Answer:
a) <em>"K" is proportional Constant K= 0.0833</em>
<em>b) The value of b = 99.639</em>
Step-by-step explanation:
<u><em>Explanation</em></u> :-
Given 'a' is directly proportional to 'b'
a ∝ b
<em> a = k b ....(i)</em>
<em>where "K" is proportional Constant</em>
<u><em>Case(i)</em></u><em>:-</em>
<em>when a =6 and b=72</em>
<em> a = k b </em>
<em> ⇒ 6 = k (72)</em>
<em> ⇒ </em>
<em> </em>
<u><em>Case(ii)</em></u><em>:- </em>
<em> Given a = 8.3 </em>
<em> a = k b </em>
<em>⇒ 8.3 = 0.0833 ×b</em>
<em>⇒ </em>
<em></em>
<u><em>Final answer</em></u><em>:-</em>
a)<em>"K" is proportional Constant K= 0.0833</em>
<em>b) The value of b = 99.639</em>
<em></em>
<em></em>
<em></em>
<em></em>
Given that Lana received 18 ounces of candy and Tom received 4 times as much candy as Lana received, then the number of candy Tom received is given by 4(18) = 72.
Now, given that Tom divided his candy evenly into 9 piles. Then the number of ounces of candy in each of Tom's piles is given by:
72/9 = 8 ounces.
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (4, -2)
Point (-1, 8)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute in points [Slope Formula]:

- [Fraction] Add/Subtract:

- [Fraction] Divide:
<em><u>
</u></em>
Answer:
Option 3
Step-by-step explanation:
33 / 3 + 10 = 21
1.) 5(3 + 5) = 40
2.) 10(1 + 1) = 22
3.) 3(6 + 1) = 21