We know that Frank is 1/4 Dana's age, so if Frank is represented by f, and Dana is represented by d, then the equation would be
1/4d = f
<span>Secondly, we know that Neil's age is one-half the difference between Dana's and Frank's ages. Because of we learned that Frank is a fraction of Dana's age, we can infer that he is younger than Dana. So, if Neil's age is represented by the variable n, then the equation would be
1/2(d - f) = n
Finally, if we know that Dana is 16 years old, we can find out the other siblings ages using the equations we made above.
d=16
1/4d = f
1/4(16) = f
4 =f
</span>1/2(d - <span>f) = n
</span>1/2(16-4) = n
1/2(12) = n
6=n
Therefore, Frank is 4 years old and Neil is 6 years old.
Explanation of what exactly
Answer:
a) 1 tsp.
b) 1.5 tsp.
c) 2 tsp.
Step-by-step explanation:
Complete Correct Question
Animals: The label on a bottle of pet vitamins lists dosage guidelines. What dosage would you give to each of these animals? (a) a 18 kg adult dog (b) a 6 kg cat (c) 18 kg pregnant dog
- The dosage listed for adult dog is 1/2 tsp per 9 kg dog weight.
- The dosage listed for adult cat is 1/4 tsp per 1 kg weight.
- The dosage listed for pregnant dog is 1/2 tsp per 4.5 kg dog weight.
Solution
a) 18 kg adult dog
The dosage listed for adult dog is 1/2 tsp per 9 kg dog weight.
9 kg dog weight = (1/2) tsp
18 kg adult dog = (18/9) × (1/2) = 1 teaspoon.
b) 6 kg cat
The dosage listed for adult cat is 1/4 tsp per 1 kg weight.
1 kg cat = (1/4) tsp
6 kg cat = (6/1) × (1/4) = (6/4) = 1.5 teaspoons.
c) 18 kg pregnant dog
The dosage listed for pregnant dog is 1/2 tsp per 4.5 kg dog weight.
4.5 kg dog weight = (1/2) tsp
18 kg pregnant dog = (18/4.5) × (1/2) = 2 teaspoons.
Hope this Helps!!!
I found the same problem but with given choices:
A.1 year
<span>B.2 years </span>
<span>C.3 years </span>
<span>D.4 years </span>
<span>E.6 years
</span>
profit = total revenue - total cost
p(x) = x³ - 4x² + 3x - 12
simply plug each choices to solve. answer must be 0.
A) p(1) = 1³ - 4(1²) + 3(1) - 12 = 1 - 4 + 3 - 12 = -12
B) p(2) = 2³ - 4(2²) + 3(2) - 12 = 8 - 16 + 3 - 12 = -17
C) p(3) = 3³ - 4(3²) + 3(3) - 12 = 27 - 36 + 9 - 12 = -12
D) p(4) = 4³ - 4(4²) + 3(4) - 12 = 64 - 64 + 12 - 12 = 0
E) p(6) = 6³ - 4(6²) + 3(6) - 12 = 216 - 144 + 18 - 12 = 78
It would take 4 years for the company to reach break-even point.
