2x - 11
-9 + x
equate the equations
2x - 11 = -9 + x
bring like terms to one side
2x - 11 = -9 + x
- x +11 +11 - x
-11 and +11 cancels out
+x and -x cancels out
2x - x = 11 - 9
x = 2
Answer:
He has written about 100 times as many words.
Step-by-step explanation:
In order to find this, we first need to find the number that he has written this month. In order to do so, we need to subtract the previous month from the current total.
12,580 - 125 = 12,455
Now that we have that number, we can divide it by the previous month to see how many times more words he wrote in the second month.
12,455/125 = 99.64 times more, or rounded, about 100 times more.
Answer:
512 in³
Step-by-step explanation:
The height perpendicular to the base is the leg of a right triangle with hypotenuse 10 in and other leg 8 in. Using the Pythagorean theorem, we can find it as ...
h² +8² = 10²
h² = 100 -64 . . . . . subtract 8²
h = 6 . . . . . . . . . . . . take the square root of 36
Then the volume is found using ...
V = (1/3)Bh = (1/3)(16 in)²(6 in) = 512 in³
The volume is 512 cubic inches.
_____
The 8-inch dimension used above comes from half the distance between the center of one side of the base to the center of the opposite side. (16 in)/2 = 8 in.
Answer:
f(1/2) = -2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 8x - 6
f(1/2) is x = 1/2
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: f(1/2) = 8(1/2) - 6
- Multiply: f(1/2) = 4 - 6
- Subtract: f(1/2) = -2
The decimal for this would be 7.575
Hope this helped :)
