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irga5000 [103]
3 years ago
7

Samuel and Randi are placemat weavers. Samuel can weave 7 placemats in 8 hours. Randi can weave 5 placemats in 4 hours. How many

placemats can they make in 5 days if they worked 8 hours each day?
Mathematics
1 answer:
goblinko [34]3 years ago
8 0

Answer: 85 placemats

Step-by-step explanation:

Let’s split it into three parts: how much Samuel can weave, how much Randi can weave, and how much they can weave in total

<u>Part 1: Samuel</u>

First, let’s figure out how much Samuel can weave!

First, we know that Samuel can weave 7 placemats in 8 hours (1 day). So, if he weaved placemats for 5 days, then:

= 7 x 5

= <u>35</u>

<em>Therefore, Samuel weaved 35 placemats in 5 days if he worked 8 hours each day.</em>

<u>Part 2: Randi</u>

We know that Randi makes 5 placemats in 4 hours, which is half, a day. But lets figure out how many placemats he can make it a day.

All we have to do is multiply by two.

= 5 x 2

= 10

So, we now know that he can make 10 placemats in a day. Now, let’s see how many placemats he can make in five days.

= 10 x 5

= <u>50</u>

<em>Therefore, Randi weaved 50 placemats in 5 days if he worked 8 hours each day.</em>

<u>Part 3: Adding Them</u>

Now, we have 35 placemats from Samuel and 50 placements from Randi. So, we have to add them.

= 35 + 50

= 85

Therefore, Randi and Samuel can make 85 placemats in 5 days together if they work 8 hours each day.

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2 years ago
Using the following image, solve the problems below given that U is the midpoint point of TV.
Inessa05 [86]

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see explanation

Step-by-step explanation:

Given that U is the midpoint of TV, then

TU = UV , substitute values

8x + 11 = 12x - 1 ( subtract 12x from both sides )

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- 4x = - 12 ( divide both sides by - 4 )

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Thus

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8 0
3 years ago
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Ket [755]

Answer:

d) 12.9 in

Step-by-step explanation:

3)

ΔABC ≅ ΔXYZ

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XZ = 10 *9/7  

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Answer:

d) 12.9 in

5 0
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