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Dmitry [639]
3 years ago
9

six coins in your pocket: 5 cents, 10 cents, 20 cents, 50 cents, $1, $2. How many different sums of money can you make?

Mathematics
1 answer:
TEA [102]3 years ago
3 0

Answer:

You can make 64 different sums (which includes a sum of $0 using none of the coins).

Step-by-step explanation:

The number of sums you can make is equal to:

⁶C₀ + ⁶C₁ + ⁶C₂ + ⁶C₃ + ⁶C₄ + ⁶C₅ +⁶C₆ = 1 + 6 + 15 + 20 + 15 + 6 + 1 = 64

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Step-by-step explanation:

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Read 2 more answers
A dietitian at a hospital wants a patient to have a meal that has 126 grams of protein, 82 grams of carbohydrates, and 101.5 mil
katovenus [111]
<h3>The dietitian provide 2.5 numbers of salmon steak, 1 baked egg and 2 acorn squash for the patient. </h3>

Step-by-step explanation:

Let

Number of salmon steak = x

Number of baked eggs =y

and Number of acorn squash =z

Total amount of protein that is provided to the patient =40 x +20 y+3 z

Total amount of carbohydrates that is provided to the patient = 20 x+2y +15z

Total amount of vitamin A that is provided to the patient = x+25 y+ 37z

According to the problem,

40x+20y+3z=126,     20x+2y+15z=82    and   x+25y+37z= 101.5

Solving the above equations

we get x= 2.5 ,y= 1 and z=2

So ,  The dietitian provide 2.5 numbers of salmon steak, 1 baked egg and 2 acorn squash for the patient.

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