Solve: 3x + 1 = 3


With working out

Answers

Answer 1
Answer: 3x + 1 = 3 \n  \n3x + 1-1 = 3 -1\n \n  3x = 2 \n \n (3x)/(3) = (2)/(3)  \n \n  x = (2)/(3)



Answer 2
Answer: 3x+1 =3 \n  \n 3x  =3 -1 \n  \n 3x =2 \n  \n  \n  (3x)/(3)  =  (2)/(3)  \n  \n x  =  (2)/(3)   \n  \n \framebox[1.1\width]{Good Luck!} \par

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2x-7y=16, 3y=7-x solve by elimination

Answers

Answer:

To solve the system of equations using elimination, we need to eliminate one variable by adding or subtracting the equations. Let's start by rearranging the first equation in standard form:

2x - 7y = 16

Next, let's rearrange the second equation so that both equations have the same number of x or y terms:

3y = 7 - x

We can rewrite this equation as:

x + 3y = 7

Now we have the following system of equations:

2x - 7y = 16

x + 3y = 7

To eliminate the y variable, we can multiply the second equation by 7:

7(x + 3y) = 7(7)

This gives us:

7x + 21y = 49

Now we can subtract the first equation from this equation:

(7x + 21y) - (2x - 7y) = 49 - 16

Simplifying the equation gives us:

7x + 21y - 2x + 7y = 33

Combining like terms, we get:

5x + 28y = 33

Now we have a new equation with only x and y terms. We can solve for one variable and substitute it back into either of the original equations to find the value of the other variable.

Step-by-step explanation:

A businessman has 10 employees. His salary is equal to 6 times the average of employees salaries. If the 11 of them receive a total of $64,000 in one year, what was the business mans salary that year ??  a) $4000, b) $6000, c) $24,000, d) $ 40,000, e) $44,000

Answers

business man's salary = x
employee's salary = y

x + 10y = 64000
x = 6y

(6y) + 10y = 64000
16y = 64000
y = 4000

x = 6(4000)
x = 24000

Answer: (c) $24,000

Perform the indicated operations and express answers in simplest form.

3/x + 2/y - 4/xy

Answers

This will reqiure cross multiplication. We multiply by crossing the denominators and numerators. This is the solution : -

3/x + 2/y - 4/xy

= 3y+2x/xy - 4/xy                 (xy is common denominator)

=          3xy + 2x - 4
                  xy

complete the following sentence you can verify the zeros of the function y=x^2+6x-7 by using a graph and finding where the graph

Answers

The graph crosses the X-AXIS.

A scientist is testing the effectiveness of a new medicine. The medicine is to be tested on two genetically identical lab rats. One rat receives a placebo pill, while the other rat receives the actual medicine. Which of the following methods is being used to investigate the effectiveness of the medicine?

Answers

Answer: on plato its controlled experiment

Step-by-step explanation:

I would instantly rule out Survey and Seperation Study because 1) a survey is impossible in this instance, and 2) a seperation study will do nothing. It's just moving them apart from eachother. So that leaves Controlled Experiment and Observational Study. An observational study is when you have no control over the groups of subjects, nor what they are given. A controlled experiment is when you change only one aspect of what is given to the group. Since the only thing that is happening is the scientist is giving one rat a real pill, it would fall under controlled experiment. Thus, that is your answer.
Hope I helped ^.^

A cylinder has a radius of 30 ft and a height of 19 ft. What is the exact surface area of the cylinder?

Answers

A=2\pi r(r+h)\n A=2\pi\cdot30\cdot(30+19)\n A=60\pi\cdot49\n A=2940\pi\hbox{ ft}^2
SA=2(pi)rh+2(pi)r^2

SA=2(pi)(30)(19)+2(pi)(30^2)

SA=2(pi)(30)(19)+2(pi)(900)

SA=3581.3+5654.7

SA=9236

9236 square feet