Answer:
120 inches long in total becuase 12x10 is 120.
Answer:
14
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Functions
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = -2x + 3
g(x) = 2x + 3
f(3) is x = 3 for function f(x)
g(7) is x = 7 for function g(x)
<u>Step 2: Solve</u>
- Substitute in <em>x</em> [Functions]: f(3) = -2(3) + 3, g(7) = 2(7) + 3
- Substitute in functions: f(3) + g(7) = -2(3) + 3 + 2(7) + 3
- Multiply: f(3) + g(7) = -6 + 3 + 14 + 3
- Add: f(3) + g(7) = -3 + 14 + 3
- Add: f(3) + g(7) = 14
Answer: x ≤ 120
Step-by-step explanation: To get <em>x</em> by itself in this inequality, since it's being divided by -6, we must multiply both sides by -6, just like we would if we were solving an equation, but here is the trick you have to watch out for with inequalities.
When you multiply or divide both sides of an inequality by a
negative, you <u>must</u> switch the direction of the inequality sign.
So our second step in this problem reads x ≤ 120.
<u>Please give this idea your full attention.</u>
<em>Even the most advanced algebra students will sometimes forget to switch the direction of the inequality sign when multiplying or dividing both sides of an inequality by a negative.</em>
Answer:
-39
Step-by-step explanation:
Simplify the following:
36/((-12)/13)
Multiply the numerator of 36/((-12)/13) by the reciprocal of the denominator. 36/((-12)/13) = (36×13)/(-12):
(36×13)/(-12)
The gcd of 36 and -12 is 12, so (36×13)/(-12) = ((12×3) 13)/(12 (-1)) = 12/12×(3×13)/(-1) = (3×13)/(-1):
(3×13)/(-1)
3×13 = 39:
39/(-1)
Multiply numerator and denominator of 39/(-1) by -1:
Answer: -39
Answer:
113
Step-by-step explanation:
The given shape has 6 angles so it's a hexagon and the sum of interior angles in a hexagon is = 720
To find the the value of x we need to add all given values up and subtract it from 720:
88 + 142 + 105 + 136 + 136 + x = 720
607 + x = 720 subtract 607 from both sides
x = 113
