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Llana [10]
3 years ago
13

To find how high school students feel about hot lunches, Adam walks to the nearest high When a=6 and b=22, c=33. If c varies dir

ectly with b and inversely with a, which equation models the solution? to participate in the study
Mathematics
1 answer:
Delvig [45]3 years ago
8 0

Answer:The equation that models the solution will be

33 = 22k / 6

Step-by-step explanation:

The two types of variation involved in this problem are direct variation and inverse variation.

In direct variation, when one item changes in the positive or negative direction, the other item also changes in the positive or negative direction.

In inverse variation, when one item changes in the positive or negative direction, the other item also changes in the negative or positive direction.

From the information given,

c varies directly with b

If we introduce a direct proportionality constant, k, then,

c = kb

c also varies inversely with a

If we introduce an inverse proportionality constant, k, then,

c = k/b

Therefore, c = kb / a

When a=6 , b=22 and c=33.

The equation that models the solution will be

33 = 22k / 6

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Answer:

Step-by-step explanation:

"Factors" are the numbers you multiply to get another number. For instance, factors of 15 are 3 and 5, because 3×5 = 15. Some numbers have more than one factorization (more than one way of being factored). For instance, 12 can be factored as 1×12, 2×6, or 3×4.

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4 years ago
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Find the value of two numbersif their sum is 12 and their difference is 4
Sonbull [250]
We can set up a system of equations:

x + y = 12
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Adding these two together:

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Substituting 8 in the first equation:

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Hope this helps!
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An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (An ordinary (fair) coin is tossed 3 times. Ou)
shepuryov [24]

Answer:

Probability distribution

X    P(X)

0    1/8

1     3/8  

2    3/8

3     1/8

Step-by-step explanation:

When a coin is tossed there are two outcomes head and tail. When three coins are tossed the possible outcomes are

Sample space=S={HTH,THH,TTH,HHH,HTT,THT,TTT,HHT}

The total number of outcomes is n(S)=8. The X be the random variable counting number of tails in each outcome and so X can take values as 0,1,2,3. The probabilities can be computed as P(X)=n(X)/n(S). The probabilities are calculated as under:

X   Outcomes           P(X)

0    HHH                    1/8

1     HHT,THH,HTH    3/8  

2    TTH,HTT,THT     3/8

3    TTT                        1/8

The probability distribution of X is as under:

X    P(X)

0    1/8

1     3/8  

2    3/8

3     1/8

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3 years ago
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