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3 years ago

How many stockings would they have filled ?

Mathematics

2 answers:

grandymaker [24]3 years ago

8 0

Answer:

After 5 hours they both catch up

Step-by-step explanation:

Given : Two workers in a holiday boutique are filling stockings with small gifts and candy.

Kate had already filled 5 stockings and will continue to fill them st a rate of 4 stockings per hour.

Todd, who just arrived to help, can fill 5 stockings per hour. At some pint, Todd will catch up with Kate and they will have completed the same number of stockings.

To find : How long will it take for Todd to catch up?

Solution :

We know, Kate has already filled 5 stocking.

She fills 4 stockings every hour.

Let after x hours Kate filled stockings

Total stoking Kate has made is =

Now, Todd started out with none done. He fills 5 stockings per hour.

So, after x hours he fill stockings.

Total stockings Todd has made is =

We have to find when they catch up

We equate the equations,

Therefore, After 5 hours they both catch up.

vitfil [10]3 years ago

3 0

Can you add a little more context

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Item 16 A sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. What is the difference of the vol

Zigmanuir [339]

Answer:

$672\pi \text{ cm}^3$ .

Step-by-step explanation:

We have been given that a sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. We are asked to find the difference of the volumes of the spheres.

We will use volume formula of sphere to solve our given problem.

$\text{Volume of sphere}=\frac{4}{3}\pi r^3$ , where r is radius of sphere.

The difference of volumes would be volume of larger sphere minus volume of smaller sphere.

$\text{Difference of volumes}=\frac{4}{3}\pi(\text{8 cm})^3-\frac{4}{3}\pi(\text{2 cm})^3$

$\text{Difference of volumes}=\frac{4}{3}\pi(512)\text{ cm}^3-\frac{4}{3}\pi(8)\text{ cm}^3$

$\text{Difference of volumes}=\frac{4}{3}\pi(512-8)\text{ cm}^3$

$\text{Difference of volumes}=4\pi(168)\text{ cm}^3$

$\text{Difference of volumes}=672\pi\text{ cm}^3$

Therefore, the difference between volumes of the spheres is $672\pi \text{ cm}^3$ .

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3 years ago

The model represents an inequality. what is the solution set for the inequality?

Ierofanga [76]

Answer:

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Step-by-step explanation:

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(9/18)(9/18) = 81/324. The probability that Amy takes out pink chips in both draws is 81/324.

In this example we will use the probability property P(A∩B), which means given two independent events A and B, their joint probability P(A∩B) can be expressed as the product of the individual probabilities P(A∩B) = P(A)P(B).

The total number of chips of different colors in Amy's bag is:

8 blue chips + 9 pink chips + 1 white chip = 18 color chips

Amy takes out a chip from the bag randomly without looking, she replaces the chip and then takes out another chip from the bag.

So, the probability that Amy takes out a pink chip in the first draw is:

P(A) = 9/18 The probability of takes out a pink chip is 9/18 because there are 9 pink chips in the total of 18 color chips.

Then, Amy replaces the chip an takes out another which means there are again 18 color chips divide into 8 blue chips, 9 pink chips, and 1 white chip. So, the probability of takes out a pink chip in the second draw is:

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Step-by-step explanation:

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