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RUDIKE [14]
2 years ago
6

Carl reads for an average of 1hr25min each night. How many hours does he read in 4 weeks? Enter a mixed number.

Mathematics
1 answer:
Vanyuwa [196]2 years ago
7 0

Answer:

39 2/3

Step-by-step explanation:

First we will write 1 hour and 25 minutes as a mixed number.  Since there are 60 minutes in an hour, this gives us

1 25/60

We can simplify this fraction, since both the numerator and denominator are divisible by 5:

1 (25÷5)/(60÷5) = 1 5/12

This is the fraction of hours he reads per nights.  There are 7 nights in a week:

(1 5/12)(7) = 17/12(7/1) = 119/12

He reads for 4 weeks:

119/12(4/1) = 476/12

12 will go into 476 39 times, with 8 left over:

39 8/12

Both 8 and 12 are divisible by 4:

39 (8÷4)/(12÷4) = 39 2/3

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If 2x + 5 = 8x, then 12x = ?
satela [25.4K]
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2 years ago
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A deli is offering two specials. The roast beef special gives a profit of $2.30 per sandwich, and the turkey special gives a pro
nikklg [1K]

Answer:

The constraints are as follows;

1) 2·x + 2·y ≤ 120

2) 3·x + 4·y ≤ 160

3) x = 2.30

4) y = 3.10

5) P = 2.3·x + 3.10

Step-by-step explanation:

The question is a word problem, with the analysis as follows;

The profit from the roast beef special per sandwich = $2.30

The profit from the turkey special per sandwich = $3.10

The number of slices of bread in the roast beef special = Two slices

The number of slices of cheese in the roast beef special = Three slices

The number of slices of bread in the turkey special = Two slices

The number of slices of cheese in the turkey special = Four slices

The number of slices of bread the deli has  = 120 slices

The number of slices of cheese the deli has = 160 slices

Let 'x' and represent the number of roast beef special and 'y' represent the number of turkey special the deli makes, then we have the constraints as follows;

For the number of slices of bread used;

2·x + 2·y ≤ 120...(1)

For the number of slices of cheese used;

3·x + 4·y ≤ 160...(2)

x = 2.30

y = 3.10

The profit 'P' is given by the following equation

P = 2.3·x + 3.10.

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Answer:

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