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Flura [38]
3 years ago
13

If Charles lost 20 pounds, he would weigh seven times as much as his dog. Together they weigh 200 pounds. How much does each wei

gh?
Mathematics
1 answer:
barxatty [35]3 years ago
6 0

Answer: Weight of Charles = 177.5 pounds

Weight of dos = 22.5 pounds.

Step-by-step explanation:

Let x = Weight of Charles

y = Weight of dog.

As per given , we have the following system of linear equation :

x+y=200--------(i)\\\\x-20=7y-----------(ii)

We can write (ii) as :

x-7y=20---(iii)

Subtract equation (iii) from (i) , we get

8y=180\\\\ y=\dfrac{180}{8}=22.5

Put this value in (1) , we get

x+22.5=200\Rightarrow\ x=200-22.5=177.5

Hence ,  Weight of Charles = 177.5 pounds

Weight of dos = 22.5 pounds.

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Lina20 [59]

Given:

Cards labelled 1, 3, 5, 6, 8 and 9.

A card is drawn and not replaced. Then a second card is drawn at random.

To find:

The probability of drawing 2 even numbers.

Solution:

We have,

Even number cards = 6, 8

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So, the probability of getting an even card in first draw is:

P_1=\dfrac{\text{Number of even cards}}{\text{Number of total cards}}

P_1=\dfrac{2}{6}

P_1=\dfrac{1}{3}

Now,

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So, the probability of getting an even card in second draw is:

P_2=\dfrac{\text{Number of remaining even cards}}{\text{Number of remaining total cards}}

P_2=\dfrac{1}{5}

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P=P_1\times P_2

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2 years ago
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erastovalidia [21]

Given:

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Domain: It is the set of inputs. These are the x-values for which the function is defined.

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