All categories

3 years ago

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

Mathematics

1 answer:

vekshin13 years ago

3 0

Answer:

p = 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(p - 4), or the left side of your equation you presented.

9(p - 4) = -18

9*p - 9*4 = -18

9p - 36 = -18

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

9p = -18 + 36

You can also write it like this; 9p = 36 - 18

9p = 18

Divide 9 to isolate p

p = 2

So, we would get (p = 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!

You might be interested in

Two ladders are leaning against a wall at the same angle, as shown. How long is the short ladder? (The long ladder is 70×50) (Th

Ahat [919]

Idk but add me on epic my username is APB1203

6 0

3 years ago

Someone plz help me with this plz

kolezko [41]

Answer:

NOt finished

Step-by-step explanation:

PAGE 1

1.) enlargement b/c the number is more that 1

2.) reduction b/c the number is less than 1

3.) enlargement b/c the number is more than 1

4.) reduction b/c the number is less than 1

5.) reduction k = 1/3

6.) enlargement k = 5/2 or 2.5

PAGE 2

7.) reduction k = 1/3

8.) enlargement k = 2

PAGE 3

Screen shot

PAGE 4

screen shot

PAGE 5

screen shot

I WILL DO THE SCREENSHOTS TOMORROW

7 0

3 years ago

Javier and his friends go out to eat. The restaurant they chose automatically adds a 15% gratuity to their food bill since they

siniylev [52]

well, we know that 213.90 includes the 15% gratuity, so if the meal price was say "x", namely that is the 100%, and we add 15% to that, then 100% + 15% = 115%, so 213.90 is really the 115%.

now, if 213.90 is the 115.%, what is "x"? the 100%.

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 213.90&115\\ x&100 \end{array}\implies \cfrac{213.9}{x}=\cfrac{115}{100}\implies 21390=115x \\\\\\ \cfrac{21390}{115}=x\implies 186=x$

so since we know the meal without the tip is 186 bucks, the tip was then 213.90 - 186 = 27.90.

but they got extra potato wedges with butter and the waitress was wearing her best hat, they added $20 more, so the tip ended up as 27.90 + 20 = 47.90.

now, if the cost of the meal was $186 and that is the 100%, what is 47.90 off of it in percentage?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 186&100\\ 47.90&x \end{array}\implies \cfrac{186}{47.90}=\cfrac{100}{x}\implies 186x=4790 \\\\\\ x=\cfrac{4790}{186}\implies x\approx \stackrel{\%}{25.75}$

7 0

3 years ago

Read 2 more answers

Help pls haha also Merry Christmas

MArishka [77]

Answer:

x = √39

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Identify

Leg a = x

Leg b = 5

Hypotenuse c = 8

Step 2: Solve for x

Substitute [PT]: x² + 5² = 8²
Isolate x term: x² = 8² - 5²
Exponents: x² = 64 - 25
Subtract: x² = 39
Isolate x: x = √39

3 0

3 years ago

Read 2 more answers

Circle O and triangle OQR are shown below. What is the length of OQ?

zysi [14]

Answer:

Step-by-step explanation:

A circle is inscribed in an equilateral triangle PQR with centre O. If angle OQR = 30°, what is the perimeter of the triangle?

This is a circle inscribed in an equilateral triangle with side s.

If you are asking for the perimeter of PQR, it is 3s.

If you are asking for the perimeter of OQR, it is (3+23–√3)s

Since OR and SR are the hypotenuses of right triangles with adjacent side equal to ½ s, their length is ½s / cos 30° = (√3) /3.

(3/3)s + ((√3) /3)s + ((√3) /3)s = ((3 + 2√3)/3)s ≈ 2.1547s

Hope it helps

help me by marking as brainliest....

3 0

2 years ago