A bakery uses 3/4 cups of oats to make a 2 4/7 pounds of oatmeal cookies.how many cups of oats are required per pound of cookies

1 answer:

3 0

We can use ratios to find the answer to this.
Set up the ratio.
3/4 / 18/7 = x / 1

Multiply both sides by 1
3/4 / 18/7 = x

Inverse 18/7 to 7/18 so we can multiply.
3/4 * 7/18 = x
Multiply.
21/72 = x
Simplify7/24 = x
Therefore, 7/24 cups of oats is used per pound.

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Please solve the problem with steps

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Answer:

Infinite series equals 4/5

Step-by-step explanation:

Notice that the series can be written as a combination of two geometric series, that can be found independently:

$\frac{3^{n-1}-1}{6^{n-1}} =\frac{3^{n-1}}{6^{n-1}} -\frac{1}{6^{n-1}} =(\frac{1}{2})^{n-1} -\frac{1}{6^{n-1}}$

The first one: $(\frac{1}{2})^{n-1}$ is a geometric sequence of first term ( $a_1$ ) "1" and common ratio (r) " $\frac{1}{2}$ ", so since the common ratio is smaller than one, we can find an answer for the infinite addition of its terms, given by: $Infinite\,Sum=\frac{a_1}{1-r} = \frac{1}{1-\frac{1}{2} } =\frac{1}{\frac{1}{2} } =2$

The second one: $\frac{1}{6^{n-1}}$ is a geometric sequence of first term "1", and common ratio (r) " $\frac{1}{6}$ ". Again, since the common ratio is smaller than one, we can find its infinite sum: