Consider the equation 3p – 7 + p = 13. What is the resulting equation after the first step in the solution?

Answers

Answer 1
Answer: 4p-7=13
After the first step which is combining like terms, so add the 3p and the single p together.

Next, the negative 7 turns to a positive when we exterminate it from one half of the equation and add it towards the second part.
4p-7=13
+7. +7
4p=20

Divide both sides by 4 to get the p alone.

4p=20
/4. /4

P=5
That is the answer to the entire equation, again though the first step answer is at the very top, i just felt like solving it for you as well.


Answer 2
Answer:

The resulting equation is 4p - 7 = 13 option fourth 4p - 7 = 13 is correct after adding like terms.

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a linear equation:

3p – 7 + p = 13

After adding like terms

4p - 7 = 13

The above equation is the resulting equation after the first step in the solution.

Thus, the resulting equation is 4p - 7 = 13 option fourth 4p - 7 = 13 is correct after adding like terms.

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You randomly choose a marble from a jar. The jar contains 4 red marbles, 10 blue marbles, 7 green marbles, and 6 yellow marbles. Find the probability of the event. Not choosing a blue marble.

Answers

The probability of not choosing a blue marble is 17/27.

What is probability?

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

Number of red marbles = 4

Number of blue marbles = 10

Number of green marbles = 7

Number of yellow marbles = 6

The event is the probability of not choosing a blue marble is

(red+green+yellow)/(Total marbles)

(4+7+6)/(27)

(17)/(27)

Hence we can conclude that the the probability of not choosing a blue marble is 17/27.

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Answer:

17/27

Step-by-step explanation:

Since there are 10 blue marbles, and 27 total marbles, the probability of not choosing a blue marble is 17/27 because you subtract the amount of blue marbles (10) from the amount of total marbles (27).

X^2 + 3x - 18 = 0
Solve using the quadratic formula

Answers

x^2+3x-18=0\n\na=1;\ b=3;\ c=-18\n\n\Delta=b^2-4ac\to\Delta=3^2-4\cdot1\cdot(-18)=9+72=81\n\nx_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\sqrt\Delta=√(81)=9\n\nx_1=(-3-9)/(2\cdot1)=(-12)/(2)=-6;\ x_2=(-3+9)/(2\cdot1)=(6)/(2)=3
x+6 and x-3 in which the absolute value would be if a positive 3 and a negative 6

Sketch one cycle of the sine curve. y = -3 sin 4theta

Answers

Answer:

Step-by-step explanation:

We have been given a function:

y=-3sin4\theta

We will compare it with the genral equation which is:

y=asin bx+c

Where, a is amplitude and period of function is (2\pi)/(b)

In given equation a is -3 and b is 4

So, period of the given equation is:

(2\pi)/(4)=(\pi)/(2)

Yo can look at the graph in the attachment.

The a is the amplitude and the period of the function is (2\pi )/(b)

We have been given a function

y = -3 sin 4 \theta

What is the general form of sin wave?

y=asinbx+c

We will compare it with the general equation which is

Where a is amplitude and period of the function is (2\pi )/(b)

In the given equation a is -3 and b is 4

So, the period of the given equation is:

(2\pi )/(4) =(\pi )/(2)

You can look at the graph.

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How to solve this problem

Answers

Well given the fact that the available answers aren't completely solved out, I would say you only need to get rid of the power. Distribute it out to the 4 coefficient and the degrees. You should end up with answer B.

X+y=10 , x+z=20 , y+z=24, x+y+z=???
and why??

Answers

+\left\{\begin{array}{ccc}x+y=10\nx+z=20\ny+z=24\end{array}\right\ \ \ \ \ add\ both\ sides\n----------\n2x+2y+2x=54\ \ \ \ |divide\ both\ sides\ by\ 2\n\nx+y+z=27

I need help with 10. A-C please

Answers

A. first total salary (S) is what is being found so put that on one side of the equal side, then 100 dollars are being made and this is not changed so we don't need a variable, put that on the other side of the equal sign.  and since sales (X) is changing, keep the variable, 30% of that is added to the salary, so multiply that by x (first turn it into a decimal, divide it by 100) and add that to the initial 100

S=100+.3X

B. do the same thing above but with a new decimal and initial salary

S=150+.15X

C. since they both need to be equal (S=S) you can replace the S on one equation with the other

100+.3X=150+.15X