Answer:
L = 48
Step-by-step explanation:
Given that L varies directly with Z² , then the equation relating them is
L = kZ² ← k is the constant of variation
To find k use the condition L = 12 when Z = 2 , then
12 = k × 2² = 4k ( divide both sides by 4 )
3 = k
L = 3Z² ← equation of variation
When Z = 4 , then
L = 3 × 4² = 3 × 16 = 48
Answer:
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Yes, the two fractions are equivalent because you can find a greatest common factor in both the numbers. In this case, the GCF is 4 because it goes into both 4 and 8. Then, you divide each part of the fraction by 4. Then, you get the answer 1/2. Therefore, the fractions are equivalent.
It is $6.375.
0.5lb:$4.25
0.75lb:$6.375
This is because 0.75lb is 1.5 times greater than 0.5, so you do 4.25*1.5, which is $6.375
