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3 years ago

HELP!!!

Mathematics

1 answer:

scoundrel [369]3 years ago

3 0

Answer:

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

Step-by-step explanation:

System of Equations

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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A pair of shoes are on sale for 5/12 of the original price if the original price was $120 what is the sale price

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$50

the sale price is $\frac{5}{12}$ × $120

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3 years ago

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2.) Determine the sale price to the nearest cent $39.00 jeans 40% off

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Ok ok so I saw that someone else had given you an answer but I thought it might be best if you got an explanation to go with it.

Basically to know what your final price is you need to know what percentages represent.
Since they are simply parts of a whole (because you know 100% of something is a whole) we can look them as fractions like 40/100 in this case.

Then we can multiply 39.00 by 40/100 or 0.40 in decimal form and get 15.60.

It’’s important to remember that this 15.60 is just what 40%of 39 is so we still need to subtract it from our total to get the sales price.

39-15.60=23.40

So $23.40 is the sales price

Hope this helps!

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1 year ago

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Hey! I need loads of help on this! If you could help it would be such a relief!

il63 [147K]

Answer 1: For the Parallelogram inside the rectangle the area = 48

Rectangle = 275 275+48 = 323

Answer 2: For the answer for the square inside the parallelogram = 36

The answer to the parallelogram = 120 120+36 = 156

Step-by-step explanation: #1: A = bh = 12 · 4 = 48

A = wl = 11 · 25 = 275

#2: A = a2 = 62 = 36

A = bh = 15 · 8 = 120

Sorry if u didn't have to add im not to good at this ;(

Hope that helped though!

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3 years ago

4C. Quintin is using the three different shaped

Sauron [17]

The smallest number of tiles Quintin will need in order to tile his floor is 20

The given parameters;

number of different shapes of tiles available = 3

number of each shape = 5

area of each square shape tiles, A = 2000 cm²

length of the floor, L = 10 m = 1000 cm

width of the floor, W = 6 m = 600 cm

To find:

the smallest number of tiles Quintin will need in order to tile his floor

Among the three different shapes available, total area of one is calculated as;

$A_{one \ square \ type} = 5 \times 2000 \ cm^2 = 10,000 \ cm^2$

Area of the floor is calculated as;

$A_{floor} = 1000 \ cm \times 600 \ cm = 600,000 \ cm^2$

The maximum number tiles needed (this will be possible if only one shape type is used)

$maximum \ number= \frac{Area \ of \ floor}{total \ area \ of \ one \ shape \ type} \\\\maximum \ number= \frac{600,000 \ cm^2}{10,000 \ cm^2} \\\\maximum \ number= 60$

When all the three different shape types are used we can get the smallest number of tiles needed.

The minimum or smallest number of tiles needed (this will be possible if all the 3 different shapes are used)

$3 \times \ smallest \ number = 60\\\\smallest \ number = \frac{60}{3} \\\\smallest \ number = 20$

Thus, the smallest number of tiles Quintin will need in order to tile his floor is 20

Learn more here: brainly.com/question/13877427

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3 years ago