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3 years ago

12

How to do ratios like 2/6 because it is confusing how to do rates because I don't know how to do either

1 answer:

yanalaym [24]3 years ago

3 0

The ratio is the relationship of two numbers. Here is an example, you have 2 apples and 6 bananas. To compare the ratio between the apples and the bananas we create a ratio, so the ratio would be 2 to 6, or 2:6, or 2/6.

A rate is a little different than the ratio, it is a special kind of ratio. That is a comparison of measurements that have different units, like pounds and quarters.

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3 years ago

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Which of the following is the solution to the equation 2/3 over 3x = 12?

andrey2020 [161]

Answer:

<u>x = 54 and none of the alternatives given is correct</u>

Step-by-step explanation:

Let's solve for x in the equation given, this way:

2/3 ÷ 3x = 12

2/3 * x/3 = 12

2x/9 = 12

2x = 108

x = 108/2 = 54

Proof of x = 54

2/3 * 54/3 = 108/9 = 12

<u>x = 54 and none of the alternatives given is correct</u>

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3 years ago

Evaluate the following when $a = 3$, $b = \frac14$, and $c = 5$: \[ \frac{b^{-1}}{ca^{-1} - ac^{-1}}. \] Thank you so much!

pickupchik [31]

$\dfrac{b^{-1}}{ca^{-1}-ac^{-1}}=\dfrac{\frac1b}{\frac ca-\frac ac}$

Multiply the numerator and denominator by $ac$ :

$\dfrac{\frac1b}{\frac ca-\frac ac}\cdot\dfrac{ac}{ac}=\dfrac{\frac{ac}b}{c-a}$

Since $b=\frac14$ , we have $b^{-1}=\frac1b=4$ . So substituting the values of <em>a</em>, <em>b</em>, and <em>c</em> gives us

$\dfrac{\frac{ac}b}{c-a}=\dfrac{3\cdot5\cdot4}{5-3}=\dfrac{60}2=\boxed{30}$

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3 years ago

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