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dimulka [17.4K]
3 years ago
13

Eden and Eva's mom kept track of how much each sister grew every 4 months. Eden grew 1 1/2, 7/8 and 2 inches and Eva grew 1 3/4

, 1 1/4, and 1 1/8 inches. How much more did one sister grow than the other ?
A. 1/2 of an inch
B. 1/4 of an inch
C. 1/8 of an inch
D. 1/10 of an inch
Mathematics
2 answers:
Katarina [22]3 years ago
8 0
Answer: B (I think). Explanation: Turn the mixed fractions into improper fractions. Get a common denominator by multiplying the denominator and the numerator by the same number (common denominator is 8), then add the three improper fractions together. Eden grew 35/8 inches and Eva grew 33/8 inches. When we turn them into mixed fractions we will get, (Eden: 4 3/8) and (Eva: 4 1/8). After that, we subtract them both and get 2/8. We know that 1/4 is 2/8 since if we multiply 1/4 by 2 (by the denominator and numerator), we will get 2/8. (Sorry if you still don’t understand).
Elza [17]3 years ago
3 0

Answer:

Answer: B (I think). Explanation: Turn the mixed fractions into improper fractions. Get a common denominator by multiplying the denominator and the numerator by the same number (common denominator is 8), then add the three improper fractions together. Eden grew 35/8 inches and Eva grew 33/8 inches. When we turn them into mixed fractions we will get, (Eden: 4 3/8) and (Eva: 4 1/8). After that, we subtract them both and get 2/8. We know that 1/4 is 2/8 since if we multiply 1/4 by 2 (by the denominator and numerator), we will get 2/8. (Sorry if you still don’t understand).

Step-by-step explanation:

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Step-by-step explanation:

(a) Find the total cost at a production level of 1000 units.

C(x) = 2,000 + 160x + 4x^{3/2}\\\\C(1,000)=2,000 + 160(1,000) + 4(1,000)^{3/2}\\\\C(1,000)=2,000+160,000+126,491.11= 288,491.11

(b) Find the average cost at a production level of 1000 units.

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(c) Find the marginal cost at a production level of 1000 units.

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(d) Find the production level that will minimize the average cost.

c=2,000x^{-1}+160+4x^{1/2}\\\\dc/dx=2,000(-1)x^{-2}+0+4(1/2)x^{-1/2}=0\\\\-2,000x^{-2}+2x^{-1/2}=0\\\\2x^{-1/2}=2,000x^{-2}\\\\x^{-1/2+2}=1,000\\\\x^{3/2}=1,000\\\\x=1,000^{2/3}=100

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