Answer:
84 ounces of pure gold
Step-by-step explanation:
Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy that is 75% gold?
Pure gold = 100% gold
Let the number of ounces of pure gold = x
Hence, we have the equation
40% × 60 ounces + 100%× x ounces = 75%(60 + x)ounces
= 0.4 × 60 + 1x = 0.75(60 + x)
= 24 + x = 45 + 0.75x
Collect like terms
x - 0.75x = 45 - 24
0.25x = 21
x = 21/0.25
x = 84 ounces
Therefore, we need 84 ounces of pure gold
20,000 will be the population 40 years from now.
1.) - Salmon Trout Halibut
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Fries Carrots Slaw F C S F C S
-There is 9 different options, assuming that since its a combination problem and not a sequence problem, order doesn't matter.
Answer:
The answer to your question is k = -3233
Step-by-step explanation:
Data
x₁, x₂ are the roots
Equation l x² - 8x + k = 0
Equation ll 3x₁ + 4x₂ = 29
k = ?
Process
1.- Write another equation
x₁ + x₂ = - 8
2.- Solve the system of equations by elimination
3x₁ + 4x₂ = 29 Equation l
x₁ + x₂ = -8 Equation ll
-Multiply equation ll by -3
3x₁ + 4x₂ = 29
-3x₁ - 3x₂ = 24
0 + x₂ = 53
-Find x₁
x₁ + 53 = -8
x₁ = -8 - 53
x₁ = -61
2.- Find k
(x₁)(x₂) = k
(53)(-61) = k
k = -3233
