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Morgarella [4.7K]
3 years ago
7

18. Jackie drives 160 miles from Gary, Indiana to

Mathematics
1 answer:
astra-53 [7]3 years ago
6 0

Answer:

11 hours and 15 minutes (11.25)

Step-by-step explanation:

make a ratio

160:4.5

240/160=1.5

so 1 and 1/2 intervals of 4.5 hours

4.5+4.5= 9

4.5/2=2.25

9+2.25=11.25

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Answer:

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Step-by-step explanation:

4x=32

32/4=8

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umka21 [38]

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car ​as the following utility​ function: ​U(X,Y)equals10Upper X squaredY where X is her consumption of​ Blu-ray disks with a pri
mr_godi [17]

Answer:

She consumes 30 blue ray disk and 60 DVD respectively.

Step-by-step explanation:

Consider the provided information.

U(x,y)=10x^2y

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MU_x=20xy

MU_y=10x^2

Her consumption of​ Blu-ray disks (X) with a price of ​$40 and Y is her consumption of DVDs with a price of ​$10.

The ratio of marginal utility of good x to y is equal to the price ratio:

\frac{MU_x}{MU_y}=\frac{P_x}{P_y}

Substitute the respective values.

\frac{20xy}{10x^2}=\frac{40}{10}

\frac{2y}{x}=4

2y=4x

y=2x

She has ​$1800 with which to spend on the two goods.

Her consumption of​ Blu-ray disks (X) with a price of ​$40 and Y is her consumption of DVDs with a price of ​$10. She has ​$1800 with which to spend on the two goods.

Therefore, 40x+10y=1800

4x+y=180

Substitute the value of y in above equation.

4x+2x=180

6x=180

x=30

Thus, y=60

She consumes 30 blue ray disk and 60 DVD respectively.

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3 years ago
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Which value of x is in the solution 2|x-3|&lt;4
Roman55 [17]

Answer:

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Step-by-step explanation:

Inequalities of the type | x | < a , have solution of the form

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| x - 3 | < 2 , then

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3 years ago
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