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nataly862011 [7]
3 years ago
7

HELP!!!

Mathematics
1 answer:
scoundrel [369]3 years ago
3 0

Answer:

<em>The metalworker should use 60 kg of metal alloy that is 70% copper and 40 kg of metal alloy that is 20% copper.</em>

Step-by-step explanation:

<u>System of Equations </u>

Let's call  

x=amount of metal alloy that is 20% copper

y=amount of metal alloy that is 70% copper

The metalworker wants to create 100 Kg of 50% copper alloy. This gives us the first relation

x+y=100

The combination of 20% of x and 70% of y will produce 50% of the sum of both, thus

20x+70y=50(x+y)

Operating

20x+70y=50x+50y

Reducing and dividing by 10

2y=3x

The system of equations is easily solved by isolating x in the first equation

x=100-y

And replacing into the last equation

2y=3(100-y)

Operating

2y=300-3y

5y=300

y=60

Thus

x=100-60=40

The metalworker should use 60 kg of metal alloy that is 70% copper and 40 kg of metal alloy that is 20% copper.

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Two different floor plans are being offered in a new housing development. Several prospective buyers from three different age gr
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Answer:

0.677

Step-by-step explanation:Add up the values in the plan A column. There are 10+12+16 = 38 people who prefer plan A.

Add up the values in the "40-49" row to find that 16+8 = 24 people are ages 40 to 49.

We have 38+24-16 = 46 people who either prefer plan A, are aged 40-49, or fit both descriptions. I subtracted off 16 because those 16 people were counted twice when adding 38 and 24.

An alternative way to get this value of 46 is to add up everything that is in column1 or row 3 (or both). So that would get 10+12+16+8 = 46.

Now add up everything in the table to find out how many people were surveyed total. That would be 10+7+12+15+16+8 = 68 people overall.

The probability of someone liking plan A, or being age 40-49, or both is 46/68 = 0.6765 approximately. Rounding to 3 decimal places gives 0.677

3 0
3 years ago
What are the solutions of 3(2m − 1) ≤ 6m − 2?
kaheart [24]

Hello from MrBillDoesMath!

Answer:

The solution set is the set all all real number m

 

Discussion:

3(2m-1) <= 6m-2       =>

3*2m - 3*1 <= 6m-2  =>

6m - 3 <.= 6m-2       =>   (Subtract 6m from both sides)

0-3 <= -2     =>

-3 < = -2      


As -3 <=-2 is always true the solution set is the set all all real number m

Regards,  

MrB


4 0
3 years ago
An online company wants to establish ratings for the products they provide. To do so, they ask visitors to their website to eval
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Answer:

This is a group specific influence sample, it only shows a demographic sample of those that are influenced by the reviews in the first place.

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

3g+20

Step-by-step explanation:

Because Milena wants to have 3 cups per each guest and then she wants an additional 20 more.

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