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garik1379 [7]
3 years ago
13

The table shows the number of cups of water required when cooking different amounts of rice. Amount of Rice (cups) Amount of Wat

er (cups) 2 5 3 7.5 5 12.5 8 20 Which statements apply to the ratio of rice and water? The amount of rice is the dependent value. The amount of water is the dependent value. The amount of rice is the independent value. The amount of water is the independent value. The values cannot be labeled as dependent or independent without a given equation. The values cannot be labeled as dependent or independent since any amount can be selected for either.
Mathematics
1 answer:
skad [1K]3 years ago
8 0

Answer:

Consider

Amount of Rice (cups) : Amount of Water(cups)

1.2/5

2. 3/7.5=2/5

3. 5/12.5=2/5

4. 8/20=2/5

As in all cases Amount of Rice and Amount of water in cups are same.

i.e⇒ Amount of rice × K = Amount of water, where K is constant of proportionality.

So, Among all the statements

⇒ The amount of rice is the dependent value. The amount of water is the dependent value are correct.

Which means if either of them (Amount in cups) is given we can find other.




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In a candy mix there are 4 green bars for every 3 red bars. How many red bars are there if there are 200 green bars
erastovalidia [21]

Answer:

Since there are 4 green bars for every 3 red bars and we are trying to find the number of red bars if there are 200 green bars, we can create the ratio:

4 x : 3 y

Where  x  is equal to the number of green bars and  y is the number of red bars.

We know the number of green bars is equal to 200, so we can divide it by 4, giving us:

200 /4=50

Then we can solve for  y , the number of red bars.

// Multiple y  by 50

3 ⋅ 50 = 150

So for every 4 green bars, there are 3 red bars.

For every 200 green bars, there are 150 red bars

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

An <em>inverse</em> function is any function that "undoes" another function. If we think of the function f as some kind of machine that takes in a number x as input and produces a number f(x) as an output, when we give inverse function f^{-1} the number f(x) as in input, we get x, our original input, as the output f^{-1}(x)

We need a function that undoes f(x)=e^x, and the natural choice for undoing an exponent is with a logarithm. Here, our base is e, so we'll choose \log_e{x}=\ln{x} as our inverse function. Let's see how that works:

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