X - the mass of the first alloy (15%)
y - the mass of the second alloy (75%)
x kg of the first alloy contains 15%x=0.15x=(15/100)x=(3/20)x kg of copper
y kg of the second alloy contains 75%y=0.75y=(75/100)y=(3/4)y kg of copper
90 kg of a 51% copper alloy contains 51%*90=0.51*90=45.9 kg of copper
![x+y=90 \\ \frac{3}{20}x+\frac{3}{4}y=45.9 \ \ \ |\times (-\frac{4}{3}) \\ \\ x+y=90 \\ \underline{-\frac{1}{5}x-y=-61.2} \\ x-\frac{1}{5}x=90-61.2 \\ \frac{4}{5}x=28.8 \ \ \ |\times \frac{5}{4} \\ x=36 \\ \\ 36+y=90 \\ y=90-36 \\ y=54](https://tex.z-dn.net/?f=x%2By%3D90%20%5C%5C%0A%5Cfrac%7B3%7D%7B20%7Dx%2B%5Cfrac%7B3%7D%7B4%7Dy%3D45.9%20%5C%20%5C%20%5C%20%7C%5Ctimes%20%28-%5Cfrac%7B4%7D%7B3%7D%29%20%5C%5C%20%5C%5C%0Ax%2By%3D90%20%5C%5C%0A%5Cunderline%7B-%5Cfrac%7B1%7D%7B5%7Dx-y%3D-61.2%7D%20%5C%5C%0Ax-%5Cfrac%7B1%7D%7B5%7Dx%3D90-61.2%20%5C%5C%0A%5Cfrac%7B4%7D%7B5%7Dx%3D28.8%20%5C%20%5C%20%5C%20%7C%5Ctimes%20%5Cfrac%7B5%7D%7B4%7D%20%5C%5C%0Ax%3D36%20%5C%5C%20%5C%5C%0A36%2By%3D90%20%5C%5C%0Ay%3D90-36%20%5C%5C%0Ay%3D54)
The metal worker should combine 36 kg of the 15% copper alloy and 54 kg of the 75% copper alloy to create 90 kilograms of a 51% copper alloy.
The probablility is 1/2 or 0.50 % chance.
Answer and Step-by-step explanation:
We know that t is in minutes, and 1 hours is equal to 60 minutes, so we plug in 60 for t.
C = 0.25(60) + 3.50
C = 15 + 3.50
C = 18.50
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Answer:
1. 11
2. 1
3. Associative property of addition: Changing the grouping of addends does not change the sum. For example, ( 2 + 3 ) + 4 = 2 + ( 3 + 4 ) (2 + 3) + 4 = 2 + (3 + 4) (2+3)+4=2+(3+4)left parenthesis, 2, plus, 3, right parenthesis, plus, 4, equals, 2, plus, left parenthesis, 3, plus, 4, right parenthesis
4.According to the identity property of multiplication, the product of any number multiplied by 1 is the number itself. ... Therefore, 14 × 1= 14 illustrates the Multiplicative identity. According to the identity property of addition, the sum of any number added to 0 is the number itself.
Step-by-step explanation: