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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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Pie

Answer:

around 1/4

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The length of a rectangle is 4 ya more than twice the width x. The area is 510 yd^2. Find the dimensions of the given shape

Furkat [3]

Answer:

The dimensions of the rectangle are

length = 34 yards

width = 15 yards

Step-by-step explanation:

Given:

The shape is of rectangle,

Width of rectangle = x

Area of rectangle = 510 yd²

According to the given condition

Length of rectangle = 4 + 2x

To Find:

length =?

Width = ?

Solution:

We know that,

$\textrm{Area of rectangle} = Length\times Width$

On substituting the given values we get

$510 = (4 + 2x)\times x\\510 = 4x+2x^{2}\ \textrm{using distributive property}\\\textrm{dividing throughout by two}\\255=2x+x^{2} \\\\x^{2} +2x -255 = 0\\$

Which is a quadratic equation so we will apply splitting the middle term that is factorization we get

∴ $x^{2}+ 17x -15x -255=0\\x(x+17)-15(x+17)=0\\(x-15)(x+17)=0\\\therefore x-15 =0\ or\ x+17=0\\\\\textrm{x cannot be negative i.e -17}\\\therefore x=15$

∴ Width x = 15 yard

∴ Length = 4 + 2x = 4 +2 × 15 = 34 yard

The dimensions of the rectangle are

length = 34 yards

width = 15 yards

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3 years ago

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velikii [3]

Answer:

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Step-by-step explanation:

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Mnenie [13.5K]

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