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nekit [7.7K]
4 years ago
7

A metalworker has a metal alloy that is 30% copper and another alloy that is 65% copper. How many kilograms of each alloy should

the metalworker combine to create 80kg of a 51% copper alloy?
Mathematics
1 answer:
LenKa [72]4 years ago
7 0

Step-by-step explanation:

If x is the mass of 30% copper alloy, and y is the mass of 65% copper alloy, then:

x + y = 80

0.30x + 0.65y = 0.51(80)

Solving the system of equations using substitution:

0.30x + 0.65(80 − x) = 0.51(80)

0.30x + 52 − 0.65x = 40.8

11.2 = 0.35x

x = 32

y = 80 − x

y = 48

The metalworker needs 32 kg of 30% copper alloy and 48 kg of 65% copper alloy.

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Temka [501]

Answer:

B = \frac{31.5}{5.25}= 6

H = 18-6= 12

So then Mark purchased 12 Hamburgers and 6 packages of buns

Step-by-step explanation:

For this case we can define the following notation:

B represent the number of packages buns

H represent the number of hamburgers

And from the information given we can set up the conditions into the following equations:

6.75 H +1.50 B =90  (1) represent the total cost

H +B =18  (2) represent the total number of items

Solving H from equation (2) we got:

H = 18 -B   (3)

And replacing equation (3) into equation (1) we got:

6.75 (18-B) +1.5 B =90

And dsitributing the terms we have:

121.5 -6.75 B +1.5 B =90

And solving for B we got:

121.5-90 = 5.25 B

And dividing by 5.25 we got:

B = \frac{31.5}{5.25}= 6

And replacing the value of B into equation (3) we got:

H = 18-6= 12

So then Mark purchased 12 Hamburgers and 6 packages of buns

6 0
4 years ago
What is the solution of the equation shown?<br> -1.2(3x - 3) = 4(3x + 0.9)
MariettaO [177]

Answer: x=0

Step-by-step explanation: -1.2(3x-3) = 4(3x+0.9)                                           -3.6x+3.6=12x+3.6                                                                                             -3.6x-12x+12x=12x+3.x+12x                                                                                   -15.6x+3.6-3.6=3.6-3.6                                                                                          -15.6x/-15.6=0/-15.6                                                                                           x=0                          

4 0
3 years ago
The hypotenuse of a right triangle measures 58 cm and one of its legs measures 42 cm. What is the length of the missing leg?
tresset_1 [31]
Pythagorean theorem
c2 = a2 + b2
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1600 = b2
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Answer:

24 ways

Step-by-step explanation:

Given that

Number of students = 4

Lecturer have to stand in the middle position.

We have five places in which middle place is for lecturer,now we have four places and we have to arrange four students on that four places.So there will 4! ways to arrange those students.

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4! =24

So we have 24 ways to arrange 4 students and one lecturer .

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3 years ago
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