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SIZIF [17.4K]
3 years ago
10

Solve for P: 9(p−4)=−18 Please Explain

Mathematics
1 answer:
vekshin13 years ago
3 0

Answer:

<em>p</em> = 2

Step-by-step explanation:

Happy to help.

When we have numbers in parenthesis, we generally want to deal with those first. However, we can hit a rough patch when a variable is in there. Consider this:

2(3 + 4) = 2(7), or 14.

But, the two can also be distributed into both numbers in the parenthesis, like this:

2(3 + 4) = 2*3 + 2*4

That leaves us with the same answer—14! We can apply this to a variable, and that will help us figure out 9(<em>p</em> - 4), or the left side of your equation you presented.

9(<em>p</em> - 4) = -18

9*<em>p</em> - 9*4 = -18

9<em>p</em> - 36 = -18

Add 36 on both sides to isolate the variable (in this case, <em>p)</em>

9<em>p</em> = -18 + 36

You can also write it like this; 9<em>p</em> = 36 - 18

9<em>p</em> = 18

Divide 9 to isolate <em>p</em>

<em>p</em> = 2

So, we would get (<em>p</em> = 2). Make sure to practice a few more questions like these to really get the hang of it—you'll be using this a lot in the future!

Good luck!

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How many times greater is the population of China than the population of France
jekas [21]

Answer:

China is about 17 times bigger than France.

Meanwhile, the population of France is ~67.1 million people. (1.3 billion more people live in China).

Step-by-step explanation:

4 0
3 years ago
What are the missing coordinates? My teacher said it was (h-m,n), but I’m saying it is (h+m,n). Could anyone help?
antiseptic1488 [7]

Answer:

  • <u>You are right, the coordinates are</u>:

                                                               (h+m,n)

Explanation:

Here is how you can proove that you are right.

Note that m is the x-coordinate of the point   (m,n) . Since this point is to the left of the y-axis, it is a negative number, but the negative sign is included in m.

The distance from   (m,n)   to the y-axis is not m but -m.

That is the same distance from the point with the missing coordinates to the point (h,0).

Then, the missing x-coordinate is    h-(-m)=h+m.

Of course, there is not doubt about the y-coordinate: it is n, because the point with the missing coordinates is at the same height as (m,n).

Hence, the missing coordinates are x = h+m, and y = n: (h + m, n).

3 0
2 years ago
In rectangle ABCD, point E lies half way between sides AB and CD and halfway between sides AD and BC. If AB=3 and BC=2, what is
Alex777 [14]

Answer:

<em>The area of the shaded region is 3.</em>

Step-by-step explanation:

Since point E lies halfway between AB and BC, the area of the shaded region (As) consists of two identical triangles with base equal to AB and height equal to half the measure of BC:

A_s=2 * A_t

Where At is the area of each triangle.

\displaystyle A_t=\frac{AB*BC/2}{2}

\displaystyle A_t=\frac{AB*BC}{4}

We know AB=3 and BC=2, thus:

\displaystyle A_t=\frac{3*2}{4}=\frac{6}{4}

Simplifying:

\displaystyle A_t=\frac{3}{2}

Finally:

\displaystyle A_s=2 * \frac{3}{2}

A_s=3

The area of the shaded region is 3.

Note the area of the shaded region is half the area of the rectangle.

3 0
2 years ago
A mosquito is walking at random on the nonnegative number line. She starts at $1$. When she is at $0$, she always takes a step $
nikitadnepr [17]

Answer:

The expected number of times is 4.

Step-by-step explanation:

Looking at the question, we see that this follows a geometric distribution because it is asking for the expected number of trials hat will bring about the FIRST SUCCESS. The probability of success is

\frac{1}{4}

Since it is a geometric distribution, we know that the expected value of a random variable X, E(X) that follows a geometric distribution is given as:

E(X) = 1/p where p is the probability of success.

Therefore, the expected number of times will be

E(X) = 1/(1/p) = 1/(1/4) = 4.

Hence, the expected number of times is 4.

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irina [24]

$21 it will cost for lollipop

5 0
3 years ago
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