Let 
be the amount of the 30% alloy and 
the amount of the 60% alloy the metalworker will use. However much is used, the final alloy will have a mass of
kilograms. For each kg of the 30% alloy used, 0.3 kg is copper; similary, each kg of the 60% alloy contributes 0.6 kg, so that
Now,
The expression 4x^2 represents - (4)(x)(x)
Answer:
1. Even - B
2. Even - B
3. Odd - A
Step-by-step explanation:
Example 1: 7+7 = 14
7 is odd, 14 is even.
Example 2: 4 + 4 = 8
4 is even, and 8 is even.
Example 3: 4 + 5 = 9
4 is even, 5 is odd, 9 is odd.
Im sorry im in sixgh grade i was so close to solving it but that didnt work, i tried
Answer:
x = 41/3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
7(1x - 3) = 4(x + 5)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Simplify: 7(x - 3) = 4(x + 5)
- Distribute: 7x - 21 = 4x + 20
- Subtract 4x on both sides: 3x - 21 = 20
- Add 21 on both sides: 3x = 41
- Divide 3 on both sides: x = 41/3
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 7(1(41/3) - 3) = 4(41/3 + 5)
- Multiply: 7(41/3 - 3) = 4(41/3 + 5)
- Subtract/Add: 7(32/3) = 4(56/3)
- Multiply: 224/3 = 224/3
Here, we see that 224/3 is indeed equivalent to 224/3. ∴ x = 41/3 is a solution to the equation.
And we have our final answer!
