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3 years ago

If you can buy 2/3 of a box of chocolate for five dollars how much can you purchase for 4 dollars

Mathematics

2 answers:

german3 years ago

8 0

Answer:

8/15

Step-by-step explanation:

You can buy 1/3 for 2.5 dollars

You can buy 1 for 7.5 dollars

You can buy 1/6 for 1.125

Lisa [10]3 years ago

6 0

Hi,

First calculate how much chocolate for 1 dollar.

\frac{2}{3} = 0.67 \\ 0.67 \div 5 = 0.134

Then multiply by four to get amount of chocolate for four dollars.

0.134 \times 4 = 0.536

Answer: 0.536

Hope this helps.

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3 years ago

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3 years ago

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A good place to start is to set $\sqrt{x}$ to y. That would mean we are looking for $\sqrt{120-y}$ to be an integer. Clearly, $y\leq 120$ , because if y were greater the part under the radical would be a negative, making the radical an imaginary number, not an integer. Also note that since $\sqrt{x}$ is a radical, it only outputs values from $[0,\infty]$ , which means y is on the closed interval: $[0,120]$ .

With that, we don't really have to consider y anymore, since we know the interval that $\sqrt{x}$ is on.

Now, we don't even have to find the x values. Note that only 11 perfect squares lie on the interval $[0,120]$ , which means there are at most 11 numbers that x can be which make the radical an integer. All of the perfect squares are easily constructed. We can say that if k is an arbitrary integer between 0 and 11 then:

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3 years ago

Two cars leave at the same time from points A and B, the distance between them is 280 km. If the cars meet each other, they’ll m

kykrilka [37]

Set up the following equations:

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$14x - 14y = 280$

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$14x - 14y = 280$

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The speed of car A is 80 mph.

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Subtract 160 from both sides.

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Divide both sides by 2 to get y by itself:

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The speed of car B is 60 mph.

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3 years ago