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
(x + 6)(4x + 1)
x times 4x = 4x^2
x times 1 = x
6 times 4x = 24x
6 times 1 = 6
<span>And finally, by adding like terms, 4x^2 + 25x + 6
I hope this helps you! Good luck :)</span>
Jim's backyard:
15 5/6 yd long
10 2/5 yd wide
Sod pieced:
1 1/3 yd long
1 1/3 yd wide
Area of backyard:
15 5/6 times 10 2/5 =
164 2/3 yd
Area of Sod Piece:
1 1/3 times 1 1/3 =
1 7/9 yd
Divide area of backyard by area of sod piece :
164 2/3 divided by 1 7/9 =
92 5/8
He will need to buy 93 pieces of sod to cover his backyard.
Answer:
r=C
2π
Step-by-step explanation:
C.) 5 is the value of X and the value of Y is 5/2
