Let X = the 29% alloy and Y = the 60% alloy.
They want a total of 80kg, so you have X +Y = 80
Rewrite that to get X = 80-Y
You also want 0.20X + 0.60Y = 0.52(80)
Replace X with 80-y:
0.20(80-y) + 0.60y = 0.52(80)
Simplify:
16 - 0.20y + 0.60y = 41.6
Combine like terms:
16 +0.40y = 41.6
Subtract 16 from each side:
0.40y = 25.6
Divide both sides by 0.40
y = 25.6 / 0.40
y = 64
Now you have Y replace y with 80 in X = 80-Y
X = 80 - 64
X = 16
They need 64 Kg of the 60% alloy and 16 Kg of the 20% alloy.
Answer:
12n -5 ≤ 55
Step-by-step explanation:
12 times a number (represented by n) is 12n.
"Decreased by 5" means 5 is subtracted from the product, giving 12n-5.
"Is no more than 55" means "is less than or equal to 55".
Then the expression written using math symbols is ...
12n -5 ≤ 55
Answer: I am pretty sure the answer is 40,320
Step-by-step explanation:
If you do 8x7x6x5x4x3x2 it equals 40,320
Answer:
see explanation
Step-by-step explanation:
Note that (x² + 5)(x² - 5) are the factors of a difference of squares
a² - b² = (a + b)(a - b)
with a = x² and b = 5, hence
(x² + 5)(x² - 5) = (x²)² - 5² = 
- 25, thus
3( - 25) = 3 - 75
