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2 years ago

You randomly choose one paper clip from a jar. In the jar there are 6 green, 3 white, 4 red, 2 blue, and 5 yellow paper clips.

Mathematics

1 answer:

grigory [225]2 years ago

7 0

Answer:

You have a 25%, or 1/4 chance that you will choose a yellow paper clip.

Step-by-step explanation:

1) First, you want to find the total number of paper clips.

6 + 3 + 4 + 2 + 5 = 20 total paper clips

<u>This is your denominator.</u>

2) From the problem, we can understand that there are 5 yellow paper clips.

<u>This is your numerator.</u>

3) From the numerator and denominator we have from above, your fraction is 5/20.

4) This can be simplified into 1/4, which is 25%.

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What is T In the equation 3/7+t=20/21

stealth61 [152]

Answer:

$\large\boxed{t=\dfrac{11}{21}}$

Step-by-step explanation:

$\dfrac{3}{7}+t=\dfrac{20}{21}\qquad\text{subtract}\ \dfrac{3}{7}\ \text{from both sides}\\\\\dfrac{3}{7}-\dfrac{3}{7}+t=\dfrac{20}{21}-\dfrac{3}{7}\qquad\text{LCD(7, 21)=21}\\\\t=\dfrac{20}{21}-\dfrac{3\cdot3}{7\cdot3}\\\\t=\dfrac{20}{21}-\dfrac{9}{21}\\\\t=\dfrac{20-9}{21}\\\\t=\dfrac{11}{21}$

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2 years ago

Select the equivalent expression.

Free_Kalibri [48]

Answer:

$\frac{7^{15}}{3^{30}}$

Step-by-step explanation:

The given expression is:

$(\frac{3^{-6}}{7^{-3}})^{5}$

Moving the expression to the other side in the fraction changes its sign to opposite. A numerator with negative exponent, when written in denominator will have the positive exponent. Using this rule, we can write:

$(\frac{3^{-6}}{7^{-3}})^{5}\\\\ = (\frac{7^{3}}{3^{6}} )^{5}$

The exponent 5 can be distributed to both numerator and denominator as shown:

$(\frac{7^{3}}{3^{6}} )^{5}\\\\ = \frac{(7^{3})^{5}}{(3^{6})^{5}}$

The power of a power can be written as a product. i.e.

$\frac{(7^{3})^{5}}{(3^{6})^{5}}\\\\ =\frac{7^{15}}{3^{30}}$

So, the expression similar to the given expression and with positive exponents is: $\frac{7^{15}}{3^{30}}$

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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