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Rasek [7]
3 years ago
13

George bought 7.5 cases of pancake mix for his diner. A case contains 12 1.3-pound boxes. How many pounds of pancake mix did Geo

rge buy?
Mathematics
2 answers:
Ilya [14]3 years ago
8 0
In order to get the answer to this problem, first we have to find out how many pounds does one case of pancake mix have. We know that one box has 1.3 pounds of pancake mix. We also know that one case has 12 boxes. So first, we multiply 1.3 to 12.  The answer we will get is 15.6. One case of pancake mix has a total of 15.6 pounds of pancake mix. Now we also know there are 7.5 cases that George bought. So in order to get the total pounds George bought, we multiply 15.6 to 7.5. So all in all, George bought 117 pounds of Pancake Mix. 
kakasveta [241]3 years ago
8 0

Answer:

117 pounds of pancake mix was bought by George.

Step-by-step explanation:

We are given the following in the question:

Total number of cases of pancake bought =  7

Number of boxes in a case = 12

Total Number of boxes =

\text{Number of cases}\times \text{Number of box in a case} = 7.5\times 12\\= 90

Weight of one box = 1.3 pounds

Total pounds of pancake mix bought =

\text{Total number of boxes}\times \text{Weight of 1 box} = 90\times 1.3\\= 117

Thus, 117 pounds of pancake mix was bought by George.

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Turn 276% into a mixed number
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6 0
3 years ago
uppose that​ Mary's utility function is​ U(W) = W0.5​, where W is wealth. She has an initial wealth of​ $100. How much of a risk
Stels [109]

Note that U(W) = W^{0.5}

Answer:

Mary's risk premium is $0.9375

Step-by-step explanation:

Mary's utility function,  U(W) = W^{0.5}

Mary's initial wealth = $100

The gamble has a 50% probability of  raising her wealth to $115 and a 50% probability of lowering it to $77

Expected wealth of Mary, E_w

E_{w} = (0.5 * $115) + (0.5 * $77)

E_{w} = 57.5 + 38.5

E_{w} = $96

The expected value of Mary's wealth is $96

Calculate the expected utility (EU) of Mary:-

E_u = [0.5 * U(115)] + [0.5 * U(77)]\\E_u = [0.5 * 115^{0.5}] + [0.5 * 77^{0.5}]\\E_u = 5.36 + 4.39\\E_u = \$ 9.75

The expected utility of Mary is $9.75

Mary will be willing to pay an amount P as risk premium to avoid taking the risk, where

U(EW - P) is equal to Mary's expected utility from the risky gamble.

U(EW - P) = EU

U(94 - P) = 9.63

Square root (94 - P) = 9.63

If Mary's risk premium is P, the expected utility will be given by the formula:

E_{u} = U(E_{w} - P)\\E_{u} = U(96 - P)\\E_u = (96 - P)^{0.5}\\(E_u)^2 = 96 - P\\ 9.75^2 = 96 - P\\95.0625 = 96 - P\\P = 96 - 95.0625\\P = 0.9375

Mary's risk premium is $0.9375

7 0
3 years ago
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