You Have Passed Thy Test!!! BADAAAA (\•o•/)
This is the concept of scale factors, given that the length of the model which has been modeled by scale factor 1/64 is 0.39 inches, then the actual diameter will be:
scale scale factor=(model diameter)/(actual diameter)
where:
actual diameter=(model diameter)/(scale factor)
=0.39/(1/64)
=24.96 inches
Statement: If p, then q
Inverse: If q, then p
Converse: If not p, then not q
Contrapositive: If not q, then not p.
We can see from the statement that p = brush teeth twice a day and q = not get cavities.
Thus:
Inverse: If I don't get cavities, then I brush my teeth twice a day. FALSE (for example, I might floss extra well instead. Brushing my teeth twice a day is not the only way to avoid cavities)
Converse: If I don't brush my teeth twice a day, then I get cavities. FALSE (for example, I might not eat a lot of sugar and thus I don't get cavities)
Contrapositive: If I get cavities, then I did not brush my teeth twice a day. TRUE
If this confuses you, try the example of p = cat and q = four legs. (i.e. the statement is If this is a cat, it has four legs). Try making the inverse, converse, and contrapositive, and see the truth of those statements.
If you would like to know how many pints should Jake measure, you can calculate this using the following step:
1 pint ... 2 cups
x pints = ? ... 8 cups
1 * 8 = 2 * x
8 = 2 * x /2
x = 8/2 = 4 pints
The correct result would be 4 pints.
Answer:
24f + 12g - 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
4(6f + 3g - 1)
<u>Step 2: Expand</u>
- [Distributive Property] Distribute 4: 4(6f) + 4(3g) + 4(-1)
- Multiply: 24f + 12g - 4
