Answer:
2/4 = 4/8
Numerator multiplication
2 times 2 = 4
Denominator multiplication
4 times 2 = 8
2/4 = 4/8
2/4 and 4/8 simplified = 1/2
Equal
Step-by-step explanation:
Answer: F / 0.15 = 100F / 15 = 20F / 3 ≈ 6.67F.
Explanation:
1) The three expresssions, F / 0.15; 15 F / 100; 3F / 20; are equivalent.
2) The number of figurines Kat owned last year may be expressed in terms of the number the of figurines purchased, F, this year, and the 15%, following this procedure:
- Call n the amount of figurines owned last year.
- F is the number of figurines purchased: F = 15%n = 0,15n
- Hence, you just need to clear F from the expression F = 0.15n
- Divide both sides by 0.15:
F / 0.15 = n or n = F / 0.15 (reflexive property)
- To prove the equialavence of the other expresssions you just have to use the properties of multiplication or division:
(F / 0.15) × (100 / 100) = 100F / 15
100F / 15 = (100/5)F / (15/5) = 20F / 3 ≈ 6.67F
Determine whether the stated conclusion is valid based on the given information. If not, write invalid. Explain your reasoning.
3. Given: If a number is divisible by 4, then the number is divisible by 2. 12 is divisible by four.
Conclusion: 12 is divisible by 2.
SOLUTION:
If p → q is a true statement and p is true, then q. Here, a number divisible 4 is divisible by 2 also and 12 is divisible by 4. So, 12 is divisible by 2 is a valid statement by the Law of Detachment.
ANSWER:
valid; Law of Detachment
4. Given: If Elan stays up late, he will be tired the next day. Elan is tired.
Conclusion: Elan stayed up late.
SOLUTION:
If p is true, then q is true, but q being true does not necessarily mean that p is true. Elan could be tired because he worked out. So, the statement is invalid.
ANSWER:
Invalid; Elan could be tired because he worked out.
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79.47 (total cost before sale) - 9.02 (12% off) = 70.45 (total after sale).
70.45 (total after sale) + 6.32 (tax) = $76.77
Hope this helps!!!
Answer:
12
Step-by-step explanation:
i think that is right
