the number of days is the output (range) because that is what happens from working on the roads (the input) what come out is the days they worked on the road

Write 60/100 as a percent

Answers

The characters " /100 " mean " % ".

So " 60/100 " can be written "60%".

if it's out of 100, the answer is just the numerator, in this case 60%

Melinda and Paul shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paul shoveled for 25 minutes to complete 345 square feet of driveway.30x + 30y = 450
20x + 25y = 345
How much more can Paul shovel in 1 minute than Melinda?

3 square feet per minute
6 square feet per minute
9 square feet per minute
15 square feet per minute

Answers

Melinda and Paul shovel driveways and sidewalks in the winter as a way to earn extra money. Melinda can shovel in 1 minute and Paul can shovel in 9 square feet per minute.

Answer: Hello mate!

we have the system of equations

30x + 30y = 450

20x + 25y = 345

where x is the number of square feet of snow that Melinda shovels in one minute, and y is the number of square feet of snow that Paul shovels in one minute.

Let's solve the system of equations, first, isolate one of the therms in the first equation, for example, x.

30x+30y = 450

x + y = 450/30 = 15

x = 15 - y

now we can replace it in the second equation and solve it for y.

20x + 25y = 345

20(15 - y) + 25y = 345

300 - 20y + 25y = 345

5y = 45

y = 45/5 = 9

Paul can shovel 9 square feets of snow in one minute, now replace it in the first equation and solve it for x.

x + y = 450/30 = 15

x + 9 = 15

x = 15 - 9 = 6

so melinda sholves 6 square feet of snow in one minute.

The question is:

How much more can Paul shovel in 1 minute than Melinda?

We need to see the difference y - x = 9 - 6 = 3

this means that paul shovels 3 more square feet per minute than Melinda.

If the shadow of a pole 12m high is 2/3 of its length, what is the angle of elevation of the sun?

Answers

To find the angle of elevation of the sun, you can use the tangent function. Given that the shadow of the pole is 2/3 of its length (12 meters), you can set up the following trigonometric relationship:

tan(angle of elevation) = (height of the pole) / (length of the shadow)

tan(angle of elevation) = 12 / (2/3 * 12)

Now, calculate the length of the shadow:

2/3 * 12 = 8 meters

So, tan(angle of elevation) = 12 / 8

tan(angle of elevation) = 3/2

To find the angle of elevation, take the arctan (inverse tangent) of 3/2:

angle of elevation = arctan(3/2)

Using a calculator or trigonometric tables:

angle of elevation ≈ 56.31 degrees

So, the angle of elevation of the sun is approximately 56.31 degrees.

I need to find how many solutions does the system have.

Answers

From what I got there is one real solution :)

Rearrange the second equation to give y=2-2x, substitute into the first equation to give you a value for x and then using that you can work out y for the exact coordinates of intersection :)

Also they are both straight line graphs so they will either have one or no solutions

Hope this helped :)

3 12 Find the nth term of each sequence. (a) -1, -3, -5, -7, -9, .