Add up all the sides only, not the area inside
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!
An easy way to do this is to plug in your answer choices in the correct variable places.
A - 1,5 so 3 (5) -2 = 13 // 8 (1) + 5 = 13
Therefore does 13 = 13? Yes
B. 3,9 so 3 (9) -2 = 25 // 8 (3) + 5 = 29
Therefore does 25 = 29? NO, so choice B is out
C.-4,9 so 3 (9) -2 = 25 // 8 (-4) + 5 = -27
Does 25 = -27? NO, so C is out
D. -2,3 so 3 (3 )-2 = 7 // 8 (-2) + 5 = -11
Does 7 = -11? NO, so D is out
YOUR ANSWER IS A
<span>Three numbers can be defined as x, y, and z.
x + y + z = 64
y = x+3
z = 2x - 11
.
substitute for y and z
x + (x+3) + (2x-11) = 64
4x -8 = 64
4x = 72
x = 18
.
y = x+3 = 21
z = 2x -11 = 2(18) -11 = 36-11 = 25
.
x + y + z = 18 + 21 + 25 = 64
Correct.
.
Answer: The three numbers are 18, 21, and 25.</span>
You add up all the sides then with the fractions you add those up and simplify so it will be 229 4/9<span />
