18 kg of 15% copper and 72 kg of 60% copper should be combined by the metalworker to create 90 kg of 51% copper alloy.
<u>Step-by-step explanation:</u>
Let x = kg of 15% copper alloy
Let y = kg of 60% copper alloy
Since we need to create 90 kg of alloy we know:
x + y = 90
51% of 90 kg = 45.9 kg of copper
So we're interested in creating 45.9 kg of copper
We need some amount of 15% copper and some amount of 60% copper to create 45.9 kg of copper:
0.15x + 0.60y = 45.9
but
x + y = 90
x= 90 - y
substituting that value in for x
0.15(90 - y) + 0.60y = 45.9
13.5 - 0.15y + 0.60y = 45.9
0.45y = 32.4
y = 72
Substituting this y value to solve for x gives:
x + y = 90
x= 90-72
x=18
Therefore, in order to create 90kg of 51% alloy, we'd need 18 kg of 15% copper and 72 kg of 60% copper.
What are all the factors of 32? A 2, 4, 8, 16 B 1, 2, 16, 32 C 1, 2, 4, 8, 16, 32 D 2, 4, 6, 8, 12, 16, 32
Natasha2012 [34]
What are all the factors of 32?
answer : ( C ) 1, 2, 4, 8, 16 and 32.....
Each side of the triangle should contain four numbers whose sum is 28.
3+5+9+11=28
3+10+8+7=28
11+6+9+7=28
The pain of numbers that can be used for A and B is [5,9] The pain of numbers that can be used for C and D is [10,8] and the pain of numbers that can be used for E and f is [6,4].
<h3>
What are the 3 sides of a triangle?</h3>
The hypotenuse of a right triangle is its longest side; its "opposite" side is the one that faces the angle in question; and its "adjacent" side is the one that faces it. We use special terminology to define the sides of right triangles.
We use special terminology to define the sides of right triangles.
The side opposite the right angle is always the hypotenuse of a right triangle. It is the longest side in a right triangle.
The opposing and neighboring sides are the other two sides. The labels on these sides relate to an angle.
One side is across from another at a particular angle.
To learn more about sides of a triangle visit:
brainly.com/question/9449776
#SPJ4
Answer:
Check the explanation
Step-by-step explanation:
1) probability for odd or 00 = (18+1)/38 = 0.5
2) expected value can be calculated as follows :
14 * win probability - 13 * lose probability
=14 * (18/38) - 13*(20/38)
= -0.21
A foot is 12 in so a fraction could be 3/12